Applications of Groups and Isomorphic Groups to Topics in the Standard Curriculum, Grades 9-11: Part I

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  • 1 University of Chicago, Chicago, Illinois

The subfield of pure mathematics that has grown most significantly in the past few decades is that of algebra, by which is meant “higher” or “abstract” algebra and linear algebra. Twenty years ago courses in algebra were at the advanced undergraduate and graduate level, and it was easy to become a certified mathematics teacher without having any knowledge of groups, rings, fields, or vector spaces. Today virtually all prospective teachers take a course in which some of these structures are studied.

The Mathematics Teacher

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