数学变式问题解决的调查研究

发布时间：2018-11-05 08:37

【摘要】：作为科学的重要基础——数学在生活学习中的应用和推动社会发展的作用是不可估量的,对它的研究从古至今源远流长,对于那些解决了和未解决的数学问题人们步步的探索便谱写出属于数学自己的历史。数学“问题解决”一直都是数学教育研究和实践的焦点,是教育人士探讨的中心话题。对于一个数学问题的解决,并不是数学教师所追求的最终目的,而是希望培养学生举一反三的能力,也就是变式问题的解决能力。众所周知,中国的传统数学教学十分重视“变式教学”,这种教学能使得学生进一步理解巩固基础知识和熟练基本技能,然而事实上,同层次(指智力水平、基础知识相当)的学生对于同一种数学变式问题仍然表现出不同的解决能力,那么是什么因素导致的不同,本文主要针对这个问题应用测试法、案例分析法和访谈法做了研究,旨在找寻影响数学变式问题的解决的因素,并通过对数学教师的访谈,结合教学案例分析提出针对性的关于变式教学的有效建议。本文内容第一部分为引言,主要包括：研究背景,国内外研究现状,研究问题。第二部分为相关理论概述,主要阐述相关概念和关于变式教学的理论、实践,包括：变式,数学变式问题,问题解决,数学变式教学理论,数学变式问题的课堂表现形式。第三部分为研究的设计与实施,主要从研究目的、研究工具、研究方法三方面设计数学变式问题解决的调查研究并实施此研究。第四部分为研究结果的讨论,主要包括：数学变式问题解决的差异分析,数学变式问题解决的教学案例分析。第五部分为结语。
[Abstract]:As an important foundation of science, the application of mathematics in life learning and the role of promoting social development are inestimable, and its research goes back to ancient times and has a long history. For those solved and unsolved mathematical problems people step by step to explore the history of mathematics itself. Mathematics problem-solving has always been the focus of mathematics education research and practice. Solving a mathematical problem is not the ultimate goal pursued by a mathematics teacher, but the ability to cultivate students' ability to draw a lesson from one another, that is, the ability to solve a variant problem. As we all know, Chinese traditional mathematics teaching attaches great importance to "variant teaching", which enables students to further understand the consolidation of basic knowledge and proficiency in basic skills, but in fact, at the same level. Students with similar basic knowledge still show different abilities to solve the same mathematical variant problem, so what factors cause the difference? this paper mainly studies the application of test method, case analysis method and interview method to this problem. The purpose of this paper is to find out the factors that affect the solution of mathematical variant problems, and through the interview of mathematics teachers, and combining with the teaching case analysis, put forward some effective suggestions on variant teaching. The first part of this paper is the introduction, including: research background, domestic and foreign research status, research problems. The second part is an overview of relevant theories, which mainly describes the related concepts and the theory of variant teaching, practice, including: variant, mathematical variant problem, problem solving, mathematical variant teaching theory, mathematical variant problem classroom expression form. The third part is the design and implementation of the research, mainly from the research purposes, research tools, research methods, design mathematical variable problem solving investigation and implementation of this study. The fourth part is the discussion of the research results, mainly including: the difference analysis of mathematical variant problem solving, the teaching case analysis of mathematical variant problem solving. The fifth part is the conclusion.
【学位授予单位】：华中师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6

【相似文献】