深化数学理解:教师引导学生解题反思的策略与实践  

Deepening Mathematical Understanding:Strategies and Practices for Student Problem-Solving Reflection

作　　者：汤建平 TANG Jianping(Daishan School,Huzhou 313000,China)

机构地区：[1]戴山学校,浙江湖州313000

出　　处：《湖州师范学院学报》2025年第2期105-110,共6页Journal of Huzhou University

基　　金：湖州市教育科学规划课题(HZGH21014)。

摘　　要：学生的解题反思是学习过程中不可或缺的重要环节,是学生对所学知识进行再思考和重检验的过程。立足数学知识、数学思想、数学方法三个解题反思的“着力点”,深入剖析解题思路—解题步骤—解题规律这一解题反思的“主线”,形成解题反思的四个“面”,即解题过程的严密性、解题方式的简捷性、条件结论的变通性、解题书写的规范性,并在解题反思过程中深化学生对数学知识的理解,推动数学的高效学习。The reflection of students on problem-solving is an essential component of the learning process,serving as a mechanism for students to re-evaluate their understanding and methods.By identifying key focal points in problem-solving reflection(mathematical knowledge,reasoning,and methods),dissecting the main pathways of reflection(comprising thought processes,solution steps,and patterns),and establishing a comprehensive framework that encompasses the rigor of the problem-solving process,the efficiency of the methods employed,the adaptability of conditions and conclusions,and the adherence to writing conventions,I articulate strategies for enhancing students'reflective practices.This reflective process not only optimizes problem-solving but also deepens students'mathematical understanding,thereby advancing effective learning in mathematics.

关 键 词：解题反思 问题解决 数学理解 

分 类 号：G623.5[文化科学—教育学]