The Practical Study On Concept Maps Application In Mathematics Teaching In High School

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.