“回顾与思考”专栏蕴含的数学思想方法和教学思考——以人教A版高中数学教材“数与代数”为例

The Mathematical Thinking Method and Teaching Thinking in “Review and Thinking” Column —Taking the People’s Education Press Version A High School Mathematics Textbook “Number and Algebra” as an Example

高中数学教材中的“回顾与思考”专栏的设置不但有助于师生明确各章节的知识内容,并在揭示知识间联系、感受数学思想方法、形成完善的知识方法体系等有很好的价值。但目前“回顾与思考”专栏的使用情况非常不乐观,基本上形同虚设,没有发挥其应有的作用,而目前关于该专栏所藴含的数学思想方法和教学思考鲜有学者进行探讨。文章以人教A版高中数学教材中数与代数为例,就其中“回顾与思考”所渗透的数学思想方法进行提炼,并给出教学思考,以期教师能够重视教材,回归课本“原点”。

The setting of “Review and Thinking” column in senior high school mathematics textbooks is not only helpful for teachers and students to clarify the knowledge content of each chapter, it is of great value in revealing the relationship between knowledge, feeling mathematical thinking and methods, and forming a perfect knowledge and method system. But at present, the use of the column “Review and Thinking” is not optimistic and has not played its due role, at present, few scholars have discussed the mathematical thinking and teaching thinking in this column. The article takes the “numbers and algebra” from the People’s Education Press version A high school mathematics textbook as an example, this paper refines the mathematical thinking method permeated by “Review and Thinking” in the Senior High School Mathematics Textbook of People’s Education (A Edi-tion), and gives the teaching thinking so that teachers can attach importance to the textbook, go back to the textbook.