Junior High School Mathematics Teaching In The History Of Mathematics Application Development

With the research on the role of mathematical histories in mathematics education more and more deeply, it has been made a little more progresses in integrating the knowledge of mathematics histories into mathematics teaching activities. Now, most of researches focused on "what potential tools did the knowledge of mathematics histories provide for mathematics education" and "how to apply knowledge of mathematical histories in mathematics teaching activities. " The exploiture of reasonable instructional design concerning about integrating mathematics histories into mathematics teaching ,have some research potential capacity.The purpose of this article was to explore the relationship between the knowledge of mathematics histories and middle school mathematics teaching and learning. we looked for methods of integrating the knowledge of mathematics histories into senior school mathematics teaching and learning by the analyzing a questionnaire survey. By making researches on teaching content, analyzing teaching system, and making researches on math-related materials, we would find ways to integrating the knowledge of mathematics histories into secondary school mathematics teaching in classroom. By developing the design of the application on classroom teaching, we would explore general, feasible and operational ways to apply the knowledge of mathematics histories in secondary school mathematics teaching.From the teaching practice, we chose "irrational number", "Pythagorean Theorem", "similar triangles" and showed the ways of developing theses materials of mathematics histories by combining with some common problems which was found in the questionnaire survey. The article showed different ways of integrating materials of mathematics histories into teaching content. We developed three cases of teaching design which integrated mathematics histories into teaching content according to different teaching goals, difficulties of teaching and different teaching models. The research showed some methods of teaching design of mathematics ideas and methods which embodied the history of mathematics development and teaching idea of new curriculum standard, and achieved the goals of mathematics education in secondary schools.