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Advancing Pre-Service Teachers’ Mathematical Sophistication Via Mathematical Tasks, Kien H. Lim
Advancing Pre-Service Teachers’ Mathematical Sophistication Via Mathematical Tasks, Kien H. Lim
Kien H Lim
This article is based on the seminar that the author presented for the Hong Kong Association for Mathematics Education at the Hong Kong Baptist University on May 22, 2008. In this article, the author differentiates (a) between institutionalized mathematics and school mathematics, (b) between ways of understanding and ways of thinking as two complementary subsets of mathematics that students should develop, (c) between sophisticated learners and passive learners, and (d) between knowledge dissemination and knowledge engagement as two modes of instructions. Harel’s (2007) pedagogical principles are discussed in relation to the design of mathematical tasks and their use in classrooms. …
Mathematical Knowledge For Pre-Service Teachers, Kien H. Lim
Mathematical Knowledge For Pre-Service Teachers, Kien H. Lim
Kien H Lim
This presentation highlights Harel's notion of ways of thinking and its importance to learning mathematics. Examples of students' deficient ways of thinking are offered, categories of mathematical knowledge for teaching mathematics are presented, and relationships among ways of thinking, ways of understanding, and pedagogical content knowledge are discussed.