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Topic: Problem Solving(3 of 3)
Replies: 2   Last Post: Jul 13, 1995 4:47 PM

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David Scott Powell

Posts: 54
Registered: 12/6/04
Problem Solving(3 of 3)
Posted: Jul 10, 1995 6:51 PM
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The last approach is teaching via problem solving. In this approach
problems are valued not only as a purpose for learning mathematics but also
as a primary source of doing so. "The teaching of a mathematical topic
begins with a problem situation that embodies key aspects of the topic, and
mathematical techniques are developed as reasonable responces to reasonable
problems."(pg. 33) The article states that a goal of learning math is to
take the non-routine problem and make it routine. Learning in this way
goes from concrete to abstract(Where have we herd this argument before).
These problems are usually in the form of a real world situation in
which the student needs no abstract algorithm but can be solved with a
little common sense and thought as to what is going on. The problems build
on each other and latter on more abstract ideas are pushed but not forced
on the learner. These problems are much more open ended in there wording.

This is the third approach. How does this approach fit the NCTM standards?
Has anyone used this approach? What do you think about the three
approaches? How have you used them(if you used them at all)?

More later.


Scott Powell
University of Hawaii
University Lab school
Honolulu, HI. 96822

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