James Tanton

@jamestanton

An Aussie fellow living in the US publishing math, videos, puzzles & joyful curriculum for students & teachers. Check out and below!

Washington DC
jamestanton.com
Joined December 2009
53 Photos and videos Photos and videos

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  1. 10 hours ago Scottsdale, AZ

    The reciprocals distinct positive ints can add to whole numbers: eg 1/2+1/3+...+1/9+1/10+1/15+1/252+1/2520=2 Reciprocals of distinct primes?

    1 retweet
  2. Dec 7

    If p is an odd prime, then [2^(p-1) - 1]/p is an integer. It is a perfect square for p=3. Square for any other p? Cube for any other p?

    1 retweet 4 likes
  3. Dec 6 Scottsdale, AZ

    In how many different ways can I split 9 pennies and 1 quarter into 3 piles? (Eg 1p, 1p, 7p&1q OR 3p&1q, 4 p, 2 p OR 7p, 1p&1q, 1p.)

    1 retweet 2 likes
  4. Dec 5

    In case you're intrigued, here's all about them!

    Talking re exploding dots at the bay area tweetup
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    3 likes
  5. Dec 5 Phoenix, AZ

    A(n)=number ways to split n pennies into 3 piles. Prove: A(2n) = A(2n-3) + n & A(2n) = 2n-3 + A(2n-6). Hence what's the formula for A(n)?

    2 retweets 2 likes
  6. Dec 4 Scottsdale, AZ

    Top math w...

    3 likes
  7. Dec 4 Phoenix, AZ

    A(n) = number of ways to split n pennies into three piles. eg A(3)=1, A(4)=1,A(5)=2. What is A(10006) - A(10000) ?

    1 retweet 2 likes
  8. Dec 3

    Split an odd number of pennies into three piles: 3 pennies 1 way. 5 pennies 2 ways, 7 pennies 4 ways. How many ways for 101 pennies?

    4 retweets 3 likes
  9. Retweeted
    Dec 2

    "Behold!" Proving Pythagorean's Theorem ... Understand the Math!

    Embedded image permalink
    8:01 AM - 2 Dec 2015 · Details
    3 retweets 4 likes
  10. Dec 2 Scottsdale, AZ

    How many sequences of Hs and Ts, ten letters long, have no three consecutive Hs and no three consecutive Ts?

    5 likes
  11. Dec 1 Scottsdale, AZ

    Other open question: Set n' = 1 if n prime, 1' = 0, and (ab)' = a'b +ab'. Is there an n so that n' =28? Is every even an n' for some n?

    1 retweet 6 likes
  12. Retweeted
    Nov 30

    lots of thinking and learning to do! #gpcsd#mybrainhurts

    Embedded image permalink
    6:11 PM - 30 Nov 2015 · Details
    3 retweets 5 likes
  13. Retweeted
    Nov 30

    Now is your chance: use code 71103429 to get 's "Trigonometry: A Clever Study Guide."

    3 retweets 7 likes
  14. Nov 30

    Oops! Typo! If n prime, then n' =1. If n = ab, then n' = a'b + ab' (and so 1' = 0 --oops!) Open question: Which n have n'' =1? Inf many?

    1 retweet 4 likes
  15. Nov 30 Scottsdale, AZ

    Open Research: If n prime, then n' = 1. If n=ab, then n' = a'b+ab' (and so 1'= 1). Which n have n'' = 1? Inf many?

    1 retweet 3 likes
  16. Nov 29 Phoenix, AZ

    Albert has N+1 coins, Bilbert N. They each toss their coins. What is the probability that Albert sees strictly more heads than Bilbert does?

    2 retweets 6 likes
  17. Nov 28 Phoenix, AZ

    How many times should I expect to toss a fair coin to first see the pattern THT ? (All patterns of three same expected value?)

    3 retweets
  18. Nov 27 Phoenix, AZ

    Top Math

    2 retweets 5 likes
  19. Nov 27 Phoenix, AZ

    Math cheers to

    1 retweet 5 likes
  20. James Tanton followed , , and 3 others
    • JoHN MiLLeR
      @MODUALITY

      Author of the Geom-e-Tree, PolygonFlux & PolygonJazz iPad apps, recreational mathematician. Artist, Tuba player. Trying to do the right thing.

    • Kyle Pearce
      @MathletePearce

      Mathematics teacher in the morning, instructional coach in the afternoon. Constantly looking for ways to spark curiosity in my students through contextual tasks

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