高中数学新旧教科书中“圆锥曲线”的比较研究

发布时间：2018-01-03 08:08

本文关键词：高中数学新旧教科书中“圆锥曲线”的比较研究　出处：《新疆师范大学》2017年硕士论文　论文类型：学位论文

【摘要】：人教版教科书自使用以来经历了多次的改革,每一次改革对学生和教师而言都是一次新的考验.圆锥曲线部分在多次课程改革中都有较大的变动,产生了哪些变动?为什么会有这些变动?这些变动反应了什么?教师应如何应对这些变动?基于上述问题,本研究对人教版1990版、2003版、2007版三个版本的数学教科书中的“圆锥曲线”部分进行研究.采用文本分析法与比较研究法,从教学目标、章节内容、引入环节、第二定义、几何性质、例题习题、坐标系与参数方程、阅读材料、光学性质九个方面对人教版新旧教科书中圆锥曲线进行详细比较研究.结果表明:1990版教科书包含的知识点内容较多,新知识的呈现较少注重知识的发生发展过程,对学生的要求也较高.2003版教科书包含知识点内容减少,删除繁难知识,开始注重几何直观.2007版教科书在2003版教科书内容的基础上适当添加部分知识点,分为选修和必修,注重基础的前提下,满足更高一层的数学需求.三版教科书都包含圆锥曲线的第一定义与简单几何性质,都在不同程度的渗透着数学思想方法,都对知识的运用提出要求.但是新版教科书相比较与旧版教科书以下明显的特点:(1)新版教科书将学生的数学应用意识作为重要内容.(2)新版教科书的编写注重学生的认知基础.新知识的引入建立在学生已有旧知识之上,使得新知识更易被学生接受.(3)新版教科书更加注重揭示知识的本质.(4)新版教科书注重信息技术与数学课程的整合.对教材比较的结果的之上,对教师的教学与教科书的编写提出了自己的建议,教师应从圆锥曲线的统一性理解知识,了解教科书编写的意图,在学科知识与教法知识都应不断学习与提升.最后在教科书的编写上提出值得商榷的意见.
[Abstract]:The textbook has undergone many reforms since it was used, and each reform is a new test for students and teachers. The conic part has great changes in many curriculum reforms. What changes have been made? Why are these changes? What do these changes reflect? How should teachers cope with these changes? Based on the above problems, this study studies the "conic" part of the three editions of mathematics textbooks in the 1990 / 2003 / 2007 edition, which is based on text analysis and comparative study. From the teaching objectives, chapter content, the introduction of links, the second definition, geometric properties, examples of exercises, coordinates and parameter equations, reading materials. The conic curves in the new and old textbooks are compared in nine aspects of optical properties, and the results show that the content of knowledge points in the version of "1: 1990" is much more. The presentation of new knowledge pays less attention to the process of the occurrence and development of knowledge, and the requirements for students are also higher. The textbook of 2003 contains fewer knowledge points and removes complex and difficult knowledge. Begin to pay attention to geometry intuitionistic. 2007 edition textbook in the 2003 edition of the textbook content on the basis of the appropriate addition of some knowledge points, divided into elective and compulsory, pay attention to the premise of the foundation. The third edition of the textbook contains the first definition of conic curve and simple geometric properties, which are permeated with mathematical thinking methods in varying degrees. However, compared with the old version of the textbook, the new version of the textbook has the following obvious characteristics: 1) the new version of the textbook takes the students' consciousness of mathematics application as an important content. The compilation of the new textbook pays attention to the students' cognitive foundation. The introduction of new knowledge is based on the students' existing old knowledge. Make the new knowledge more easily accepted by students. 3) the new edition of textbooks pay more attention to revealing the essence of knowledge. 4) the new edition of textbooks pay attention to the integration of information technology and mathematics curriculum. This paper puts forward some suggestions on the teaching of teachers and the compilation of textbooks. Teachers should understand the knowledge from the unity of conic curves and understand the intention of compiling textbooks. The subject knowledge and the teaching method knowledge should be continuously studied and promoted. Finally, some suggestions are put forward on the compilation of textbooks.
【学位授予单位】：新疆师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6

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