When I start teaching a new group of students, I often ask them to share with me their "Math Autobiographies", a brief written description of their best, worst, and earliest memories of doing math. Reading these helps me get a better understanding of where my students come from, and who they are at this point in time as math students.
I don't usually share my Math Autobiography, but I thought this blog would be a good place to start. So here's one of my earliest math memories. I'll share some of my best and worst math memories later.
When I was in second or third grade, I remember doing lots of rote problems for classwork and homework. Multiple-digit addition and multiplication sticks in my brain for some reason. I also remember doing many long division problems, but those probably came later. Anyway, I remember not really enjoying doing lots of addition and multiplication, but there were these problems at the bottom of the page in a brightly colored box, with a little cartoon monkey hanging on the side. These were the "challenge" problems, and I can remember rushing through the rest of my work, just to see what the challenge monkey had in store for me. I think there was one that showed a line of squares, with common edges, and the question was something like how many sticks are needed to make a line of five squares? Ten squares? 100 squares? Maybe I'm just making that problem up from another memory, but the excitement I felt about that challenge monkey and the more interesting problems it signaled was real.
I tried to do an internet search for the text book, but not knowing anything other than the years I might have used the book, I wasn't able to find an actual example of the monkey and his challenge problems. I do still enjoy challenge problems, however, and I will still happily work through some "grunt work" if I know it will help me reach something interesting at the end.
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