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基于概念图的高中数学教学的实践研究 ——以三角函数为例

【作者】 魏佳时

【导师】 陈月兰;

【作者基本信息】 华东师范大学, 学科教学(数学)(专业学位), 2017, 硕士

【副题名】以三角函数为例

【摘要】 本研究基于概念图理论,以数学课程目标为指导,以三角函数知识为载体,对上海市某高中一年级两个平行班的64名学生进行十六个课时的三角函数教学研究,旨在研究以下四个问题:如何基于概念图进行三角函数的教学?如何优化基于概念图的三角函数的教学?基于概念图的教学对教师教授三角函数有怎样的影响?基于概念图的教学对学生学习三角函数是否起促进作用?运用实验法、问卷调查、学生访谈等研究方法,进行定性与定量的分析,得出基于概念图的三角函数教学策略,并优化基于概念图的教学.在概念图使用前、使用中、使用后,研究学生的知识与技能、学习方法、情感态度以及教师的知识、能力、信念的变化.教师在教学设计、课堂教学、教学反思、作业设计、教学板书等方面运用概念图,并进一步优化概念图的绘制步骤与内容,优化教学设计与教学板书.基于概念图的教学扩展了教师的数学知识,提升教师的教学能力,增强教师指导学生学好数学的信念.基于概念图的教学能帮助学生建立良好的数学认知结构,优化学生的学习方法.长期的基于概念图的教学能促进学生更好地掌握、理解、应用三角函数知识.基于以上结论,笔者提出加强对一线教师的概念图培训、帮助学生从概念图中找到解题思路与解题方法、分层布置概念图作业等.

【Abstract】 Based on the theory of the concept map, the study is guided by the curriculum objectives of mathematics. Supported by the knowledge of trigonometric functions, the research involves 64 senior one students from two ordinary classes of a high school in Shanghai. The 16 periods of classes on trigonometric functions aim to study: how to apply the concept map to the teaching of trigonometric functions; how to optimize the teaching of trigonometric functions by the concept map; how the concept map can effect the teaching of trigonometric functions; whether the concept map will promote the teaching and learning of trigonometric functions.With the help of experimental method, questionnaire and interviews of the students, qualitative and quantitative analysis are applied to explore the teaching strategy of the concept map in trigonometric functions in high school and optimize the teaching patterns of the concept map. The change of the students’ related academic knowledge and skills, learning methods, emotional attitude and that of the teachers’ knowledge, abilities and belief are studied before, during and after the use of the concept map.The teacher applies the concept map in teaching designs, classroom teaching, teaching reflections, assignment designs and blackboard display, optimizing the drawing procedure and content of the concept map and improving teaching designs along with blackboard display. The teaching and learning of the concept map helps extend the teacher’s mathematic knowledge and teaching abilities, strengthening the teacher’s belief of instructing students well.The concept map can help students build solid mathematical cognitive structure and optimize their learning methods. The concept map involved in teaching in long term can encourage the students to better command, understand and apply the knowledge of trigonometric functions.Based on the conclusions above, the author put forward the need to improve the training of the concept map to the teachers, help students find solutions and ideas of solving math problems through the concept map, assign homework for the concept map according to different students’ abilities and so forth.

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  • 【网络出版投稿人】 华东师范大学
  • 【分类号】G633.6
  • 【下载频次】190
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