Eugenia’s Rigid Focus on the Wrong Answers

We had been aware of Eugenia Cheng, of course, as the happy new face of mathematics popularisation. We hadn’t paid her much attention, however, until seeing her in a very bad maths documentary; the badness wasn’t Cheng’s fault but she fit right in. Then, in synch with the appearance of her weirdly pushy new book, Cheng wrote a very silly article for the Guardian. Now, with her most recent WSJ column (Murdoch, paywalled), Cheng has tripled down on her silliness.

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Witch 112: Cooking Induction

Last one. This is the final in our sequence of WitCHes on the Logic and Proof chapter of VicMaths, Nelson’s Specialist Mathematics Year 12 text; the previous WitCHes are here and here and here and here (and a PoSSW here). This WitCH is on the final section, Proof by mathematical induction. The worked examples are all similar in form to that given below. The exercises seem ok except for one, which is almost almost good, but which definitely isn’t good (and for which no solution is provided).

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More Digital Tools

The Federal Department of Education has just come out with a commissioned report: Research into Best Practice Models for the use of digital technologies in mathematics teaching and learning. There are four summary videos (no separate links) and one-pager summaries (1, 2, 3, 4, 5, 6, 7, 8), and the report itself. We’ve watched the videos and read the summaries and skimmed the Report, and we can’t be bothered. We can’t even bother WitCHing it. Readers may be interested, however, and may wish to comment.

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Witch 111: Positively Contra

Almost there. This is a continuation of the previous WitCHes, here and here and here, on the Logic and Proof chapter of VicMaths, Nelson’s Specialist Mathematics Year 12 text. It is the penultimate section, Proof by contrapositive and contradiction. Most of the worked examples are OK (including Example 18, a correct and reasonably well-written proof “by contrapositive” that if n2 is divisible by 3 then n is divisible by 3). But, there are issues, notably in the exercises.

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Eddie Woo’s Mental Connections

Eddie Woo has been annoying for a long time. Eddie knows much less than he realises and his smiling inanities, which are invariably swallowed whole, are a continual distraction from real issues and real solutions. But he’s gotten worse. Eddie Professor of Practice Woo has graduated from being a distraction and an annoyance to being an active menace. Continue reading “Eddie Woo’s Mental Connections”