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  1. Mathematics Teaching 300 now available online atm.org.uk/Mathematics-Teachin

    A special edition celebrating 300 issues with a self-referential cover, like MT 150 (en.wikipedia.org/wiki/Droste_e)

    Design by me

    Five free articles for non-members:

    Understanding geometry proof what do students say to AI feedback? atm.org.uk/write/MediaUploads/
    Yuqian (Linda) Wang and Hanmin Song explore whether personalised AI feedback can support students’ understanding of geometry proof tasks.

    An appreciation of Alison Parish (1951–2026) atm.org.uk/write/MediaUploads/

    Can pedagogy for problem solving promote equity in the classroom? atm.org.uk/write/MediaUploads/
    Laura King reflects on pedagogies to support equity in primary mathematics when teaching problem solving

    Number a disinformation timeline atm.org.uk/write/MediaUploads/
    Micheál Ó Dúill traces history and cultures to argue for teaching zero to nine instead of one to ten.

    If it hadn’t been for Dave… atm.org.uk/write/MediaUploads/
    Barbara Binns reflects on Dave Wilson (1947–2026) with contributions from Geoff Faux and Tony Brown.

    #MathematicsTeaching #iTeachMath #MathEd #MathsEd #Math #Mathematics #teaching #pedagogy #didactics #education #design #GraphicDesign #AMiE #MT #MT300 #recursion #DrosteEffect #number

  2. Mathematics Teaching 300 now available online atm.org.uk/Mathematics-Teachin

    A special edition celebrating 300 issues with a self-referential cover, like MT 150 (en.wikipedia.org/wiki/Droste_e)

    Design by me

    Five free articles for non-members:

    Understanding geometry proof what do students say to AI feedback? atm.org.uk/write/MediaUploads/
    Yuqian (Linda) Wang and Hanmin Song explore whether personalised AI feedback can support students’ understanding of geometry proof tasks.

    An appreciation of Alison Parish (1951–2026) atm.org.uk/write/MediaUploads/

    Can pedagogy for problem solving promote equity in the classroom? atm.org.uk/write/MediaUploads/
    Laura King reflects on pedagogies to support equity in primary mathematics when teaching problem solving

    Number a disinformation timeline atm.org.uk/write/MediaUploads/
    Micheál Ó Dúill traces history and cultures to argue for teaching zero to nine instead of one to ten.

    If it hadn’t been for Dave… atm.org.uk/write/MediaUploads/
    Barbara Binns reflects on Dave Wilson (1947–2026) with contributions from Geoff Faux and Tony Brown.

    #MathematicsTeaching #iTeachMath #MathEd #MathsEd #Math #Mathematics #teaching #pedagogy #didactics #education #design #GraphicDesign #AMiE #MT #MT300 #recursion #DrosteEffect #number

  3. N pairs of skis were standing leaning against a wall. Kolobok (spherical gingerbread-man type character of Ukrainian folklore) rolled along and bumped the skis. What's the maximum number of pieces Kolobok got cut into by the skis falling on it? (Skis cut along straight planes.)

  4. N pairs of skis were standing leaning against a wall. Kolobok (spherical gingerbread-man type character of Ukrainian folklore) rolled along and bumped the skis. What's the maximum number of pieces Kolobok got cut into by the skis falling on it? (Skis cut along straight planes.)

    #MathsEd #Mathematics

  5. Mathematics Teaching 299 now available online atm.org.uk/Mathematics-Teachin

    Design by me

    Five free articles for non-members:

    Increasing access for a student teacher with a visual impairment
    Zahara Hussain, Emily Thouless, René Hartmann and Helen Thouless explore Zahara’s experiences as a student with a visual impairment on Core Mathematics modules during an undergraduate primary education course.

    Computational mathematics
    Allen Tsui shares some activities for learners aged 8 to 16 to apply mathematics when learning about programming.

    Introducing Multicolour Maths
    Brook Tate shares his love of mathematical relationships expressed in colour.

    Fixing the mathematics transition from primary to secondary
    Tom Manners suggests some ways of improving the transition from Key Stage 2 to 3.

    Barbara Jaworski (1944–2025)
    Peter Gates, Anne Watson and Dave Hewitt remember Barbara Jaworski’s contribution to mathematics education.

    #MathematicsTeaching #iTeachMath #MathEd #MathsEd #Math #Mathematics #teaching #pedagogy #didactics #education #design #GraphicDesign #AMiE #MT #MT299

  6. Mathematics Teaching 299 now available online atm.org.uk/Mathematics-Teachin

    Design by me

    Five free articles for non-members:

    Increasing access for a student teacher with a visual impairment
    Zahara Hussain, Emily Thouless, René Hartmann and Helen Thouless explore Zahara’s experiences as a student with a visual impairment on Core Mathematics modules during an undergraduate primary education course.

    Computational mathematics
    Allen Tsui shares some activities for learners aged 8 to 16 to apply mathematics when learning about programming.

    Introducing Multicolour Maths
    Brook Tate shares his love of mathematical relationships expressed in colour.

    Fixing the mathematics transition from primary to secondary
    Tom Manners suggests some ways of improving the transition from Key Stage 2 to 3.

    Barbara Jaworski (1944–2025)
    Peter Gates, Anne Watson and Dave Hewitt remember Barbara Jaworski’s contribution to mathematics education.

    #MathematicsTeaching #iTeachMath #MathEd #MathsEd #Math #Mathematics #teaching #pedagogy #didactics #education #design #GraphicDesign #AMiE #MT #MT299

  7. 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

  8. 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

  9. 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 atm.org.uk/write/MediaUploads/

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

  10. 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 atm.org.uk/write/MediaUploads/

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

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

    These articles are also available to non-members

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

    ATM and AMiE atm.org.uk/write/MediaUploads/
    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 atm.org.uk/write/MediaUploads/
    Andy Kemp and current trustees of the MA reflect on the MA’s legacy and potential contribution to AMiE.

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

    NANAMIC and AMiE atm.org.uk/write/MediaUploads/
    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

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

    These articles are also available to non-members

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

    ATM and AMiE atm.org.uk/write/MediaUploads/
    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 atm.org.uk/write/MediaUploads/
    Andy Kemp and current trustees of the MA reflect on the MA’s legacy and potential contribution to AMiE.

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

    NANAMIC and AMiE atm.org.uk/write/MediaUploads/
    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

  13. Mathematics Teaching 298 now available online atm.org.uk/Mathematics-Teachin

    Design by me

    Free articles for non-members:

    For the classroom: seasonal mathematics atm.org.uk/write/MediaUploads/
    Sue Pope shares some personal favourites.

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

    Remembering Paul Stephenson atm.org.uk/write/MediaUploads/
    Sue Pope remembers Paul Stephenson (1947–2025).

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

    Book review: Make Your Own Rainbow atm.org.uk/write/MediaUploads/
    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

  14. Mathematics Teaching 298 now available online atm.org.uk/Mathematics-Teachin

    Design by me

    Free articles for non-members:

    For the classroom: seasonal mathematics atm.org.uk/write/MediaUploads/
    Sue Pope shares some personal favourites.

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

    Remembering Paul Stephenson atm.org.uk/write/MediaUploads/
    Sue Pope remembers Paul Stephenson (1947–2025).

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

    Book review: Make Your Own Rainbow atm.org.uk/write/MediaUploads/
    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

  15. @SmartmanApps
    Skemp was writing about England in the 1970s.

    However, even today, are all learners in all the world’s schools taught the reasons for all the rules, and use constructivist learning?

    I’m not sure in fact that instrumental cf. relational understanding are direct analogies of rote cf. constructivist learning.

    Perhaps a relevant analogy is atomised cf. connectionist learning, e.g. ‘Alternatives to atomisation’ by Colin Foster (2025), Mathematics Teaching 295 foster77.co.uk/Foster,%20Mathe and Teaching to Big Ideas youcubed.org/resource/teaching

    #mathematics #education #iTeachMath #MathematicsEducation #MathEd #MathsEd

  16. @SmartmanApps
    Skemp was writing about England in the 1970s.

    However, even today, are all learners in all the world’s schools taught the reasons for all the rules, and use constructivist learning?

    I’m not sure in fact that instrumental cf. relational understanding are direct analogies of rote cf. constructivist learning.

    Perhaps a relevant analogy is atomised cf. connectionist learning, e.g. ‘Alternatives to atomisation’ by Colin Foster (2025), Mathematics Teaching 295 foster77.co.uk/Foster,%20Mathe and Teaching to Big Ideas youcubed.org/resource/teaching

    #mathematics #education #iTeachMath #MathematicsEducation #MathEd #MathsEd

  17. @SmartmanApps
    It's worth read Skemp's articles as he describes the advantages of Instrumental Understanding as well as Relational Understanding.

    Here's a link to the version published in The Arithmetic Teacher, 1978 teamone.msuurbanstem.org/wp-co

    This work has been built on by others, including Jo Boaler.

    #mathematics #ITeachMath #MathematicsEducation #MathEd #MathsEd

  18. @SmartmanApps
    It's worth read Skemp's articles as he describes the advantages of Instrumental Understanding as well as Relational Understanding.

    Here's a link to the version published in The Arithmetic Teacher, 1978 teamone.msuurbanstem.org/wp-co

    This work has been built on by others, including Jo Boaler.

    #mathematics #ITeachMath #MathematicsEducation #MathEd #MathsEd

  19. @leon_p_smith
    A puzzle from Seymour Papert's Mindstorms:

    "A monkey and a rock are attached to opposite ends of a rope that is hung over a pulley. The monkey and the rock are of equal weight and balance one another. The monkey begins to climb the rope. What happens to the rock?"

    What is your reasoning and what were your assumptions? If you know the answer, what was your first answer?

    #puzzle #MathEd #MathsEd #iTeachMath #physics #mechanics

  20. @leon_p_smith
    A puzzle from Seymour Papert's Mindstorms:

    "A monkey and a rock are attached to opposite ends of a rope that is hung over a pulley. The monkey and the rock are of equal weight and balance one another. The monkey begins to climb the rope. What happens to the rock?"

    What is your reasoning and what were your assumptions? If you know the answer, what was your first answer?

    #puzzle #MathEd #MathsEd #iTeachMath #physics #mechanics

  21. @leon_p_smith
    ‘Mindstorms’ is full of quotable text, here’s just one:

    “Imagine that children were forced to spend an hour a day drawing dance steps on squared paper and had to pass tests in these ‘dance facts’ before they were allowed to dance physically. Would we not expect the world to be full of ‘dancophobes’?Would we say that those who made it to the dance floor and music had the greatest ‘aptitude for dance’? In my view, it is no more appropriate to draw conclusions about mathematical aptitude from children’s unwillingness to spend many hundreds of hours doing sums.” — Seymour Papert (p. 43)

    #mathematics #ITeachMath #MathematicsEducation #MathEd #MathsEd #SeymourPapert #Mindstorms

  22. @leon_p_smith
    ‘Mindstorms’ is full of quotable text, here’s just one:

    “Imagine that children were forced to spend an hour a day drawing dance steps on squared paper and had to pass tests in these ‘dance facts’ before they were allowed to dance physically. Would we not expect the world to be full of ‘dancophobes’?Would we say that those who made it to the dance floor and music had the greatest ‘aptitude for dance’? In my view, it is no more appropriate to draw conclusions about mathematical aptitude from children’s unwillingness to spend many hundreds of hours doing sums.” — Seymour Papert (p. 43)

    #mathematics #ITeachMath #MathematicsEducation #MathEd #MathsEd #SeymourPapert #Mindstorms

  23. @leon_p_smith
    Yes, I think programming can be a good way to learn mathematics (and more).

    Seymour Papert wrote about this in Mindstorms (1980).

    I was fortunate to learn Logo and turtle programming on a modest home computer in my early teens. I don't know which was cause and which was effect, but I still like geometry and programming today.

    For those not familiar with Mindstorms, a good summary is at
    medium.com/bits-and-behavior/m

    #mathematics #programming #Logo #TurtleGraphics #ITeachMath #MathematicsEducation #MathEd #MathsEd #SeymourPapert #Mindstorms

  24. @leon_p_smith
    Yes, I think programming can be a good way to learn mathematics (and more).

    Seymour Papert wrote about this in Mindstorms (1980).

    I was fortunate to learn Logo and turtle programming on a modest home computer in my early teens. I don't know which was cause and which was effect, but I still like geometry and programming today.

    For those not familiar with Mindstorms, a good summary is at
    medium.com/bits-and-behavior/m

    #mathematics #programming #Logo #TurtleGraphics #ITeachMath #MathematicsEducation #MathEd #MathsEd #SeymourPapert #Mindstorms

  25. Now suggestions for curious and interesting ‘Mathematics’. This means strange facts, anecdotes, paradoxes, portraits of eccentric mathematicians, mathematical philosophy, quotes and mathematics education.

    “The only way to learn mathematics is to do mathematics.” – Paul R. Halmos

    “Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.” – William Paul Thurston

    “The most exciting phrase to hear in science, the one that heralds new discoveries, is not ‘Eureka!’ but ‘That’s funny…’” — Isaac Asimov

    “I used to think that maths teachers were all teaching the same subject, some doing it better than others. I now believe that there are *two effectively different subjects being taught under the same name, ‘mathematics’.*’

    ...‘relational understanding’ [means]… knowing both what to do and why. Instrumental understanding I would until recently not have regarded as understanding at all. It is what I have in the past described as ‘rules without reasons’, without realising that for many pupils *and their teachers* the possession of such a rule, and ability to use it, was what they meant by ‘understanding’.” Richard Skemp (atm.org.uk/write/MediaUploads/)

    #mathematics #MathEd #MathsEd #iTeachMath #iTeachMaths #education #AskFedi #books #quote #quotes

  26. Now suggestions for curious and interesting ‘Mathematics’. This means strange facts, anecdotes, paradoxes, portraits of eccentric mathematicians, mathematical philosophy, quotes and mathematics education.

    “The only way to learn mathematics is to do mathematics.” – Paul R. Halmos

    “Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.” – William Paul Thurston

    “The most exciting phrase to hear in science, the one that heralds new discoveries, is not ‘Eureka!’ but ‘That’s funny…’” — Isaac Asimov

    “I used to think that maths teachers were all teaching the same subject, some doing it better than others. I now believe that there are *two effectively different subjects being taught under the same name, ‘mathematics’.*’

    ...‘relational understanding’ [means]… knowing both what to do and why. Instrumental understanding I would until recently not have regarded as understanding at all. It is what I have in the past described as ‘rules without reasons’, without realising that for many pupils *and their teachers* the possession of such a rule, and ability to use it, was what they meant by ‘understanding’.” Richard Skemp (atm.org.uk/write/MediaUploads/)

    #mathematics #MathEd #MathsEd #iTeachMath #iTeachMaths #education #AskFedi #books #quote #quotes

  27. The first two episodes of MT Talk discuss articles from Mathematics Teaching 296 atm.org.uk/MT-Talk

    Episode 1
    Elizabeth Bridgett, Lisa Coe and Jay Timotheus compare and contrast Mike Askew's 1999 article, ‘Teaching numeracy: will we ever learn?’ from MT168 with Jane Hawkins' much more recent, 2025 article, ‘Why purposeful talk in mathematics lessons matters’ in MT296.

    Also mentioned in this episode is the 1999 paper ‘Arbitrary and Necessary Part 1: A Way of Viewing the Mathematics Curriculum’, Dave Hewitt's first in a three-part series in For the Learning of Mathematics, as well as Mike Askew’s book, ‘Transforming Primary Mathematics’, published by Routledge in 2011.

    Episode 2
    Lisa Coe, Fin McLaughlin and Jay Timotheus talk about John Mason's 1987 article, ‘Only awareness is educable’ from MT120, alongside Tom Francome's 2025 article, ‘Everyone can think mathematically’ from MT296.

    Fin recommended two books: ‘Thinking Mathematically’, by John Mason, Leone Burton and Kaye Stacey (Pearson, 1982, and 2010) and ‘Researching Your Own Practice: The Discipline of Noticing’, by John Mason (Routledge, 2001).

    podcasts.apple.com/us/podcast/
    open.spotify.com/show/3cJF2EXK

    #podcast #ITeachMath #MathematicsEducation #MathEd #MathEdChat #MathsEd #MathsEdChat
    #education #mathematics #math #didactics #pedagogy

  28. The first two episodes of MT Talk discuss articles from Mathematics Teaching 296 atm.org.uk/MT-Talk

    Episode 1
    Elizabeth Bridgett, Lisa Coe and Jay Timotheus compare and contrast Mike Askew's 1999 article, ‘Teaching numeracy: will we ever learn?’ from MT168 with Jane Hawkins' much more recent, 2025 article, ‘Why purposeful talk in mathematics lessons matters’ in MT296.

    Also mentioned in this episode is the 1999 paper ‘Arbitrary and Necessary Part 1: A Way of Viewing the Mathematics Curriculum’, Dave Hewitt's first in a three-part series in For the Learning of Mathematics, as well as Mike Askew’s book, ‘Transforming Primary Mathematics’, published by Routledge in 2011.

    Episode 2
    Lisa Coe, Fin McLaughlin and Jay Timotheus talk about John Mason's 1987 article, ‘Only awareness is educable’ from MT120, alongside Tom Francome's 2025 article, ‘Everyone can think mathematically’ from MT296.

    Fin recommended two books: ‘Thinking Mathematically’, by John Mason, Leone Burton and Kaye Stacey (Pearson, 1982, and 2010) and ‘Researching Your Own Practice: The Discipline of Noticing’, by John Mason (Routledge, 2001).

    podcasts.apple.com/us/podcast/
    open.spotify.com/show/3cJF2EXK

    #podcast #ITeachMath #MathematicsEducation #MathEd #MathEdChat #MathsEd #MathsEdChat
    #education #mathematics #math #didactics #pedagogy

  29. For people who like to explain maths:

    Suppose you have a struggling student, and you need to explain why:

    "Probability of one in five"

    ... is the same as ...

    "Odds of one to four".

    How would you do that?

    #MathEd #MathEdChat #MTBoS
    #MathsEd #MathsEdChat

    Other HashTags?

  30. For people who like to explain maths:

    Suppose you have a struggling student, and you need to explain why:

    "Probability of one in five"

    ... is the same as ...

    "Odds of one to four".

    How would you do that?

    #MathEd #MathEdChat #MTBoS
    #MathsEd #MathsEdChat

    Other HashTags?

  31. Mathematics Teaching 297 now available online atm.org.uk/Mathematics-Teachin

    Design by me

    Six free articles for non-members:

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

    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
    atm.org.uk/write/MediaUploads/

    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.
    atm.org.uk/write/MediaUploads/

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

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

    I want to remember...
    In memory of Julian Williams by Laya Hooshyari.
    atm.org.uk/write/MediaUploads/

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

  32. Mathematics Teaching 297 now available online atm.org.uk/Mathematics-Teachin

    Design by me

    Six free articles for non-members:

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

    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
    atm.org.uk/write/MediaUploads/

    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.
    atm.org.uk/write/MediaUploads/

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

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

    I want to remember...
    In memory of Julian Williams by Laya Hooshyari.
    atm.org.uk/write/MediaUploads/

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

  33. Mathematics Teaching 296 now available online atm.org.uk/Mathematics-Teachin

    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.
    atm.org.uk/write/MediaUploads/

    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)
    atm.org.uk/write/MediaUploads/

    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.
    atm.org.uk/write/MediaUploads/

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

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

  34. Mathematics Teaching 296 now available online atm.org.uk/Mathematics-Teachin

    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.
    atm.org.uk/write/MediaUploads/

    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)
    atm.org.uk/write/MediaUploads/

    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.
    atm.org.uk/write/MediaUploads/

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

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

  35. I've been thinking about this for ages, but never had the time to craft the words around it.

    People keep saying that "Maths should be fun" ... and I push back with "It should be engaging ... 'fun' is a different thing.

    So @rakhichawla has posted pretty much exactly this, but better than I ever could.

    I'm copying it here with permission.

    Please read this, then as it says at the end ... let's have a deeper conversation about this ...

    1/n

    (PS: I'd love this to get boosted to get outside my bubble ... you're all amazing, but there will be other opinions, and other thoughts that could be helpful or valuable)

    Hashtags: #MathEd #MathsEd #MathEdChat #MathsEdChat #MathChat #MathsChat #MTBoS #TMWYK

  36. I've been thinking about this for ages, but never had the time to craft the words around it.

    People keep saying that "Maths should be fun" ... and I push back with "It should be engaging ... 'fun' is a different thing.

    So @rakhichawla has posted pretty much exactly this, but better than I ever could.

    I'm copying it here with permission.

    Please read this, then as it says at the end ... let's have a deeper conversation about this ...

    1/n

    (PS: I'd love this to get boosted to get outside my bubble ... you're all amazing, but there will be other opinions, and other thoughts that could be helpful or valuable)

    Hashtags: #MathEd #MathsEd #MathEdChat #MathsEdChat #MathChat #MathsChat #MTBoS #TMWYK

  37. Fermat conjectured that for \(n\) a non-negative integer, all numbers of the form \(2^{2^n}+1\) are prime.

    Was there ever a worse conjecture in maths than that?

    #Maths #Math
    #MathsEd #MathEd
    #MathsChat #MathChat
    #Fermat #Conjecture
    #Primes #FermatPrimes

  38. Fermat conjectured that for \(n\) a non-negative integer, all numbers of the form \(2^{2^n}+1\) are prime.

    Was there ever a worse conjecture in maths than that?

    #Maths #Math
    #MathsEd #MathEd
    #MathsChat #MathChat
    #Fermat #Conjecture
    #Primes #FermatPrimes

  39. Some time ago ... (A month!) ... there was a thread on Twitter that I think should be shared here. I've been trying to extract and post it semi-automatically, but Twitter just makes it damn near impossible.

    So I'm copying it "by hand"

    Here's a chart of the full conversation:

    solipsys.co.uk/Chartter/185675

    Here's the head of the conversation:

    x.com/TweetingCynical/status/1


    #MTBoS #TMWYK
    #MathChat #MathsChat
    #MathEd #MathEdChat
    #MathsEd #MathsEdChat

    I will occasionally update the chart of *this* conversation, and it will be here:

    solipsys.co.uk/Chartodon/Teach

    Here is the content ...

  40. Some time ago ... (A month!) ... there was a thread on Twitter that I think should be shared here. I've been trying to extract and post it semi-automatically, but Twitter just makes it damn near impossible.

    So I'm copying it "by hand"

    Here's a chart of the full conversation:

    solipsys.co.uk/Chartter/185675

    Here's the head of the conversation:

    x.com/TweetingCynical/status/1


    #MTBoS #TMWYK
    #MathChat #MathsChat
    #MathEd #MathEdChat
    #MathsEd #MathsEdChat

    I will occasionally update the chart of *this* conversation, and it will be here:

    solipsys.co.uk/Chartodon/Teach

    Here is the content ...

  41. I'm going to see the Art of the Brick #exhibition today!

    I'm a bit of a #Lego fan, but it always reminds me of one of the years we (at Bletchley Park) won "Best Venue for #Mathematics #Learning" at the School Travel Awards. To my knowledge we won it every year it existed, and it disappeared as a category after three goes. Each time we won I looked up the runners-up to see what the competition were doing (in the spirit of "steal, steal, steal; but steal from the best"), but each time I never really discovered anything that I'd consider genuinely mathematical (so no wonder the category disappeared).

    One year, Legoland Windsor were a runner-up and, as far as I could tell their 'mathematics' offer was using bricks as a disappointingly abstract prompt to practise memorisation of times tables.

    We can do better than this in the #heritage sector - some already do - but we need to make engaging with mathematics a _normal_, everyday thing that #museums, #galleries, #archives and #libraries do, and not just through their formal learning programmes.

    The maths provision in the formal learning programme at Bletchley Park was excellent, but there's no way we should have been such a standout winner in that category every time it ran.

    I'm always excited to hear about maths being explored by museums, whether it's part of school trips or (and this is the dream) in its exhibitions.

    Some relevant links:
    - Art of the Brick: theartofthebrickexpo.com/londo
    - School Travel Awards: schooltravelorganiser.com/scho

    #MuseumEd #GLAMEd #MathsEd

  42. I'm going to see the Art of the Brick #exhibition today!

    I'm a bit of a #Lego fan, but it always reminds me of one of the years we (at Bletchley Park) won "Best Venue for #Mathematics #Learning" at the School Travel Awards. To my knowledge we won it every year it existed, and it disappeared as a category after three goes. Each time we won I looked up the runners-up to see what the competition were doing (in the spirit of "steal, steal, steal; but steal from the best"), but each time I never really discovered anything that I'd consider genuinely mathematical (so no wonder the category disappeared).

    One year, Legoland Windsor were a runner-up and, as far as I could tell their 'mathematics' offer was using bricks as a disappointingly abstract prompt to practise memorisation of times tables.

    We can do better than this in the #heritage sector - some already do - but we need to make engaging with mathematics a _normal_, everyday thing that #museums, #galleries, #archives and #libraries do, and not just through their formal learning programmes.

    The maths provision in the formal learning programme at Bletchley Park was excellent, but there's no way we should have been such a standout winner in that category every time it ran.

    I'm always excited to hear about maths being explored by museums, whether it's part of school trips or (and this is the dream) in its exhibitions.

    Some relevant links:
    - Art of the Brick: theartofthebrickexpo.com/londo
    - School Travel Awards: schooltravelorganiser.com/scho

    #MuseumEd #GLAMEd #MathsEd