摘要
数学思想方法是数学的灵魂.数学思想方法是数学活动实践经验的概括,是一种文化传承和发展.实践是产生思想方法的源泉,概括是产生数学思想方法的关键,数学思想方法的概括是对具体方法的一般化、程序化和模式化加工过程.数学思想方法的学习需要经历模仿体验、明朗化、运用巩固和联系发展4个基本阶段.由此可得数学思想方法教学的基本策略是:(1)在数学活动中渗透;(2)在反思总结中概括;(3)在运用训练中巩固;(4)在相互联系中发展.
Mathematical thinking is the soul of mathematics.The mathematical think and method is abstracted from mathematics activity experience,is a kind of inheritance and development for mathematics cultural.Mathematics practice activity is the source of mathematical think and method,abstract is the key for producing mathematical think and method.abstraction of the mathematical think and method is a process of generalizing,programming,and moding of specific method.The process of learning mathematical think and method has four basic phase: Operating and experiencing,clearing,application and consolidating,interconnecting to each other.The teaching strategies of mathematical think and method are:(1) Penetrating in the mathematics activities;(2) Abstracting in the process of reflection and summary;(3) Consolidating in the process of application training;(4) Developing in the process of interconnecting to each other.
出处
《数学教育学报》
CSSCI
北大核心
2014年第3期11-15,共5页
Journal of Mathematics Education
基金
全国教育科学“十一五”规划2010年教育部重点课题——中小学数学课程核心内容及其教学的研究(GOA107010)
浙江省2014年教育科学规划课题——基于脑、适于脑和发展脑的数学教学实践研究(2014SC295)
关键词
思想方法
教学策略
数学史
the mathematical think and method
teaching strategies
history of mathematics
