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Investigation of Students Learning Trigonometric Functions

Author: LiangZhiFang
Tutor: ChenXueMei
School: Hebei Normal
Course: Subject Teaching
Keywords: Trigonometric functions Level of understanding Concept Formula Image
CLC: G633.6
Type: Master's thesis
Year: 2011
Downloads: 189
Quote: 1
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Abstract


Curriculum reform has been in full swing across the country, Hebei Province, also in September 2009, the implementation of the high school curriculum reform. Shijiazhuang City High School math textbook PEP A version of the order of use of the new textbooks for the compulsory 14523, the original outline textbook trigonometric the contents of the arrangements for the high semester, now this part of the arrangement in a high one and learn the second half of the semester (mid-term exam). trigonometric traditional high school mathematics textbooks in this curriculum reform, new curriculum standards emphasize the generation of knowledge and the development of new textbooks about the content and method of trigonometric functions, the occurrence of great changes, new textbooks deletion of part of the original outline of textbooks, de-emphasizing the tedious formula identical transformation induced formula and the same angle relationship reduces the requirements, but to strengthen the image and nature of the requirements of the trigonometric functions, greater emphasis on trigonometric function model role and Shuxingjiege of mathematical thinking. Based on the author a lot of experience in teaching and experience, combined with interviews with high school teachers and students, found that students in learning the contents of the trigonometric functions, the main issues are not very deep understanding of the concept of trigonometric functions, trigonometric functions this chapter formula. students' mastery of formula is not flexible, students Shuxingjiege capacity needs to be improved according to the requirements of the new curriculum standards, as well as the performance of the students in the learning process, research tools test volumes and interviews, etc., from the following four aspects : the concept of trigonometric functions, formulas, image and nature of the trigonometric function of the application of the triangle, the four schools at different levels of Shijiazhuang City SOLO theory to divide the students' level of understanding of the trigonometric functions, and then through a student (a total of 400) of the respondents to the quantitative analysis and qualitative analysis of the important concepts, the author found that: (1) student understanding of the trigonometric functions \the value of the function and the argument a mistake. (2) students can easily confuse the trigonometric functions sine and cosine. (3) can not distinguish between an acute angle trigonometric functions and trigonometric functions of any angle, some students because of the acute angle trigonometric functions defined negative migration often the obtuse function value as an acute angle to requirements. (4) The student can not be used to segment an accurate representation of the function, such as the right to make a directed line segment or the correct symbols expressed function value. (5) students lack of utilization of the unit circle and function image can not be fully utilized these geometric intuitive to analyze and solve problems. (6) the students can not be the right choice formula deformation in the problem solving process should choose what kind of formula deformation unclear what circumstances according to the results of the research, in order to improve the level of understanding of the effectiveness of teaching and students, the trigonometric functions of any angle, the application of the unit circle formula teaching made a number of teaching suggestions.

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CLC: > Culture, science,education, sports > Education > Secondary education > Subjects teaching methods, teaching aids > Mathematics
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