The Function Analysis And The Teaching Design Of "Selected Lecture To The History Of Mathematics" In Senior High School

From The Standard of Mathematics Curriculum of Senior High School(Test), published by the Ministry of Education in April 2003,the new curriculum began to be implemented, then implemented the full implementation of the second half of 2010.As the new course first appeared elective courses in mathematics education,also gradually entered the field of vision."Selected lecture to the history of mathematics"special topic is one of them,in order to better implement the new curriculum,it is necessary to further clarifying the course of education value, explore the history of mathematics teaching design.Since the 19th century, the research about the history of mathematics education value for mathematics entered into mathematics educator and mathematics history expert's field of vision. The history of mathematics has become an important field of study in mathematics education. Internationally, the history of mathematics and mathematics teaching research has become an important field HPM research, countries in middle and primary school mathematics course also blended in many of the history of mathematics knowledge. Mathematics curriculum will"reflect the cultural value"as a basic idea, and set up"Selected lecture to the history of mathematics"special topic of curriculum reform of the history of mathematics in advance, the value of education for mathematics education research in mathematics became a hot topic, more and more deals with the history of mathematics education significance of papers published in related mathematical magazine. This paper attempts to course target, teaching content and other new curriculum view of the"Selected lecture to the history of mathematics"special topic,comprehensive choose to explore this course of education function to open. The creation of"Selected lecture to the history of mathematics"is necessary, and draw the have the following functions: to help students form the correct mathematics view, train students' correct thinking habits, enhance students' interest of study, education provides an important platform for moral education.To explore the problem how to open"Selected lecture to the history of mathematics", study the theoretical basis of mathematical teaching design and the teaching design principle of mathematics, and derived the following general education in addition to design teaching principle outside, still should have its own unique fundamental principles: scientificity, interesting, practical applicability, extensiveness. According to the research results of the above, select three mathematics history content as a case study, they include : ancient Greek mathematics-Incommensurability,Chinese ancient mathematical gem-Liu Hui and cyclotomic method , Calculus birth-historical background of the emergence of calculus.Finally, by reconsidering the teaching design problems encountered in the process of, for further improved and perfected"Selected lecture to the history of mathematics"to provide feasible Suggestions.