Applied Study Of Mathematics History In Mathematics Theorem Teaching

The New Mathematics Curriculum in High School (experimental) Which has been drafted by the Educational Department of China has adopted the cultural value of mathematics should be embodied in mathematics teaching in high school. During the course of teaching, the specific"mathematics culture"should be demanded in the proper contents at proper time. And"mathematics history"has been set out in part three. So cultural value should be penetrated in every part of teaching in various forms."Process teaching"has been advocated in new teaching reform, which means the formation of new knowledge has undergone a particular process: from rudimentary to high stage, from simplicity to complication, from specificity to generalization and via verse. That is to say,"process teaching"is that teachers instruct students in knowing the origin and development of the new knowledge in order to reveal the nature, order and relation between theory into mathematics theorem teaching can better perform"process teaching"according to students'learning laws than other ways.Mathematics theorem teaching refers to such contents as: axiom, theorem, laws and regulations, and formula. Of course, it belongs to the range of rudimentary knowledge, which is the expressing form of various mathematical problem and even the foundation of logical deduction. Therefore, merging mathematics history into mathematics theorem can make students come to realize history and understand the teaching contents. At the same time, this way can improve teaching and learning efficiency.In order to investigate in the high school mathematics theorem teaching and discusses the student and mathematics teacher using the history of mathematics present situation to the history of mathematics promotion mathematics theorem teaching understanding, the present paper first has carried on the questionnaire survey to the partial high school students and the high school mathematics teacher.Through these investigations may explain the history of mathematics education had not achieved causes situation which the general mathematics teacher enough takes, even if has takes, but the education value understanding is insufficient to the history of mathematics, in particular reveals the insufficiency from the history of mathematics promotion mathematics theorem teaching aspect. Another side also reflected the student to the history of mathematics knowledge understanding specially few, the current our mathematics theorem teaching very little seeps the history of mathematics education. The current history of mathematics education condition and teacher's and student's history of mathematics accomplishment can not but cause we deep reconsidering, we have the necessity to study the history of mathematics very much in mathematics curriculum value, in particular to history of mathematics promotion mathematics theorem teaching research.Therefore, this thesis began to study from the theory of mathematics theorem. According to the psychological characteristics and cognitive structure of high school students, choosing proper ways and contents are very important. The author lead knowledge of mathematics history into the teaching design beforehand, and perform the teaching experiment in order to get the comparison of the two different teaching method under the same theorem teaching.From the result of the experiment, we can infer that the teaching program which merge mathematics history into mathematics theorem teaching can be applied widely in mathematics teaching in high school. This method is superior to others, because it can develop the educational resources of mathematics history for further and educational resources of mathematics history theorem.Is one item has the significance work extremely to the history of mathematics in mathematics theorem teaching applied study: Through to its research, we may stand in a higher angle of view looked mathematics theorem teaching, makes us even more to understand the history of mathematics education the importance, even more understood the history of mathematics and mathematics culture are an inalienable whole, even through the history may understand the student studies mathematics the difficulty and the cognition process, for the teaching material compilation provides model and so on. Designing and implementing the specific case is aimed at putting the theory into practice. The author links to own teaching reality, through the concrete case design and the implementation, has made in some theories and the practice discussion to the history of mathematics in mathematics theorem teaching application, can reform a meager strength by the time to our country's mathematics curriculum.