Priority Components Of Factors Affecting Gifted Students’ Solution Of Dynamic Geometry Problems In Grade9

Dynamic geometry problem is geometry, algebra knowledge both rolled intoone, as well as a combination of number with shape. Strong comprehensiveness,flexible and changeable subjects, motion in the static and dynamic binding make itfeasible for students to develop their ability of space imagination in motion andchange. It offers a thorough test on students comprehensive ability to analyze andsolve problems.Gifted students usually have better knowledge structure, strong problem-solvingskills and operation ability. When meeting a problem, they usually make manyattempts, not giving up easily, with persistent beliefs of solving the questionstemporarily unable to be answered. However, because of problem solvingexperiences sake, they usually get negative effects of metal set.This study is a combination of dynamic geometry problems and students. Havingselected representative examples, on the basis of general theory of problem solving,starting from the analysis of the problem, the study digs out the obstacles studentsmay be encountered in the course of solving the dynamic geometric problems as faras possible. Taking characteristics of mathematics gifted students into consideration,through the questionnaires, interviews conclude the below10items as factorsaffecting students’ solution about this kind of problems:(1) The understanding degree of subject(2) Point and the judgment of the relationship(3) The range of motion of the moving point and its mode of motion(4) Change-patterns of the related graphics (changeable or fixed) in the processof movement(5) Classification according to the change-patterns(6) The corresponding relationship between form and number.(7) Understand the necessity of demonstration(8) Complete the proof according to the request(9) Accomplish calculation combined with the proven process (10) Monitor the whole solving process and evaluate the quality of resultsThen make principal component analysis of the sample data, and three principalcomponents are obtained. The factors are interpreted as: a. mathematics reading; B.the comprehensively application of knowledge; c. the features of mathematicsthinking. Among those, mathematical reading has the greatest effect on giftedstudents’ answering. Finally the author puts forward some suggestions to help giftedstudents solve dynamic geometry problems.