A Study On The Characteristics Of HPM Teaching Cases In Middle Schools

Advocated in the new mathematics curriculum standard of mathematics culture infiltrated in mathematics classroom teaching of knowledge, and the best carrier is the history of mathematics, mathematical culture and education value of the history of mathematics has been education universal recognition and affirmation, corresponding to the history of mathematics into mathematics classroom teaching practice is in constant unfolding. A glimmer of teachers of mathematics and mathematics education research experts on history of mathematics and mathematics teaching in after another case of integration of research and development, such as east China normal university professor Wang Xiaoqin team and Taiwan normal university professor wann-sheng horng team has published a series of HPM teaching case, various journals now also has a lot of different types of the history of mathematics and mathematics teaching integration of teaching cases. So what these various teaching case? What are the differences and similarities? This paper aims to starting from the existing middle school HPM teaching case, summarizes the history of mathematics and mathematics teaching integration of general characteristics of teaching cases.This paper through the introduction of the background of topic selection, analysis of the literature related to the research question, given the research question of the novel, methods and ideas; Second, starting from the actual situation of mathematics teaching, through the mathematics teaching, teachers of mathematics, three dimensions are analyzed in the high school students use HPM teaching cases for various meaning of mathematics classroom teaching; Again, with the aid of some selected HPM teaching of middle school, the typical case, from each aspect compared to traditional teaching case analysis, to find the case teaching of high school history of mathematics and mathematics teaching integration compared with the traditional mathematics teaching the superiority of the case, to sum up the middle school teaching case of HPM five basic characteristics:(1) the truth of history of mathematics content, (2) the moderation of the teaching material, (3) the teaching content of interest, (4) seepage mathematics thinking method, (5) the history of mathematics and mathematical knowledge total integration, and through the corresponding teaching case demonstration analysis; Finally, with practice the history of mathematics in middle school mathematics education is given and some Suggestions on mathematics teaching integration. At the end of the article, summarizes the deficiency of the present study and research prospect of the problem.Research results of this paper can not only for the future a lot of research and development history of middle school mathematics and mathematics teaching case foreshadowing, integration of teaching and to further study the HPM teaching case can provide train of thought and theoretical basis.