Math Arguments

Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.

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Triangular Fibonacci Numbers

1, 3, 21, 55 are the only triangular Fibonacci numbers.

Are there any tetrahedral Fibonacci numbers other than 1?

What other mathematical aspects of this caught your attention? What do you wonder about the situation?

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Notice, Wonder
James Tanton
MS Math

Source: James Tanton

1,144 are the only square Fib nmbrs. 1,3,21,55 only triangular Fib nmbrs. 2 only oblong Fib nmbr. 1,8 only cubes. (Weird!) Any tetrahedral beyond 1? — James Tanton (@jamestanton) January 21, 2014

More Information:
Noticing and wondering is a tool to help students:
- Understand the story, the quantities, and the relationships in the problem.
- Understand what the problem is asking and what the answer will look like. Have some ideas to begin to solve the problem.
More Here at NCTM