Math Arguments
Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.
Summation Rules
How did we arrive at these two equations, anyway?
\( \sum\limits_{i=1}^n i = \frac{n(n+1)}{2} \)
\( \sum\limits_{i=1}^n i^2 = \frac{n(n+1)(2n+1)}{6} \)
What other mathematical aspects of this caught your attention? What do you wonder about the situation?
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Source:
T.R.Milne
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
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
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