HPM视角下“任意角三角函数的概念”教学研究

三角函数是高中学习中重要的基本初等函数之一,是体现现实世界周期性思想重要的一个数学模型.要正确的理解三角函数周期性的思想,需要正确的认识初高中三角函数概念的区别与联系.发生教学法是HPM视角下数学教学设计的基本理论,根据历史发生顺序对教学内容进行整合重构,以此进行教学设计.教学实践表明,此种教学方式有助于学生理解三角函数的概念.

Perspective of HPM under the Concept of ＂Arbitrary Angle Trigonometric Function＂ Teaching Research

Trigonometric functions is one of the important basic functions in high school. It is a manifestation of the real world and is a mathematical important cyclical thinking model. To properly understand the idea of periodic trigonometric functions. Occurred under the HPM is the basic theory pedagogy of mathematics instructional design perspective, according to the historical order of occurrence of the teaching content integration reconstruction, in order to instructional design. The practice shows that such teaching methods to help students understand the concept of trigonometric functions.