核心素养指引下的中职学生数学思想培养探析——以“任意角的三角函数”为例

Exploration on the Cultivation of Mathematical Thought Among Secondary Vocational School Students Guided by Core Competence——Taking"Trigonometric Functions at Any Angle"as an Example

“授人以鱼,不如授人以渔”,学生只有领会数学思想,掌握科学的数学学习方法,养成良好的思维习惯,才能真正形成数学学习能力,有效地应用知识解决各种数学问题。文章围绕任意角的三角函数教学内容的基本特征,通过从特殊到一般、从复杂到简单、从数字到图形的教学设计,培养学生的数学思想,并强调数学思想的培养要遵循过程性原则、持续性原则、参与性原则、反复性原则、可操作性原则。

"Teaching people to fish is better than teaching them to fish."Only by understanding mathematical ideas,mastering scientific mathematical learning methods,and cultivating good thinking habits can students truly form mathematical learning abilities and effectively apply knowledge to solve various mathematical problems.The article focuses on the basic characteristics of the teaching content of trigonometric functions at any angle,and cultivates students'mathematical thinking through teaching designs from special to general,from complex to simple,and from numbers to graphics.It emphasizes that the cultivation of mathematical thinking should follow the principles of process,continuity,participation,and repetition,operability.