Discussion Questions 11-19

MTE 598
Research in Undergraduate Mathematics Education I

Fall 2002
Discussion Questions

November 19 - Problem Solving

Schoenfeld, A. (1992). Learning to Think Mathematically: Problem Solving, Metacognition, and Sense Making in Mathematics. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning, New York: Macmillan, 334-370.

Describe Schoenfeld's framework for mathematical cognition.

What mechanisms might a researcher use to integrate affect into studies on cognition?

What are the possible impacts of various social contexts of mathematics classrooms on affective aspects of students' development of mathematical thinking?

Carlson, M. (1999). The Mathematical Behavior of Six Successful Mathematics Graduate Students: Influences Leading to Mathematical Success, Educational Studies in Mathematics, Kluwer Academic Publishers, The Netherlands, Volume 40, 237-258.

What aspects of problem solving behavior noted in the subjects of this study do you recognize in yourself?

Speculate on the relationship between control mechanisms and persistence in problem solving. That is how might the presence of one mitigate the absence of the other and vice versa, how might their development be related, the placement of persistence in the mathematical cognition framework, etc.?

Carlson observed the graduate students attention to the logical integrity of their arguments. How might this fit in to Schoenfeld's framework?

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