<link>https://www.adelaide.edu.au/mathslearning/</link>
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<title>Complex lines with i-arrows again
https://www.adelaide.edu.au/mathslearning/news/list/2024/10/03/complex-lines-with-i-arrows-again
<p><span><span><span>Once upon a time (<a data-entity-substitution="canonical" data-entity-type="node" data-entity-uuid="172e6829-8771-4b78-bf5a-112396bbe1c6" href="https://www.adelaide.edu.au/mathslearning/news/list/2016/08/05/where-the-complex-points-are" title="Where the complex points are">in 2016</a>), I created a way to visualise where the complex points are in relation to the real plane, and then more recently (<a data-entity-substitution="canonical" data-entity-type="node" data-entity-uuid="8db829ce-5a4b-4d8a-921d-787948a725d8" href="https://www.adelaide.edu.au/mathslearning/news/list/2022/07/26/where-the-complex-points-are-i-arrows" title="Where the complex points are: i-arrows">in 2022</a>), I modified it to become the concept of <em>i-arrows</em>. I reread those blog posts recently while updating the blog to the new website, and I got all interested in them again. Here is what I’ve been working on over the last few weeks.</span></span></span></p>October 3 2024David Butlerhttps://www.adelaide.edu.au/mathslearning/news/list/2024/10/03/complex-lines-with-i-arrows-againGerry-mean-dering
https://www.adelaide.edu.au/mathslearning/news/list/2023/08/12/gerry-mean-dering
<p>A recent video from Howie Hua showed how if you split a collection of numbers into equal-sized groups, then find the mean of each group, then find the mean of those means, it turns out this final answer is the same as the mean of the original collection. He was careful to say it usually does <em>not </em>work if the groups were different sizes. Which got me to wondering: just how much of an effect on the final mean-of-means can you have by splitting a collection of numbers into different-sized groups?</p>August 12 2023David Butlerhttps://www.adelaide.edu.au/mathslearning/news/list/2023/08/12/gerry-mean-deringMaking the lie true
https://www.adelaide.edu.au/mathslearning/news/list/2023/07/13/making-the-lie-true
<p>We at my university regularly sell quite a big lie.</p>July 13 2023David Butlerhttps://www.adelaide.edu.au/mathslearning/news/list/2023/07/13/making-the-lie-trueIntroducing Digit Disguises with a small game
https://www.adelaide.edu.au/mathslearning/news/list/2023/07/08/introducing-digit-disguises-with-a-small-game
<p>Because [reasons], my game Digit Disguises has been on my mind recently, and reading the original blog post from 2019, I suddenly realised I had never shared my ideas on how to introduce the game to a whole class at once.</p>July 8 2023David Butlerhttps://www.adelaide.edu.au/mathslearning/news/list/2023/07/08/introducing-digit-disguises-with-a-small-gameWhy mathematical induction is hard
https://www.adelaide.edu.au/mathslearning/news/list/2023/06/06/why-mathematical-induction-is-hard
<p>Students find mathematical induction hard, and there is a complex interplay of reasons why. Some years ago I wrote an answer on the Maths Education Stack Exchange describing these and it's still something I come back to regularly. I've decided to post it here too.</p>June 6 2023David Butlerhttps://www.adelaide.edu.au/mathslearning/news/list/2023/06/06/why-mathematical-induction-is-hardSpace to enter
https://www.adelaide.edu.au/mathslearning/news/list/2023/03/02/space-to-enter
<p>This is a photo of the entrance to my Maths Learning Centre. What do you notice?</p>March 2 2023David Butlerhttps://www.adelaide.edu.au/mathslearning/news/list/2023/03/02/space-to-enterBook Reading: You're Not Listening
https://www.adelaide.edu.au/mathslearning/news/list/2023/01/23/book-reading-youre-not-listening
<p>This blog post is about the book <em>You're Not Listening</em> by Kate Murphy, and in particular my reactions to it from a teacher's perspective.</p>January 23 2023David Butlerhttps://www.adelaide.edu.au/mathslearning/news/list/2023/01/23/book-reading-youre-not-listeningFour levels of listening
https://www.adelaide.edu.au/mathslearning/news/list/2022/09/23/four-levels-of-listening
<p>Listening is one of the most important aspects – no, scratch that – <em>the</em> most important aspect of my work in the Maths Learning Centre.</p>September 23 2022David Butlerhttps://www.adelaide.edu.au/mathslearning/news/list/2022/09/23/four-levels-of-listeningOther(ing) Explanations
https://www.adelaide.edu.au/mathslearning/news/list/2022/09/09/othering-explanations
<p>Most people who teach mathematics are aware that it's useful to have alternative explanations for concepts, and useful to have different ways to approach problems.</p>September 9 2022David Butlerhttps://www.adelaide.edu.au/mathslearning/news/list/2022/09/09/othering-explanationsArbitrary mnemonics
https://www.adelaide.edu.au/mathslearning/news/list/2022/09/02/arbitrary-mnemonics
<p>A mnemonic is a mental trick to help you remember things.</p>September 2 2022David Butlerhttps://www.adelaide.edu.au/mathslearning/news/list/2022/09/02/arbitrary-mnemonics