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

Why students might choose the textbook

(In the same week that I wrote this, Carl Oliver posted on a similar experience. I recommend that you go and read 'CLOG: The chose the worksheet?!?!' for some interesting reflections.) I like to give my university students choice about the kinds of questions they tackle in tutorials. Usually it's as unsophisticated as grouping questions by type and giving them the choice … Continue reading Why students might choose the textbook

#QuarterTheCross and @FractionTalks

Something that has captivated me from the Maths Twitter Blog-o-Sphere (#MTBoS) in the last few months is Quarter The Cross. It is a classic low-threshold high-ceiling task. And, the more you experiment, the deeper and richer your mathematical understanding becomes. This can lead to some quite sophisticated and beautiful solutions. The solutions above are six of mine. They are rather … Continue reading #QuarterTheCross and @FractionTalks

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