Ron Gwairown always writes numbers down back to front. At school, he was once asked to do the following calculation:
14 x 82
In his exercise book Ron wrote down:
41 x 28
1. What answer did he get?
2. What answer should he have got?
3. Investigate other pairs of calculations of this type? What can you discover?
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Topics: Starter  Arithmetic  Investigations  Place Value
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66 x 22 66 x 33 66 x 44 66 x 55 66 x 66 66 x 77 66 x 88 66 x 99 67 x 76 68 x 43 68 x 86 69 x 32 69 x 64 69 x 96 71 x 17 72 x 27 73 x 37 74 x 47 75 x 57 76 x 67 77 x 11 77 x 22 77 x 33 77 x 44 77 x 55 77 x 66 77 x 77 77 x 88 77 x 99 78 x 87 79 x 97 81 x 18 82 x 14 82 x 28 83 x 38 84 x 12 84 x 24 84 x 36 84 x 48 85 x 58 86 x 34 86 x 68 87 x 78 88 x 11 88 x 22 
88 x 33 88 x 44 88 x 55 88 x 66 88 x 77 88 x 88 88 x 99 89 x 98 91 x 19 92 x 29 93 x 13 93 x 26 93 x 39 94 x 49 95 x 59 96 x 23 96 x 46 96 x 69 97 x 79 98 x 89 99 x 11 99 x 22 99 x 33 99 x 44 99 x 55 99 x 66 99 x 77 99 x 88 99 x 99 
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Have you read Craig's book yet?Craig Barton must surely be the voice of Mathematics teachers in the UK. His wonderful podcasts interviewing the industry experts have culminated in this wonderful book. As Craig says: "I genuinely believe I have never taught mathematics better, and my students have never learned more. I just wish I had known all of this twelve years ago..." more... "How I wish I’d taught maths' is an extraordinary and important book. Part guide to research, part memoir, part survival handbook, it’s a wonderfully accessible guide to the latest research on teaching mathematics, presented in a disarmingly honest and readable way. I know of no other book that presents as much usable research evidence on the dos and don’ts of mathematics teaching in such a clear and practical way. No matter how long you have been doing it, if you teach mathematics—from primary school to university—this book is for you." Dylan Wiliam, Emeritus Professor of Educational Assessment, UCL. 
Casio Classwiz CalculatorThere is currently a lot of talk about this new calculator being the best in its price range for use in the Maths classroom. The new ClassWiz features a highresolution display making it easier to view numerical formulas and symbols but it isn't a graphical calculator as such (it has the capacity to draw graphs on your smart phone or tablet, via a scannable QR code and an app). As well as basic spreadsheet mode and an equation solving feature you also get the ability to solve quadratic, cubic or quartic polynomial inequalities and the answer is given just as it should be written down, using the correct inequality symbols! This calculator has a highperformance processor and twice the memory of previous models ensuring speedy operation and superior computational power.more... 
Texas Instruments Nspire CalculatorThis handheld device and companion software are designed to generate opportunities for classroom exploration and to promote greater understanding of core concepts in the mathematics and science classroom. TINspire technology has been developed through sound classroom research which shows that "linked multiple representation are crucial in development of conceptual understanding and it is feasible only through use of a technology such as TINspire, which provides simultaneous, dynamically linked representations of graphs, equations, data, and verbal explanations, such that a change in one representation is immediately reflected in the others. For the young people in your life it is a great investment. Bought as a gift for a special occasion but useful for many years to come as the young person turns into an Alevel candidate then works their way through university. more... 
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