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Ko, Yi-Yin; Knuth, Eric J. – Journal of Mathematical Behavior, 2013
Validating proofs and counterexamples across content domains is considered vital practices for undergraduate students to advance their mathematical reasoning and knowledge. To date, not enough is known about the ways mathematics majors determine the validity of arguments in the domains of algebra, analysis, geometry, and number theory--the domains…
Descriptors: Mathematical Logic, Validity, Majors (Students), Undergraduate Students
Portnoy, Neil; Grundmeier, Todd A.; Graham, Karen J. – Journal of Mathematical Behavior, 2006
This research explored students' views of geometric objects through the implementation of a curriculum module that allowed them to explore the relationships between transformational geometry and linear algebra. The majority of the students were middle and secondary mathematics education majors enrolled in a one-semester geometry course that is…
Descriptors: Education Majors, Mathematics Education, Transformations (Mathematics), Geometric Concepts