math

15/03 - 10/04 : naissance d'un théorème #math

Entering my 53rd year. 53 is the 16th prime, and is also the number of bits used for the significand in IEEE 754 double-precision (binary64) numbers.

#birthday #math #ComputerScience

> #Physics is to #math what #sex is to #masturbation.
- Richard #Feynman

I don't remember if I've posted about this before, but I really like the Pilot Precise V5 RT pen for writing math. MUJI 0.38 mm gel pens are a close second among the ones I've paid attention to the name of.

I may go off about chalk someday, since I have strong opinions about it apparently.

#math #pen

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

#math #H2

Polydron special offer: Use code ATM10 for 10% off your Polydron order (offer ends 30 September 2025)
https://www.polydron.co.uk/shop.html

#coupons #coupon #discounts #polydron #offer #geometry #MathematicsTeaching #atm #MT #MT295 #iTeachMath #MathEd #Math #Education

‘Exploring triangles at the Institute of Mathematics Pedagogy (IMP)’
Tandi Clausen-May reflects on an exploration of 3D shapes made from triangles.

https://atm.org.uk/write/MediaUploads/Journals/MT295/03.pdf

One of the two free articles from Mathematics Teaching 295 for non-members.
#geometry #triangle #helix #polydron #MathematicsTeaching #atm #MT #MT295 #iTeachMath #MathEd #Math #Education #mathematics

tomkyle/binning – Determine optimal number of bins 𝒌 for #histogram #creation and optimal bin width 𝒉 using various statistical methods in #PHP.

Included methods: Sturges’ Rule, Doane’s Rule, Freedman-Diaconis Rule, Terrell-Scott’s Rule, Rice Rule, Scott’s Rule, and Square Root Rule.

GitHub: https://github.com/tomkyle/binning
Issues: https://github.com/tomkyle/binning/issues

Available on #packagist via #composer. Heavily inspired by markrogoyski/math-php but written for #PHP 8.3+. — #math #statistics

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

Linear Algebra Done Right by Sheldon Axler looks like an excellent textbook. If I ever end up teaching or tutoring undergraduate linear algebra again I think I'd try it as a text. The book is open access and is available at https://linear.axler.net (I have no affiliation with the author; I just like the book!)

One thing I like about this book is its approach to eigenvalues and eigenvectors. Most linear algebra books present eigenvalues as roots of the "characteristic polynomial", which is built from the "determinant", which in turn has some formula defining it. These objects are rarely motivated geometrically, and so you're left with limited understanding of just what an eigenvalue is or why linear transformations on finite-dimensional vector spaces must have them. Axler avoids determinants till Chapter 9 of the book, focusing instead on linear operators. The fact that operators must have eigenvalues pops out of the observation that iterating an operator on a given non-zero starting vector results in a set of vectors that must eventually become linearly dependent. This fact also leads to the development of the characteristic polynomial; you can then come at the determinant from this, more geometric, perspective.

#math #teaching #LinearAlgebra