Making Your Own Sense

Reflections on maths, learning, and the Maths Learning Centre.

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Human Markov Chains

This blog post is about a moving maths activity that I have wanted to do for years and finally got an opportunity to do this year in 2018. It's a model of a concept called a "Markov Chain" using human movement.

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Leaving the most important teaching to chance

Something is bothering me about teaching at university: we are leaving the most important teaching to chance.

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Mr Johnson's Rainbow

I love reading and writing, and the way that people use words to express ideas fascinates me. So it is no surprise that when I was in Year 12, I studied the highest level of English available. My English teacher was called Mr Johnson and I hated him. (It wasn't really, Mr Johnson – I've changed his name to write this.) The reason I hated him is expressed in this poem I wrote at the time:

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A public health approach to improving teaching and learning

Making a big difference to student learning is a tricky business. Here at my university, there are a certain number of (wonderful) teaching staff who are champions of innovation, always making big changes to the way they do things and jumping onto any innovation as soon as it comes around. Yet the students not in those classes don't see much benefit from it. Indeed, those staff who are not champions of innovation may do nothing for fear of having to adopt all at once All The Things they see the champions doing. A student who seeks regular support for their learning may make spectacular gains, but there are literally thousands of other students who don't seek such support on a regular basis, and thousands of students who don't really need spectacular gains but just a little bit extra. I have started to think that perhaps the best way to make a big difference is to find some way of encouraging a large number of small differences.

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The unexpected fear of statistics

Statistics is the cause of a lot of fear. There are thousands of students studying psychology, sociology, economics, biology, medicine, animal science and education who thought they would be free of mathematics and suddenly discover they have to deal with statistics. In the case of psychology it is absolutely everywhere: both in whole courses about statistics, but also embedded in almost every other course they do. For most of these students, their fear of statistics carries over from their existing fear of mathematics, and so as sad as it is that they are afraid, it's not wholly unexpected.

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Stop hating on cis(θ)

I met with some lovely Electrical and Electronic Engineering lecturers yesterday about their various courses and how I can help their students with the maths involved. And of course complex numbers came up, because they do come up in electronics. (I have not the slightest clue how they come up, but I am aware that they do.)

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Remainders remain a puzzle

My first post of 2018 is a record of some rambling thoughts about remainders. I may or may not come to a final moral here, so consider yourself warned.

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Home in One Piece: a game of strategy using play dough

This post is about a game I invented called Home in One Piece.

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Three hours in the MLC Drop-In Centre

Last week, I had one of those days in the MLC Drop-In Centre where I was hyper-aware of what I was doing as I was talking with students and by the end I was overwhelmed by the sheer volume of things I had thought about. I decided that today I might attempt to process (or at least list) some of it for posterity.

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Likeable primes

There is a Twitter account that tweets the prime numbers once an hour in sequence. (The handle is .) Since before I joined Twitter, it's been working its way through the six-digit primes and some of them are very nice. A lot of other people think they're nice too, based on the fact that they are given likes and retweets. But what is it that motivates people to do this? What is it that makes a prime likeable? Well, that's what this post is about.

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