数学深度学习中的知识关系建构问题论析  

An Analysis of Knowledge Relationship Construction in Mathematics Deep Learning

作　　者：王钦敏[1] 余明芳[1] Wang Qinmin;Yu Mingfang(Department of Mathematics,Fujian Institute of Education,Fuzhou Fujian 350025,China)

机构地区：[1]福建教育学院数学教研室,福州350025

出　　处：《课程．教材．教法》2022年第7期118-124,共7页Curriculum，Teaching Material and Method

基　　金：全国教育科学“十三五”规划2019年教育部重点课题“基于深度学习的高中数学概念教学研究”(DHA190444)。

摘　　要：知识关系建构是众多学习理论研究的关键问题,也是数学深度学习的重要内涵与主要思维特征。忽视知识关系建构重要性易导致两个问题:使课堂教学异化为例习题教学;使学生无法掌握解题策略与基本思想。重视并善于进行知识关系建构的数学教学具有显著成效的主要原因:可帮助学生构筑扎实的学习基础;可帮助学生增强知识应用能力。借由知识关系建构促进数学深度学习的教学进路与方略:以探究示范教学,引导学生研究知识纵横关系与“簇知识”;促成“结构性理解”,启发学生感悟作为知识结构精髓的数学思想。Knowledge relationship construction is a key issue in many learning theory studies,and it is also an important connotation and main thinking feature of mathematics deep learning.Neglecting the importance of knowledge relationship construction can result in two problems:alienating classroom teaching into teaching example exercises and keeping students from mastering problem-solving strategies and basic ideas.The main reasons for the effectiveness of mathematics instruction that emphasizes and engages in the relational construction of knowledge are that it helps students build a solid foundation for learning and that it helps students enhance their ability to apply knowledge.The pedagogical approaches to mathematics deep learning through knowledge relationships construction are exploring demonstrative teaching to guide students to investigate the relationships of knowledge and"clusters of knowledge",and promoting"structural understanding"to inspire students to understand mathematics ideas as the essence of knowledge structures.

关 键 词：数学 深度学习 知识关系建构 

分 类 号：G633.6[文化科学—教育学]