Mathematical mistakes

(Image base created by Curran Kelleher)

In the course I am taking online, How to Learn Mathematics, one of the assignments is to create a poster that highlights the importance of mistake making during the process of learning mathematics. What I believe is that mathematics is both in the external world (and hence discovered) and also a construct of our minds (and hence created). When students learn mathematics, they explore the world external to themselves to develop an internal model of mathematics.

An aside: Can you help me figure out how to make my poster look better? I’d like to add some colour or something, but I’m not sure exactly where…