Tony Gardiner: ‘Problem-Solving’? Or Problem Solving?

The following is an article by Tony Gardiner, originally published in 1996 in the Mathematical Gazette. It is reproduced here with the kind permission of Tony, the Chief Editor of the Mathematical Gazette and the Mathematical Association. The original article is available on JSTOR, here (via an educational library), and we’ve also separately posted the […]

NotCH 4: Five Problems From Tony Gardiner

We have written about Tony Gardiner and excerpted from his writings a number of times: here, here, here, here and here. We will post an entire article by Tony in a day or so, but we are first posting the problems contained within the article. Unlike the “problem” here, the problems below are genuinely presented […]

Tony Gardiner on Problem Solving

This is our final excerpt from Teaching Mathematics at Secondary Level Tony Gardiner’s 2016 commentary and guide to the English Mathematics Curriculum. (The first two excerpts are here and here.) It is a long and beautifully clear discussion of the nature of problem-solving, and its proper place in a mathematics curriculum (pp 63-73). (For Australia’s […]

Tony Gardiner on Financial Mathematics

Our first excerpt from Tony Gardiner’s Teaching Mathematics at Secondary Level is here. Our second excerpt is a short remark on “financial mathematics” in a mathematics curriculum (p 75). The relevance to Australia’s draft curriculum is obvious.

Tony Gardiner on Exactness and Approximation

It’s been a while. We’ve been trying hard to get out a long, long post on ACARA and the draft curriculum. (Working title: Moby Albatross). We also had a great WitCH planned, but that was torpedoed by Simon the Likeable. For now, we’ll keep readers occupied with some excerpts from the writing of Tony Gardiner. […]

Notch 7: Ed Barbeau on Gifted Education

A very pleasing irony of writing this thoughtless and classless, “We’re all doomed” blog is that it has resulted in my being introduced to thoughtful and classy heroes like Tony Gardiner, mathematical stars who have been working tirelessly for decades that we not be doomed. The most recent introduction is to Edward Barbeau, a star […]

Australian Mathematics Curriculum Awfulnesses

This is our post for noting local nonsense in the new Australian Mathematics Curriculum (downloads here). It is a list of the content descriptions and the elaborations that appear to be deficient/wrong/misplaced/weird/whatever. It includes anything that has come to our attention and has sufficiently annoyed us and/or others. (This post supersedes a previous post, and […]

Host Requests Posts by Guests

From time to time, I’ve had guest posts on this blog: see here, here, here, here and here. More accurately, these guest posts were pre-written articles that the authors agreed to be republished on the blog. In any case, I’m happy to contemplate more such posts, pre-written or otherwise, and I’m now inviting readers to […]

Puzzling Souls

We’re a little out of steam right now. Some big posts are planned, but it’s difficult to gather our strength to write them. In the meantime, we’ll keep things going with a few light and easy posts. A while back we posted some (still unanswered) puzzles by Tony Gardiner, as well as the excellent article […]

ACARA Hates Algorithms

Yep, ACARA hates algorithms. That may come as a surprise, since ACARA evidently loves the word “algorithm”; it appears fifty-seven times in the draft curriculum. They love something. But it’s not algorithms.