I read this in a book by Mike Ollerton some time ago, I think it was his book called “Mathematics teacher handbook”. One of the activities in the first chapters of the book was this one:

Imagine a rectangle on a square grid, say a 9 x 3 rectangle. Draw the diagonal in the rectangle. How many of the squares within the rectangle will be crossed by the diagonal?

It turned out to be a very nice activity, and it can be attacked in different ways, as well as making a good arena for mathematizing and exploring. The aim being, of course, to see the connection between the size of the rectangle and the number of squares that the diagonal passes through. It is not too difficult, and not too easy either and everyone can understand the question.

This entry was posted on Tuesday, August 9th, 2011 at 21:20 and is filed under GeoGebra, mathematics. You can follow any responses to this entry through the RSS 2.0 feed.
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I don't know if I qualify as a researcher (actually, I know I don't), but at least I WORK as a researcher within higher education. I am a lecturer in mathematics in Norwegian teacher education. This blog will show some of the thoughts, software products, scientific tidbits and ramblings I encounter in this area of work. I hope you leave some comments in the... comments field.