MATH 4000 Lecture Notes - Lecture 1: Externals, Greek Mathematics, List Of Mathematical Symbols

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Such tools, define the nature of mathematical practice: knowledge on subject matter isn"t sufficient. Teachers should also concentrate on conceptual tools such as problem-solving approaches, which, constitute an important category of knowledge different from the subject matter category, What is the basis for the argument that both categories are needed: the answer to these questions draw upon epistemological, cognitive and pedagogical considerations, these answers are situation within the dnr, duality, necessity, and repeated reasoning. This subset consists of all the institutionalized ways of understanding in mathematics throughout history. Denoted wou: the second subset consists of all the ways of thinking, which are characteristics of the mental acts whose products comprise the first set. By this definition, mathematics is like aliving organism. It grows continually as mathematicians carry out mental acts and their mathematical communities assimilate the ways of understanding and ways of thinking associated with the mathematicians mental acts.

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