高中生数学运算能力的发展现状与培养策略研究

发布时间：2018-01-22 03:18

本文关键词： 高中生运算能力发展现状调查研究影响因素　出处：《信阳师范学院》2016年硕士论文　论文类型：学位论文

【摘要】：本论文是关于高中生数学运算能力的理论与实证研究。我国数学教育历来重视对学生数学运算能力的培养。新课程改革后,关于运算能力的教学中一些常用的、基础的知识一直在发生着变化,这就要求数学教学工作者要及时准确的掌握对高中生数学运算能力的培养,以便能够适应新形势的发展需要。基于对理论与实践背景的分析,本文将围绕以下三个问题进行研究：(1)高中生数学运算能力的水平及发展现状；(2)影响高中生数学运算能力发展的因素；(3)如何提高高中生数学运算能力。为此,研究采用质性和量化相结合的方法收集数据。研究主要分三个阶段：(1)根据文献研究、理论研究建构的思想框架及结合个人教学实践,开发了高中生数学运算能力水平测试卷和调查问卷;(2)抽取120名(有效样本100名)高中理科学生进行运算能力水平测试和问卷调查；(3)收集数据,分析量化数据,进行理论研究,查找影响高中生数学运算能力发展的因素,从而提出高中生数学运算能力的培养对策。研究发现,影响高中生数学运算能力发展的因素主要有以下几点：(1)基础知识和基本方法因素,学生对基础知识和基本方法的掌握影响着运算能力的发展；(2)数学思想方法因素,数学思想方法在数学运算中有着重要作用,学生在学习中对数学思想方法的忽视影响着数学运算能力的发展；(3)学生数学学习的非智力因素,学生的数学学习习惯、学生的意志品质和心理素质影响运算能力的发展；(4)教师教学因素,教师传统的教学观念和陈旧的教学方式影响着数学运算能力的发展。研究结果对数学教师或数学教育者的启示有三点：(1)重视基础知识、基本技能的教学,包括加强概念、公式、定理、法则等基础知识的学习和加强基本方法和技能的训练两个方面；(2)重视数学思想方法的培养,一要立足课本,充分挖掘教材中蕴含的数学思想方法,二要优化教学,反复应用数学思想方法于解题中；(3)重视非智力性因素在教学中的影响,主要从培养学生学习数学的兴趣,良好的学习习惯以及良好的运算意志品质和心理素质三个方面入手。
[Abstract]:This paper is a theoretical and empirical study on high school students' mathematical computing ability. Mathematics education in China has always attached importance to the cultivation of students' mathematical computing ability. The basic knowledge has been changing, which requires the mathematics teaching workers to master the mathematical ability of high school students in time and accurately. In order to adapt to the development of the new situation. Based on the theoretical and practical background analysis, this paper will focus on the following three issues: 1) the level and development of high school students' mathematical computing ability; (2) the factors that affect the development of high school students' mathematical arithmetic ability; 3) how to improve the mathematics ability of high school students. Therefore, the research adopts the method of combining quality and quantification to collect data. The research is mainly divided into three stages: 1) according to the literature study. The frame of thought of theoretical research and personal teaching practice are combined to develop the test paper and questionnaire of mathematics ability of senior high school students. (2) A total of 120 (100 valid samples) of senior high school science students were selected to test their operational ability and to make a questionnaire survey. 3) collect data, analyze quantitative data, carry out theoretical research, find out the factors that affect the development of high school students' mathematical arithmetic ability, and then put forward the training countermeasures of high school students' mathematical operation ability. The main factors that affect the development of high school students' mathematics operation ability are as follows: 1) basic knowledge and basic method factors, students' mastery of basic knowledge and basic methods affect the development of operational ability; (2) the factors of mathematical thought and method, which play an important role in mathematics operation, and the neglect of mathematics thought method in the study of students affect the development of mathematics operation ability; (3) the non-intelligence factors of students' mathematics learning, students' learning habits of mathematics, the quality of students' will and psychological quality affect the development of operation ability; (4) Teachers' teaching factors. Teachers' traditional teaching concepts and old teaching methods affect the development of mathematical operation ability. The research results have three points of enlightenment to mathematics teachers or mathematics educators (three points: one)) pay attention to the teaching of basic knowledge and basic skills. Including strengthening the concept, formula, theorem, law and other basic knowledge of learning and strengthening the basic methods and skills training two aspects; (2) attach importance to the cultivation of mathematical thinking methods: first, based on textbooks, fully excavating the mathematical thinking methods contained in textbooks, and second, optimizing teaching and repeatedly applying mathematical thought methods in solving problems; 3) attach importance to the influence of non-intelligence factors in teaching, mainly from the following three aspects: cultivating students' interest in learning mathematics, good study habits, good quality of calculating will and psychological quality.
【学位授予单位】：信阳师范学院
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：G633.6

【相似文献】