Teaching Research Of The Geometer's Sketchpad-based Mathematical Experiment In Senior High Schools

In the tide of the contemporary teaching and educational reform, how to improve the classroom teaching quality has become a hot topic with which everyone is concerned . As an intuitional teaching method, mathematic experiment is used to solve many problems which can't be solved with the traditional teaching method and has become a new task that people pay great attention to. But because of the limit of the teaching conditions and the assessment of the students in the middle school, the mathematic experiment hasn't been fully expounded and applied. This thesis is to study the mathematic experiment from its two sides--- overview of theory and practice design by combining daily senior high school teaching fulfillment. Theoretically, it analyzes the advantages of the Geometer' s Sketchpad-based mathematic experiment teaching under network technology over the traditional teaching. The thesis is to analyze how the mathematic experiment affects students'learning in the way of experiment study and questionnaire.The Geometer' s Sketchpad-based mathematic experiment is a mathematical exploring activity in the senior high school curriculum standard that experimenters use the Geometer's Sketchpad and some matter means to conduct in the mathematical thinking way, in the experimental environment of thinking or in the specially-appointed mathematical conditions in order to get a certain mathematical theory, check a certain mathematical guess, solve a certain mathematical problem. In the modern experiment research, teachers should appropriately use mathematical experiment, establish the problem scene, guide students to take part in practice, independently investigate and cooperate and intercourse so as to discover problems,put forward guess and verify guess and creatively solve problems.The whole thesis probes into The Geometer' s Sketchpad-based"mathematical experiment"teaching in senior high schools from four sides.1. Carrying out the"mathematical experiment"teaching in senior high schools is the requirement and the inevitable trend of the modern mathematical education. In this thesis, I talk about the recognition of mathematical experiment by combining my own teaching experience and according to the study on mathematical experiment at home and abroad, expound the necessity of carrying out mathematical experiment according to the necessity of the teaching reform and the course reform, and analyze the function of carrying out mathematics experiment in senior high schools.2. By analyzing the function and characteristics of the Geometer' s Sketchpad software, this thesis expounds the possibility of using the Geometer' s Sketchpad to teaching mathematics. The Geometer' s Sketchpad is an individual tool facing to courses. This tool can improve the classroom teaching result and also can help students to master the inside nature of courses in real practice, cultivate their observation ability and their ability of solving problems and develop their thinking ability.3. By combining the reality, this thesis probes into how to carry out mathematical experiment in senior high schools, including basic mode, target, principle, type and teaching design. This thesis carries on the covariance, research and analysis about study result and study interest and study conviction between the class which opens an exhibition experiment teaching and the one which doesn't open an exhibition experiment teaching.4. This thesis makes conclusions as follows by analyzing experimental data, combining a questionnaire, individual case interview:(1) The application of the Geometer' s Sketchpad in the mathematical experiment teaching can change teaches'teaching ways and change students'learning ways .The Geometer' s Sketchpad's getting into classrooms changes the mathematical teaching process, changes teachers teaching methods and effectively improves students'learning. Students can operate, observe, analyze, and discover some contents of courses in person. It is not necessary to use the teaching method of"the teacher speaking and the students listening". The new teaching mode appears. Students turns from passively listening to carrying on experiment in person and experiences the occurrence and formation process of knowledge . There is an experimental topic, an experimental purpose and an experimental process and finally students fill in an experimental report. It establishes a mathematical background, lets students turn from listening to mathematics to doing mathematics and investigating mathematics in person, which greatly stimulate the active for studying. Students have a chance to communicate with geometry graph, geometry signs, geometry language.(2) The Geometer' s Sketchpad-based mathematic experiment can improve students'learning attitude, raise students'learning interest and strengthen the poor study students'confidence and it is beneficial to the improvement of students'scores. The application of the Geometer' s Sketchpad software in experimental classes can not only carry on a number calculation expediently, can also easily carry on a mathematical expression simplification and drawing. It can let students use a modern method to deal with mathematical problems, discover problems.By doing mathematical experiment, students can acquire a true, fresh and clear and vivid concrete process, urge students to use brains, use hands and speak and become the finder of knowledge so that they can actively construct mathematical concept , investigate and verify mathematical regulation, and then cultivate humanistic quality. More importantly, it can let most students really realize that mathematics is useful. It can cultivate their consciousness and ability of using mathematical tools to analyze and solve the actual problems of their majors in their future study and jobs.