Teacher resources and professional development across the curriculum
Teacher professional development and classroom resources across the curriculum
In this session:
Observing Student Problem Solving
Exploring Problem Solving
Defining Problem Solving
Applying Problem Solving
Evaluating Problem Solving
Previously, we have studied the Communication Standard. In this session, we will examine Problem Solving.
Problem solving is at the heart of mathematics. Formulating problems, finding ways to work on them, learning from both errors and solutions, and making connections between and among problems is a key task for the mathematics teacher and student. It is also a deeply rewarding and stimulating human activity. Inherent in the idea of problem solving is learning how to skillfully apply techniques and strategies to familiar problems; but it is equally important to learn how to extend a problem-solving disposition to new problems and new subjects. Problems are both a means to engage what we have already learned, but also to extend that learning, both in the mathematics classroom and outside of it.
"A major goal of high school mathematics is to equip students with knowledge and tools that enable them to formulate, approach, and solve problems beyond those that they have studied. High school students should have significant opportunities to formulate and refine problems because problems that occur in real settings do not often arrive neatly packaged." (NCTM, 2000, p. 335)
This session shows how to help students do the following:
NCTM Problem-Solving Standard
Instructional programs . . . should enable all students to do the following:
Principles and Standards of School Mathematics (NCTM, 2000). For more information on this Process Standard, see the NCTM Web site.
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