The Investigation And Research Of The Learning Situation About Dihedral Angle And The Plane Angle Of Dihedral Angle

Mathematics concept is the basic component of Mathematics, The study of mathematics concept is also the basic link of mathematics learning. The study starts from the microscopic concept—Dihedral angle and its plane angle, through the interview with teachers and the questionnaire survey of students,in senior two,to analyze the present situation of students’ mastery of concepts,including the representation of concept,the construction of the connection among concepts, the application of concept,mathematics learning emotion and so on.The research shows:(1)There is no significant difference in representation patterns when first toward this two concept in students at different levels of Mathematics; It is difficult for students to represent the concept from one type to another; The content of the concept representation is almost from the teacher’s explanation and exercise; (2)Students don’t have a strong awareness to construct the relationship among concepts, and don’t deeply know where these concepts in the knowledge hierarchy is; (3) The better the students, the better and more stable the concept is. Contrary to the students in low and middle level, and the students in these level depend too much on the exercise; (4)Students don’t have positive emotion in the progress of the study of the two concepts.Then, by means of the study of related instruction of The dihedral angle and its plane angle, for example, its introduction, the exploration of its meaning, the application of its concept. etc, to discuss how to help students to building the link among knowledge,how to enrich students’ conceptual representation and how to use the concept, etc. Upon reflection, the teaching of the mathematics should: (1) Introduce the concept by the connection of concept; (2) Pay attention to enrich the students’ representation by variant dig the recognition of concept deeply; (3) By setting the value problem to make students experience the exploration process of mathematical methods;(4) Guide students to solve problems from concept; (5) Combine the training of active learning in various teaching links.