信息技术环境下问题解决教学实证研究

Empirical Study on Teaching of Problem Solvingin the Framework of Information Technology

数学是一门研究事物抽象的量及其关系的特殊学科,特别是随着以计算机和网络技术为核心的现代信息技术的迅猛发展,数学学科在本质上越来越表现出其特有的二重性。本文以信息技术与数学课程深层次整合为研究视角,以充分体现数学二重性特征的问题解决教学设计为研究对象,以建构主义学习理论、弗赖登塔尔数学教育思想、何克抗的创造性思维理论和"主导—主体"教学结构等理论为基础,构建了信息技术环境下数学问题解决教学设计概念图,通过持续深入地行动研究对所构建的理论与方法进行了阶段性数学课程教学的实践检验、改进和完善。实证研究表明,信息技术环境下数学问题解决教学的理论与方法能够为信息技术与数学课程深层次整合提供较系统的理论支持与方法导引,能够有效地指导一线数学教师在教学实践中开展信息技术环境下数学问题解决教学设计和实践,促进学习者的认知发展和高级思维技能与问题解决能力的提高,提高数学学习的效率和效果。

With the fantastic development of computer and information technology,mathematics is essentially showing its unique duality.This paper designed a concept map for teaching of problem-solving in mathematic from the perspectives of integrating information technology and mathematics curriculum.Based on constructivism,Freudenthal's mathematic education thought and He Kekang's Creative Thinking Theory and 'dominant-subject' teaching structure,this paper studied the possibilities for practical test and improvement of teaching of mathematics.The research showed that the theories and methods of teaching of problem-solving in mathematics under the context of information technology could provide systematic theory support and guidance to integration between information technology and mathematics curriculum.They were possible to effectively promote learners' cognitive development,high-level thinking skills and problem-solving abilities,resulting in a improved effect of learning of mathematics.