7/2=(3×2)+1

Interesting thought! ]]>

An alternative formula without that problem is:

a = 1/2 * ((b^2 + a^2 + 2ab) / (b + a)) * h

Which is still similar to the formula for the crossed trapezium, but doesn’t have an obvious (to me) geometric interpretation! Something about the triangles cut out of the sides?

]]>I see Nic commented above about identity. It looks like he teaches stats, which probably means high school students. That puts you two in a basket teaching students whose identities in mathematics have already been forged for a good portion of their academic careers. So while the end goals may be the same as someone like me working down elementary, I think you two have a much tougher go of it.

Not that you shouldn’t! Last year I worked with a professor who was teaching a university course of mathematics for college students studying to be elementary teachers was enlightening. There were some serious challenges to developing a positive mathematical mindset, but I also saw some good progress.

I know you will be keeping us updated, and I am looking forward to following along in the coming months and years.

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