One of the key goals of mathematics education is building problem solving skills. How does a mathematician approach problem solving? What does it mean to think like a mathematician?
In this video we viewed a mathematicians work.
We observed students in a variety of problem solving situations to uncover parallels in the way that students and mathematicians solve problems.
For mathematicians solving difficult mathematical problems like this is a little like working on a puzzle or a game.
In this video the mathematician used the Towers of Hanoi to explain mathematical problems and how they are like solving a puzzle.
When a mathematician is working on a problem, they don't always know the answer.
And if you do know the answer you are not going to give a mathematician the answer, they are going to try to solve it on their own.
First thing a mathematician does is simplify the situation.
Second mathematicians look for patterns
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