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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. …