基于原始历史文献的大学数学教学模式研究与实践

A Research on Primary Historical Material-Based Mathematical Education and Its Application

在数学教学中融入数学史的相关内容是目前高校数学教学的普遍做法,但将历史文献作为主线的数学教学还不多见。本文提出了基于原始文献的数学教育(PHM2E),给出了PHM2E的教育理念、体系框架、关系模型和过程模型。以原始数学文献为基础组织教学过程,将加深对数学的理解,促进学生高阶能力的培养。通过建构式、发现式学习,充分利用原汁原味的数学文献来研究数学,探索数学概念的发生、发展过程,学习数学大师的思维方式,探索解决问题的方法,重走大师之路,主动发现新知,充分发挥数学在素质教育中的作用。

Integrating mathematical history into mathematical education is a common practice in universities, but it is rare to use historical material as the main clue during the teaching activities. An education pattern named Primary Historical Material-based Mathematical Education （ PHM2 E ） is proposed in this paper. The educational concepts, system framework, relational model and process model are given in this paper. The teaching activity is organized based on original mathematical literatures in PHM2 E. This pattern can deepen the students, understanding of mathematics and improve their high-order capability. Through constructive and discovery study using original literatures, students can explore the development process of mathematical concepts and study the mathematicians, pattern of thinking. They can explore the methods of solving problems and discovery new knowledge initiatively.