抽离·紧扣·深度·思辨:数学课程优化思想渗透教学实践

Separation, Fastening, Depth and Speculation: the Infiltration of Mathematics Curriculum Optimization Thought into Teaching Practice

“打电话”是“综合与实践”的一个知识点,包含的信息量大、承载的数学思想多,思维含量高,在这一内容的教学中时常会出现学生参与度低、思维无法深入、探究浅尝辄止等困境。文章以优化思想为指引,通过对教材的整理分析,主张在从情境中抽离出困惑的前提下,紧扣“打电话”中的优化内核,在对比中经历优化过程,构建优化模型,在思辨中升华优化思想,让学生切实感悟解决问题中所蕴含的数学思想,积累数学经验,提高数学核心素养。

"Calling"is a knowledge point of"synthesis and practice",it contains a large amount of information,carries a lot of mathematical ideas and has a high content of thinking,there are often some difficulties in the teaching of this content,such as low student participation,unable to think deeply,shallow exploration and so on.Guided by the optimization thought and through the sorting and analysis of teaching materials,this paper advocates that on the premise of extracting confusion from the situation,closely follow the optimization core in"calling",experience the optimization process in comparison,build an optimization model,sublimate the optimization thought in speculation,let students truly understand the mathematical thought contained in solving problems and accumulate mathematical experience,improve the core competence of mathematics.