A Probe Into The Teaching Design Of Solid Geometry Concepts Under The Guidance Of Logical Thinking

Logical thinking,the first reaction of many people will be associated with mathematics when mentioned this term.At the beginning,logic belongs to philosophy and it' s applied to mathematics,computer science,psychology and so on because of its reasoning thought later;Mathematics is a subject that studies the quantitative relation and spatial form in the real world,both of logic and mathematics are concrete abstract things to solve the problem.As we all know that geometry has become a branch of mathematics that can best reflect mathematical logic because of its vivid intuitive and strict logical characteristics,with the reform of the new curriculum,the ratio of solid geometry in high school textbooks is stable and unabated.At the same time,the understanding and mastering of mathematics concept is the foundation of mathematics pyramid of students' architecture,and is also the key and the difficult point.There are many concepts of high school solid geometry and a strong logic between them as well.Therefore,in order to cultivate students' logic thinking ability through the teaching of the concept of solid geometry,it is very necessary to seek a teaching method which can suitable for the teaching of the concept of solid geometry.In this paper,through literature research,questionnaire survey,special interview and experimental inquiry,we choose the second and third graders in the middle school as research subjects.In the form of questionnaire,this paper makes a survey and research on “the study of the concept based on logical thinking in Senior Middle School”,among which the main contents of the investigation and research are as the followings: the students' mastery of the basic concepts of soiled geometry;the obstacles for students to learn solid geometry;the students' views on the teaching methods of solid geometry;there is a small test for the students' ability to logical thinking,space imagination,and the mastery of concepts.Subsequently,some teachers and students were interviewed and the results showed that everyone was familiar with logical thinking,but the specific application was not too much.In the case of more students in the class,heavy teaching tasks and great pressure to advance to school,the teachers are easily to ignore the basic concepts of solid geometry,let alone develop students logical thinking ability.This paper demonstrates the application of logic thinking in mathematics teaching through the design of dihedral teaching case,and carries out a comparative experiment after the implementation of the case.The feedback results show that the concept teaching guiled by logical thinking has obvious benefits to the combing of the complicated concepts of solid geometry,it also provides a basic guarantee for the realization of emotional attitude and values in the new curriculum.