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.