Following commonly held student beliefs about the nature of mathematics do NOT hold in the context of creative math problem solving.

There is only one approach to solve any problem
-- often one that teacher has recently taught.

Ordinary students cannot expect to understand mathematics; they
expect simply to memorize it, and apply what they have learned
mechanically and without understanding.

Mathematics problems are always solved individuals by themselves and not by a team.

Students who are good at mathematics are able to solve any problem in less than five minutes.

The mathematics taught in school is not relevant to the real world.

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