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Mathematics Teaching 206 - January 2008
Mathematics Teaching is the journal of the Association of Teachers of Mathematics. It is a professional journal sent to all members of the Association. It is not a refereed journal. Submissions are reviewed by the editorial team. Many articles have additional information or associated files placed on the journal website. To make your views known go to the ATM forum add your views, ideas and comments.
Use our Forum to talk about any article
Special Edition: Visualisation
This edition and the previous (MT205) are special issues on visualisation.
In this issue, the paper version has a ‘flicker book’ image in the margin of each page. It is reproduced here as an animated image. Hold down ‘SHIFT’ and click ‘Reload’ or ‘Refresh’ to re-start it.
MT206 Contents
Journey to the centre of a triangle - Margaret Jones
Margaret Jones compares working with a moving film to working with software tools.
Layers of experience using Arms - Laurinda Brown, Alf Coles, Derek Ball, Pat Morton, Matt Coles, Louise Ordman, Barry Orr, Tung Ken Lam
They split their attention between working on the mathematics and paying attention to how it was being worked on by the group.
The ARMS GSP file to accompany this article
Not a member? Join or click to buy ‘Layers of experience using Arms’ for £3
In the usual way... - James Robinson
James Robinson describes using animation with Year 7 and NAGTY students and answers the question: 'How do you use these things anyway?'
The 'SpinLine' PowerPoint file to accompany this article
Not a member? Join or click to buy ‘In the usual way...’ for £3
Kaleidoscope - Geoff Faux
Geoff Faux describes the response of some Year 7 students to looking at kaleidoscopic images.
Kate Mackrell's film to accompany this article
Anna's film to accompany this article
Not a member? Join or click to buy ‘Kaleidoscope’ for £3
Imagining the cardioid - Leo Rogers
When he saw Trevor Fletcher's cardioid film once again, Leo Rogers was vividly reminded of his first experiences of animated mathematics nearly 50 years before.
Geometer's Sketchpad files to accompany this article
Cubism and Cabri - Adrian Oldknow
Adrian Oldknow shows what is possible with Cabri by using it to model some of his holiday snaps from Prague.
A set of Cabri files to accompany this article
Not a member? Join or click to buy ‘Cubism and Cabri’ for £3
Algebra: How is it for you? - Caroline Rickard
Caroline Rickard discusses how an MT article on teaching algebra to infants has influenced her work with student teachers.
Not a member? Join or click to buy ‘Algebra: How is it for you?’ for £3
Pythagoras and four colours - Hasan Unal
Hasan Unal describes a spatial activity based on partitioning a square into four figures and constructing two new squares from them.
Summary and activity sheet to accompany this article
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A model for multiplication - Heather McLeay
Heather McLeay discusses a visual representation to aid the multiplication of fractions.
Deconstructing calculation methods, part 3: Multiplication - Ian Thompson
In the third of a series of four articles, Ian Thompson deconstructs the primary national strategy's approach to written multiplication. The first two articles in this series were published in MT202 and MT204.
Not a member? Join or click to buy ‘Deconstructing calculation methods, part 3: Multiplication’ for £3
Representing multiplication - Tony Harries and Patrick Barmby
Tony Harries and Patrick Barmby explore the use of visual representations, in particular the array, in the teaching of multiplication in the primary school.
A demo version of the Flash file referred to in this article
Not a member? Join or click to buy ‘Representing multiplication’ for £3
Trisecting angles by paper folding - Bob Burn
It is not possible to trisect an arbitrary angle using only ruler and compasses, but it is possible to trisect an arbitrary angle by paper folding.
Playing with a post-it(R) - Nigel Wills
At a conference recently I found myself folding a post-it(R) note.
Sixties week - Ewa Lucas-Gardiner
Whilst I am not exactly an advocate of gimmicks for their own sake, loosely woven into the fabric of a lesson for novelty value, I do value things that make lessons memorable.
Figures on the calculator - Frances Van Dyke and Michael Keynes
Take out your calculator and write down a four-digit number using the vertices of a rectangle or parallelogram formed on the keypad.
Reflections - Lyndon Baker
I cannot resist flicking through for headline-grabbing articles or arresting images before settling down to read.
Letter responding to David Fielker about Geoff Giles' work in MT205 p13-19)
Those problems demand acute visual perception and are also remarkable in being difficult while conceptually elementary. Problems like these must not be lost.
No 14 Correlation Street - Jonny Griffiths
Far be it from me to defend such unkind, discourteous behaviour, but I feel sure that never can stopping for a glass of water have elicited such an impressive response.
Webwatch - Geoff Faux
Geoff Faux offers help to the busy teacher who wants to access some of the vast array of moving image goodies available on the web.
Hod-Lines
The quality of teacher comment was outstanding, leaving the student in no doubt about why some aspect of their work was good. Students were challenged, questioned, encouraged and occasionally admonished.
News from ATM
We have always been big advocates of ATM and how it can enhance our careers since being introduced to the organisation during our teacher training.
Puzzle page
The idea is to work with pictures in your mind. These problems are ideal to do in bed when sleep does not come and there is no paper to hand. Setting them as visualisation problems suggests that the answers may be simple fractions.
