摘要
数学思想方法已经成为了一项重要的课程内容,它是提高学生数学素养的重要途径。数学思想方法与数学知识相比,具有强大的包容能力和吸附功能,它将深刻地影响学生今后的思维方式。
本文主要从四个部分进行了论述:在界定“解题教学”的基础上,分析了小学数学思想方法的含义及其分类;第二、三章,结合案例主要论述了合情推理与演绎推理在解题教学中的渗透;在前三章的基础上,第四章提出了小学数学思想方法在解题教学中渗透的策略。
关键词:合情推理;演绎推理;解题教学;渗透;策略
ABSTRACT
Nowadays ,the teaching about mathematicals thought method has become a very important curriculum content and it's a significant way on the aspects of`improving the students' mathematical literacy.Compared with mathematical knowledge,it's more powerful of tolerance and adsorption function.It will be a profound effect on students' way of thingking.
This paper is mainly divided into four parts relating, in the basis of implications of the teaching about mathematical problem-solving ; analyses the implication and usual classification of mathematics thought method;the second and third chapter , taking specific teaching cases for instant,illustrats plausible reasoning and deductive reasoning thought involves in the process of classroom teaching or solving problem; based on the first 3 chapters,the last chapter, put forward the teaching strategies in order to show how to make the infiltration of primary-school mathematical ideal methods in mathematics problem—solving teaching.
Keywords:plausible reasoning;deductive reasoning;the teaching about mathematical problem-solving; infiltration; strategies