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Leung, Issic Kui Chiu; Ding, Lin; Leung, Allen Yuk Lun; Wong, Ngai Ying – International Journal for Mathematics Teaching and Learning, 2016
This study is part of a larger study investigating the subject matter knowledge and pedagogical content knowledge of Hong Kong prospective mathematics teachers, the relationship between the knowledge of algebraic operation and its inverse, and their teaching competency. In this paper, we address the subject matter knowledge and pedagogical content…
Descriptors: Foreign Countries, Preservice Teachers, Mathematics Teachers, Pedagogical Content Knowledge
Çelik, Derya – International Journal for Mathematics Teaching and Learning, 2015
Linear algebra is one of the most challenging topics to learn and teach in many countries. To facilitate the teaching and learning of linear algebra, priority should be given to epistemologically analyze the concepts that the undergraduate students have difficulty in conceptualizing and to define their ways of reasoning in linear algebra. After…
Descriptors: Algebra, Mathematics Instruction, Mathematical Concepts, Concept Formation
Kalder, Robin S. – International Journal for Mathematics Teaching and Learning, 2012
The National Council of Teachers of Mathematics and numerous mathematics educators promote the combination of conceptual understanding and procedural learning in the successful instruction of mathematics. Despite this, when geometric mean is taught in a typical American geometry class, it is taught as a process only despite the many connections…
Descriptors: Geometric Concepts, Mathematics Teachers, Mathematics Instruction, Secondary School Mathematics