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Cox, Dana C.; Lo, Jane-Jane – North American Chapter of the International Group for the Psychology of Mathematics Education, 2019
As a component of a course on geometry for preservice elementary teachers (PSTs), we derive area formulas for a variety of polygons including triangles, quadrilaterals, and both regular and irregular shapes whose areas can be measured empirically using decomposition. Decomposing a circle to justify why its area can be measured using the standard…
Descriptors: Mathematics Instruction, Geometry, Preservice Teacher Education, Elementary School Teachers
Lo, Jane-Jane; Cox, Dana Christine – North American Chapter of the International Group for the Psychology of Mathematics Education, 2018
Teaching geometry courses for preservice elementary teachers, we observed that difficulty with classifying shapes (and, in particular, composite 3-D shapes) persists even after work with simple shapes to support the writing of accurate and unambiguous definitions. We conducted a self-study of our teaching of 3-D concepts to uncover the concept…
Descriptors: Definitions, Geometric Concepts, Concept Formation, Preservice Teachers
Tobias, Jennifer M.; Olanoff, Dana; Lo, Jane-Jane – North American Chapter of the International Group for the Psychology of Mathematics Education, 2012
This paper describes a synthesis conducted to determine what research says regarding preservice teachers' understanding of fractions and identify the gaps in their existing knowledge basis. Specifically, this paper will address a smaller portion of the synthesis and report the findings from fraction multiplication and division topics. Results…
Descriptors: Teacher Characteristics, Mathematics Instruction, Preservice Teachers, Preservice Teacher Education