基于数学史的数学概念教学模式探索——以“弧度制”教学为例

Exploration of Mathematics Conceptual Teaching Model Based on the History of Mathematics--Taking the teaching of“Radian System”as an Example

数学概念是数学学习的基础,数学概念教学对数学教学至关重要.在概念教学中介绍数学概念的历史发展,有助于帮助学生理解概念,形成完整的概念体系.基于数学史对数学概念教学模式进行探索,构建引入历史使概念发现化、创设情境使概念具体化、合作探究使概念抽象化、精准定义使概念规范化、正确应用使概念理解化五个环节的概念教学模式,并以“弧度制”教学为例进行教学实践.

Mathematical concepts is the foundation of mathematics learning,and mathematics concept teaching is very important to to math instruction.In concept teaching,introducing the historical development of mathematical concept is helpful to help students understand the concept and form a complete concept system.Based on the history of mathematics,this paper explores the teaching model of mathematics concept,and constructs the concept teaching mode of historical development(concept discovery),creating situation(concept concretization),cooperative exploration(concept abstraction),pointing out concept(concept normalization),and applying concept(concept understanding).This paper takes“radian system”as an example for teaching practice.