数学概括能力及应用

Summarizing Ability and Its Application in Math Learning

研究了数学概括能力的形成过程。数学概括能力应贯穿在数学学习的全过程之中。集中表现在数学概念的概括是数学概括的基础;数学运算概括是解决数学问题的基本技能;数学问题解决模式化是数学思维方法的概括和归纳;提炼解题通法是数学方法论的概括;探究逻辑关系是数学概括的理性升华。

Summarizing ability in math learning formed in the whole process of teaching and learning. Summarizing math conception is the basis; summarizing math operation is the basic skill to solve math problems; using math patterns to solve math problems is the summarization and induction of math thinking methods; abstracting the common solutions is to summarize math methodology; exploring logical relations is to sublimate the summarization.