Track Problems In High School Mathematics Inquiry Based On The Geometric Sketchpad

Trajectory problem in high school math has always been a problem in the general teachers and students, whether teachers’ teaching or the students’ learning there are difficulties, especially relates to questions about the dynamics and abstractness is more difficult to conquer. Geometric sketchpad to use "geometry elements in dynamic state keep geometric relationships between the invariance of" the principle, the abstract, dynamic mathematical model of intuitive appear in front of students, to students of visual impact, the abstract problem problem visualizations, help students to deeply explore the problems.Based on the constructivism theory, information processing and learning theory, geometry, memory image and several form combining ideas as the theoretical basis, through literature synthesis, comparison and questionnaire survey to study how to solve the problem of trajectory of conic application of geometric sketchpad. Students by observing the geometry sketchpad in motion mathematical laws remain unchanged, the construction of dynamic path generation in your mind. Based on the new curriculum taught A version take 2-1 as A reference, made the ellipse, hyperbola, parabola related courseware, the article introduces the geometric sketchpad how design in teaching, the key is to make students hands-on operation in geometry sketchpad to draw the trajectory generation, which in the minds of the students construct the dynamic process of thought.By combining city high school second grade students and teachers to the geometric sketchpad application situation of the survey results, show that the majority of students to teachers apply geometric sketchpad teaching attitude positive, stimulated the students’ main body consciousness in the process of operation, improve the ability to solve problems; In view of the high school mathematics analytic geometry of trajectory problem has made the detailed elaboration, students can according to the specific operation to make courseware, to observe the dynamic trajectory generation. Research also found some deficiencies in the process, for the initial contact through geometry sketchpad to observe the path generation, to cultivate the students’ dynamic thinking has certain restrictions; For initial contacts by geometric sketchpad to observe path generation, to cultivate the students’ dynamic? thinking has a certain limitation...