Reflections on maths, learning and maths learning support, by David K Butler

Tag: games

  • Bodyscale Prime Climb

    Prime Climb is a wonderful game by Dan Finkel (aka @MathforLove ), which you can find out more about here . The board is a path made of the numbers from 0 to 101, coloured by an ingenous and beautiful system. 

    The first time I played it at work back in December 2016, we had so many players we decided to play in teams of two. Playing in pairs gave me this most fabulous idea. Each team had two players and each team had two pawns. What if the players were the pawns? What if we could actually walk on the board? That would totally take this game from wonderful to wonderfully awesome!

    You can read the rest of this blog post in PDF form here. 

    These resources are linked in the above document:

  • The Arts student’s maths brain

    Yesterday I talked about one of the common responses to people finding out I am a mathematician/maths teacher, that of saying, “I’m not a maths person.” The other common response I get is, “I don’t have a maths brain.” (John Rowe mentioned this in his comment on the previous post.)

    This is how I reacted last time someone said this to me:

    A screenshot of two tweets from DavidKButlerUoA on 5 Jun 2017. Yesterday at church the youth pastor responded to learning what I do with "I don't have a maths brain". I fear I may have been a bit rude when I almost yelled "There is no such thing as a maths brain!" https://twitter.com/DavidKButlerUoA/status/871637804916195329
    https://twitter.com/DavidKButlerUoA/status/871637804916195329 

    It may not have been the best response, but I stand by the sentiment. I strongly believe there is no such thing as a maths brain. Or at least, that all brains are maths brains. I believe all human brains are wired in such a way to be able to learn and do maths, not least because I observe babies engaging in mathematical thought long before they can talk, so that capacity is there in all of us from the beginning. But more than this, I believe that the skills that I use to be good at maths are the same skills that other people use to do other things that they wouldn’t call maths.

    I have one specific story to tell about how I helped an Arts student to believe that maybe she did have a maths brain after all.

    Earlier this semester (a few months ago now), several student services were invited to an orientation event for Arts students, to make sure they knew about what was available for them. So I went along with a Writing Centre staff member to do our usual joint activity of Numbers and Letters.

    A student came along to see what we were doing and happily engaged with the Letters game. She then glanced over at the Numbers game and I asked if she’d like to join in. With a rather green look on her face she said, “I don’t have a maths brain!”

    I said, “I’m not sure I believe there’s such a thing as a maths brain.” Then I asked her what she was studying, and she revealed it was mainly poetry. “That’s really cool!” I said. “I reckon the skills you use to analyse and create poetry are tha same ones I use to do maths. Did you want to try a different sort of activity?” She graciously agreed and so I wrote this haiku on the board:

    Word points, letter lines:
    Fur ute you oft try fey roe.
    My geometry

    “What do you notice?” I asked.

    “It really is a haiku. And there’s a lot of really interesting words in that middle line.”

    “Yeah I know right? I particularly like the concept of fey roe. What else do you notice about the words in that middle line?”

    “Well, they’ve all got three letters…”

    Following this was a most wonderful conversation about the letters they start with and end with, and which letters appear and how many times, scribbling notes on the board. This all culminated in the beautiful moment where the student realised the symmetrical nature of the words and the letters here and made an “oh!” of satisfaction.

    “That was cool,” she said, after declaring she had to go. “Maybe I have a maths brain after all.”

    This was one of the greatest moments of my entire teaching career, right then.

  • An opening gambit for the Numbers game

    It was O’Week a couple of weeks ago, when new students arrive on campus to find out how uni works and the services they have access to. Our tradition for the last several years is to play Numbers and Letters on a big whiteboard out in public as a way to engage with students. This year I discovered a way to help people engage: write something on the board that is not a solution.

    You can read the rest of this blog post, and four other related posts, in PDF form here. 

    The titles of the five posts are:

    • Numbers and Letters (2018)
    • An opening gambit for the Numbers Game (2017)
    • Changing the goal of the Numbers Game (2020)
    • Jack Frost’s centre (2015)
    • The Arts student’s maths brain (2017)