Wild About Math! Making Math fun and accessible


New James Tanton video on sums of cubes

Have you ever wondered why the sum of the cubes of consecutive positive integers is always a square? The key to one visual proof lies in the humble multiplication table and in an array of square dots.

Here's a new video from James Tanton that shows in a remarkably elegant way that 1^3 + 2^3 + 3^3 + ... + n^3 = (1+2+3+...+n)^2.

And, you don't need to have very much of a background in Math to follow the proof. Absolutely amazing!


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  1. thanks for this… WHERE was James Tanton when I was in school!! (and when do we clone him?)

  2. That’s a fantastic post, I’m going to post this video too at some point; and a great blog, btw. Cheers, VMT

  3. I ff’ed the video, stopping to examine full boards of stuff.

    One big chunk looked an awful lot like one of ways I help kids count rectangles on a chessboard.

    Oh yeah, same thing really! 😉

  4. When I was in school I always found these kind of problems very difficult. I wish we had you tube that time … life would have different

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