Fold-and-cut

Whenever I say this, the unfinished sentence in my head is 'Fold-and-cut, baby! Fold-and-cut.' I am totally weird. The fold-and-cut theorem states states that any shape with straight sides can be cut from a single sheet of paper by folding it flat, possibly with many folds, and making a single straight complete cut. I have been impatiently waiting to try this … Continue reading Fold-and-cut

K to 2, to infinity

Okay, so 'infinity' might be a bit of a stretch but I'm talking about the latest low-threshold, high-ceiling task to become my favourite puzzle1. Louise Hodgson shared this activity at the Mathematics Association of Tasmania conference at the weekend. The learning intention, as might be voiced to students, was: "There are patterns in the hundreds chart and the patterns can help us answer questions … Continue reading K to 2, to infinity

The Joy of SET

Just over a week ago I shared one of my favourite mathematical puzzles. Today I'm sharing my favourite mathematical game, SET. There is something in this game for young children to mathematics professors. I give SET workshops each year, for Year 8 students up. My slides are here, along with some notes I wrote several years ago. I suggest at … Continue reading The Joy of SET

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