tag:blogger.com,1999:blog-25004470909237569982024-03-21T14:01:05.817-07:00Educating MrMattockPeter Mattockhttp://www.blogger.com/profile/10927650959808699047noreply@blogger.comBlogger127125tag:blogger.com,1999:blog-2500447090923756998.post-53995009605513594172023-10-26T09:52:00.003-07:002023-10-26T09:52:23.431-07:00Maps and Maths<p>Wow, it has been a while since I have written anything other than posts to link sessions to, but I had something in my head today which I just had to write about.</p><p>Recently Ofsted have produced a report, "<a href="https://www.gov.uk/government/publications/subject-report-series-maths/coordinating-mathematical-success-the-mathematics-subject-report" rel="nofollow" target="_blank">Coordinating mathematical success</a>" where they outline what their inspections have found about what maths teachers are doing well, and not so well. The Association of Teachers of Mathematics (of which I am a member just to make sure any biases are public) have written a <a href="https://www.atm.org.uk/News/atm-response-to-ofsted-review-of-mathematics-teaching-report" target="_blank">response</a> to this which I think is very balanced - supportive in some areas and rightly critical in other. There is one section of this response to highlight:</p><p>"<span style="background-color: white; color: #404040; font-family: "Raleway Regular", Arial, "sans serif"; font-size: 16px;">It is of course possible to create a journey of ‘small steps’ with the hope that these steps become connected, but we challenge the prominence of these small steps in the report. When undertaking a journey, the primary focus shouldn’t be on each step but rather on an awareness of the landscape and the multiple possibilities within it.</span><span style="background-color: white; color: #404040; font-family: "Raleway Regular", Arial, "sans serif"; font-size: 16px;"> "</span></p><p>I have seen these arguments before and also seen people before liken this to a map - with some advocating providing a map of the journey through mathematics, with strict adherence to the planned route and a focus on each "step" of the journey and where it takes us (the "small steps" indicated above), whilst others advocate for just getting out there and exploring, creating our own sense of where things are in the landscape, and looking out for interesting landmarks to go and see. </p><p>The reason this came to mind is that today I was travelling to the lovely High School Leckhampton in Cheltenham to work with the GLOW Maths Hub LLME community on using Cuisenaire rods. As it was a nice day I decided to walk the (little over half an hour) journey from Cheltenham Spa train station to the school. On my way, I used Google Maps walking feature in the way I often do, which is to get it to show me the journey, but not to start the navigation so that I can retain an overview of the whole trip and my progress on it. Now, of course, there is plenty of analogy already there in terms of making sure that pupils retain a sense of the journey and where they are within it, but it wasn't this that prompted my reflection. What did prompt my reflection were three incidents along the journey:</p><p>1) I took a wrong turn at a place where the map wasn't complete. I was supposed to follow a footpath that appeared to be the only way I could go on the map. However, when I actually arrived there was a smaller path (that turned out to be the path I should be taking) and a larger path (which I assumed would be the one I would take). I walked for about a minute down this larger path before glancing at my phone and realising that I wasn't following the path laid out for me, and that the path that I was following didn't appear to be marked on the map. Could I have got from where I actually was back on course? Perhaps, but not being familiar with the area I didn't know this (or know how) and so I back tracked the way I had come to get back on the correct path. This cost me a small amount of time, but fortunately I had factored extra time into my journey.</p><p>2) A little later I came out of the correct path onto a road on which I was supposed to turn left and follow around an arc to continue my journey when I noticed that, across the road, a new path seemed to continue on in the direction I was headed, potentially cutting out the arc. This path was also absent from the map. In that moment I faced a choice - follow the route as programmed or divert off on this path which I was fairly sure was going in the right direction, and possibly quicker than the route shown on the map, However, I couldn't guarantee that this was the case, that the path wouldn't veer off and take me in an unwanted direction. I made the choice that I suspect quite a few people would make which was to forgo the new path and continue on the route laid out. When I got around the bend a little later, I noticed that there was a path exiting onto the road again, and noted that this was likely the path I had noticed before.</p><p>3) On my way back from the school to the station, I didn't really need my map. I had it on, as a safety net, and my have glanced at it once or twice, but I didn't need it to tell me all of the twists and turns I needed to take - I knew the way I had come and was quite comfortable back-tracking along that route. Except I didn't really back-track along that route. I was able to adapt it to make it more comfortable for me. This time I did take the path I alluded to in point 2, and it was indeed quicker than following the road around. I had also noticed on my journey to the school that the small path I had come down in point 1, was connected back to the road I had walked down before joining it at a point further along the road, and that I could probably save myself an uncomfortable and a little muddy walk by cutting out onto the road earlier when I was coming back. So I did that (and this is one of the points where I did glance at the map again to confirm that this would be an acceptable alternative.</p><p>Why did this prompt me to think about maths teaching/curriculum (as if the reader couldn't guess!)? Well it suggested to me a few things:</p><p>1) The map was ultimately important. Because I was under a time pressure going in both directions (one to get to the session on time, and one to get to my return train on time), I likely wouldn't have got to where I needed to be when I needed to be without the map. Given that school level maths has its own time pressures built in, I think the idea of having the map and a planned journey within it is important, which translates directly to a well-sequenced curriculum that takes learners on a journey.</p><p>2) The usefulness of the map, and sticking more rigidly to the planned route on the way to the school was, in part, down to the fact that it allowed me see places where, on my return journey, I could perhaps be a little more flexible. As I mentioned, I didn't use the step by step navigation because I like to retain the overview but I wonder if I had, whether I would have noticed those same places where I could adapt the route as I did in point 3 above. I wonder about whether we are doing a disservice to pupils in situations where we take them through very small steps, particularly for those pupils (like me) who would get frustrated if they couldn't see where that step fell in the journey, and also if this deprives all pupils of the opportunity to notice places where they could take an alternative. However, this is linked to the next reflection/suggestion...</p><p>3) It was only because I had followed the route provided on the way there that I felt comfortable making adaptations when I followed the route in reverse. I don't think, it is the reverse thing here that is important - I think it was familiarity with the journey between the two. I feel like I could walk a very similar route again from the station to the school without the map, or only having to reference it occasionally rather than follow it completely (at least whilst it is fresh in my memory). But it was only the familiarity I gained that has given me this confidence. Now I am sure that I could eventually get the same confidence if I took the time to stroll around the space between the two venues, but that time wasn't available to me given the aforementioned time pressures. I also think that the map is useful to help with my explorations were I to have the time to explore, which leads to the next point...</p><p>4) The route I took wasn't the only route I could have taken. When I first put my destination into Google Maps, it offered me three possible routes to complete that journey. Being able to look at the map suggested several others (mainly slight deviations or possible shortcuts based on the three main routes). On the route I followed I saw several landmarks - a church, a Texaco garage, street names etc. that were useful checks that I had for when I made the return trip and would be useful were I to make the trip again. But there were lots of things I didn't see because of the route I chose. Some of those things may have been more interesting than the church or the garage. I suspect had I taken a more westerly route my views would have been better (judging by the glimpses of the countryside I saw in that direction whilst following the route I did, and my subsequent scrolling of Google Maps to see what might lie in that direction). </p><p>So what do I take away from all of this?</p><p>1) A planned sequence is ultimately useful, but having the step by step navigation would perhaps draw attention away from the journey itself, frustrate those that need to see how their progress fits into the journey as a whole, and might mean those following the journey miss some things that could build their confidence in being adaptable when encountering the same or similar content in the future - so part of our job is making sure that they don't miss these things and that they have the opportunity to recognise the important aspects of the landscape.</p><p>2) No route or map is perfect, no matter how expert the map maker/route planner, so it is important to build in time to allow for the occasional wrong turn, even with those who are generally quite good at following the journey - a new journey is still a new journey.</p><p>3) For some at least, the confidence to explore and adapt will be enhanced by the security of "the map", the pre-existing knowledge of the landscape that can be accessed, and knowing that they are never too far away from a familiar space.</p><p>4) We must build in time for that exploration and adaptation once the map is laid out - if we are only ever moving onto a new journey with every step then, for most, the only thing they will feel like they can do is follow the route exactly.</p><p>5) When we plan a journey through a curriculum for pupils there will always be different competing considerations - time, which route allows the "best" experiences, the attitudes of the learners towards possible wrong turns or deviations etc. and we need to evaluate our chosen journey to look at what we sacrifice as much as what we gain.</p><p>Of course, the big difference in this scenario is the pupils can't really "see" the map until they have experienced it. I was able to call up a map that someone else had created, but in learning mathematics the "map" exists inside everybody's head, I have my map, you have yours. Learners create their own maps when we take them on a journey through a mathematical idea, and whilst we can communicate something about what that journey looks like, it only becomes real once experienced - I can't simply transfer my "map" into my pupils' heads. I think this reinforces point 4 above about building in time for exploration in areas that pupils have already travelled, revisiting ideas not just to see if they can remember the exact same journey as before, but to give them chances to take shortcuts, amend the route, or explore the consequences of going off on a new path.</p><p>My final thought is that I wonder how much of this is specific to maths? It seems like a lot of it might apply to many subject areas but, not being overly familiar with many of their maps, I cannot say for sure.</p>Peter Mattockhttp://www.blogger.com/profile/10927650959808699047noreply@blogger.com0tag:blogger.com,1999:blog-2500447090923756998.post-66892406432097878592023-09-10T13:42:00.001-07:002023-09-12T10:09:51.336-07:00ResearchEd National conference 2023<p> As promised, here is a link to my session from the ResearchEd National conference 2023:</p><p><a href="https://shorturl.at/pFX12">https://shorturl.at/pFX12</a></p><p>My thanks to everyone who attended, I hope you found it useful!</p>Peter Mattockhttp://www.blogger.com/profile/10927650959808699047noreply@blogger.com0tag:blogger.com,1999:blog-2500447090923756998.post-46716768398176908702023-03-25T13:13:00.002-07:002023-03-25T13:13:46.478-07:00ATM/MA Leicester Session<p> Here are the slides from the ATM/MA session I hosted today on "Conceptual Maths"</p><p><a href="https://1drv.ms/p/s!AiVD5E48l4WsicEPoYhAdGXFBuhC0A?e=wMnAZy">Conceptual maths.pptx</a></p>Peter Mattockhttp://www.blogger.com/profile/10927650959808699047noreply@blogger.com0tag:blogger.com,1999:blog-2500447090923756998.post-75943760371137178872021-09-05T03:48:00.000-07:002021-09-05T03:48:38.193-07:00ResearchEd National Conference<p> Yesterday I had the great opportunity to present the ResearchEd National Conference at Harris Chobham Academy in Stratford, London. I would like to thank all those people who attended my talk. The link below will give access to the slides:</p><p><a href="https://1drv.ms/p/s!AiVD5E48l4WsibZ1ZmiVoGgR2AulPw?e=Dhxz4Q">https://1drv.ms/p/s!AiVD5E48l4WsibZ1ZmiVoGgR2AulPw?e=Dhxz4Q</a></p><p><br /></p>Peter Mattockhttp://www.blogger.com/profile/10927650959808699047noreply@blogger.com0tag:blogger.com,1999:blog-2500447090923756998.post-52664964204459995112020-10-01T11:34:00.006-07:002020-10-01T11:35:21.265-07:00The Decimal point and Place Value<p> My daily twitter browsing showed me the recurring argument about "moving the decimal point" in relation to multiplication or division by 10, 100 , 1000 etc:</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://twitter.com/DrPMaths/status/1310208078151811072?s=20" target="_blank"><img data-original-height="520" data-original-width="731" height="456" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTb2J7Dad2-SERlM5VAK5jk3Xbd3dlgehNnZ3KIco4ON0NygZPBvXo0sumlYfcDmnQKZ9mpUEIS9ZD2c5I38E2XHK2V65foq9FnXPSqSKyCzEaugcCWBkY0JM9Xd2laYwdzBSNedY5-tU/w640-h456/image.png" width="640" /></a></div><br />The thread is worth a read (you can get to it if you click the image). I read it, and some of the quote tweets around it, and it got me thinking about what I think are two possible misconceptions around the decimal point and place value that seem to exist in the minds of teachers of maths. I am sure some will disagree with one or both of these, and may think that these are misconceptions in my mind instead. But anyway, here goes...<p></p><p><u>Misconception 1: That the decimal point is a fixed immutable point between the ones and the tenths</u></p><p>There are a number of people saying in that thread that the decimal point cannot move, that it must stay between the ones and the tenths. This for me seems false. The job of the decimal point is to separate or mark the transition between whole values of our <b>unit</b>, and values that represent part of that unit. Of course, in most cases our unit of counting would be ones and the decimal point therefore marks the transition from ones to part of one. But that isn't always the case. Consider for example:</p><p style="text-align: center;"><span style="font-size: x-large;">2.6 million</span></p><p>In this, the value to the left of the decimal point does not represent two ones, it represents two millions. The unit we have chosen to count in is millions, and so the decimal point separates the whole millions from the parts of a million. This has obvious parallels to something most mathematicians will be familiar with converting between standard form and our "ordinary" decimal number system:</p><p style="text-align: center;"><span style="font-size: x-large;">320000 = 3.2 × <span style="line-height: 107%; text-align: left;">10</span><sup style="text-align: left;">5</sup></span></p><p class="MsoNormal"><sup><o:p></o:p></sup></p><p>In converting to standard form we are literally changing our counting unit from the ones to which column has the highest value in the number we are working with. This means that the decimal point does move, it moves to separate whole values of our new counting unit (in the above example <span style="font-size: 13.5pt; line-height: 107%;">10</span><sup>5</sup>) from parts of this counting unit. In converting from standard form we do the reverse; we change our counting unit from the largest valued column back to the ones column, and the decimal point moves concurrently. One could even make the argument that converting units of measure could be viewed in the same way:</p><p style="text-align: center;"><span style="font-size: x-large;">3.25 metres = 325 cm</span></p><p>Have we multiplied by 100 to go from left to right here? The physical distance hasn't changed? Would it make more sense to consider that the decimal point has moved due to our change of unit choice from metres to centimetres, and so what was separating whole metres from part metres, is now separating whole centimetres from part centimetres.</p><p><u>Misconception 2: That the decimal point moves when we multiply or divide by a power of 10</u></p><p>Despite what I have written above, and some compelling arguments within the thread, I still come down on the side that it is wrong to teach pupils that the decimal point moves when you multiply or divide by a power of 10. This is not just because of its tendency to be used a trick for teaching without understanding, but more because conceptually it actually doesn't fit with what is happening when we multiply or divide. If we accept that the decimal point moves when we decide to change our unit (perhaps a big if for some), then the decimal point cannot move when we multiply or divide by a power of 10. Consider:</p><p style="text-align: center;"><span style="font-size: x-large;">3.2 × 100 = 320</span></p><p>There is no change of counting unit in this situation. In all three numbers, the counting unit is ones, and the decimal point separates the ones for the parts of one. What has changed is the physical size of the numbers that each of the digits represents in the number 3.2. The 3 has become 100 times bigger to become 300, and the 0.2 has become 100 times bigger to become 20. This is synonymous with moving the digits up the place value columns, and definitely not the decimal point down - or even translating the column headings down. Although I can see the argument that says "we can consider 3.2 × 100 as having 3.2 hundreds, and what we are doing is converting that back to a number of ones" I can't make that fit in my own mind with the importance of making sure pupils recognise and appreciate the multiplicative relationships between the place value columns. Even if our learners are completely secure with this, I can't see why we would then use a unitising approach to multiplication to model multiplicative calculations with different powers of 10 - except maybe if we had reached the point where pupils were so secure in this that we were opening them up to another way of making sense of such calculations and perhaps attempting to highlight that moving the decimal point is akin to the equivalent multiplication or division.</p><p>In summary, the decimal point definitely can move, but probably shouldn't if we are teaching multiplication or division by powers of 10 unless we are taking a unitising approach to this sort of calculation.</p>Peter Mattockhttp://www.blogger.com/profile/10927650959808699047noreply@blogger.com0tag:blogger.com,1999:blog-2500447090923756998.post-4329718943067353162020-08-15T09:30:00.005-07:002020-08-15T09:31:31.196-07:00What is a valid mock?<p> So Ofqual have released (on a Saturday) the criteria for deciding what a "valid mock" is for the basis of appealing a pupil's A-Level, AS-Level or GCSE grades. If you haven't yet seen them, the criteria can be found here: <a href="https://www.gov.uk/government/news/appeals-based-on-mock-exams">https://www.gov.uk/government/news/appeals-based-on-mock-exams</a></p><p>One of the criteria in particular caught my eye:</p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiqnmndcwq8eBEUmmyeldR8z8Ef4ZOHr_hMvWRJi2WvzY_BngWrvviUXLy9DxFQ5_bWhBVrxGgpMwf-QOoltUmECYNr93CttdF-sCdbyr_qiv1kqK6clZKyd3Ez-_oSCNmXlS4BIM8fFJM/s1303/Criteria+7.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="135" data-original-width="1303" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiqnmndcwq8eBEUmmyeldR8z8Ef4ZOHr_hMvWRJi2WvzY_BngWrvviUXLy9DxFQ5_bWhBVrxGgpMwf-QOoltUmECYNr93CttdF-sCdbyr_qiv1kqK6clZKyd3Ez-_oSCNmXlS4BIM8fFJM/s640/Criteria+7.png" width="640" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: left;">I remember in 2015, when the new GCSE in Maths started, I made myself very familiar with the approach that exam boards take to set their boundaries. It is quite involved to say the least, using national data on prior attainment of the cohort, previous performances of other cohorts, all sorts of data. I doubt any individual school or trust could match those standard - I remember the laughable outcomes when PiXL first tried and the flack they got for the grade boundaries they came up with. My blog on our process at the time is still my most read blog: <a href="https://educatingmrmattock.blogspot.com/2016/11/new-gcse-grade-boundaries-my-thoughts.html">https://educatingmrmattock.blogspot.com/2016/11/new-gcse-grade-boundaries-my-thoughts.html</a></div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">Which of course presents a problem. For a mock exam to be graded in line with the exam board's examination standard, I can't see any alternative but to have used the grade boundaries provided by the board, on the same paper(s) provided by the board. Anything else simply doesn't (in reality) live up to examination standards. No exam board would arbitrarily reduce boundaries to reflect that pupils haven't completed a course, which is a common practice in schools. No exam board would simply use the average of a set of grade boundaries, or apply one years grade boundaries to a different set of papers. Any school or Trust who has done this can't sign the form to say their exam was graded in line with the examination standard provided by their exam board. Nor can those schools that use papers they have created themselves, or those that use practice papers that don't have grade boundaries provided.</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">In my own department we use a practice paper that comes from the exam board, but does not come with boundaries. We set initial boundaries for that years ago, before the first ever exams on the new GCSE and so before their were any past papers in existence. We sat the exam at a similar time to some other local schools, pooled our results together, and applied a similar process that exam boards were applying for their first set of new GCSE papers. We then compared the results that pupils eventually got with their mock exam results, and adjusted the boundaries for the following year. We used the same papers for mocks every year since, continuously refining the grade boundaries as we got more real results to compare to. This is about the most robust system any school could implement to grading, but even this falls short of examination standards. </div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">Of course, the head of centre only needs to sign a form saying "I confirm this mock exam meets the criteria". No one is going to check. No one is going to ask how they know the boundaries meet the criteria. Unless this is going to be used as a "get-out" clause to deny large numbers of appeals, then I doubt this line will end up meaning much. But it should, and that is the shame of it all.</div><p><br /></p>Peter Mattockhttp://www.blogger.com/profile/10927650959808699047noreply@blogger.com0tag:blogger.com,1999:blog-2500447090923756998.post-18403154089320667252020-06-10T03:38:00.001-07:002020-06-10T03:42:05.291-07:00Maths as an option?<div class="separator"><div style="margin-left: 1em; margin-right: 1em;"><br /></div></div>This tweet caused quite a discussion recently on Twitter.<div><img alt="" src="data:image/png;base64,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" /></div><div>My answer to this was quite to the point.</div><div><img alt="" 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" /></div><div>However, I was asked to elaborate as to why, and I thought it would make more sense to write it in a blog rather than as a series of tweets that might (would) turn into an overlong thread.</div><div>My reasons for opposing Hannah's proposition fall broadly into three camps:</div><div><br /></div><div>1) There is so much more to maths than what you can do with it (its functionality).</div><div>2) The central place that mathematical knowledge serves in our society and history.</div><div>3) The inherent biases that exist within education and the minds of maths teachers.</div><div><br /></div><div>Regular readers of my blog/listeners to my various presentations/interviews will know that I am a big and loud (in both senses) proponent of the view of maths as a collection of connected ideas, and that our job as maths teachers is to support pupils in reaching an understanding of these ideas and how they are connected. This doesn't necessarily mean a "guide at the side" approach to teaching - indeed a wise sage that knows exactly what things to say, questions to ask, examples and representations to show is often exactly what it needed to support in gaining wisdom. What this does mean is a need for teachers to really have a depth of knowledge about each mathematical idea, and its place in the larger concept.</div><div><br /></div><div>Let us take a couple of examples, in fact the ones mentioned in the thread, namely constructions and histograms. Both are touted as superfluous to requirements in a "modern" mathematical education. However, constructions are intricately and inexorably tied to wider knowledge and understanding of 2-D shapes and their properties. This is often not made explicit because, as Dani Quinn (@danicquinn on Twitter) pointed out, constructions is very often approached as a series of "do this, do that" steps with no effort made to tie it to the larger concept. Getting specific, consider trying to create the perpendicular bisector of a line segment. But rather than thinking about the steps required, think instead about which 2-D shapes have the property that at least one of the diagonals perpendicularly bisects another. The list you might have come up with is:</div><div><ol style="text-align: left;"><li>Square</li><li>Rhombus</li><li>Kite</li><li>Arrowhead (if you class that separately to a kite).</li></ol><div>Now think again about the standard image for a perpendicular bisector:</div></div><div style="text-align: center;"><img alt="Ask a mathematician: “Where should we live?” | The Aperiodical" height="320" src="https://external-content.duckduckgo.com/iu/?u=http%3A%2F%2Faperiodical.com%2Fwp-content%2Fuploads%2F2012%2F06%2FPerpendicular-Bisector.png&f=1&nofb=1" style="text-align: left;" width="179" /></div><div style="text-align: left;">Can you see which shape we have created in order to create the perpendicular bisector? It is of course the rhombus. Do we make it clear to pupils that this is the case. Or that alternatives exist? Our list suggested 4 different shapes we might draw that could lead to the same result. Can you see how we would create the others using similar techniques? The images would look something like this:</div><div style="text-align: center;"><img height="318" 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" width="640" /></div><div style="text-align: left;">Except....there is something strange about that last one....it can't be done! Not precisely anyway; you might luck out and get both sets of two arcs to cross on a line that is at 45<sup>o</sup> to the line connecting the dots, but no way to make sure. So although there are four shapes that could lead to that perpendicular bisector, only three of them are constructable. Can you see why? What is different about the definition of a square compared to the others? Yes, it is because a square is defined both in terms of its sides <b>and</b> angles, whereas rhombi, and kites are defined just in terms of their sides. And although an arrowhead must have a reflex angle, it isn't particular about the size of that reflex angle, whereas the angles in a square must be 90<sup>o</sup>.</div><div style="text-align: left;"><br /></div><div style="text-align: left;">When discussions like this are taking place around these mathematical ideas, then constructions becomes a rich, deep vein in which to explore all manner of aspects of properties of 2-d shapes. Similar discussions can be had around angle bisection, and construction of other shapes. A nice link to make is between the perpendicular and angle bisectors. I will leave these three images as a prompt and say no more...</div><div style="text-align: left;"><img height="336" 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" width="640" /></div><div style="text-align: left;"><br /></div><div style="text-align: left;">So what about histograms then? No one uses them in real life! No one creates unequal groups! Whilst this may be true, my thoughts are simply:</div><div style="text-align: left;"><ol style="text-align: left;"><li>They should!</li><li>They are still rich links between these and other areas of maths and the social sciences to exploit.</li></ol><div>There are plenty of situations where classes naturally arise that aren't equal in size. Many companies wage structures have jobs in salary bands that aren't equal in width. Boxing weight classes aren't equal in width. Months of the year aren't all equally sized. Any situation where frequency is being collected and analysed in these sorts of situations should not be represented in a simple frequency diagram, and kids need to know why. What is it about frequency diagrams that doesn't work if classes are unequal? What can we do if we are in a situation where it makes sense for classes to be unequal, without arbitrarily forcing them to be equal. Take for example this frequency table of salary bands (made up!) for a company:</div><div style="text-align: center;"><img height="297" 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" width="320" /> </div><div style="text-align: left;">If you were to draw this as a standard frequency diagram, it might look something like this:</div><div style="text-align: left;"><img height="229" src="data:image/png;base64,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" width="640" /></div></div><div style="text-align: left;"><br /></div><div style="text-align: left;">There are several problems with this. The greatest problem is that the 30 to 40 group appears far larger than the 22-25 group, where in fact it only represents one more person. This is of course because the area of the 30-40 bar is far larger than the area of the 22-25 bar, and this is almost entirely down to its width. A similar problem exists in comparing the 18-20 and 20-22 bar with the 22-25 bar. It appears that both of the first two bars would fit almost perfectly inside the third, where in fact there are 4 more people in the first two bars combined compared to the third - a quarter again of the frequency it is supposed to represent. All of these problems arise because we are immediately drawn to the <b>area</b> of the bar as representative of its size rather than its height, particular when bars are different widths.</div><div style="text-align: left;"><br /></div><div style="text-align: left;">If we now see the same data plotted using frequency density:</div><div style="text-align: left;"><img height="227" src="data:image/png;base64,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" width="640" /></div><div style="text-align: left;"><br /></div><div style="text-align: left;">What we have now is a fundamentally different distribution, with the earlier wages much more pronounced. Looking at the first diagram one might thing that there is an abundance of people being paid in the range of 25-40k. No one looking at the second diagram would make the same claim.</div><div style="text-align: left;"><br /></div><div style="text-align: left;">This of course comes back to the idea of <b>unit measure</b>. Unit measure is a fundamental concept in geometry and measures. What histograms allow for is a reexamination of unit measure in a new context, and the skilled teacher can use this as a vehicle to re-highlight this concept and show its importance even outside the realms of measuring quantities. The links to the idea of density as being per unit are also important - I always make links to population density and materials density when teaching histograms, and what they have in common around the idea of defining a unit to allow proper comparison. Histograms are also a great place to look at units other than "1"; in the example above the unit is per £1000. Properly taught, histograms allow us to impress upon students that a unit can be whatever we want it to be, as long as it is the same for all applicable circumstances. One of my fondest memories of my teaching pre-lockdown was with my Year 7 class, and defining the unit of a "Mattock" as my height, and then having other pupils estimate how many "Mattocks" tall they were (of course they are all shorter than me so it was a nice way of looking at estimating decimals as well). The joy and understanding that came from that activity were palpable, and if I am teaching those kids in Year 10/11 I will reference it back again when we come to histograms.</div><div style="text-align: left;"><br /></div><div style="text-align: left;">Every aspect of the curriculum up to 16 (maybe even 18!) has these connections between and within concepts. Part of the job of a teacher (in my opinion) is to understand these links and use them to create that connected learning experience for every pupil. No pupil should be denied the opportunity to see where and how these ideas resurface and develop - this is at the heart of what it means to teach maths.</div><div style="text-align: left;"><br /></div><div style="text-align: left;">This leads me nicely onto my second point - to me maths is universal (in two senses). Mathematics is at the very heart of our society on several levels. Advances in society are inherently tied to advances in mathematics. Our ever increasing technological development is down to advances in mathematics. Mathematics is the language humanity uses to describe the physical processes of our universe. As we develop mathematically, we develop a better language to describe these processes, and this language is what allows us to manipulate these processes to our own betterment. The recent advances in areas such as quantum computing are due in no small part to an increasing sophistication by which some people are able to use mathematics to explore what is possible.</div><div style="text-align: left;"><br /></div><div style="text-align: left;">Not only in technology does maths wield its power. The more recent advent and development of statistics has given us a window into human life that simply wasn't possible a few hundred years ago (along with our technology allowing us to connect and share in ways unthought of until recently). We know more about human life as it is now than we ever have done at any point in history, and mathematics goes to the very core of what allows us these insights. Developments in all areas of mathematics are what allows society to develop, and although mathematics has developed to such a point that fewer and fewer people are now capable of advancing the field further, this doesn't mean that we should only be sharing that story with those that might be capable of taking up that mantle. Mathematics has at different points played a central role in our history, our culture and our development as a species. I hope very much that I am not alive in the generation that decides that this birthright should not be passed on to every human being possible, even if relatively few will make use of it in any meaningful sense.</div><div style="text-align: left;"><br /></div><div style="text-align: left;">Mathematics is also universal in a different way, in that it is something that literally every human with a functioning mind can advance at. Some people are born without the use of arms and legs that might proclude them from many opportunities that others take for granted. Some are born with medical conditions so severe that they will never walk, never run, never build, never take apart or dissect. Mathematics, as primarily a discipline of the mind, is open to all. Every human with the capacity to think can advance their own understanding of and ability within mathematics, and as such I strongly believe that mathematics has to stay a subject open to all.</div><div style="text-align: left;"><br /></div><div style="text-align: left;">This leads me to my third point, the inherent biases of our education system and of maths teachers. Let us take as fact that mathematical attainment correlates well with future earnings (for those that can't take that as fact, this <a href="https://www.bbc.co.uk/news/education-21714640" target="_blank">article</a> and this <a href="https://www.ppic.org/content/pubs/report/R_701JBR.pdf" target="_blank">report</a> should be enough to get started with). Let us also imagine that maths, beyond basic functional numeracy, was optional for pupil, post-14 say. Who do we think would be opting for it? And more importantly, who do we think would be "discouraged" from opting for it because schools/teachers are worried about how their success rates in maths might look? I would suggest that those from disadvantaged backgrounds, those from certain BAME backgrounds, those with SEN and other learning difficulties, they would make up a large proportion of those pupils that didn't "opt" to continue their mathematical education. They would be the ones where teachers are having conversations like "maybe functional numeracy would be better for them to support their future aspirations", where of course one of the big things education should be trying to achieve is to broaden kids horizons so that they can continue to re-examine those aspirations in light of what they learn is possible. I can easily imagine the situation where a white middle class family is pushing their child through a mathematical education, supporting with tutors and being ever more demanding of their child's school, where huge swathes of disadvantaged pupils who might actually do well from a mathematical education don't continue it. We all know those pupils that despite everything have come good in maths, and we also know those pupils who haven't. But to deny that opportunity from anyone goes against everything I stand for as a teacher and a human being. Maths as an option is a pretty sure fire way to ensure that the gap widens between the haves and have nots, between the mostly white middle class and those of BAME backgrounds. In a time where, as white people, our relationship with and treatment of other races is under increased scrutiny (and rightly so), the changing of maths to an option would be a huge backwards step in making sure that everyone has the best possible opportunities throughout the rest of their lives. Of course, pupils from disadvantaged and some BAME backgrounds already typically underperform compared to their white middle class peers, and we really do need to look hard at that and take every step to deal with it quickly, but I can't see that part of the solution would be to create a system where large numbers of these pupils can simply be pushed out of it altogether.</div><div style="text-align: left;"><br /></div><div style="text-align: left;">The final thing I would say on this matter is this: as a sector we really need to look at what we class as "success" in a mathematical education. If we are talking about anything up to 30% of pupils who reach the age of 14 and are still functionally innumerate, enough that we need a whole separate qualification for them because GCSE isn't suitable, then that is a real problem. I know at this point people will start saying "but the exam system is set up like that" and I understand that (although there is flexibility in it if large numbers of pupils start performing significantly better), but regardless of the grade, I am talking about what these kids actually know and understand. If we are saying that 30% of pupils cant reach half way through a Foundation GCSE paper, after 11 years of maths eduction (bearing in mind that much of the same content also appears on a SATs paper that Year 6s are given) and that it is wrong to even try to support them through that, then I think the problem is not the qualification so much as the previous 11 years. The fact that only 1 in 5 pupils can get over half way through a higher paper is a damning indictment of our education system, and offering an "easier" qualification will not solve that problem. I think our attention needs to be directed much more to making sure that no pupil reaches 14 without already being functionally numerate rather than what we might do for the final two years when they do. On this I have no answers, as my results as a teacher and head of department are no better or worse than many others out there, but as a head of department that is what I want to spend my time thinking about, not which kids I should allow to continue studying maths, and which are going to be denied entry to all of the opportunities that studying maths allows.</div><p class="MsoNormal"><o:p></o:p></p>Peter Mattockhttp://www.blogger.com/profile/10927650959808699047noreply@blogger.com0tag:blogger.com,1999:blog-2500447090923756998.post-35208022534246296952020-05-31T13:13:00.000-07:002020-05-31T13:13:18.997-07:00Conceptualising Maths Pre-Session Blog<p class="MsoNormal">The most common complaint levied against learning
mathematics is that it is parcelled up into discrete methods that have to be
memorised and wheeled out when required. What is worse, that also means one has
to memorise when every method is required! <o:p></o:p></p>
<p class="MsoNormal">Instead, what if we taught what unifies these methods <b>and</b>
when it is required? I am talking, of course, about the mathematical concept
from which the method arises. I have long advocated that maths teachers should
switch their focus from “teaching to do” to “teaching about”. If we teach about
mathematical ideas, the structures that underpin them, how these structures
interact with each other and how the structure allows us to make sense of <b>how</b>
associated procedures do what they do, then learners of mathematics have the
ability to recognise <b>when</b> certain procedures are useful as well as how
to carry them out. What is more, they are in a position to adapt and improvise
for new problems and to select methods appropriate to the situation.<o:p></o:p></p>
<p class="MsoNormal"><br />So, what does this
look like. Let us take the concept of “perpendicular” as an example. Consider
this line segment. </p><p class="MsoNormal" style="text-align: center;"><img height="293" src="data:image/png;base64,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" width="400" /></p><p class="MsoNormal">What does a line segment that is perpendicular look like? We
might choose to have pupils use a protractor to begin with to draw a
perpendicular from either end (or not) but we would want pupils to recognise
and understand that a perpendicular would have to go two squares right and
three squares down (or conversely two squares left and 3 squares). But more
importantly we would want pupils to see that this is because the distances that
are horizontal become vertical for a perpendicular, and vice versa.
Understanding this structure allows pupils much more flexibility to work with
perpendiculars. For example, we should now confidently be able to ask pupils
about which of these are squares:<o:p></o:p></p><p class="MsoNormal" style="text-align: center;"><img alt="" src="data:image/png;base64,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" /></p>
<p class="MsoNormal">Of course, this understanding will eventually be built upon
to include perpendicular gradients and perpendicular vectors. But importantly,
those are both clearly part of the same structure as this idea. Once 2-D
vectors are introduced using the <img src="data:image/png;base64,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" /> notation, it is exactly the same thought
process that allows us to see that a perpendicular vector is <img alt="" src="data:image/png;base64,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" />, and that another is <img alt="" src="data:image/png;base64,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" />. When we understand
gradient as the vertical change for a unit horizontal change, we can see that
that the perpendicular gradient will become a unit vertical change for a
horizontal change that is the negative of the previous vertical change (or,
more succinctly, the perpendicular to a gradient of <i>m</i> is <img alt="" src="data:image/png;base64,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" />). There is no new
mathematical structure in the concept of “perpendicular”; the new mathematics
is simply how this concept ‘fits’ when we combine it with the concept of
“vector” or the concept of “gradient”.</p><!--[if gte msEquation 12]><m:oMath><m:d><m:dPr><span
style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><m:eqArr><m:eqArrPr><span
style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
normal'><m:ctrlPr></m:ctrlPr></span></m:eqArrPr><m:e><i style='mso-bidi-font-style:
normal'><span style='font-size:11.0pt;line-height:107%;font-family:"Cambria Math",serif;
mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin;
mso-bidi-font-family:"Times New Roman";mso-bidi-theme-font:minor-bidi;
mso-ansi-language:EN-GB;mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><m:r>x</m:r></span></i></m:e><m:e><i
style='mso-bidi-font-style:normal'><span style='font-size:11.0pt;
line-height:107%;font-family:"Cambria Math",serif;mso-fareast-font-family:
Calibri;mso-fareast-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman";
mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-GB;mso-fareast-language:
EN-US;mso-bidi-language:AR-SA'><m:r>y</m:r></span></i></m:e></m:eqArr></m:e></m:d></m:oMath><![endif]--><!--[if !msEquation]-->
<p class="MsoNormal"><span style="mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">If I could give one piece of advice to
any maths teachers (new or experienced) it would be to think about what the
mathematical concept is that they want their pupils to learn about, think about
all the different concepts they might have to use it with, and then teach it in
a way that means it is recognisably the same concept every time pupils
encounter it.</span><o:p></o:p></p><br />Peter Mattockhttp://www.blogger.com/profile/10927650959808699047noreply@blogger.com0tag:blogger.com,1999:blog-2500447090923756998.post-46422232716395421702020-05-30T12:01:00.001-07:002020-05-30T12:01:06.714-07:00The rise of the "method"<div class="separator"><div style="margin-left: 1em; margin-right: 1em;">As I write, I have been engaged in a discussion on twitter around "methods" for decomposing a number into the product of its prime factors. The thread is interesting enough and can be found from this <a href="https://twitter.com/Mister_HF/status/1266624605919293441?s=20" target="_blank">tweet</a>.<img height="510" src="data:image/png;base64,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" width="640" /></div><div style="margin-left: 1em; margin-right: 1em;"><br /></div><div style="margin-left: 1em; margin-right: 1em;">Now I have no problem with discussions around methods. Each one is an interesting mathematical process, and there are often pros and cons between one "method" and another for doing whatever it is you want to do. I love <a href="https://twitter.com/mathsjem">@mathsjem</a>'s book that examines different methods for doing different things.</div><div style="margin-left: 1em; margin-right: 1em;"><br /></div><div style="margin-left: 1em; margin-right: 1em;">However, I feel there is a real danger arising in maths teaching whereby teachers think that in teaching a collection of methods, they are teaching mathematics. Even those that purport to teach "mutliple methods" are, I feel, missing the point. The point being that the method is not the mathematics. No matter how much conceptual understanding runs alongside it, the method itself cannot be the mathematics. And this is because the mathematics is that structure, that idea, from which the method arises.</div><div style="margin-left: 1em; margin-right: 1em;"><br /></div><div style="margin-left: 1em; margin-right: 1em;">Take, for example, the above mentioned "prime factorisation". There are two mathematical ideas at play in this - namely "prime" and "factorisation". What are these ideas? What is the structure that underpins them. Let us deal with the second one first, because that is required to understand the nature of "prime". What is factorisation? What do I understand by this idea?</div><div style="margin-left: 1em; margin-right: 1em;"><br /></div><div style="margin-left: 1em; margin-right: 1em;">Simply put, factorisation is the manipulation of an expression to write it as the product of two or more factors. Of course, this leads us further to ask what a factor is, and from there further down. There are lots of representations and manipulatives that can support in developing these ideas that are explored heavily in <a href="https://www.crownhouse.co.uk/publications/visible-maths">Visible Maths</a>, so I am not going to re-hash them here. The key is, that this is the underlying structure, and it is true no matter when the word "factorisation" is used:</div><div style="margin-left: 1em; margin-right: 1em;"><br /></div><div style="margin-left: 1em; margin-right: 1em;">3 × 6 is a factorisation of 18.</div><div style="margin-left: 1em; margin-right: 1em;">2 × 3 × 3 is a factorisation of 18.</div><div style="margin-left: 1em; margin-right: 1em;">3<i>x</i> × 6 is a factorisation of 18<i>x</i>.</div><div style="margin-left: 1em; margin-right: 1em;">6(3<i>x</i> + 5) is a factorisation of 18<i>x</i> + 30.</div><div style="margin-left: 1em; margin-right: 1em;"><br /></div><div style="margin-left: 1em; margin-right: 1em;">It is this key understanding of what factorisation is that pupils need to understand, so that they can apply it no matter what the context. If I understand this, then any "method" I use for factorisation has to be taken in the context that this is what it is accomplishing - the decomposition into the product of two factors. Personally I would choose methods that appear the same/similar across as many contexts as possible, which is why I have moved away from things like "the factor tree" as it is typically only used to accomplish prime factor decomposition.</div><div style="margin-left: 1em; margin-right: 1em;"><br /></div><div style="margin-left: 1em; margin-right: 1em;">Once we have a clear idea of what it means to "factorise", we are in a position to understand primes as those numbers greater than 1 that cannot be factorised using numbers greater than 1 (or however you want to define primes that results in the same outcome). Again, there are lots of ways of exploring this idea with pupils - the Sieve of Eratosthenes being one of my favourites and the idea of factor towers being another:</div><div style="margin-left: 1em; margin-right: 1em;"><img alt="Factor Towers | NZ Maths" height="200" src="https://external-content.duckduckgo.com/iu/?u=https%3A%2F%2Fnzmaths.co.nz%2Fsites%2Fdefault%2Ffiles%2Fimages%2FNL6P7C.GIF&f=1&nofb=1" width="640" /></div><div style="margin-left: 1em; margin-right: 1em;">With a thorough understanding of these two concepts, then the idea of "prime factorisation" becomes self-evident (or if it doesn't, easily linked to the two concepts already covered). A prime factorisation must be a factorisation that only involves prime numbers. Nothing else makes sense. so 3 × 6 is not a prime factorisation of 18 as 6 is not prime, but 2 × 3 × 3 is. At this point, the "method" for actually carrying out the decomposition is almost immaterial - as long as it is clear how it does the job it is is supposed to be doing. On this I stand firmly with <a href="https://twitter.com/jemmaths">@jemmaths</a>, that the method should not be designed to insulate from the mathematics, but rather to highlight it. This, again is where I feel factor trees fall down - they not only obscure the links between prime factorisation and other factorisations, but they also obscure that it is factorisation that is happening at all!</div><div style="margin-left: 1em; margin-right: 1em;"><br /></div><div style="margin-left: 1em; margin-right: 1em;">For another example, take the simple method of "column addition". Again two ideas are a play here, namely the idea of addition, and the idea of place value. If, in isolation from each other, I am helped to understand that a way of making sense of addition is the collection of like objects, and that place value uses numerals in different columns to represent the size of different parts of a number (as well as the relationships between these columns), then addition in columns for larger numbers follows naturally. Not only does it follow naturally, but it is adaptable. I can see why this calculation can be done in columns in any order:</div><div style="margin-left: 1em; margin-right: 1em;"><br /></div><div style="margin-left: 1em; margin-right: 1em; text-align: center;"><img height="279" src="data:image/png;base64,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" width="320" /> </div><div style="margin-left: 1em; margin-right: 1em; text-align: center;"><br /></div><div style="margin-left: 1em; margin-right: 1em; text-align: left;">whereas it might be beneficial to do this one from right to left:</div><div style="margin-left: 1em; margin-right: 1em; text-align: center;"><img height="313" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALAAAACsCAYAAADboya+AAAOOUlEQVR4Ae2dDZKrIBCEPZcH8jyexst4GF5h4gZiDwx/Bp69VVtRgzr0fAwDapwM/6jAwApMA9tO06mAIcCEYGgFCPDQ7qPxBJgMDK0AAR7afTSeAJOBoRUgwEO7j8YTYDIwtAIEeGj30XgCTAaGVoAAD+0+Gk+AycDQChDgod1H4wkwGRhaAQI8tPtoPAEmA0MrQICHdh+NJ8BkYGgFCPDQ7qPxBJgMDK0AAR7afTSeAFsG9t1s62qWZTbzPJlp+vqf7fbFrOtm9qbM7GbbTjtmbMdyhx1NK1n14A8G2EK7mPkbVsW6hXmrRvLbDtRwIrbMy1rRDi1Xu1ltQwe2zfNslrWaMCqDHgnwngnud2Sei5yV34B8O+6FZlu+eqcLyIvZVOjVKfQwgHezZkQ6HxjfgXkQ92JHIkTbck1rCHCiiCXFow6YzbwsZjn/Z5CHXhw2mSU15ETtsI3E5t2v/1ADcr9LtiNJS22jYwROkjWl8L4iIG0XHB6c7XZgFYrc85o0uMN2TOaV0wo5pB1oLsh+t0doB49ks9uAXsvtbEC+flQK4TnBDjiSRmLhCJQS/Tw7pngD8hy3r3AAdYKUl9J4Z7iuwHPa2RDUoAjwVcBaW46uOxEY79ybWUAKYeFJAucNxLyEI793ancllIIk9gbuYaVlNHCz9fUb4tkTEGBJxy62I2ce0a8BOHKFQ71BZYBQY3nXlQDLHur3G+RQG5VvBdgYI9kxzaZods9THvU4n+MTYE+sQVZgPmi7z8qRLyaHaEfGrIhwLgiok+zD72/W4VGDOMFPiZtRVPpBBDaCHVMlgGED8RspAU5Ep4vi0LE9Afzp4vP1wjm2E3yPQxPgfIV/t6eUe357t7WFUkOqkQOjOoIcnwC3dnKD40uzEHfza0SA/W4+XQKUmuCoToDT1f3tHs2gSa8Whqc8lUENVJrjxjaUNqA0LTiIU+uF88JjDvj28Gtn0c4LB/6nBJuqmrCBykASYJWqPRSy9yH4oJyXbm+fPrNyQNCsfbir1ymIG2iobRJgnbI/LRW+kacEmPxqYXDK0gd4zBC9RzvivRD5Xqyw575vZtuu/+u6mCV2K2XVpzISKiNG35L5X/3AzbUUQs8LGa5EDZcDIHzSA5A2JN/FVrcOYioDprm0Z0bH1OTSBFircItyaK5TuNPsBNre7L5umXeQ1aiDaHNBKoOOqWwMBLiGU3OPgRwXAfgE+fi0Tykn3U+ca+i5H+rmXz2EJlqeR/E/0wdu7v4E2FXj9uUt/JSFFmZltCqrHgbt1ZDSngZx7YAARgZu0f2ZA7sS/XB5340d5NkBHXqE3IvG1mnCk0A1agBBOxqYPEcbPS8cA6SlItiuApuiRl8L8ELGVRO4JTydZrvyRo4LpDoJwfJSp9yBm3sgAuyqMcRy6ILGZKYSolD9A/Dm573CzfAZqRABRk7rflsgHy26EvZVcdjFvwdtRQ0F259zSAL85bNhVkNw1XieJ3D84igPo/r8+S2M8zcxNJ/wpwa+flvjfZwasiA+mAMjVRTbUA55DOxyQpl7vl2eLqvy3B0EGFyw0c7CaMtlpCiuLNIyAZaUiWzH3WfZ/Qgm8JhQFXjF+xduALjRIJcAR0AVv5YiWXakwblp6VzvxX7Jbm0kzS7XZpaGAF88rNwggZAF8E3w2qqFUpRsOOMR3P6IS4s/Apypar0UIgRvm6iVWeXLbliDe20mwBe3aDbI0KXOz4qDwUY5o6Z22jIEWKtUb+UC01wpPaX8a5NtL03XkpMA11JScZyX2Km/SIkOLEfflMvJ2Pk2l0y7HwFZeNc2XAemEE3097rq7FshQ/Am/EKlNAAcCF7rJALcBFV8UA/gv9G2vWqkeVGK4n0W6tmHwIUK+zOt719lL/5MyWWwZNGtBDgqUb0CWGx/+ud4y453CVV47dZfAzj3T+g2A/mzf4vmeezcz/apCNY0QYsK7n3OLITYbecC8t4v9eHOVnZcGhUBrtA++jpE/J7eNJizfmGdEbgqFM+JwI5spSDr8mbnhN7i60WBddMF0PDUOblnXNoKaIxWm4YPp1zseyTArgr79npsyP4OBHzN7Pt1V4sd7LV8bsg1istqBR4PsFopFuxSAQLcpVtolFYBAqxViuW6VIAAd+kWGqVVgABrlWK5LhUgwF26hUZpFSDAWqVYrksFCHCXbqFRWgUIsFYplutSAQLcpVtolFYBAqxViuW6VIAAd+kWGqVVgABrlWK5LhUgwF26hUZpFSDAWqVYrksFCHCXbqFRWgUIsFYplutSAQLcpVtolFYBAqxViuW6VIAAd+kWGqVVgABrlWK5LhUgwF26hUZpFSDAWqVYrksFCHCXbqFRWgUIsFYplutSAQLcpVtolFYBAqxViuW6VIAAd+kWGqVVgABrlWK5LhUgwF26hUZpFSDAWqVYrksFCHCXbqFRWgUIsFYplutSAQLcpVtolFYBAqxViuW6VIAAd+kWGqVVgABrlWK5LhUgwF26hUZpFSDAWqWeXG7fzLYuRnoV2fFe52U16w9eQ0aAk8B8vaRwvrzW9fWS7mVNfMXfba+dncycapt9G/22CO/OAy9W/NNkNsu63fayQwKcADB+473rzLQXXceP5x67cDnlzZ37Zpa59HyLuSMgE2AtwKpomQLwbtZSSP6ingI2LcDg9bH5r8VN0UPrCL8cAfb1ENa0sKU5rLsIHIV3NvaVu+u2mc3+r6tZltkEAdc2HEH52GYCHFPI5oJrxEl/kTANYGOBOd7RbN/TXOtfiMbLFqlpqJHOkQHabraARjn5d8TYv68J8J8UwgKMSotZocMSARZOWbJZamwxfqX9pjmhTmKaNZuMMaRKBgIckQl18zaiYIcnODty3ryvN7P89QZOJI5248J+Uzp4WJe8WRCNBgQ4pBKKKG8YsKN+CzC2SQEPquek2A9qJzWGNtq0B3i3+dFilsX+r2bbE+dKoUh3bESO+EQkDEsbJ+lqK+WwcZtQLzNlRN/TTqzNZGJpzLl/ymdzgK/ifCBIMfTustAJjgfg91Mclmb1yI6iqKFOZoqmHYGawHFDbkQPnMcYQ4CRPtABPpx9ASxFX0WwgHUtha1Bo0B+IsBIFQyDE3yPnboCWIBw+jYaVnc18NJ44bTBtee1g0o/CCBzUrcxAn8rhrpi0J32BDCGRRF9bd1RfafyfBXro7Tp2yeBdQLsiYO6Piw6dlD9COOZh1ak6AsaHdr9XoDLG8Z3HQiwowiKZNJVpF4AxnYkgCJEYKnejlzhReG4mqwmfGD/WwJ86gEjmRxRMThy+fM0dT9Rj5GYa8J6T0aVP4cqIwBc3DC+zkmAD0F0AzdXux4AxjakziAIjUCbgriiuMtCwyDArkiVliEIkb4O7tNglC1XUQAv2QbceEsuZBw2E2DZdXW/QSDggZt73p8DLHTROV0/yv2PWyQjjdjV47JMgC+SNNmAnKfp5n4LcOWoKTWGYzot/dL/vq3iEx0abVMc/ewcGDlOmfv9FGBkt70LLTtiSg3idUfbvOiecQuBe9703gHAm1mPG3POG3TCnzN4bGZO2H+N3Yed0ly9sthpWgZ+CTDqNSwgWts9Gc4Vocs/wbOf87wcD2weT2McT2XYJzLSHvz8OcDYcc69p+h+1KJtbaamYD0SCID7Jw+gTnoSPiXQlD1H6Ey4TnV9+3OApdbvttS6yw0AhhDEB26u87GzG9jqnvS48ouBSmh7X0f0V49H6YsCzjvtsI9IgePUsvO0OjkH/h8ARnVIjQw/ARg2PAtM5Yaz2zRR+xyg26Bmc+TLdtwn2PpzgKVr53WjriNK7RqjAVBG9/sLgPE5Uy9cnLFL82kfRng9eYzGMnau2D6MCh9UgACn9XIaC5MjsOagbplrtKtfCfd84eWygZt7bAxT5UjontCg+Wrb0H+pp2egv4ICRe2e4nH3A0NRbQQJz6TA78HsyhGRwLEKb609wMANpmTqzOet9hq0N6Oni9n1rAgMAXbSFTDoqJIaFTsO9xzdRl9psFk7HXxaBIZRoRW03nELUwup4RU3jFh8y/0epzsN+H3YM3ESCB5sLSJyCcBS9C28cJHLpmY/qHObXP1ZKYT91cXmsF4bgJ1ayv6Do/nCp4azjdHteB24t7P3WQDr9FeVwulISaTFp4UwZP/oCD5H1a1CgytpwyH7CHBIncB3twAswFD9wkWgnqlf4QZXv2GfdhHgU4nEzzsAxjAMNnXWuLcgwIngnsXbAyzl620GQ2e9cj/tPRRwyrHxTAkBzvRYa4Dx8VtG3/Qb11/S7WYL3DfRKvc93UaATyUSPzFgtXI9Kfq2mjr7nM/e82vfNhTHeX+9BCYwq5N6g1SiC47izQHe18W7rW5eVoU4OVW5d5+mAN/dHYuDxfNmHfdSu912nSr8Th/ugNd6vDnA92J139naAfyDCxciwHFQv8G163fBS4ALeG8GsBR9G9zJ9an+J4VAQKq32dcRxHOPz2krLDEC54oIolaV9GhDvxY5lz3vpqnjLj9JHAX4nTdrTlO7DAGurejwx9vNZh+LPx7WxI8FvV4tawd7uqeVW0pCgFuqy2M3V4AAN5eYJ2ipAAFuqS6P3VwBAtxcYp6gpQIEuKW6PHZzBQhwc4l5gpYKEOCW6vLYzRV4DMDRyfjATSncN++Sska3UsIJMMHF9/HepAsBViqgiQYs0y7SStoq3ScWYwS+KdJIDnz6dpFM5RePAVipB4sNpgABHsxhNNdXgAD7enBtMAUI8GAOo7m+AgTY14NrgylAgAdzGM31FSDAvh5cG0wBAjyYw2iurwAB9vXg2mAKEODBHEZzfQUIsK8H1wZTgAAP5jCa6ytAgH09uDaYAv8ABL3EMDlSuicAAAAASUVORK5CYII=" width="320" /></div><div style="margin-left: 1em; margin-right: 1em; text-align: left;">but that if I do complete it right to left, I can see what has gone on:</div><div style="margin-left: 1em; margin-right: 1em; text-align: center;"><img alt="" src="data:image/png;base64,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" /></div><div style="margin-left: 1em; margin-right: 1em; text-align: left;">and also why I might not use column addition at all:</div><div style="margin-left: 1em; margin-right: 1em; text-align: center;"><img height="313" src="data:image/png;base64,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" width="320" /></div><div style="margin-left: 1em; margin-right: 1em; text-align: left;">If you are teaching maths, I implore you to actually teach maths. Teach kids about what is happening when you add, or factorise. Teach them what it means to be prime, or how place value works. Then teach them one or more methods that arise from these understandings.</div></div>Peter Mattockhttp://www.blogger.com/profile/10927650959808699047noreply@blogger.com0tag:blogger.com,1999:blog-2500447090923756998.post-39530988313571293262020-01-31T13:49:00.002-08:002020-01-31T13:49:46.586-08:00Session for NW3 Maths Hub in Liverpool<div dir="ltr" style="text-align: left;" trbidi="on">
On Thursday 30th January I had the privilege of leading a session for the NW3 Maths hub around making sense of maths concepts. There was some very positive feedback following the event both through the feedback forms and from Twitter.<br />
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The link to download the presentation from the evening is <a href="https://1drv.ms/p/s!AiVD5E48l4WsiOAlAKhnr5QthVm70w?e=DSqilh" target="_blank">here</a>.</div>
Peter Mattockhttp://www.blogger.com/profile/10927650959808699047noreply@blogger.com0tag:blogger.com,1999:blog-2500447090923756998.post-57612303337698867472019-10-30T15:18:00.001-07:002020-01-31T13:49:46.591-08:00My #VisibleMaths tour!<div dir="ltr" style="text-align: left;" trbidi="on">
Over the Leicestershire half term I went on quite a tour around Britain, talking about some of the ideas from my book #VisibleMaths. Starting in Peterborough on the first Saturday for the always fantastic Complete Mathematics Conference (#mathsconf), I was speaking about threading an idea through the curriculum in a coherent manner - in this case the idea of factorisation.<br />
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From there I had a couple of days at home before travelling up to North Yorkshire on Tuesday ready for working with teachers from the Esk Valley Alliance. We had a good time looking at addition, subtraction and division using representations. I particularly enjoyed this trip because my fiancee Rowan came with me and we had a lovely night away and a bit of time in York together.<br />
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A day off on Thursday was then the lead in to my really busy time. A short hop across to Birmingham on Friday lunch time for a session with maths teachers from Niksham High School, which was followed by jumping straight on a train to get down to Farnham ready for the excellent ResearchEd Surrey. Many people have commented that this ResearchEd was one of the best local versions for planning and organisation, and I must say I agree! I did a morning session there focusing on the idea of addition and how, with just two ways of making sense of what it means to add, all additions from Y1 to Y12 work in the same way (which was also mentioned in my latest <a href="https://www.tes.com/news/why-we-should-teach-why-how-maths" target="_blank">TES blog</a>). The session went down very well, and it was great to then spend the day listening to others talking about education.<br />
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Having arrived back in Leicestershire at 11pm on Saturday night, one week after my tour of England started, I then had the thrilling experience of my first ever trip to Scotland on Sunday and Monday. I must admit the sights walking out of Edinburgh Waverley station were simply breathtaking - I am not generally one to take photos of my surroundings, but even I had to capture some of those amazing visages.<br />
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The tour finished with my biggest ever audience - a little over 200 Scottish teachers of maths as part of the South East Improvement Collaborative joint INSET day. Having looked at the importance of making sense in different ways (using one of my favourite games!) we looked at making sense of addition and subtraction, and useful models for both of these operations.<br />
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A lot of people have suggested they would find a copy of the presentations helpful, so here they are:<br />
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<a href="https://1drv.ms/p/s!AiVD5E48l4WsiMg61b5Dvp7fa9eeVA?e=1GehRW" target="_blank">Complete Maths Conference Peterborough</a> (Saturday 12th October)<br />
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<a href="https://1drv.ms/p/s!AiVD5E48l4WsiMhUMpCu3rYRCD0WPA?e=hZTJb8" target="_blank">Esk Valley Alliance</a> (Wednesday 16th October)<br />
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<a href="https://1drv.ms/p/s!AiVD5E48l4WsiMhQkS1IWNExI6driw?e=bTZktm" target="_blank">Niksham High School</a> (Friday 18th October)<br />
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<a href="https://1drv.ms/p/s!AiVD5E48l4WsiMhVNgjKRBB8v7jiXw?e=DGALd5" target="_blank">ResearchEd Surrey</a> (Saturday 19th October)<br />
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<a href="https://1drv.ms/p/s!AiVD5E48l4WsiMhSVO26qmCQepiyjA?e=FfvZBw" target="_blank">SEIC INSET day</a> (Monday 21st October)<br />
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Peter Mattockhttp://www.blogger.com/profile/10927650959808699047noreply@blogger.com0tag:blogger.com,1999:blog-2500447090923756998.post-68583210054568155892019-07-13T13:25:00.001-07:002019-10-30T14:42:57.501-07:00Teaching Exact Trig values<div dir="ltr" style="text-align: left;" trbidi="on">
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<b>***Warning - untested idea alert***</b></div>
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With the advent of all GCSE pupils needing to know exact trig values for 30, 45 and 60 as well as 0 and 90, a lot of people have been searching for a way to make these accessible for Foundation pupils. This came to the fore again on Wednesday prompted by this tweet from Drew Foster:<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh2p-WqKIGEAtAJcwVIO_T5BTK1hhpejhgeLRCawF7Tq7aScfmA03Un3GEJC2GyoenUIFKFR-0aB4COs1YR1-RZSCDKr8DhNdklkrZScsFhphfog_0SWNQas-B3gHX4KVKaBDdcVeLnigs/s1600/Tweet+from+Drew.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="436" data-original-width="591" height="472" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh2p-WqKIGEAtAJcwVIO_T5BTK1hhpejhgeLRCawF7Tq7aScfmA03Un3GEJC2GyoenUIFKFR-0aB4COs1YR1-RZSCDKr8DhNdklkrZScsFhphfog_0SWNQas-B3gHX4KVKaBDdcVeLnigs/s640/Tweet+from+Drew.png" width="640" /></a></div>
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Now this is interesting for me. I have typically taught this using the two standard triangles:</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgdSvdoYMGE0bPuA8KwuZUSvUWZFkSudDbAueIBDlHr2cMkI1rVF31geSKyVQN7p4rS-HCy8HyhIIMRDPkbhU5cFN8ADRS8DCA8HW0q0WP_HiEPnWHBjsgUxafKBI9qPEHJnA1OLN7wKw4/s1600/Special+triangles.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1030" data-original-width="1488" height="442" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgdSvdoYMGE0bPuA8KwuZUSvUWZFkSudDbAueIBDlHr2cMkI1rVF31geSKyVQN7p4rS-HCy8HyhIIMRDPkbhU5cFN8ADRS8DCA8HW0q0WP_HiEPnWHBjsgUxafKBI9qPEHJnA1OLN7wKw4/s640/Special+triangles.png" width="640" /></a></div>
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(Image from Don Steward - Median Blog)</div>
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However, I have been know to resort to some of the "tricks" contained in the original tweet, particularly for Foundation pupils or pupils closer to the exams. I know that understanding on its own is not enough to lead to memory, and so I justified this in terms of helping remember. This was particularly needed because, even with kids who understood how the triangles worked, is that they often forgot to draw the triangles, or what the triangles looked like. Instead, they would supplement my teaching by endlessly drilling themselves on the values, usually found in table form.</div>
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Now I don't necessarily have a huge problem with this, as it will allow them to access most standard questions. Of course, these days, the concern is around the non-standard questions. When one of those pops up, pupils will likely struggle if they don't have the necessary flexible knowledge with working out exact trig values from what they already understand about trigonometry.</div>
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I was mulling this over, and a possible approach came to me. Because it literally only came to me on Wednesday, I haven't had time to trial it yet, but I will be teaching Year 10 set 2 next year, and I think I have it straight enough in my head to try it with them (hopefully this blog will help with that, and I welcome feedback).</div>
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The idea centres around motivating the drawing of these triangles by linking them back to a unit circle type definition of the two major trig functions. I will start with a type of inquiry prompt based on this triangle:</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgyE1Fsurqfa3xGtj63SZRqhKVxwKd32RRlf4BcFn5dcpjcJo530Lq1o-SeMCfFE4B0OBTCV1NFd7M4Cv5IdpRHQpgzZPcCxLJs2aJJGIce14brLTryD9DPw9Pp6LjjmAvY0fwHrFRW2Pk/s1600/Base+triangle.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="129" data-original-width="225" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgyE1Fsurqfa3xGtj63SZRqhKVxwKd32RRlf4BcFn5dcpjcJo530Lq1o-SeMCfFE4B0OBTCV1NFd7M4Cv5IdpRHQpgzZPcCxLJs2aJJGIce14brLTryD9DPw9Pp6LjjmAvY0fwHrFRW2Pk/s1600/Base+triangle.png" /></a></div>
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And the prompt will be, "What angle is needed, with a hypotenuse of 1, to make the vertical side equal to ½?"</div>
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I expect the pupils' first wrong suggestion will be 45˚. At least I hope it will be. Because I want to use it to motivate looking at 45˚ later on. For now, when/if it comes up, I would want to deal with this through isosceles triangles, and the triangle inequality - something along the lines of "If θ is 45˚, then the other angle will also be 45˚, which means both would have to be ½. What does that mean for the triangle?" How much of that I will tell pupils, and how much I will prompt/look for pupils to recognise I will decide in the moment.</div>
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Having dispensed with this, the problem becomes a bit more interesting. We could do a bit of calculator trialling, I haven't made up my mind yet. Whether we do or not though, and whether pupils find the result or not, I want to move to justification. The justification for this would come from reflecting the triangle in the horizontal side, giving this picture:<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjmFxJWSc_njl8aRo98rT2FYrMKSqVigFNQMXcNLl7xDrhAWMBNoBudUkg41I50PHoqAaFZgTYD91_dxqDDVb0ZWYa-sq0pWldxbi-baLKBeCtrz3HW3RDymd1JmkFNPrVcO760zt25J_I/s1600/Base+triangle+with+reflection.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="242" data-original-width="291" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjmFxJWSc_njl8aRo98rT2FYrMKSqVigFNQMXcNLl7xDrhAWMBNoBudUkg41I50PHoqAaFZgTYD91_dxqDDVb0ZWYa-sq0pWldxbi-baLKBeCtrz3HW3RDymd1JmkFNPrVcO760zt25J_I/s1600/Base+triangle+with+reflection.png" /></a></div>
This of course leads directly to θ being 30<span style="font-family: "calibri" , sans-serif; font-size: 11pt;">˚</span> , as the triangle is an equilateral triangle.<br />
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Now of course this is very similar to the way that others would introduce the same idea. I think the difference is the focus of the approach. Previously I would have introduced this by first introducing the triangle, and using it to prompt find sine, cosine and tangent of 60<span style="font-family: "calibri" , sans-serif; font-size: 11pt;">˚</span> and 30<span style="font-family: "calibri" , sans-serif; font-size: 11pt;">˚</span> . The question of course is "why these angles?". Just because they are the ones that arise from an equilateral triangle? I think this is difficult for pupils because right-angled triangles and equilateral triangles are not well associated prior to this, particularly in the area of trigonometry. Instead, this seems a more natural question to ask - what angle makes the opposite half of the hypotenuse? It means not having to remember to draw an equilateral triangle of side 2, and then generating something useful,but rather actually drawing what you want to find, and then deducing it.<br />
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From here it would seem natural to ask about the length of the horizontal side (knowing it can't also be <span style="font-family: "calibri" , sans-serif; font-size: 11pt;">½), </span>and what that implies for the trigonometry.<br />
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But what about the other angles of 45<span style="font-family: "calibri" , sans-serif; font-size: 11pt;">˚</span> , 0<span style="font-family: "calibri" , sans-serif; font-size: 11pt;">˚</span> , and 90<span style="font-family: "calibri" , sans-serif; font-size: 11pt;">˚</span> ? Well I feel like this can lead naturally to those as well. As I alluded to earlier, I suspect the issue of 45<span style="font-family: "calibri" , sans-serif; font-size: 11pt;">˚</span> , will have come up already, and so it would be there for us to go back to: "What if the hypotenuse stayed 1, but the angle became 45<span style="font-family: "calibri" , sans-serif; font-size: 11pt;">˚</span> ?"<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiLJT841L9FoAw3n6dhBx9rpk6AvBbF-tPWwzNceM0a-H6wdqc0JPWZi7ctV6uxuZmE6fLdUSx-AORD3P4iUgMGnEdaMAD-5UyzVwv4wldKd6OUEVXamIizDsbwsn6MgnVprfqCh0__hZE/s1600/45+triangle.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="163" data-original-width="168" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiLJT841L9FoAw3n6dhBx9rpk6AvBbF-tPWwzNceM0a-H6wdqc0JPWZi7ctV6uxuZmE6fLdUSx-AORD3P4iUgMGnEdaMAD-5UyzVwv4wldKd6OUEVXamIizDsbwsn6MgnVprfqCh0__hZE/s1600/45+triangle.png" /></a></div>
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Which can be approached in the usual way using a bit of Pythagoras to show that sin 45<span style="font-family: "calibri" , sans-serif; font-size: 11pt;">˚</span> = cos 45<span style="font-family: "calibri" , sans-serif; font-size: 11pt;">˚</span> = 1/√2, and that tan 45<span style="font-family: "calibri" , sans-serif; font-size: 11pt;">˚</span> = 1 (because it will be something divided by itself).<br />
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As for 0<span style="font-family: "calibri" , sans-serif; font-size: 11pt;">˚</span> and 90<span style="font-family: "calibri" , sans-serif; font-size: 11pt;">˚</span> , I honestly can't see a way of arriving at them naturally, unless we first want to explore 15<span style="font-family: "calibri" , sans-serif; font-size: 11pt;">˚</span> and 75<span style="font-family: "calibri" , sans-serif; font-size: 11pt;">˚</span> . This I can see being justifiable, to continue the pattern that 30<span style="font-family: "calibri" , sans-serif; font-size: 11pt;">˚</span> , 45<span style="font-family: "calibri" , sans-serif; font-size: 11pt;">˚</span> , 60<span style="font-family: "calibri" , sans-serif; font-size: 11pt;">˚</span> would suggest. Unfortunately, I can't see a nice way of arriving at these without at least knowing some stuff about trig for non-right triangles. However, I think the same triangle with a hypotenuse of 1 can at least be used to give an intuitive understanding of the exact trig values for 0<span style="font-family: "calibri" , sans-serif; font-size: 11pt;">˚</span> and 90<span style="font-family: "calibri" , sans-serif; font-size: 11pt;">˚</span> .<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTlEvll_w0JjR3zuI9C_onB8_f0RoYG_TAp8NsnqJk5UQhEjo1FF23Vi5dOCCNurlKsB_OIe5ucP4n6xB9sFaATsXtlIBs_hK9OnXjD61WbkYBZZ8QrtkRt4y_nqF2jI6-p8vMgL8Fgp8/s1600/Base+triangle.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" data-original-height="129" data-original-width="225" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTlEvll_w0JjR3zuI9C_onB8_f0RoYG_TAp8NsnqJk5UQhEjo1FF23Vi5dOCCNurlKsB_OIe5ucP4n6xB9sFaATsXtlIBs_hK9OnXjD61WbkYBZZ8QrtkRt4y_nqF2jI6-p8vMgL8Fgp8/s1600/Base+triangle.png" /></a></div>
We can ask questions like "What is going to happen to the opposite/adjacent sides as the angle gets smaller?" Pupils should be able to see that the adjacent side will get close to the same length as the hypotenuse (i.e. 1) whilst the opposite will get very small. This of course is a pre-cursor to the formal idea of limits, and this can later become the limit as <span style="font-family: "calibri" , sans-serif; font-size: 11pt;">θ </span><span style="font-family: "calibri" , sans-serif; font-size: 11pt;">→ </span>0<span style="font-family: "calibri" , sans-serif; font-size: 11pt;">˚</span> . Similarly, we can then switch it around and ask "What will happen as the angle gets bigger?", the limit as <span style="font-family: "calibri" , sans-serif; font-size: 11pt;">θ </span><span style="font-family: "calibri" , sans-serif; font-size: 11pt;">→ </span>90<span style="font-family: "calibri" , sans-serif; font-size: 11pt;">˚</span> . Again, pupils should be able to see that the opposite will happen, and that the opposite will get close to the hypotenuse, but the adjacent will get very small.<br />
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Like I say, I haven't tried his yet, so if anyone wants to make suggestions for how I could make this better, do this in a way to maximise success etc then please do give me a shout.</div>
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Peter Mattockhttp://www.blogger.com/profile/10927650959808699047noreply@blogger.com0tag:blogger.com,1999:blog-2500447090923756998.post-4619798620830926482019-07-10T08:48:00.001-07:002019-07-10T08:48:37.999-07:00East Midlands Maths Hub Joint Conference<div dir="ltr" style="text-align: left;" trbidi="on">
Hi all! Lot of conferences recently! Last week I was lucky enough to present at the joint East Midlands South, West and East Maths Hub conference. I did a session on using representations (surprise, surprise!).<br />
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People at the conference suggested they would like to the slides to that session. They can be downloaded <a href="https://1drv.ms/p/s!AiVD5E48l4WsiMY0TINNv6Yt13esUA?e=wysbNu" target="_blank">here</a>.<br />
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Hope it helps!</div>
Peter Mattockhttp://www.blogger.com/profile/10927650959808699047noreply@blogger.com0tag:blogger.com,1999:blog-2500447090923756998.post-81626579051902447892019-06-27T14:28:00.004-07:002019-06-27T14:28:59.414-07:00NW3 Maths Hub Conference<div dir="ltr" style="text-align: left;" trbidi="on">
This Wednesday I was lucky enough to deliver the closing keynote to the Wigan NW3 Hub Conference at Haydock Racecourse. I absolutely loved the chance to mirror the development of an operation through a counters game, before exploring the importance of making sense of mathematics through the power of multiple interpretations of a concept.<br />
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The slides from my session are <a href="https://1drv.ms/p/s!AiVD5E48l4WsiMFft2mdjxqEMxAUPw?e=BxYbCY" target="_blank">here</a> (including the correct formula - well I hope so anyway!).<br />
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Thanks to Lindsay Porter for inviting me to speak (and giving my a lift back to the station) and to Jen for picking me up from Bryn station.</div>
Peter Mattockhttp://www.blogger.com/profile/10927650959808699047noreply@blogger.com0tag:blogger.com,1999:blog-2500447090923756998.post-16941870273514369932019-06-25T12:54:00.001-07:002019-06-25T12:54:42.796-07:00SEND Conference from LIME/Maths Hubs<div dir="ltr" style="text-align: left;" trbidi="on">
On Monday 24th June I had the privilege of presenting the closing session at an excellent event hosted at the Ashton-on-Mersey school. This was primarily for teachers of pupils with SEND. The main focus was on the use of manipulatives to support mathematical understanding - a personal favourite topic of mine.<br />
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Many delegates suggested they would find the slides useful, so I have made them available for download <a href="https://1drv.ms/p/s!AiVD5E48l4WsiMQZ6Nl-MVkOlsYFDA?e=pHFGcj" target="_blank">here</a>.<br />
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I should give a shout out and offer thanks to Louise Needham for asking me to speak at this fantastic event.</div>
Peter Mattockhttp://www.blogger.com/profile/10927650959808699047noreply@blogger.com0tag:blogger.com,1999:blog-2500447090923756998.post-26586458363894226702019-06-18T14:34:00.001-07:002019-06-18T14:34:16.164-07:00Putting the "Theory" into Cognitive Load Theory<div dir="ltr" style="text-align: left;" trbidi="on">
These days we are hearing a lot about Cognitive Load Theory. But what does this actually mean? Well to understand this it is worth reminding ourselves about what it means to be a theory in science.<div>
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A lot of people see the idea of a "theory" as something that is somewhat uncertain. This is often the use in everyday language - if someone has a "theory" about something, it often means they have no more than a vaguely plausible explanation for it.</div>
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A scientific theory is different though (or at least a good one is). A good scientific theory should broadly aim to do two things:</div>
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1) Explain observed phenomena</div>
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2) Predict the outcomes of other observed phenomena</div>
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This is what Cognitive Load Theory tries to do. It tries to explain phenomena about how/when the brain forms memories that have been observed, and predicts what might happens in certain circumstances. For example, it has been observed that people find it difficult to remember content if they are reading text at the same time as someone is talking. Typically people in this situation will not be able to answer questions about either the text or the content of the speech. CLT explains this by suggesting that the brain processes text in the same way as speech (in a way, you "hear" the words in your head) and that the brain only has one "channel" for processing auditory input. Trying to process two inputs through your "phonological loop" results in cognitive overload.</div>
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So what happens when a prediction goes wrong? What happens when CLT predicts a different outcome? Well the same as what happens when any other scientific theory predicts something incorrectly - either the theory is modified to include the new observation, or if it can't be modified sufficiently then it is deemed incorrect. However, incorrect theories can still be useful. A prime example of this is Newton's theory of gravitation.</div>
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Newton's theory of gravitation is wrong. It definitely doesn't adequately explain how gravity works in all cases. This was known in the 1800s, as Newton's theory of gravitation was slightly out in predicting the correct orbit of the planet Mercury. Einstein's general relativity is a better model. Its predictions are more accurate, and more applicable. However, in most cases, Newton's theory is still used. Why? Because it is much simpler. The equations that accompany Einstein's general relativity are absurdly complicated. If you are talking about black holes, or getting close to massive bodies in the universe, they are essential. But for most situations, the equations associated with Newton's theory do just fine. They predict to a high level of accuracy the gravitational forces between bodies. Newton's theory was used to put man on the moon.</div>
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So what does this mean? Well if we apply the same sort of ideas to Cognitive Load Theory, what it means is that CLT may well make incorrect predictions, particularly in extreme cases, but that doesn't necessarily mean that the other predictions it makes are automatically wrong, or that they can't be useful. But it also means that if you are going to try and apply the ideas within Cognitive Load Theory then it might be useful to remember the following:</div>
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1) CLT may well not a complete theory of cognition, and it may well produce incorrect predictions. This doesn't make it worthless.</div>
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2) If you are applying CLT, make sure you read information about the studies that supported aspects of the theory. This will give you a greater appreciation for how useful/accurate its predictions might be for your context.</div>
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3) Cognitive Load Theory may well support in your pupils converting more of what you teach into long term memory, but that also means you have to make sure that the memories you are getting your pupils to form are the right memories. CLT can't tell you how to teach the content of your subject so that the connections between topics become apparent - that is part of the knowledge/skill (contentious!) of the teacher.</div>
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Peter Mattockhttp://www.blogger.com/profile/10927650959808699047noreply@blogger.com0tag:blogger.com,1999:blog-2500447090923756998.post-75272281652460823282019-06-17T13:50:00.002-07:002019-06-17T14:03:43.163-07:00Research Ed Rugby - Mathematics Teaching for Mastery Using Rosenshine's Principles and Cognitive Science<div dir="ltr" style="text-align: left;" trbidi="on">
This Saturday I attended the truly excellent ResearchEd Rugby. Despite all sorts of problems with trains from London to Rugby, Jude Hunton (organiser) got a fantastic line up of speakers together for sessions on Research, Leadership, Maths, English, Science among others.<br />
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As part of the maths strand I was speaking in the afternoon. The thesis of my talk was that the NCETM approaches outlined in their Teaching for Mastery program, Rosenshine's Principles of Instruction, and some of the effects proposed by Cognitive Load Theory are the same ideas, discussed using different language.<br />
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It is worth reminding ourselves about how these three came into being. The NCETM ideas of Teaching for Mastery came from looking at "high performing jurisdictions" and their practice, as well as the research that underpins their approaches, and suggested what might have the most impact in mathematics education in this country.<br />
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Barak Rosenshine derived his Principles of Instruction by examining individual high performing teachers, and the common practice that they share. This of course was not specific to mathematics teaching.<br />
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Cognitive Load Theory is a theory for how the brain forms memory, and things that support forming of memory, based on experimental data. Of course, the point of a theory is that it explains observed phenomena, and predicts the outcomes of future phenomena. So CTL aims to explain things that have been observed about memory formation, and predict what might help memory formation in the future.<br />
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The three "competing" theories can be shown using these three images:<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhVSozbKgre3ouYljYBNJc0j6ezeI5fwQos8JEE-_P0FObtSQb7VvNz9o5xItFAD3aP07L5WUkJog1JyQnZ7xWLxL_eTL0eIVEDEowDDwjjGCVbb7u4mZSkYxTgGI3h-F_HYorP-TL0IGs/s1600/Image+2.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="458" data-original-width="1280" height="228" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhVSozbKgre3ouYljYBNJc0j6ezeI5fwQos8JEE-_P0FObtSQb7VvNz9o5xItFAD3aP07L5WUkJog1JyQnZ7xWLxL_eTL0eIVEDEowDDwjjGCVbb7u4mZSkYxTgGI3h-F_HYorP-TL0IGs/s640/Image+2.png" width="640" /></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgNO-poi5nhdxYUxvoJ5QMGF3s2gIUEjVMqvQ-MQLkiKatLzCk6Vi6hEOpqCgFPwmQojGwq7_Y2qYphqVqLI2S-rAx7jjUkHUJBqQGIZYboACZ8iCSQjnvmFR0Yab8KNZv2sXHAoc9bTZo/s1600/Image+3.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="704" data-original-width="996" height="452" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgNO-poi5nhdxYUxvoJ5QMGF3s2gIUEjVMqvQ-MQLkiKatLzCk6Vi6hEOpqCgFPwmQojGwq7_Y2qYphqVqLI2S-rAx7jjUkHUJBqQGIZYboACZ8iCSQjnvmFR0Yab8KNZv2sXHAoc9bTZo/s640/Image+3.png" width="640" /></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg9xMqchIo2rNQNQM08pd0cPcTdbr78_IaefAw4N_eQuhUlKANDNGCmDRYoUDdRmrncfHyoz3yHy_QOKkPDcguV1GD7GHTMER4iyHkYbPBL9ZIY6hZIo6jtBYcE4QlAwTBYzWakLW5IPa0/s1600/Image+4.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="450" data-original-width="600" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg9xMqchIo2rNQNQM08pd0cPcTdbr78_IaefAw4N_eQuhUlKANDNGCmDRYoUDdRmrncfHyoz3yHy_QOKkPDcguV1GD7GHTMER4iyHkYbPBL9ZIY6hZIo6jtBYcE4QlAwTBYzWakLW5IPa0/s640/Image+4.png" width="640" /></a></div>
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I contend that many of the ideas from these three sources actually significantly overlap, and in some cases are indistinguishable. Take this example from my presentation:<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDJ9SdxoLN-Nz1M3oKPjTGon-L4D_UQAewbrjLLe9vb4V_GE6DK-B3RFey36fX_p22TajOUjLrFMOIArXKy3_DbBEG7LpNLZozetRqV3qWnyGC_Unyqd7xeiDW9MXdkQmBzz1DxveMp3Q/s1600/Image+1.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="450" data-original-width="800" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDJ9SdxoLN-Nz1M3oKPjTGon-L4D_UQAewbrjLLe9vb4V_GE6DK-B3RFey36fX_p22TajOUjLrFMOIArXKy3_DbBEG7LpNLZozetRqV3qWnyGC_Unyqd7xeiDW9MXdkQmBzz1DxveMp3Q/s640/Image+1.png" width="640" /></a></div>
On the left hand side is a picture of the expression <i>x</i><sup>2</sup>
+ 5<i>x</i> + 6, which then shows how this picture can be rearranged into a rectangle, which shows the factorisation. This can be physically shown using concrete or virtual manipulatives. Then there is an expression on the right hand side which is intended for the learner to factorise (given access to the concrete version of the manipulative).<br />
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The title for the slide was:<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhgy4lB8_8LVn-uENU1jLT-sSiXv7nrGEzQgU5dGFkYdavQ2-UmJEYub8Dvh9a-QATYZKoi4C6jVrMH6ilzphE7yxDWKq2bMrlauav1qUu3QJk9U0Fi7xWySnf5lZmKP5_qEFF3LZ4IJ40/s1600/Image+5.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="450" data-original-width="800" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhgy4lB8_8LVn-uENU1jLT-sSiXv7nrGEzQgU5dGFkYdavQ2-UmJEYub8Dvh9a-QATYZKoi4C6jVrMH6ilzphE7yxDWKq2bMrlauav1qUu3QJk9U0Fi7xWySnf5lZmKP5_qEFF3LZ4IJ40/s640/Image+5.png" width="640" /></a></div>
The proposition here is that this could be considered Modelling, if thinking about Rosenshine's principles, or it could be considered Representation if thinking about NCETM Teaching for Mastery approaches, or could be considered the use of the Worked Example Effect if thinking about Cognitive Load Theory.<br />
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I highlighted several other examples throughout the session:<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEirnTg1Hspk7t9zKzv12r7VyWZTPzZ7Nt3baTaorA1PBUl1qwAerKZrvyeCu5FxrrOhTtmxUKmsz5NIYLkjUQX-bTjK8-Kh5Uz-Q33qYNq-bcguKFlxWm6ObPPVlMllAi42GN4VqPXl0KA/s1600/Image+6.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="450" data-original-width="800" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEirnTg1Hspk7t9zKzv12r7VyWZTPzZ7Nt3baTaorA1PBUl1qwAerKZrvyeCu5FxrrOhTtmxUKmsz5NIYLkjUQX-bTjK8-Kh5Uz-Q33qYNq-bcguKFlxWm6ObPPVlMllAi42GN4VqPXl0KA/s640/Image+6.png" width="640" /></a></div>
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This activity is one that can be used to support developing Fluency, which is also an example of independent practice and also uses the Goal Free Effect.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgtkjAOoXaLRwH5qnBVFcUn5nRR_T-pGm-wf9kapwVqSL64b0dkU9rOqunY6pRdBWrH862uN5mnHgqsqqz4BdkkdTdwTe6z_cOyopotBL6-ZG4T-lLOxYvSCKWbgG9d5e_sZoOehRCZzaA/s1600/Image+7.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="450" data-original-width="800" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgtkjAOoXaLRwH5qnBVFcUn5nRR_T-pGm-wf9kapwVqSL64b0dkU9rOqunY6pRdBWrH862uN5mnHgqsqqz4BdkkdTdwTe6z_cOyopotBL6-ZG4T-lLOxYvSCKWbgG9d5e_sZoOehRCZzaA/s640/Image+7.png" width="640" /></a></div>
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This activity prompts Mathematical Thinking, it can be seen as using the Expertise Reversal Effect, and can be used to provide Scaffolding for Difficult Tasks. Note; if you are going to use this task, an important point is that learners should aim to make the minimum change possible from the starting shape in the middle.</div>
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The point of course is that these are not competing ideas at all. There is something to be gained from all of them, particularly where they actually say the same thing.</div>
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*Hat tips to the Learning Scientists and Oliver Caviglioli for the posters, Jonathan Hall and his website Mathsbot.com for the virtual manipulatives, Open Middle for the open box problem, and Professor John Mason for the Area/Perimeter activity.<br />
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*The full presentation can be downloaded by clicking this <a href="https://docs.google.com/uc?export=download&id=10k4KYpPpopaYUP6vELbn0RyLQFgF9tqQ" target="_blank">link</a>.<br />
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Peter Mattockhttp://www.blogger.com/profile/10927650959808699047noreply@blogger.com0tag:blogger.com,1999:blog-2500447090923756998.post-46124285026209645292019-05-29T12:09:00.001-07:002019-05-29T12:09:38.819-07:00Reasoning, Problem Solving, Interpretation and Fluency<div dir="ltr" style="text-align: left;" trbidi="on">
So as part of my holiday I was listening to Craig Barton's most recent <a href="http://www.mrbartonmaths.com/blog/michael-pershan-example-problem-pairs-problem-solving-and-moving-schools/" target="_blank">podcast</a> with US educator Michael Pershan. In one part of the podcast Craig talks about his belief that reasoning required fluency before it could be conducted, but that this belief was challenged in a session with the eminent Mike Askew at the joint ATM/MA conference held over Easter. From Craigs description Mike posed a problem similar to this one:<br />
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<b>45 × 36 = 45 × 35 + 35 True or False?</b> </div>
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The point was that this sort of question is one that can be considered, and the correct result arrived at, even if pupils are not capable of carrying out the calculation 45 × 36 correctly. Clearly this is true, and inspired this quote from Michael:</div>
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<b>"Reasoning happens in the absence of fluency"</b></div>
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Craig reflects on this at the end of the podcast, and talks about how if you "hit a wall" with a problem, if you don't have the required tools in your toolkit (or don't recognise you do) that is when you need to reason. Craig also suggests (although he also admits that it doesn't feel right) that a possible implication of this is that teachers may hold pupils back from achieving fluency in order to allow opportunities for reasoning. Craig goes on to describe the idea of "teaching the fluency first" and then the reasoning becomes part of strategy selection - pose problems that pupils have the toolkit to solve, but pupils need to consider which strategies are appropriate. Craig offers his own SSDD problems as an example. </div>
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It struck me whilst listening to this, that it may well be of benefit to make a careful distinction between what me mean when we talk about reasoning and problem solving. Consider this from the National Curriculum document, that says pupils will reason mathematically by:</div>
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<span style="background-color: white; color: #0b0c0c; font-family: nta, Arial, sans-serif; font-size: 19px;">"</span><span style="background-color: white; color: #0b0c0c; font-family: nta, Arial, sans-serif; font-size: 19px;">reason mathematically by </span><span style="background-color: white; color: #0b0c0c; font-family: nta, Arial, sans-serif; font-size: 19px;">following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language</span><span style="background-color: white; color: #0b0c0c;"><span style="font-family: Verdana, tahoma, arial, helvetica, sans-serif;">"</span></span></div>
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There isn't really reference in this to strategy selection, or working through a problem here. This is highlighted much more in aim 3:</div>
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<span style="background-color: white; color: #0b0c0c; font-family: nta, Arial, sans-serif; font-size: 19px;">"can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions"</span></div>
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This seems much more about what Craig is talking about with not having the necessary toolkit, and therefore not learning a lot (or simply not being able to persevere) whilst seeking solutions. This I think is where I agree with Craig - pupils need to have a secure knowledge of the mathematics underpinning the problem. The aim makes that clear - pupils solve problems by applying their mathematics. If they don't have the mathematics, they can't apply it. The purpose here is as Craig describes at the end of the podcast, to identify the mathematics required, to link the problem type to other problems they have previously encountered etc. The purpose is not actually to learn new mathematics at all. Ideally, it should not be obvious what mathematics will be needed to solve the problem, either from the context of the lesson in which the problem is set, or from the content of the question at all. What I think Craig talks about as "reasoning" about the problem is actually interpretation and strategy selection. There comes a point where we want pupils to be able to look at a problem <b>where the mathematics required isn't explicit</b>, and interpret the problem successfully to identify the mathematics required, before applying that mathematics through an appropriate strategy. One of my favourite areas for these is speed problems. Speed problems are a great source of both routine and non-routine problems. Some problems involving speed are solved by multiplication. Others are solved by division. And then even when a pupil can identify whether they are going to use multiplication or division, they need to choose a strategy for the calculation - for the best way to carry out the division or multiplication.</div>
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So where does this leave <i>reasoning</i> in comparison then? Well I actually did a session on this at what must have been mathsconf10 (by the dates of the materials) and it included this slide:</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjMpOZPGanI7rUCdg57ZOKQtY9JzX06ag5-iwsQwRxl9gyrPPOuqiiVH7Sf6Q7JVsMGDplEDelSozKWmdruxp8HJbC5DLFraFLr9a8YYuL1oUvQz3wxX7YL6ZfO80RT9rTTSjUM-72J8Sc/s1600/Difference+between+Reasoning+and+PS.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="450" data-original-width="800" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjMpOZPGanI7rUCdg57ZOKQtY9JzX06ag5-iwsQwRxl9gyrPPOuqiiVH7Sf6Q7JVsMGDplEDelSozKWmdruxp8HJbC5DLFraFLr9a8YYuL1oUvQz3wxX7YL6ZfO80RT9rTTSjUM-72J8Sc/s640/Difference+between+Reasoning+and+PS.png" width="640" /></a></div>
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For me, the top question involves reasoning because the mathematics required is clear. That question is about highest common factor and lowest common multiple, and in particular their relationship to two numbers. The lower question is a true "Problem Solving" question (if you ignore the 'real life' context) in that it isn't clear what mathematics is going to be required. One could argue is that the last place you might want this question is in a lesson about LCM (particularly if not surrounded by others that aren't). By contrast, the reasoning question doesn't try and obscure the maths required, but at the same token doesn't just require application of a method. The reasoning question is trying to prompt a deeper consideration of the knowledge that the pupil is developing. To make them think about that knowledge in a way that, perhaps, they hadn't considered before. In the podcast Michael is therefore right, reasoning does happen in the absence of fluency, but that is because reasoning is an important part of <b>developing</b> fluency. To become fluent, one has to be able to approach questions like the first one above, and use knowledge flexibly to develop the chain of logic required. This of course means we can't talk about teaching to fluency before we offer opportunities for reasoning. For me, opportunities to reason are an integral part of the journey to fluency.</div>
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Peter Mattockhttp://www.blogger.com/profile/10927650959808699047noreply@blogger.com0tag:blogger.com,1999:blog-2500447090923756998.post-87488998634998076202019-05-27T09:32:00.002-07:002019-05-27T10:42:42.617-07:00My High Five<div dir="ltr" style="text-align: left;" trbidi="on">
Ben Gordon on Twitter suggested this idea, and started off with his brilliant "<a href="https://teachinnovatereflectblog.wordpress.com/2019/05/26/the-5-main-things-i-have-learnt-this-year/" target="_blank">Teach Innovate Reflect</a>" blog. I am going to use the same format that Ben suggested, which can be seen below:<br />
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Format:<br />
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<li>What you learnt</li>
<li>What was the source</li>
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I really love the idea of educators sharing a few key ideas from their professional learning. Sometimes it can seem really hard just to filter all of the great practice that comes across your timeline. This seems to me to be a great way of giving others a bitesize of the things that have made the biggest impact on them. So here are my 5 main things I have learnt this year:</div>
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1) That there are three levels of curriculum planning</div>
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What I learnt: The difference between the intended, implemented and enacted curriculum.</div>
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Source: Bauersfeld 1979, via Dylan Wiliam's paper on principled curriculum design.</div>
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Implications on my practice: I guess this really helped frame many of our conversations in department, particularly around developing material for our new scheme. What was really useful is having a language to discuss the separation between what we plan, what we teach and what kids learn. I wrote more about it in my article for TES <a href="https://www.tes.com/news/3-essential-steps-building-maths-curriculum" target="_blank">here</a>.</div>
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2) About the use of blocked practice</div>
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What I learnt: That blocked practice is useful in early concept development</div>
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Source: I honestly cannot remember</div>
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Implications on my practice: First of all, I am sure I am not the only person that reads/hears things, and has near perfect recall of what they read/heard but cannot at all remember where? But anyway, we have heard a lot in the last year or two about the importance of interleaved practice. What emerged from somewhere recently (although like I say I cannot say where) is the idea that when pupils are first developing a new idea, or applying it in a new way, that they need time to just focus on that idea. Later on, interleaved practice is really helpful in promoting far transfer, but this does need to wait otherwise the new concept/application becomes confused. In terms of my practice, this basically means we do a lot of back and forth stuff in class around the main idea, and it is only when the more independent work starts that interleaved practice comes in.</div>
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3) The best ways to use examples</div>
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What I learnt: How much backwards fading of examples improves learning.</div>
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Source: It wasn't the first place I read/heard it (again can't remember where that was), but most recently on Craig Barton's podcast with Mark McCourt.</div>
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Implications on my practice: Quite obvious really, I plan example sets rather than two or three full examples, and within those sets I gradually reduce the support until pupils can work through a few from beginning to end.</div>
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4) Some important things about Direct Instruction programmes</div>
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What I learnt: That DI programmes need to be under 15 pupils and that over 80% of each hour revisiting rather than teaching new material.</div>
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Source: Chloe Sanders (@Chloe_jo) courtesy of the @DITrainingHub at St Martins Catholic School, Stoke Golding.</div>
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Implication on my practice: We are trialling a small group intervention using Connecting Maths Concepts with a possible view to expand this a little next year. As part of our preparation for this I was lucky enough to have the opportunity to visit St Martins and see DI in action with the amazing Chloe Sanders. It was in discussion with Chloe that I found about these important rules for DI programmes. Admittedly we were going to use the same programmes, but just getting it straight early on, I think, has helped with the implementation and will help it have more impact when we choose to use it.</div>
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5) How great Frayer models are<br />
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What I learnt: That Frayer models exist, and how great they are for capturing mathematical concepts.<br />
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Source: Jo Gledhill (@JoLocke1) at #mathsconf18.<br />
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Implication on my practice: I have been openly critical of the use of knowledge organisers for mathematics teaching. Kris Boulton summed up a lot of the problems with them in his <a href="https://tothereal.wordpress.com/2018/06/04/why-maths-teachers-dont-like-knowledge-organisers/" target="_blank">blog</a>. However, when Jo showed a Frayer model (like the one below), I couldn't believe I had never seen them before. I immediately saw how useful they could be for summarising ideas in maths. Over this summer I am going to write them into our new scheme, although I do need to give a little more thought as to how.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgVLCAUUM9usLm1l9wubXc0jhwK40xfMcx14afnOr4X_aqI0G3s98MuqT-SdLbm28e39cfzomwkT8J9nWR4oYUqMfUBgs-gtnMqU9f-o90mpFe2SoAtEiCVgaOnIveZDNDjc8JrOnU2X-g/s1600/Frayer+Model.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="998" data-original-width="1600" height="398" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgVLCAUUM9usLm1l9wubXc0jhwK40xfMcx14afnOr4X_aqI0G3s98MuqT-SdLbm28e39cfzomwkT8J9nWR4oYUqMfUBgs-gtnMqU9f-o90mpFe2SoAtEiCVgaOnIveZDNDjc8JrOnU2X-g/s640/Frayer+Model.png" width="640" /></a></div>
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Maybe one of these things is a new thing for you. Whether it is or it isn't, I hope you will consider sharing the 5 things you have learned this year, so others have the opportunity to learn from you (and make sure you tag me in!)</div>
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Peter Mattockhttp://www.blogger.com/profile/10927650959808699047noreply@blogger.com0tag:blogger.com,1999:blog-2500447090923756998.post-7350248248793749202019-04-10T13:08:00.000-07:002019-04-10T13:09:10.964-07:00A great DI day out at St Martin's<div dir="ltr" style="text-align: left;" trbidi="on">
Today I had the enormous privilege to visit <a href="https://twitter.com/stmartin1963" target="_blank">St Martin's Voluntary Academy</a> in Stoke Golding. A colleague and I were there to see the use of Connecting Maths Concepts, a Direct Instruction Program that was developed in the United States. I am looking to use these materials to support some pupils who have struggled with maths in the past, and if successful to integrate them into the small group intervention work we do with pupils at my school.<br />
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I suspect some will be surprised to hear that from me, particularly after my recent <a href="http://www.mrbartonmaths.com/blog/peter-mattock-visible-maths-planning-lessons-and-running-a-department/" target="_blank">podcast with Craig Barton</a> so allow me to clarify. I am 100% of the opinion that developing understanding of mathematical concepts slowly and carefully is the best way to teach maths, both from a pupil outcome point of view and from a "this is what maths is" point of view. For me, this is what maths teaching should like, and this is what the experience of learning maths should be. So why then would I be looking at a program that (at least on the surface) seems to be entirely about developing "procedural fluency" in isolation? Well for two reasons:<br />
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1) I believe that developing understanding carefully and slowly is the best way of going about teaching maths, and that most pupils will develop a strong and flexible understanding of maths by working in this way. But I am not naive enough to think that this will work 100% of the time for 100% of the pupils. It would always be my start point, but for some this will not be enough. We already know that understanding on its own is not enough for retention- pupils forget even those things that in the moment they appear to understand. This is why it is important, even when building understanding of concepts, to plan in opportunities to revisit and re-use ideas. I often refer to this as "picking up an idea", pupils need to pick up ideas they have seen before, play with them for a bit, and then put them down again. And some need a lot more of this revisiting than others. The benefit of this program is that it is at least 80% revisiting previous ideas. And they are built on directly. The links between (for example) adding and subtracting decimals and comparing the sizes of decimals are explicitly made. Couple this with the fact that kids were getting stuff right. Lots of stuff. By some estimates kids in these programs answer up to 500 questions in an hour. And they get the vast majority right. Now I know that maths is not about just "getting it right", but imagine being that kid that only ever got things wrong. That barely even did anything compared to their peers and then mostly got it wrong. Perhaps the only time they got it right was when they had an adult supporting them. Would you be minded to explore the depths of that subject? I know I wouldn't. What I saw today was pupils having the opportunity to be successful in what they saw as maths, something they probably hadn't experienced for the first 6 or 7 years of their education, and then being shown how this can lead them to getting other things right. And I definitely don't think that is a bad thing for eventually supporting pupils to have the <b><a href="https://www.nap.edu/read/9822/chapter/6#116" target="_blank">productive disposition</a></b> to explore maths further. Coupled with this is the simple lack of mathematics these pupils have encountered relative to their peers. Whilst the value of "<a href="https://www.brookings.edu/blog/education-plus-development/2018/05/21/defending-the-30-million-word-gap-disadvantaged-children-dont-hear-enough-child-directed-words/" target="_blank">30 million</a>" has been challenged in recent years, it is clear that there is a word gap between disadvantaged pupils and their peers when they start school, and this often widens to the detriment of the eventual outcomes of these pupils. I suspect that part of the power of DI programs is simply the amount of mathematics questions that pupils have to engage with, which will seek to redress any gap in the amount of exposure these pupils have had in relation to their peers.<br />
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2) I am far from convinced that these programs <b style="text-decoration-line: underline;">have to</b> focus on procedural fluency in isolation. Having worked with Rosenshine's principles of instruction, cognitive science and teaching for mastery principles, I have seen how there is much more to connect them than separate them. Infact this will be part of the subject of my talk at <a href="https://www.eventbrite.co.uk/e/researched-rugby-2019-tickets-58503529632" target="_blank">ResearchEd Rugby</a>. It may be that some DI programs do focus exclusively on procedural fluency, but that is not what I saw today. I saw pupils using images of tens frames and larger grids to support their making sense of addition. I saw them making sense of what it means to be a quadrilateral, a triangle, a rectangle, through being exposed to and identifying examples and non-examples. I saw pupils being forced to develop their thinking and language through intelligent questioning, both verbally in the display materials. I saw pupils being expertly guided by their teacher, the fantastic <a href="https://twitter.com/chlojo_82" target="_blank">Chloe Sanders</a> who took great care of both myself and my colleague all afternoon.<br />
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I would have been happy for the visit to have stopped there, as I had everything I wanted at that point. Instead we were treated to what can only be described as a visit fit for royalty. Firstly treated to lunch with the head, <a href="https://twitter.com/Irenaeus1969" target="_blank">Clive Wright</a> where we had the chance to talk about their journey with DI, discuss the progress of the <a href="https://twitter.com/Knowledge_Ed" target="_blank">Knowledge Schools Hub</a> and Chloe's exciting upcoming visit to America to the <a href="https://www.nifdi.org/" target="_blank">National Institute for Direct Instruction</a> to talk with (among others) Kurt Engelmann, son of the legendary late Siegfried Engelmann. Then whisked on a tour of the school and seeing the fantastic culture that the team at St Martin's have developed. Every lesson had pupils working with expertly designed materials, taught well by teachers whose expertise were recognised and celebrated, and in classrooms where behaviour was utterly impeccable. A big part of this was the utterly ruthless consistency of application in every classroom. All pupils have access to the same material and challenge, with those who need it supported to achieve as well as others. Every classroom has the same routines, but rather than being stifling to pupils these allow pupils a sense of ease - they know what is expected of them and what they can expect from their teachers. This allows for a relaxed atmosphere where pupils and teachers work together seamlessly for the benefit of all. Everything is thought of and planned, from the lesson materials (not all scripted for DI, but all explicitly taught) to the resealable cans of still water that are available that cut down on plastic waste.<br />
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I am honestly not sure I can adequately put into words just how impressive our visit was. My heartfelt thanks have to go to Clive and particularly Chloe who took such good care of us, as well as to all the pupils and staff at St Martin's who accommodated us. I would heartily recommend you visit for yourself if you can and see the incredible work going on at this school - make contact with the <a href="https://twitter.com/DITrainingHub" target="_blank">Direct Instruction Hub</a> and see it for yourself!<br />
<a href="http://www.mrbartonmaths.com/blog/peter-mattock-visible-maths-planning-lessons-and-running-a-department/" target="_blank"><br /></a>
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Peter Mattockhttp://www.blogger.com/profile/10927650959808699047noreply@blogger.com0tag:blogger.com,1999:blog-2500447090923756998.post-34301842520076353522019-04-08T14:23:00.001-07:002019-04-08T14:23:32.103-07:00Creating non-standard examples/interweaved examples.<div dir="ltr" style="text-align: left;" trbidi="on">
I posed my department a question today in my department meeting:<br />
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"Which other areas of maths do pupils need to apply the knowledge that the sum of the angles in a planar triangle is 180 degrees?"<br />
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There were some great examples of places such as circle theorems and angles in polygons but also places like coordinate geometry. What we then talked about was the idea of creating non-standard examples from images like those we might find in these area. This led to questions/examples like these:<br />
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The beauty of these was that the questions needed very little adaptation to make the focus finding a missing angle in the triangle, and the questions then get pupils used to seeing pictures like this and seeing angles in triangles. Furthermore, if a question can be adapted so that it only requires the angles in a triangle it becomes a non-standard example, but if it can't then it becomes interweaving the other topic into angles in a triangle, or interweaving angles in a triangle into another topic.</div>
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We moved the discussion onto other areas as well, so I thought I would share some of the favourite ones that my team came up with:</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj5_0owM07PzrtV2eQ6dlTnAGuZN24ODO70B0S_A6sGnOTt6hdU4eGXpxpvuF3q9-8d_1SZtnzFid6h-sM4kdOdnKBwhhykyaLiDtPH2qg6bJci0Vyhyphenhyphennsrcv3_0ZZdhz4AK7p867ILb7U/s1600/Areas+of+rectangles+histogram.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="523" data-original-width="368" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj5_0owM07PzrtV2eQ6dlTnAGuZN24ODO70B0S_A6sGnOTt6hdU4eGXpxpvuF3q9-8d_1SZtnzFid6h-sM4kdOdnKBwhhykyaLiDtPH2qg6bJci0Vyhyphenhyphennsrcv3_0ZZdhz4AK7p867ILb7U/s320/Areas+of+rectangles+histogram.png" width="225" /></a></div>
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As part of a lesson about finding area of rectangles, calculate the area of the bars in a histogram. A chance to interleave decimal multiplication. No understanding of what a histogram actually is is required here, but when it is time pupils are already used to looking at them.</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjtaJq19zjS_xlvQ3-vWPP_337X7ERufEIp8XHVlCVvEZj4C_XEwcS0U1lBf_vB0wYjwOQOV5QIY7zdFRN_aLfROJxQU971ENXxwRH1ot8cw4KOEiyKtavjMvMBBXoh2zYZLaxArJylXBg/s1600/Area+of+triangle+inequalities+and+regions.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="356" data-original-width="355" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjtaJq19zjS_xlvQ3-vWPP_337X7ERufEIp8XHVlCVvEZj4C_XEwcS0U1lBf_vB0wYjwOQOV5QIY7zdFRN_aLfROJxQU971ENXxwRH1ot8cw4KOEiyKtavjMvMBBXoh2zYZLaxArJylXBg/s320/Area+of+triangle+inequalities+and+regions.png" width="319" /></a></div>
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Find the area of the shaded triangle. If pupils can solve simultaneous equations then pupils can find the base and height, if not then these could be given to get pupils seeing the triangle. The same stimulus could actually be used at different stages:</div>
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1) When first encountering area of triangles with all relevant information given.</div>
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2) When solving simultaneous equations in order to find base and height before finding area.</div>
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3) When graphing inequalities, which could then lead to the others.</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg5UhP2PkngeVvbbzHCaDV9WVvRdDv9T1ORtFeWX0WBUU_ckvBbZmzIo1TyR1ygF533Xq7tqg-y6P8jz9yqeF6Es8ktqf4itqYlA6YJsVC_Q6wExSdwWmCqES7Ztg6NqUAy0Dknc9EnTsI/s1600/Sine+rule+missing+angle.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="420" data-original-width="503" height="267" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg5UhP2PkngeVvbbzHCaDV9WVvRdDv9T1ORtFeWX0WBUU_ckvBbZmzIo1TyR1ygF533Xq7tqg-y6P8jz9yqeF6Es8ktqf4itqYlA6YJsVC_Q6wExSdwWmCqES7Ztg6NqUAy0Dknc9EnTsI/s320/Sine+rule+missing+angle.png" width="320" /></a></div>
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Find the missing angle in the triangle. This was actually adapted from a sine rule question, but could be used in a couple of places before getting to the sine rule:</div>
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1) With this information given, just to get pupils ignoring the extraneous information about the sides.</div>
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2) Pupils could construct the triangle accurately to find the length <i>x</i> once the angle θ has been found.</div>
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Peter Mattockhttp://www.blogger.com/profile/10927650959808699047noreply@blogger.com0tag:blogger.com,1999:blog-2500447090923756998.post-41298088810940753712019-03-18T15:39:00.002-07:002019-03-18T15:39:47.862-07:00Sorry for my absence! AND a note on the abstract<div dir="ltr" style="text-align: left;" trbidi="on">
Wow, it has been nearly a year since I have blogged. It doesn't feel that long, and yet I know it has been a long time. I have to apologise to anyone who has missed me (I can't imagine why you would), but the work involved in writing and then bringing a book to the point it can be published is quite something. Alongside this, I have been working hard on our curriculum developments. Before anyone asks, no this wasn't something levied on me by my school in response to Ofsted's new focus on curriculum. It was planned development that we instigated as a department, in response to the reading and development work we had done. I am really excited about its potential, but it has been quite a job of work. There have been new scheme documents to write, and new lesson materials to develop. New assessments to write, and new homework booklets to put together. I am planning a big launch of this at some point, but it won't be this academic year as so far we only have completed the materials for Year 7 and I want at least Year 8 done before we make it all public (plus I have to get permission from my school and team as well!) Hopefully it will be worth the wait. But in the meantime a more recent reflection.<br />
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A minor disagreement crossed my Twitter feed a couple of weeks back about the nature of the second term in <b>7 – 3</b><i style="font-weight: bold;">y. </i>The question was posed as to whether the second term is 3<i>y</i> or -3<i>y</i>. To answer this question I want to focus on what "7 – 3<i>y</i>" actually is.<br />
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The first thought is probably "its an (algebraic) expression". Totally correct. But still only words. What <i><u>is</u></i> 7 – 3<i>y</i>? This is where it gets difficult. A mathematical entity? A thing?<br />
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The truth is 7 – 3<i>y </i>is a pure concoction of thought. It is nothing except how it exists in our minds. That isn't to say that there aren't real phenomena that can be related to the expression. But they aren't the expression. The expression is just there, as an abstraction of the mind. And that means it can be whatever I want it to be. Or rather it is as I choose to make sense of it. If I understand that it can be seen as the difference between 7 and 3<i>y</i>, then I can choose to see it like that. If I can make sense of it as 7 and -3<i>y</i> then I am allowed to do that as well.<br />
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For me, this is why it is important for us to ensure we support our pupils in developing understanding. So much of maths only exists in the ways that we make sense of it. Even well established concepts such as addition only exist for us in the ways we are able to make sense of them. Addition may have arisen out of practical ideas, such as collecting objects together, but it has far surpassed that since it has been applied to things like irrational or complex numbers. It is now an abstract concept, there to be made of what I can. So long as I don't contradict the results of other ways of making sense I am fine (for example, I can't just decide that 3 + 5 is going to be 9 - any way I have to make sense of addition must result in 3 + 5 being 8).<br />
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If we don't support pupils to make sense of these concepts, to have different ways of seeing and manipulating abstract mathematics within its rules and established prior results, then our pupils will never be fluent in mathematics. They will not have a chance to attain the understanding of which they are heirs to. And then they won't get chance to delve into "the best that has been thought and said" in the field of mathematics.<br />
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Peter Mattockhttp://www.blogger.com/profile/10927650959808699047noreply@blogger.com0tag:blogger.com,1999:blog-2500447090923756998.post-39327709294012498672018-12-04T12:40:00.000-08:002018-12-04T12:40:00.849-08:00Should trainee teachers that "fail" be allowed to continue working to QTS?<div dir="ltr" style="text-align: left;" trbidi="on">
I have been teaching for nearly 14 years, and spent over a decade involved in training maths teachers in some guise or another. Like anyone involved in teacher training, I have seen trainees that have developed really quickly and by the end of the course have looked like they have been teaching for years. I have seen trainees that are badly struggling and clearly not suitable - most of them have deferred or left before the end of the course. But I have seen some that just need a little more time. They get on well with the assignments, they are professional in their approach, but for one reason or another they are not quite on track. Often it is due to struggling with behaviour, occasionally for other things, but they aren't far away. These trainees face a difficult choice - defer and return later, having perhaps done a bit more work in schools, give up and write off the year, or try and extend their training. But some are not in a position to defer, and it can be a bit of a stigma for having had to defer for anything other than a family situation. The costs involved in extra time at a University can also be prohibitive for some, and not all school based training can easily accommodate extension beyond a year.<br />
<br />
Given our recruitment and retention problems in maths education at the minute, I wonder if it is not time to revisit trainees like this. Trainees that are not quite going to get there in a year, but could well get there. Trainees that have completed the theory work, but need more time on the practical. People that are invested in teaching maths, that really want to make it happen, but just need a bit longer to work on it.<br />
<br />
I wonder if it should be possible for a trainee in this position to get a job in a school, perhaps initially as an unqualified teacher, but to be able to continue working towards QTS through their training establishment. They could then achieve QTS at any point in the year, at which time they could move to the qualified pay scale.<br />
<br />
This is by no mean a fully fleshed out thought. What would happen if a "failed" trainee couldn't find a job? How long before they have to start from scratch? What would happen if they did get a job, but didn't achieve QTS within a year? Should they be be allowed to keep going? And again, if so, for how long? But I still wonder if we could find ways of answering these (and other) questions that we might not be able to bring more committed people into the profession. The idea also speaks to my values as a teacher and trainer, I would always much rather work with and support someone who is struggling than dismiss them.<br />
<br />
I would welcome thoughts on this idea, how we might answer the questions, and what other issues would need tackling, or even just whether people agree or disagree that this idea has merit.</div>
Peter Mattockhttp://www.blogger.com/profile/10927650959808699047noreply@blogger.com0tag:blogger.com,1999:blog-2500447090923756998.post-56628568096223319222018-09-29T02:57:00.001-07:002018-09-29T02:57:58.101-07:00Time to revisit...Teaching for Mastery<div dir="ltr" style="text-align: left;" trbidi="on">
In two weeks time on October 13th I will be delivering a session that shares the title of this blog. The blog is meant to act as a preview to the session.<br />
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“Mastery”. Some people see it as the latest buzz-word to be
shunned until we wait for the next “big thing”. For others it is central to
teaching. For some it is a confusing term with no clear idea of what it
actually means. And I can sympathise with all of these views…<o:p></o:p></div>
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The idea of “mastery” has been around for a long time.
People much more knowledgeable have written about its provenance, its history
and its progress to the modern day. Neither this blog nor my mathsconf session
will be trying to reinforce or reinterpret any of this. I will not be
attempting to explain the structure of a mastery curriculum (which is not
exclusive to a mathematics curriculum). Better men than me have already done
this, not the least of which is the LaSalle CEO Mark McCourt (if you haven’t
read his blogs on mastery then you must). Saying that, it is important to
understand certain aspects of its structure to understand where I hope my
session fits in.<o:p></o:p></div>
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One of the central aspects of a mastery curriculum is
teaching in a way that <b style="mso-bidi-font-weight: normal;">all pupils</b> can
access from their starting point, and then carefully assessing their
understanding throughout the teaching process. A second is the use of
correctives where the initial teaching isn’t successful – having different ways
of approaching concepts when the first way falls short. The biggest aim of my
session is to try and showcase some of the ways that teachers can approach
this. Starting with what I see as important ideas to consider when thinking
about structuring learning, I then aim to share practical examples of
approaches that could be used either as part of the initial teaching or as a
corrective approach. For those that know me, it won’t be surprising to hear
that much (but not all) of this focuses on the use of representations to reveal
the underlying structure of an idea (given that my book “<span class="MsoHyperlink"><a href="https://www.crownhouse.co.uk/publications/visible-maths">Visible Maths</a></span>”
is entirely concerned with the use of representations and manipulatives to reveal
underlying structure). <o:p></o:p></div>
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As an example, but not one I am using in the session,
consider the “rule” that one negative number divided by another negative number
results in a positive answer. Consider -15 ÷ -3:<o:p></o:p></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg7dY5iRpxMx86xtK2gQEQdU0oK47aHTTSk27oPt2ilaAK1SAmzkZRRU-5OdJviiyLQoqDnie27_M3U5QYHb44-Gmpg1_ka_0gulfKx-Lo05NARPlZSfvrfz7WE27q91WVVZqDxATbhQsk/s1600/-15+%25C3%25B7+-3.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="51" data-original-width="601" height="54" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg7dY5iRpxMx86xtK2gQEQdU0oK47aHTTSk27oPt2ilaAK1SAmzkZRRU-5OdJviiyLQoqDnie27_M3U5QYHb44-Gmpg1_ka_0gulfKx-Lo05NARPlZSfvrfz7WE27q91WVVZqDxATbhQsk/s640/-15+%25C3%25B7+-3.png" width="640" /></a></div>
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One way of representing this is to use double sided
counters; these usually appear with a yellow side (positive) and a red side
(negative). Two different coloured counters can also work, and in fact to model
this calculation we only need to consider negatives so a single colour of
counter will suffice. The image above shows -15, and now we have to think about
how we divide that by -3. One way of thinking about division is to think about
creating groups, so a possible way of looking at this calculation is, “Start
with -15 and create groups of -3.” These groups can be seen below:<o:p></o:p></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhUmWtfR7O5ImieEVySja_0xRG-Sk_mvjUQ-v_B3nkcIuqL91Kaqrly-3BI1r0wYeKXM0Im4ytsi6knBBcH2ZmNTlbhJp7nl4zW0ZeoEOLqaRtnXWoIQayS7C1_VdMMkjcr386g3LS7_M/s1600/-15+%25C3%25B7+-3+%25282%2529.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="188" data-original-width="385" height="193" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhUmWtfR7O5ImieEVySja_0xRG-Sk_mvjUQ-v_B3nkcIuqL91Kaqrly-3BI1r0wYeKXM0Im4ytsi6knBBcH2ZmNTlbhJp7nl4zW0ZeoEOLqaRtnXWoIQayS7C1_VdMMkjcr386g3LS7_M/s400/-15+%25C3%25B7+-3+%25282%2529.png" width="400" /></a></div>
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When we think about division like this, the result of the
division is “How many groups can we create?”. We can see that this process
creates 5 groups, which means that -15 ÷ -3 = 5.<o:p></o:p></div>
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Often this “rule” is taught as an arbitrary rule, without
any attempt to show where it comes from. In many classrooms, one could be
forgiven if kids believed that the only reason this is a “rule” of maths is
because teachers says so. But this rule is a necessary rule – if division works
in the way we know it does then the answer to -15 ÷ -3 cannot be anything but 5.
I finish my session with a discussion around other “rules” of maths, how
appropriate representations can show where these rules actually come from, and
also discuss how we can manage the transition from using
representations/manipulatives to the abstract calculations. Hopefully I have
whetted your appetite to hear more about teaching approaches that can support
mastery in mathematics, and I look forward to seeing you (whether in my session
or not) in Birmingham. Don’t forget to join us for the pre-drinks and
networking the night before as well!</div>
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Peter Mattockhttp://www.blogger.com/profile/10927650959808699047noreply@blogger.com0tag:blogger.com,1999:blog-2500447090923756998.post-33031004940676980832018-09-23T13:44:00.003-07:002018-09-23T13:44:41.652-07:00Relationships in teaching<div dir="ltr" style="text-align: left;" trbidi="on">
The topic of relationships is one that undergoes perpetual discussion between people in education. Just the other day my line manager and I were talking about it. I am sure I saw a recent article appear on twitter about personality screening for teachers (although I now can't find it and the only ones appearing in my search are from 2012). Some teachers even profess to believe in a "teacher gene". Many talk about the "magic" of teachers (including this recent <a href="https://www.tes.com/news/evidence-important-great-teaching-still-art" target="_blank">TES article</a>).<br />
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Now I absolutely believe that relationships are an important, possibly the most important, part of working with young people in the classroom. But this belief raises some interesting questions:<br />
<br />
1) How do you train people to build relationships?<br />
2) To what extent do the systems in schools contribute to or detract from teachers' ability to form relationships? And if teachers struggle to form relationships how much of the responsibility lies with the teacher and how much with the school?<br />
3) Can anyone learn to teach?<br />
4) If there are certain people that are more predisposed to teach, because of some gene or some innate personality traits, then does it make economic sense to train people that don't have the predisposition as they are less likely to become "great" teachers?<br />
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I have trained a fair few teachers in the last 10 years (teaching for more than that but have been involved in training for about that long) and one of the things I learned early on is that you shouldn't train people to teach like you. However good you may be, your job as a teacher trainer is to help that teacher teach as them, not teach like you. This has obvious challenges, particularly when you are have what might be termed a "robust" personality (as mine has been described) and you are working with someone who is a lot more unassuming in their personality. These people, being more introverted, can struggle to form relationships with pupils as they are more unsure of themselves in those myriad of interactions with all the different types of pupils they come across. But does that mean they can't be effective teachers? From my own experience I would say absolutely not, but it can be hard work to give them the confidence to let them be themselves in the classroom, particularly when the "effective" teachers they are often told to go and observe are those more extroverted individuals that seem to hold a classroom through the power of their presence alone.<br />
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I have heard many teachers and leaders say that "if you can't build relationships then no behaviour system can help you". Worse, I have heard many say "the best teachers don't need the behaviour system". I always wince when I hear this, because I always think "what are the behaviour systems for if not to support teachers in building and maintaining relationships?" I know from personal experience that when behaviour systems have been robust, and applied with a measure of consistency across the school, then relationship forming is easier. If kids know that it isn't personal, that when rewards and sanctions are applied they are done so within a clearly defined policy, then it makes it easier to work with them. For this to happen of course, all teachers need to be using them. If the best teachers are not using them, then anyone who does is automatically relegated to a lower status. This tends to be less experienced staff and staff newer to the school who haven't had chance to build those relationships yet, and so this can be a double whammy for those teachers. But is this the teacher's fault for not being "personable" enough to create those relationships, or the school's fault for not setting up their systems to support this in the best way possible?<br />
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The last two of my questions are perhaps the most contentious. As a teacher, I am committed to the idea that any of my pupils can learn what I want them to learn given enough time and good teaching. So my ideals should then naturally stretch to training teachers - any one who wants to teach should be able to learn to teach well given enough time and proper support. Of course the reality is slightly different from the ideal; every year that a teacher is not teaching well then kids suffer and the support given is often by other busy practitioners that have a whole lot more on their plate. But does this mean these teachers can't learn to teach, or that we simply don't have the time and tools to teach them? If there is such a thing as a "teacher gene" then does this mean that some could never be good teachers, or just that they will have to work harder to get there. But if that is the case, I wonder how demoralising that could be for those that are committed to teaching but are told time and time again that they don't quite have "it"?<br />
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This idea of the teacher gene, or better teachers having certainly personality traits, for me has to raise the question about training. Training and maintaining a teacher costs a huge amount of money, particularly in some subjects that attract large bursaries and golden hellos on top of the large pension contributions, CPD costs etc. And this is in a time when teachers are arguably not paid enough (the English starting salary is below the OECD average, as is the top salary attainable and the average hours are the seventh highest). This has to raise questions about value for money in terms of training people to teach that are unlikely to stay in the profession, or who will take a long time to reach a good level of practice if they do. As mentioned the idea of "personality screening" prior to training a teacher has been mooted before; it was actually part of a department for education white paper in 2010 (the same one that limited the number of attempts at the QTS literacy and numeracy tests) and was due to be introduced in September 2012 according to this <a href="https://www.telegraph.co.uk/education/educationnews/9319787/Trainee-teachers-to-be-given-new-personality-checks.html" target="_blank">Telegraph article</a>, although I don't think it ever made it into practice. The idea was referenced again in this 2016 <a href="https://www.theguardian.com/teacher-network/2016/mar/02/can-you-spot-a-good-teacher-from-their-characteristics" target="_blank">Guardian article</a> - with a prediction that scenario-based questions could be used to ascertain details of prospective candidates character and thus screen for those that don't have the necessary "character". I must admit to being sceptical of this - I think that most people who would want to teach would be intelligent enough to identify suitable answers to these sorts of scenarios even if it they don't actually believe it. And of course saying you would act in a certain way when faced with a scenario is completely different to being able to actually pull this off in practice.<br />
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Overall I think it is clear that relationship building is important in education, and an important thing for teachers to be able to do. The big questions arise for the implications of this in terms of teacher training and school systems. And I think we should probably have a decent go at answering them before we say things like "Good teachers always have classes hanging on their every word", "You need a teacher 'presence'" (whatever that is) or "No system can help you if you can't form relationships".</div>
Peter Mattockhttp://www.blogger.com/profile/10927650959808699047noreply@blogger.com0