# Notice and wonder: sense making

This is the third in a planned series of posts about my course ‘Developing Mathematical Thinking’, a maths content elective for pre-service teachers training in primary and middle maths. All posts in the series are here. It's been three weeks (how time flies!) since I last posted about this course. There are 1.5 workshops that I haven't written about. We also missed three classes … Continue reading Notice and wonder: sense making

# Counting in unexpected ways

It was a delight to recently spend five days working with students and teachers in Alice Springs at the invitation of MTANT, the Mathematics Teachers Association of the Northern Territory. I then spent a week in bed with the flu, which is one reason I've recently lost my voice (both physically and online). The main purpose of the visit was to join … Continue reading Counting in unexpected ways

# I’m not sure if it is important, but I noticed …

Another puzzle: Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number? This puzzle comes from one of my favourite resources, nrich.maths.org. That site is a treasure-trove of rich low-threshold high-ceiling tasks. I'm not going to explicitly tell you how to solve it here — you … Continue reading I’m not sure if it is important, but I noticed …

# Connecting the dots

(This post contains mathematical spoilers. I'll warn you again just before the reveal.) Today I want to share a maths puzzle: Is it possible to arrange an entire set of dominoes in a circle so that touching dominoes have adjacent squares with identical numbers? Once you've experimented with a set of dominoes in which the highest number is … Continue reading Connecting the dots