# You're reading: Travels in a Mathematical World

### My teaching in 2013/14

Some people have expressed an interest in what I am teaching this year. Here it is.

### ‘Low barrier, high ceiling’ and the Maths Arcade

I’ve been catching up with the TES Maths Podcast. I just listened to episode 7, towards the end of which guest Brian Arnold shares ‘the Frogs puzzle’. You probably know this, but if not Brian points to the NRICH interactive version which explains:

Imagine two red frogs and two blue frogs sitting on lily pads, with a spare lily pad in between them. Frogs can slide onto adjacent lily pads or jump over a frog; frogs can’t jump over more than one frog. Can we swap the red frogs with the blue frogs?

You know the one? You can play it with coins or counters or people. Anyway, host Craig Barton refers to this as “low barrier, high ceiling”, in that

anyone can do a few moves. So there’s your low barrier, but you can take that, the maths that that goes into! You can extend it to different numbers on either side, everything’s in there.

Much as I dislike the term because it sounds jargony, I realise it describes something I’ve been explaining all week.

### Ten years of part-time working

In summer 2003, I put my MSc in computing into part-time mode to take up a part-time job in e-learning in maths at the University of Nottingham. Since then, I have done various combinations of paid work and education, until I handed in my PhD this summer. Viva notwithstanding, I am now only working on one activity: I am a lecturer of mathematics.

This week, I started a full-time contract in this role. This means I am full-time on one activity for the first time since summer 2003. In recognition of this, I hope you won’t mind a little self-indulgence on my part. I have quickly mocked up the following image showing my part-time working life over recent years. Here’s hoping for a period of greater stability in full-time working.