## The Reflective Educator

### Education ∪ Math ∪ Technology

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I tell a lot of stories when I teach, but not generally stories about my life or past stories of students. I use story-telling as a vehicle for explaining concepts that are difficult to understand when abstracted in symbols.

For example, when I talk about sums of arithmetic sequences, I start with the story of the legendary mathematical genius Gauss as a kid.

Supposedly when Gauss was a kid, he was given the task of adding up the numbers from 1 to 100. His teacher expected this task to take a while, but Gauss finished it in seconds. He apparently was the only student to write down the correct response, 5050. What Gauss did was to group the additions from 1 to 100 like so:

1   + 100
2   +   99
3   +   98
…
50 +   51

He noticed that each of these added up to 101, and that there are 50 such pairs. 50 x 101 = 5050, the answer Gauss came up with.

When I share this story with students, they tend to remember the process Gauss went through and they identify with him, not because he’s so smart, but because he bests his teacher which is a story a lot of students would like to believe. They remember the story because our minds are adapted for remembering stories.

Leading students through the more abstract proof of the sum of an arithmetic sequence formula is a lot easier when they understand where it comes from. I find story-telling in mathematics is an easy way to turn an abstract concept into something kids get and in my experience practically everything in mathematics comes from a story.

Want to explain infinite series? Tell the story of Achilles and the Tortoise. Want students to understand distance vs time graphs? Make sure to tell a story as you trace out the graph, particularly one with a lot of action you can pantomine.

Update: Here’s an example of a story being told in video form.

Multimedia can make telling the story easier, especially if the concept you want to share is complicated. Think of the pictures that you see in children’s books, and ask yourself, how much do they contribute to the telling of the story?

Story-telling is an excellent tool in mathematics education. How could you see this used in your own subject area?