Research On Logic Reasoning And Teaching Strategy Of Solid Geometry In Senior High School

In the new round of curriculum reform,we focus on the development of students’ core literacy.Mathematics discipline develops and condenses the core literacy based on the essence of mathematics discipline.Logical reasoning literacy plays an irreplaceable role in cultivating students’ thinking ability,creativity and intelligence.The high school solid geometry needs to study the three-dimensional solid figure in the two-dimensional plane,with the help of "concept drawing" to start thinking,resulting in its abstraction degree,the requirements and difficulties of logical reasoning for students are greatly increased.Therefore,it is very important to study logical reasoning and teaching strategy in high school solid geometry course.In this study,the students’ logical reasoning literacy level was investigated by using test papers,and the teaching situation of solid geometry was understood by questionnaire and interview outline.Secondly,the presentation of logical reasoning in solid geometry content is sorted out（2019 Mathematics teaching textbook A is selected for sorting）.Finally,based on the analysis results,the cultivation strategy of logical reasoning literacy in high school solid geometry content is proposed.The specific research conclusions are as follows:The results of the survey showed that:The level of logical reasoning literacy of high school students is not ideal as a whole,nearly four-fifths of students can meet the requirements of logical reasoning literacy level 1,nearly half of students can meet the requirements of logical reasoning literacy level 2,but only nearly one-third of students can meet the requirements of level 3.Teachers in the three-dimensional geometry teaching problems: do not pay attention to the basic knowledge of the teaching;The penetration of mathematical thought method is insufficient;Lack of overall design teaching consciousness.Through the presentation of logical reasoning in solid geometry carding found:The three forms of logical reasoning run through all the learning content and teaching activities.The primary teaching focus of solid geometry is not to establish a well-structured and logically rigorous solid geometry knowledge system.The teaching of space geometry emphasizes the principle from the whole to the part,from the concrete to the abstract,and gradually forms the concept of space.For the teaching of the position relation of space point,line and plane,the organic integration of the three forms of logical reasoning is emphasized.Realize the leap from "knowing what it is" to "knowing why it is" and then to "knowing why it is".Based on the analysis of the above results,six teaching strategies are proposed:designing the teaching content as a whole,building a bridge between solid geometry knowledge and core literacy;Pay attention to the teaching of basic knowledge,feel the basic thought method of solid geometry;To create appropriate situations to promote the generation of logical reasoning literacy;Guide students to discover mathematical rules and form thinking habits of solid geometry;Using different forms of reasoning,feeling the thinking process of logical reasoning;Strengthen the definition and proposition carding,improve students’ logical thinking ability.