Cognitive Science and Mathematics Education

By Alan H. Schoenfeld | Go to book overview

Although some research should be shared before that, much of what cognitive scientists do needs to be embedded in a sort of "translation research" that takes; it closer to classroom practice. Practitioner partners can help researchers know when that is the case and help in the translation process. Sometimes compromises will have to be made. Researchers cannot expect that everything they like in a model can be transformed directly into practice. Sometimes they may even need to select research questions because they are essential to the translation process rather than because they are legitimate concerns of cognitive science. And, sometimes, scientists will need to test their clinical findings in the reality of the classroom, accepting the constraints that exist in that context.

Throughout these remarks, I have made far too sharp a distinction between researchers and practitioners. I should apologize for that. I did it to make a point but it is often an inaccurate and inappropriate distinction. It is particularly artificial for some of you I have known for years as mathematics educators, not as cognitive scientists. You are as much practitioners as I am. And others I have met for the first time have convinced me their interest in school mathematics is much more than a convenient context for their research. I think at heart they may be mathematics educators too.


REFERENCES

Davis R. B. ( 1967a). "Mathematics teaching with special reference to epistemological problems" [Monograph]. Journal of Research and Development in Education, Monograph, 1, (1, fall).

Davis R. B. ( 1967b). "The range of rhetorics, scale, and other variables". Journal of Research and Development in Education, 1, 51-74.

Fawcett H. P. ( 1938). The nature of proof. New York: Teachers College, Columbia University, Bureau of Publications.

Keyser C. J. ( 1953). Thinking about thinking. New York: Scripta Mathematics, Yeshiva University.

Moore E. H. ( 1903). "On the foundations of mathematics". Bulletin of the American Mathematical Society, 9, 402-424.

National Advisory Committee on Mathematics Education ( 1975). Overview, and analysis of school mathematics grades K-12. Washington, DC: Conference Board of the Mathematical Sciences.

Proceedings of national conference on needed research in mathematics education ( 1967). Journal of Research and Development in Education, 1(1).

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