Lecturing organization order and quasi-empiricism
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The present paper considers three fundamental problems on mathematics, namely what mathematics is, why we study mathematics, how we teach and learn mathematics. These problems can be corresponded to four issues on the philosophy of mathematics education suggested by Ernest, that is, the mathematical philosophy, the aim of mathematical education, the nature of teaching and learning respectively. Among them, we focus on the relationship between the mathematical education and the mathematical philosophy. Lecturing organization order is one of the ways of teaching and learning in mathematical education. It is a combination of historical order and theoretical organization order. Quasi-empiricism is one of schools of fallibillism(relativism) in mathematical philosophy, which is originated by Lakatos. The main interest of the paper is to investigate on the theoretical foundation of lecturing organization order in the context of quasi-empiricism. Then we establish several features of lecturing organization order in mathematical philosophy and give certain related suggestions on mathematical education.
Abstract
The present paper considers three fundamental problems on mathematics, namely what mathematics is, why we study mathematics, how we teach and learn mathematics. These problems can be corresponded to four issues on the philosophy of mathematics education suggested by Ernest, that is, the mathematical philosophy, the aim of mathematical education, the nature of teaching and learning respectively. Among them, we focus on the relationship between the mathematical education and the mathematical philosophy. Lecturing organization order is one of the ways of teaching and learning in mathematical education. It is a combination of historical order and theoretical organization order. Quasi-empiricism is one of schools of fallibillism(relativism) in mathematical philosophy, which is originated by Lakatos. The main interest of the paper is to investigate on the theoretical foundation of lecturing organization order in the context of quasi-empiricism. Then we establish several features of lecturing organization order in mathematical philosophy and give certain related suggestions on mathematical education.
참고문헌 (19)
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