Mastodawn

Ian Stewart’s (2005) book Game, Set and Math includes 12 puzzles linked to the 12 days of Christmas. A favourite is Five Gold Rings. The five gold rings are arranged to maximise the overlaps. At every overlap there is a diamond. You have diamonds of 1, 2, 3, 4, 5, 6, ... carats. Arrange the diamonds so the total number of carats on each ring is the same.

Try starting small—just two rings, two overlaps and each ring has a total of three carats (1 + 2). Now three rings, there are six overlaps, arrange diamonds of 1, 2, 3, 4, 5 and 6 carats so each ring has the same total.

#MathematicsTeaching #iTeachMath #MathEd #MathsEd #Math #Mathematics #puzzle #teaching #pedagogy #didactics #education #design #GraphicDesign #atm #MT #MT298 #xmas #christmas

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foldworks Dec 11

Seasonal Values
Each of the symbols in the grid has a value. From the totals given for each row and each column can you work out what they are?

The eight symbols have values 1 to 8 and each has the same value wherever it appears.

An excerpt from the freely-available https://atm.org.uk/write/MediaUploads/Journals/MT298/08.pdf

#MathematicsTeaching #iTeachMath #MathEd #MathsEd #Math #Mathematics #puzzle #teaching #pedagogy #didactics #education #design #GraphicDesign #atm #MT #MT298

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foldworks Dec 11

The Association for Mathematics in Education launched on 1 December 2025 https://amie.org.uk/

These articles are also available to non-members

AMET and AMiE https://atm.org.uk/write/MediaUploads/Journals/MT298/11.pdf
Sally Bamber and Ashley Compton, with current AMET committee members reflect on AMET’s legacy and potential contribution to AMiE.

ATM and AMiE https://atm.org.uk/write/MediaUploads/Journals/MT298/12.pdf
Helen Madeley on behalf of General Council reflects on ATM’s legacy and the potential contribution to AMiE.

From the MA to AMiE: celebrating a legacy, forging a stronger future https://atm.org.uk/write/MediaUploads/Journals/MT298/13.pdf
Andy Kemp and current trustees of the MA reflect on the MA’s legacy and potential contribution to AMiE.

NAMA and AMiE https://atm.org.uk/write/MediaUploads/Journals/MT298/14.pdf
Ruth Trundley and the current executive committee of NAMA reflect on NAMA’s legacy and potential contribution to AMiE. Ruth Trundley

NANAMIC and AMiE https://atm.org.uk/write/MediaUploads/Journals/MT298/15.pdf
John Barton and current trustees of NANAMIC reflect on NANAMIC’s legacy and potential contribution to AMiE.

#MathematicsTeaching #iTeachMath #MathEd #MathsEd #Math #Mathematics #teaching #pedagogy #didactics #education #atm #amie #MT #MT298

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foldworks Dec 11

Mathematics Teaching 298 now available online https://atm.org.uk/Mathematics-Teaching-Journal-Archive/177733

Design by me

Free articles for non-members:

For the classroom: seasonal mathematics https://atm.org.uk/write/MediaUploads/Journals/MT298/08.pdf
Sue Pope shares some personal favourites.

When can things be added together? Tom Francome and Colin Foster https://atm.org.uk/write/MediaUploads/Journals/MT298/07.pdf
Tom Francome and Colin Foster find that simple addition is not as simple as it might seem.

Remembering Paul Stephenson https://atm.org.uk/write/MediaUploads/Journals/MT298/17.pdf
Sue Pope remembers Paul Stephenson (1947–2025).

Book review: Descent into Infinity Heather Odell https://atm.org.uk/write/MediaUploads/Journals/MT298/18.pdf
Heather Odell reviews an adventure story with some mathematics, Edward Cookson’s ‘Descent into Infinity’.

Book review: Make Your Own Rainbow https://atm.org.uk/write/MediaUploads/Journals/MT298/19.pdf
Alan Cross reviews ‘Make Your Own Rainbow: a colourful approach to all things STEAM’ by Leonie Briggs from Crown House Publishing.

#MathematicsTeaching #iTeachMath #MathEd #MathsEd #Math #Mathematics #teaching #pedagogy #didactics #education #design #GraphicDesign #atm #amie #MT #MT298

zvavybir

Dec 2

I just had an argument with someone I need your help in settling: When (in which grade) does one normal learn about negative numbers (i.e. -1, -2, -3, …), roughly (± a grade or however precise you can answer).

#mathematics #mathematicsTeaching

1. grade

2. grade

25%

3. grade

25%

4. grade

25%

5. grade

6. grade

7. grade

8. grade

9. grade

10. grade

11. grade

12. grade

Never/Later

Before 1. grade

25%

Other

Question malformed

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Poll ended at Dec 3 at 8:05pm.

foldworks Oct 19

FotoVorschlag Tradition / Brauchtum
A Fröbel star made from 2 cm wide strips of red and white paper.

These are not common in the UK but are a Christmas tradition in some parts of Europe https://en.wikipedia.org/wiki/Froebel_star In fact, some retailers sell pre-cut paper strips ready to fold. I cut 2 cm strips from A4 paper and each of the four long strips is made from two strips taped together (inside the first fold).

I’ve failed to make these in the past because I could not understand the instructions 😅

This is part of some seasonal mathematics for the next issue of Mathematics Teaching.

#FotoVorschlag #photography #christmas #origami #craft #PaperCraft #MathArt #geometry #MT #MathematicsTeaching #MT298

foldworks Sep 5

Mathematics Teaching 297 now available online https://atm.org.uk/Mathematics-Teaching-Journal-Archive/177732

Design by me

Six free articles for non-members:

For the classroom: fractions
Tom Francome offers activities from LUMEN (Loughborough University Mathematics Education Network https://www.lboro.ac.uk/lumen).
https://atm.org.uk/write/MediaUploads/Journals/MT297/08.pdf

Critical mathematics education student teachers’ perspectives
Manjinder K. Jagdev and her student teachers reflect on their experiences of developing critical mathematics education and social justice themes in initial teacher education courses
https://atm.org.uk/write/MediaUploads/Journals/MT297/10.pdf

Awareness of the division of fractions keep your flipping change to yourself!
Sam Brace describes a unit of work that uses learners’ powers of the mind to understand the division of fractions.
https://atm.org.uk/write/MediaUploads/Journals/MT297/11.pdf

Jan Potworowski the quest to humanise mathematics education
George Knights and Lyndon Baker have prepared this tribute to Jan Potworowski.
https://atm.org.uk/write/MediaUploads/Journals/MT297/13.pdf

Julian Williams teacher researcher theorist. 1954–2025
Geoff Wake and Laura Black celebrate Julian Williams’s contribution to mathematics Education.
https://atm.org.uk/write/MediaUploads/Journals/MT297/14.pdf

I want to remember...
In memory of Julian Williams by Laya Hooshyari.
https://atm.org.uk/write/MediaUploads/Journals/MT297/15.pdf

#MathematicsTeaching #iTeachMath #MathEd #MathsEd #Math #Mathematics #teaching #pedagogy #didactics #education #design #GraphicDesign #atm #MT #MT297

foldworks Jun 7, 2025

Mathematics Teaching 296 now available online https://atm.org.uk/Mathematics-Teaching-Journal-Archive/177731

Design and cover photographs by me

Four free articles for non-members:

Everyone can think mathematically by Tom Francome
Tom Francome explores ways of developing the mathematical thinking of all students, including low attainers.
https://atm.org.uk/write/MediaUploads/Journals/MT296/02.pdf

Book review Learning with AI by Ian Benson
Ian Benson reviews 'Learning with AI' by Joan Monahan Watson published by Johns Hopkins University Press (296 pages, $24.95)
https://atm.org.uk/write/MediaUploads/Journals/MT296/14.pdf

Book review Breaking images by Pete Wright
Pete Wright reviews ‘Breaking images: Iconoclastic analyses of mathematics and its education’, edited by Brian Greer, David Kollosche, and Ole Skovsmose.
https://atm.org.uk/write/MediaUploads/Journals/MT296/15.pdf

Ole Skovsmose—the man who put the critique in critical mathematics education by Peter Gates
Peter Gates has collated this obituary for Ole Skovmose.
https://atm.org.uk/write/MediaUploads/Journals/MT296/16.pdf

#MathematicsTeaching #iTeachMath #MathEd #MathsEd #Math #Mathematics #education #design #GraphicDesign #atm #MT #MT296 #photography