Being a good teacher /mathslearning/ en Making the lie true /mathslearning/news/list/2023/07/13/making-the-lie-true <p>We at my university regularly sell quite a big lie.</p> July 13 2023 David Butler /mathslearning/news/list/2023/07/13/making-the-lie-true Why mathematical induction is hard /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 06 2023 David Butler /mathslearning/news/list/2023/06/06/why-mathematical-induction-is-hard Space to enter /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 02 2023 David Butler /mathslearning/news/list/2023/03/02/space-to-enter Book Reading: You're Not Listening /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 2023 David Butler /mathslearning/news/list/2023/01/23/book-reading-youre-not-listening Four levels of listening /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 2022 David Butler /mathslearning/news/list/2022/09/23/four-levels-of-listening Other(ing) Explanations /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 09 2022 David Butler /mathslearning/news/list/2022/09/09/othering-explanations Running out of puzzles /mathslearning/news/list/2022/02/02/running-out-of-puzzles <p>Because people know I run the <a data-entity-substitution="canonical" data-entity-type="node" data-entity-uuid="f7fffe02-0166-4887-ad86-bc48e16405bd" href="/mathslearning/news/list/2020/04/02/one-hundred-factorial-the-puzzle-and-the-event" title="One Hundred Factorial - the puzzle and the event">One Hundred Factorial</a> puzzle sessions, they often ask me if I have a repository of puzzles they can use for their classroom, enrichment program, maths club, or their own enjoyment.</p> February 02 2022 David Butler /mathslearning/news/list/2022/02/02/running-out-of-puzzles My first Maths Teacher Circle /mathslearning/news/list/2021/01/25/my-first-maths-teacher-circle <p>Last week I participated in my first <a href="https://mathsteachercircles.org.au/">Maths Teacher Circle</a>. I just want to do a quick blog post here to record for posterity that I did it and it was excellent. I choose to take the practical approach of just relating what happened.</p> January 25 2021 David Butler /mathslearning/news/list/2021/01/25/my-first-maths-teacher-circle The Solving Problems Poster /mathslearning/news/list/2020/11/19/the-solving-problems-poster <p>This blog post is about the Solving Problems poster that has been on the MLC wall for more than ten years in one form or another.</p> November 19 2020 David Butler /mathslearning/news/list/2020/11/19/the-solving-problems-poster Questions with a morally wrong answer /mathslearning/news/list/2020/09/12/questions-with-a-morally-wrong-answer <p>I think asking students questions is an important part of my job of helping students succeed. Good questions can help me see where they are in their journey so I can choose how to guide them to the next step, or can help to make clear the skills they already have that will help them figure things out for themselves. But there is a class of questions that shuts all of this down immediately. Here are some examples:</p> September 12 2020 David Butler /mathslearning/news/list/2020/09/12/questions-with-a-morally-wrong-answer