Mathematics Teaching 205 - November 2007
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Special edition
This and the next (MT206) 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.
Working with moving images
Visualising geometry - Barbara Ball and Derek Ball
As a result of attending the weekend on moving images, Barbara and Derek Ball consider the balance between visualising and verbalising.
The Trevor Fletcher Cardioid film referred to in this article
Canonical images - Dave Hewitt
Dave Hewitt offers two well-known mathematical images and considers their power for developing mathematical thinking.
A Geometer's Sketchpad file [.gsp] for the Rotating Dot
Making animations - James RobinsonBuy MT2052023 for £3
James Robinson describes as simply as possible how to make an animation using PowerPoint.
Powerpoint file [.ppt] and FAQ document [PDF] to accompany this article
Steiner's amazing porism - Trevor FletcherBuy MT2052629 for £3
Trevor Fletcher played with an animation of circles and found some surprises.
View a Cinderella version of the Steiner Porism
Download a Cabri file [.fig] of the Steiner Porism
Using moving images with Year 2 - Geoff FauxBuy MT2053030 for £3
Geoff Faux uses James Robinson’s PowerPoint film Slideshapes1 to generate some mathematical thinking with 7-year-olds.
Yes, but can they solve right-angled triangles? - John HancockBuy MT2053941 for £3
John Hancock works with all-ability Y8 students using a well-known moving image. He accepts it is hard work for the teacher but thinks it might be worth the effort!
The method of Jean Louis Nicolet - Caleb GattegnoBuy MT2054243 for £3
J L Nicolet is a Swiss teacher of mathematics who found his subject so fascinating that he was puzzled as to why so many pupils could not share this enjoyment in their studies.
The Nicolet film referred to in this article
Images: static, dynamic and mental - John MasonBuy MT2054445 for £3
John Mason discusses some pedagogical issues to do with working on images with learners.
Centre feature
TruncationBuy MT2052425 for £3
The ideas on this page were stimulated by working with a Geometer's Sketchpad file designed by Kate Mackrell.
Geometer's Sketchpad files [.gsp] for the Octa-, Hexa-, Icosa- and Dodecahedron
In the classroom
Geoff Giles and Geometry - David FielkerBuy MT2051319 for £3
Geoff Giles died suddenly in 2005. Thanks to a donation from his widow, Bet Sampson, Geoff Faux and David Fielker were asked to run seminars at the 2007 Easter conference in his memory. David Fielker describes his here.
Linkages to op-art - John SharpBuy MT2053538 for £3
John Sharp explores the mathematics of mechanical linkages and turns the results into art.
Shorts
The Cuisenaire product finder - Paul Stephenson
Misunderstanding of fractions! - Caroline Rickard
Line multiplication: a response to Colin Foster (MT203) - Marion Walter
A cautionary tale - Wendy Brady
Regular features
Reflections - Geoff Faux
Some of us, Derek Ball counted 40, spent a weekend over the early May bank holiday this year [2007] working on visualisation in mathematics.
Webwatch
13 Correlation Street - Jonny Griffiths
News from ATM
Hod-Lines
Puzzle page
Film of the dissection of a polyomino
Film of the Sections of a Cube
An XML file for Geogebra that provides a hint
See also
- MT Home Page
- MT Archive
- Coming Up in MT
- Letters to the Editor
- Webwatch
- Contributing to MT
- Advertising
- Micromath
- Primary Subjects
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