高中三角学习困难的成因分析与教学建议
发布时间：2018-07-15 12:05
【摘要】：三角是高中数学的重要内容,富含深刻的数学思想,是研究和解决数学问题的重要工具.通过分析教材内容发现:高中三角不仅内容较多、概念较抽象、公式繁多,而且课时较少,因此三角内容也是学生学习的难点.为了探讨并优化高中三角的学法和教法,解决高中生三角学习困难和教师教学困难的问题,提高学习效率和教学效率,帮助教师更好地实现教学目标,让学生在三角学习中夯实双基,发展能力.用自编的“高中三角学习情况调查问卷”,对学生学习高中三角的情况进行了调查并作了分析.调查发现,影响学生三角学习的因素有客观因素和主观因素.其中客观因素包括三角内容较多,概念较抽象学生难以理解,三角恒等变换难度大学生难以掌握,教学课时较少等;主观因素包括学习兴趣、学习情感、学习意志.还采用其他学者编制的“关于高中教师三角教学基本情况及教学态度的调查问卷”,对教师的教学进行调查,并作了分析,结果发现教师的教学态度及教学方式都对学生的学习效果有影响.针对学生学习三角困难的原因,提出以下教学建议:(1)重视培养学生浓厚的学习兴趣、积极主动的学习情感、克服学习困难的坚强意志等非智力因素;(2)加强学习方法的指导;(3)新课教学应充分展示知识的生成过程;(4)三角恒等变换教学应重视公式的活学活用;(5)教学过程中应该让学生体会到丰富的数学思想.
[Abstract]:Triangle is an important content of high school mathematics, rich in profound mathematical ideas, and an important tool to study and solve mathematical problems. By analyzing the content of the textbook, it is found that the triangle in senior high school is not only more in content, abstract in concept, various in formula, but also less in class time, so the triangular content is also a difficult point for students to learn. In order to discuss and optimize the learning method and teaching method of high school triangle, to solve the problems of high school students' triangle learning difficulties and teachers' teaching difficulties, to improve the learning efficiency and teaching efficiency, and to help teachers achieve their teaching goals better. Let students in triangulation learning tamp double base, develop ability. This paper investigates and analyzes the situation of students' learning triangle in senior high school by using the questionnaire of triangle learning in senior high school. The investigation shows that there are objective and subjective factors that affect students' triangular learning. Among them, the objective factors include more triangular content, more abstract concepts, difficult for students to master the transformation of triangle identity, less teaching time, and so on; subjective factors include learning interest, learning emotion, learning will. Using the questionnaire on the basic situation and attitude of Senior Middle School Teachers' Triangle Teaching, which was compiled by other scholars, the author also investigated the teachers' teaching and made an analysis. The results show that teachers' teaching attitude and teaching methods have an effect on students' learning. In view of the reasons of students' learning triangulation difficulties, the following teaching suggestions are put forward: (1) pay attention to cultivating students' strong learning interest and actively learning emotion, Non-intelligence factors such as strong will to overcome learning difficulties; (2) strengthening the guidance of learning methods; (3) the process of knowledge generation should be fully demonstrated in the teaching of new courses; (4) the teaching of triangular identity transformation should attach importance to the active use of formulas; (5) in the course of teaching, it is necessary to pay attention to the active use of formulas. Students should be made aware of the rich mathematical ideas.
【学位授予单位】：四川师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6
本文编号：2124016
[Abstract]:Triangle is an important content of high school mathematics, rich in profound mathematical ideas, and an important tool to study and solve mathematical problems. By analyzing the content of the textbook, it is found that the triangle in senior high school is not only more in content, abstract in concept, various in formula, but also less in class time, so the triangular content is also a difficult point for students to learn. In order to discuss and optimize the learning method and teaching method of high school triangle, to solve the problems of high school students' triangle learning difficulties and teachers' teaching difficulties, to improve the learning efficiency and teaching efficiency, and to help teachers achieve their teaching goals better. Let students in triangulation learning tamp double base, develop ability. This paper investigates and analyzes the situation of students' learning triangle in senior high school by using the questionnaire of triangle learning in senior high school. The investigation shows that there are objective and subjective factors that affect students' triangular learning. Among them, the objective factors include more triangular content, more abstract concepts, difficult for students to master the transformation of triangle identity, less teaching time, and so on; subjective factors include learning interest, learning emotion, learning will. Using the questionnaire on the basic situation and attitude of Senior Middle School Teachers' Triangle Teaching, which was compiled by other scholars, the author also investigated the teachers' teaching and made an analysis. The results show that teachers' teaching attitude and teaching methods have an effect on students' learning. In view of the reasons of students' learning triangulation difficulties, the following teaching suggestions are put forward: (1) pay attention to cultivating students' strong learning interest and actively learning emotion, Non-intelligence factors such as strong will to overcome learning difficulties; (2) strengthening the guidance of learning methods; (3) the process of knowledge generation should be fully demonstrated in the teaching of new courses; (4) the teaching of triangular identity transformation should attach importance to the active use of formulas; (5) in the course of teaching, it is necessary to pay attention to the active use of formulas. Students should be made aware of the rich mathematical ideas.
【学位授予单位】：四川师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6
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