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Wasserman, Nicholas H. – PRIMUS, 2014
Algebraic structures are a necessary aspect of algebraic thinking for K-12 students and teachers. An approach for introducing the algebraic structure of groups and fields through the arithmetic properties required for solving simple equations is summarized; the collective (not individual) importance of these axioms as a foundation for algebraic…
Descriptors: Mathematics Instruction, College Mathematics, Algebra, Problem Solving
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Huntley, Mary Ann; Flores, Alfinio – PRIMUS, 2010
The authors describe ways in which a history of mathematics course can help prospective teachers of mathematics develop knowledge they will need for teaching. The types of knowledge include content knowledge of mathematics, knowledge of mathematics for teaching, and pedagogical knowledge.
Descriptors: Mathematics Teachers, Pedagogical Content Knowledge, Mathematics Instruction, Secondary School Mathematics