小学数学教学中思想方法渗透的策略研究

发布时间：2018-07-27 12:35

【摘要】：数学思想方法作为数学学习的精髓,是学生形成良好认知结构与数学素养的关键所在。本文基于《义务教育数学课程标准(2011年版)》提出的“四基”中“数学思想”目标,以苏教版实验教材为例,主要解决以下三个问题：一是教学中为什么要渗透数学思想方法；二是小学数学教材中蕴含了哪些数学思想方法；三是在教学过程中如何有效的渗透数学思想方法。本研究通过对数学思想方法文献资料的阅读与分析,主要从理论和实践两个方面进行了阐述。理论上,在界定了数学思想方法的内涵、主要特征的基础上,阐述了数学思想方法的教育价值,并归纳概括出了小学数学教学中常见的几种数学思想方法：分类、归纳、演绎、抽象、转化、数形结合与模型思想；实践中,结合教材中的具体教学案例,分别对分类思想、数形结合思想、抽象思想、模型思想、推理思想和符号化思想总结出在小学数学教学中渗透数学思想方法的教学策略；最后,基于教学现状分析了影响小学数学教学中有效渗透数学思想方法的一些因素。
[Abstract]:As the quintessence of mathematics learning, mathematical thought method is the key to forming good cognitive structure and mathematics accomplishment. Based on the goal of "Mathematical thought" in the "four bases" proposed by the Mathematics Curriculum Standard of compulsory Education (2011 edition), this paper takes the experimental teaching material of the Su Education Edition as an example to solve the following three problems: first, why should we infiltrate the mathematical thought method in the teaching; The second is which mathematics thought methods are contained in the elementary school mathematics teaching material, and the third is how to infiltrate the mathematics thought method effectively in the teaching process. Based on the reading and analysis of the literature on mathematical thought and methods, this study mainly expounds from two aspects: theory and practice. Theoretically, on the basis of defining the connotation and main characteristics of mathematical thought method, this paper expounds the educational value of mathematical thought method, and summarizes several common mathematical thought methods in mathematics teaching in primary school: classification, induction, deduction, and so on. In practice, in combination with the specific teaching cases in the teaching material, the classification thought, the combination of the number and form thought, the abstract thought, the model thought, the classification thought, the form combination thought, the abstract thought, the model thought, The reasoning thought and symbolic thought summarize the teaching strategy of infiltrating mathematics thought method in primary school mathematics teaching. Finally, based on the present teaching situation, some factors influencing the effective infiltration of mathematics thought method in primary school mathematics teaching are analyzed.
【学位授予单位】：南京师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G623.5

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