初中代数式教学研究

发布时间：2018-03-21 18:06

本文选题：初中数学　切入点：代数式　出处：《内蒙古师范大学》2015年硕士论文　论文类型：学位论文

【摘要】：代数式是初中数学中“数与代数”的重要组成部分,是初中数学中最基本的内容之一,是小学算术和初中代数内容衔接的桥梁,也是初中一年级学生开始就要接触的入门数学知识。代数式的引入是数学符号化的基础,也是学习函数知识的基础,又是数学语言训练的载体。为了能使代数式的教学更加有效,同时代数式教学提供一定的参考价值,研究它有很大的必要性。本文共分为五个部分,具体内容概述如下：第一部分：绪论。主要阐述了代数式教学中教师教的问题和学生学的问题,研究目的与意义以及研究现状和代数式教学研究的一些研究方法和创新之处。第二部分：代数式相关内容概述。阐述了代数式概念的界定,教科书中的整式、分式和二次根式的相关内容与分析,代数式的表征,自然语言(文字语言)符号语言与图形语言间的相互转化问题。第三部分：代数式教学现状调查。调查了包含它的概念、表征(包括代数式的读和写)、运算、性质和综合应用等五个方面内容的测试卷,并对调查结果进行了正态性检验、单因素方差分析和单一样本均值检验的统计分析,同时访谈了部分教师和学生。第四部分：代数式教学设计与教学案例。对代数式进行了相关内容的教学设计,并在此基础上深入学校对代数式相关内容进行了实际教学,并以教学案例的形式进行展示。第五部分：结论和建议。该部分总结了相关研究的结论,并在此基础上提出了一些更加有效的教学建议和需要进一步研究的代数式教学的相关问题。
[Abstract]:Algebraic formula is an important part of "number and algebra" in junior high school mathematics. It is one of the most basic contents in junior high school mathematics. It is the bridge between elementary school arithmetic and middle school algebra. The introduction of algebraic formulas is the basis of mathematical symbolization and the basis of learning function knowledge. It is also the carrier of mathematical language training. In order to make the teaching of algebraic form more effective, and at the same time to provide certain reference value for the teaching of algebraic form, it is necessary to study it. This paper is divided into five parts. The specific contents are summarized as follows: the first part: introduction. It mainly expounds the problems that teachers teach and students learn in algebraic teaching. The purpose and significance of the study, as well as the present research situation and some research methods and innovations of the algebraic teaching and research. Part two: an overview of the related contents of the algebraic formula, the definition of the concept of the algebraic formula, the integral formula in the textbook, The contents and analysis of fraction and quadratic root, the representation of algebraic form, the mutual transformation between natural language (character language) symbol language and graphic language. Part three: the investigation of the present situation of algebraic teaching. The test papers including the reading and writing of algebraic expressions, the operation, the properties and the comprehensive application are presented. The results are tested by normality test, single factor variance analysis and single sample mean test. At the same time, some teachers and students are interviewed. The fourth part: algebraic teaching design and teaching cases. The fifth part: conclusions and recommendations. This part summarizes the conclusions of relevant research. On the basis of this, some more effective teaching suggestions and related problems of algebraic teaching are put forward.
【学位授予单位】：内蒙古师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6

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