The second approach to problem solving is teaching for problem solving. In this approach the teacher concentrates on ways in which the mathematics being taught can apply to the solution of both routine and non-routine problems. "Althought the acquisition of mathematical knowledge is of primary importance, the essential purpose for learning mathematical knowledge is to be able to use it." Students are given many instances in which to look at the concepts and structures they are studying and many opertunities to apply the mathematics in solving problems. Teachers who teaches for problem solving is very concerned about students' ability to transfer what they have learned from one problem context to another. It is like saying the *sole* reason for learning mathematics is to use the knowledge gained to solve problems.
I kind of look at this as a science teacher who might view math as just a vehicle used to get at his particular field of interest. Math is viewed as a tool to help solve problems. How about that? Is this what is meant by the standards? Who uses this approach? Why?
Scott Powell University of Hawaii University Lab school Honolulu, HI. 96822 firstname.lastname@example.org