Instruction Design Studies Of "Euler's Formula And The Classification Of Closed Surfaces" For High School Mathematics

"Euler's formula and the classification of closed surfaces" is one of the selected topics of "the general high school mathematics curriculum standards(Experimental)" which issued by the Ministry of Education in 2003.As a response for the reform of high school mathematics curriculum, it is necessary to train some competent mathematics teachers in high school.This paper is targeted at normal university students, teachers of high school-based curriculum,elective courses in high school mathematics study" of "Euler's formula and the classification of closed surfaces," to carry out detailed experimental study of instructional design.Research methods used were:questionnaire investigation,literature analysis, case analysis and interview.The main research work are as follows:(1) Part of Guizhou province and high school mathematics teachers and normal university students to carry out investigation and analysis,to understand their "Euler's formula and the classification of closed surfaces" instructional objectives and content of teaching to understand the situation,as well as the topic of education requirements, It sures the necessity of instructional design and Research question.(2) Study and analysis the content of the topic "Euler's formula and the classification of closed surfaces" objectives.(3) According to the high teacher-student feedback surveys and the characteristics of the content of the topic, the use of modern instructional design of "systems design", the preparation of the topic of teaching design.(4) The "Euler formula and the classification of closed surfaces," Experimental study on the topic of teaching.The scientific instruction design and the effectiveness of practice.(5) Experimental study of teaching to achieve the desired effect:to verify the "closed surface with Euler's formula for classification of" the feasibility of teaching design;experiments using flexible teaching methods, appropriate to the actual needs of the high teacher-student; teaching produced Multimedia Courseware,has played a function of modern educational technology;the use of a variety of evaluation methods,attempt to create a pluralistic evaluation of the content and objectives, achieve tangible results,in order to pre-service teacher training and accumulated experience.(6) To be the problem:In this study,further enrich the theoretical basis for experimental research,and expand the scale of experimental studies.In the "classification of closed surfaces," whether or not to enter high school teaching on this issue that there are still many experimental difficulties to further study.