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My favourite math problem

In this video I cover the problem of computing square-pyramidal numbers in-depth, leading to a rich discussion of how we can go about in general to solve a difficult math problem.

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4.41 Overall score*

100 Rank

10 Votes

3 Comments

Comments

6.1

I watched about 22 minutes. It was good and making plenty of sense, and I think I can see where it’s going from there. I Especially loved the Lego visualizations. If possible this would need to be pared down to 20 mins max. (Under 15 would be even better). I personally think an hour long video is too long.

The video is a bit too long for SoME

3.8

I liked how you take an interesting problem and giving your students an experience with it. There are a stronger connections to geometry (using 6 copies of the pyramid to create a rectangular solid). Did you leave this out on purpose? There are also stronger connections to Pascal's triangle and the S_2(N). Since the pyramidal numbers can be found as sums of consecutive tetrahedral numbers, and the tetrahedral numbers are on a diagonal of Pascal's Triangle, then the square pyramidal numbers can also be generated from there. What is more, is that the structure of pascal's triangle can be used to see the layers of the geometric pyramid. I think a shorter version of this video would be better. Try not to put so much in one video.