基于HPM视角的初等数论课程教学探究

Research on Teaching of Elementary Number Theory Course in the View of HPM

初等数论课程的开设对数学类师范生的专业学习与后续发展具有重要的作用。如何教好这一课程,这是摆在我们教育者面前的一个亟须解决的问题。HPM是专门研究数学史与数学教育间关系,基于HPM视角下课程教学为解决这一问题提供了一个行之有效的途径。本文基于HPM视角,从HPM对初等数论课程教学的作用,以及对课程中的不定方程、同余式、素数等内容的实践教学进行探究,以期对课程教育者有所帮助。

The opening of course of elementary number theory plays an important role in the professional learning and follow-up development for normal students of mathematics. How to teach this course well is an urgent problem for educators. HPM is a special research on the relationship between mathematics history and mathematics education, which provides an effective way to solve this problem. From the perspective of HPM, the role of HPM in the teaching of elementary number theory and the practical teaching of indefinite equation, congruence and prime number in this course are studied in this paper, hoping to offer help for educators of this course.