An Action Research Of Integrating Mathematical History Into The Teaching Of Solid Geometry

Solid geometry has a long history,have an important role in mathematics,practical value in life and promote the logical thinking ability and spatial imagination ability.Solid geometry plays an important role in the teaching of high school.At the same time,solid geometry also occupy an important position in the current curriculum standards and high school textbooks,there are three parts:the geometrical body;the position relation between points,lines and plane and the space vector and the solid geometry,however,after investigation of curriculum standards and textbooks,it is can be found that the role of training of student’s logical thinking and spatial imagination is weakened in the solid geometry because of the dintriduction of vector.At the same time,there are few culture elements in the classroom,which leads to the lack of interesting of students and lack of fun in teaching,these problems mainly focus on the relationship between point,line and plane.Therefore,this study focuses on the teaching of this chapter.After continuous research found,the history of mathematics plays an important role in improving students’ cognition,deepening the understanding of mathematics,stimulating students’ interest and improving the quality of Humanities.Therefore,this study adopts the method of integrating the history of mathematics to study overall design and teaching of the chapter of the relationship between points,lines and plane,we study the influence of students and teachers after integrating the history of mathematics into the chapter of the relationship between the point,line and surface?What historical materials fit into the teaching materials?This research finally selected "plane concept"," the relationship of position of straight line in the space","Plane parallel judgment theorem" and "The vertical line judgment theorem" four class from the perspective of HPM to conduct action research,Through four stages of development plan,teaching practice,evaluation feedback and reflection and improvement,for the development of the four class and feedback to students and teachers.Based on the results of classroom video,questionnaire and interview,the main conclusions are as follows:(1)The impact on students are as follows:To explore the process of promoting knowledge;to inspire students to explore and improve the classroom atmosphere;training of logical thinking,mathematics thought;experience of mathematical abstraction,strengthen the spatial imagination;the taste of mathematics culture,cultivate positive emotions.(2)The influence on teachers are as follows:In the knowledge,the knowledge of the subject matter knowledge and the padegogical content knowledge have been increased.(3)For the historical materials fit into the teaching materials:the different definition of plane in the mathematicians history;the story of Euclid and element;Legendre and geometry teaching;Clairaut’s visual explanation of the vertical line judgment theorem;The proof of transitive theorem of parallel lines in space in the history;The proof of the theorem of equal angles in the history;The proof of Plane parallel judgment theorem in the history;The proof of the vertical line judgment theorem in the history.It can be seen that the integration of mathematical history into the teaching of solid geometry is of great value,worthy of further study.