论文部分内容阅读
数学变式教学是通过变更数学概念的非本质特征来暴露问题本质特征的教学方法,即在数学教学中用不同形式的直观材料或事例说明概念、定理、命题的本质属性,对数学的定理和命题的非本质特征进行不同角度、不同层次、不同情形、不同背景的变化,以突出它们的本质特征,揭示不同知识点的内在联系的一种教学方法。通过教学中的案例,提出在高中数学课堂教学中进行变式教学,着重介绍在形成和明确数学概念、理解数学定理、数学解题教学过程中进行变式训练。变式既是一种重要的思想方法,是一种在认识事物、分析问题时带有创造性思维的求异、思变的思想,又是一种重要的教学途径。采用变式方式进行数学课堂教学是“双基”教学、思维训练和能力培养的重要途径。
Mathematical variant teaching is a teaching method that exposes the essential characteristics of the problem by changing the non-essential characteristics of mathematical concepts, that is, using different forms of intuitive materials or examples in mathematics teaching to explain concepts, theorems, the essential attributes of propositions, the mathematical theorems and Propositions of non-essential characteristics of different angles, different levels, different situations, different backgrounds, in order to highlight their essential characteristics, to reveal the inherent relationship between different points of knowledge of a teaching method. Through the teaching case, this paper puts forward the teaching of variant teaching in the high school mathematics classroom teaching, emphasizing on the variant training in the process of forming and clarifying the mathematical concepts, understanding the mathematical theorems and teaching mathematics problems. Variations are not only an important way of thinking, but also an idea of seeking differences and thinking with creative thinking while understanding things and analyzing problems, and also an important way of teaching. Using variant way of mathematics classroom teaching is an important way of “double base” teaching, thinking training and ability cultivation.