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A Research of Senior One Student’s Trigonometric Functions Study

Author: HuHuiMin
Tutor: LiShiZuo
School: East China Normal University
Course: Subject Teaching
Keywords: Curriculum reform Concept Learning Trigonometric functions Definition and Idea
CLC: G633.6
Type: Master's thesis
Year: 2009
Downloads: 517
Quote: 5
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Abstract


Caused by underlying mathematics education reform mathematics curriculum content and requirements change and textbooks choreography . The mathematical qualities inevitably change . This paper aims to investigate the implementation of the curriculum reform , high school students in the learning of basic mathematical concepts , results suggestions , as the medium of instruction and the follow-up study of reference . Trigonometric functions , high school access to a many-to-one correspondence between functions , is one of the important elements of the high school mathematics , but also one of the larger changes in recent years teaching content . In this study, the concept of trigonometric functions learning as a starting point , select a school 2011 high school students , and classroom teachers as an object of study , information collected through the questionnaire and interviews . Define the appearance and the mathematical concept of duality theory under the guidance of the focus of student learning conditions . In order to study ( 1 ) after the implementation of the new curriculum standards , high school students to understand the concept of trigonometric functions of any angle performance . ( Including the views of teachers on student learning ) ② affect high school students understand any angle trigonometric concept prior knowledge ? Findings : students are the main means of representation to understand and characterize the concept ; function , the angle of the promotion as well as cognitive arbitrary angle trigonometric concepts from the requirements of the teachers also there is a gap , in particular, to understand the essentially arbitrary angle trigonometric function ; promotion and function of the angle concept is a necessary condition for learning the sine function ; new curriculum reform students to master certain trigonometric concept . Student learning conditions , this study also discussed that : ① the concept is the formation of the appropriate representation of the concept ② function knowledge and the concept of an arbitrary angle trigonometric concept should be left to the students enough time to master the the greater impact ③ teaching in reflection abstract to strengthen self-examination .

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