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Melhuish, K.; Lew, K.; Hicks, M. – PRIMUS, 2022
Connecting and comparing across student strategies has been shown to be productive for students in elementary and secondary classrooms. We have recently been working on a project converting such practices from the K-12 level to the undergraduate classroom. In this paper, we share a particular instantiation of this practice in an abstract algebra…
Descriptors: Mathematics Instruction, Teaching Methods, Best Practices, Algebra
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
Bosse, Michael J.; Ries, Heather; Chandler, Kayla – PRIMUS, 2012
Secondary school mathematics teachers often need to answer the "Why do we do that?" question in such a way that avoids confusion and evokes student interest. Understanding the properties of number systems can provide an avenue to better grasp algebraic structures, which in turn builds students' conceptual knowledge of secondary mathematics. This…
Descriptors: Algebra, Number Systems, Secondary School Mathematics, Elementary School Mathematics
Billings, Esther; Schlicker, Steven; Novotny, Karen; Tefera, Akalu – PRIMUS, 2004
The Departments of Mathematics and Statistics at Grand Valley State University are engaged in a project to address the mathematical preparation of all its majors, including prospective elementary and secondary mathematics teachers. In this article, we describe how the mathematics and mathematics education faculty in our mathematics department…
Descriptors: Majors (Students), Mathematics Education, Learning Motivation, Mathematical Concepts