在深度探究中涵育核心素养的数学习题课实践研究——以人教A版“直线和圆的方程”复习应用习题课为例

Exploration of Mathematics Exercise Class to Cultivate Core Literacy through Deep Exploration:Taking the People's Education Press A-version"Equation of Lines and Circles"Review and Application Exercise Class as an Example

习题课是数学复习课的基本形式,对学习有着提高、深化、促进作用。传统数学习题课存在诸多弊端,已不适应新课改的要求。涵育核心素养的数学习题课以问题解决为导向、培养核心能力为目标,既注重解题的探究过程、策略及思维的方法,又关注情感、态度、价值观的培养,让学生养成“发现提出问题—分析思考问题—探究解决问题—反思拓展问题”的良好学习习惯,在完整的、持续有序的深度探究过程中构建知识和方法体系,形成良好的认知结构,提高灵活、综合运用知识创造性地解决新颖探究性问题的能力,具有巩固深化知识的教学功能、隐含思想情感的育人功能、激发创新思维的发展功能。

Exercises class is the basic form of mathematics review class,which plays a role in improving and deepening learning.Traditional math exercise classes have many drawbacks and are no longer suitable for the requirements of the new curriculum reform.The mathematics exercise class that cultivates core literacy is guided by problem-solving and aims to cultivate core abilities.It focuses on the exploration process,strategies,and thinking methods of problem-solving,as well as the cultivation of emotions,attitudes,and values.Quality exercise class enables students to develop a good learning habit of"discovering and proposing problems,analyzing and thinking about problems,exploring and solving problems,reflecting and expanding problems",constructing a knowledge and method system in a complete and continuous in-depth exploration process.Thus,it can help students form a good cognitive structure,and improve the ability to creatively solve innovative and exploratory problems through flexible and comprehensive application of knowledge,and have the teaching function of consolidating and deepening knowledge,the educational function of implicit thoughts and emotions,and the development function of stimulating innovative thinking.