Apart from, of course, me.
Prompted by the What Should We Write About post, and in particular by a comment from newcomer Mr. Texas, it seems worthwhile setting up a few “resources” post. This is the first such post: who, or what, should people read on mathematics education?
People are free to suggest whatever they wish, however they wish, although anyone suggesting a podcast will be summarily shot: “Read” means read. A writer might be suggested generally, or just for a specific article. The suggestions can broaden into education more generally, and even further. Perhaps more focussed suggestions may be more helpful, but we’ll see what people throw up. Monographs and paywalled suggestions are also worthwhile: sometimes there are ways …
Note that the suggested writings should be about mathematics education, rather than textbooks and expositions of mathematics and the like. Of course there is not a clear dividing line, but I plan to publish a separate, similar post for teaching resources.
As people comment, I’ll update the post, with the suggestions and links somewhat cleaned and sorted. (I also plan to post an organising front page to the blog in the very near future, so that posts such as this don’t get lost in the blog jungle.)
Thanks to everyone for their suggestions, and I’m sorry to be so slow to compile them. Here they are, including a suggestion of my own. Any links are to free or substantially free versions/sites, unless otherwise indicated. (Non-linked books can be located and purchased easily enough.)
Although some of the references are standards and/or appear to be very good, I’m simply listing pretty much all that was suggested (as long as it was more or less on some aspect of maths ed). Their value has to be determined by the reader (and can always be discussed further below). Of course, further suggestions are always welcome.
Gardiner, who occasionally graces this blog with his presence, has great books of problems (including this free one, co-authored with Alexandr Borovik and discussed here). Two of Gardiner’s works specifically on mathematics education are:
Polya is a legend, of course, which means most current maths teachers have never heard of him.
*) The Truth About Teaching
*) A Little Guide for Teachers: Cognitive Load Theory
*) How I wish I’d Taught Maths
Wu is another legend, with a home page full of great stuff. For instance,
*) Traditional Math (substack)
Fan Lianghuo (editor)
*) How Chinese Learn Mathematics: Perspectives From Insiders
*) Dyscalculia: From Science to Education
*) (with Dorian Yeo) Dyscalculia Guidance
*) The Number Sense (10/04/23)
*) The Jaime Escalante Math Program (10/04/23)
*) The Reform Calculus Debate (10/04/23)
*) On Teaching in the Mathematical Sciences (10/04/23)
*) On Learning in the Mathematical Sciences (10/04/23)
*) Learning from worked examples in mathematics (12/08/23)
Mr. Big of cognitive load theory.
*) There is more variation within than across domains (12/08/23)
The JUMP math guy.
*) All Things Being Equal: Why Math Is the Key to a Better World
Blåsjö has a very extensive website called Intellectual Mathematics.