Research On High School Mathematics Teaching Design Based On Logical Reasoning Literacy

As one of the six core qualities,logical reasoning has been proposed in the general high school mathematics curriculum standard(2017 edition).Logical reasoning plays an important role in people's learning and life.It is the cornerstone of people's development of thinking,the foundation of development of intelligence and the source of development of creativity.It is an indispensable ability for middle school students.This paper mainly adopts the methods of literature,questionnaire,interview and case study.Firstly,based on reading a large number of documents,the author explores the origin and development of logical reasoning literacy,demonstrates the necessity of studying the logical reasoning literacy of senior high school students,defines the relevant concepts of logical reasoning,and further discusses the teaching based on logical reasoning Secondly,through the questionnaire method,the development of 101 students' logical reasoning ability in algebra and geometry was investigated;the test paper topics were analyzed from four aspects:reliability,validity,difficulty and differentiation;through interview method,the learning situation of logical reasoning quality of high school mathematics teachers and the existing in teaching were mastered Finally,according to the questions presented in the survey and interview results,the strategies of cultivating logical reasoning literacy of senior high school students are put forward from the aspects of textbook compilation,teachers' teaching and students' learning respectively.Combined with the actual situation of teachers and students,the case study of applying logical reasoning literacy to practical teaching is carried out by taking two teaching designs of high school mathematics sequence and trigonometric function as examplesThis paper draws the following conclusions:(1)high school mathematics teachers do not pay enough attention to the cultivation of students' logical reasoning ability,and think that the logical reasoning ability is only limited to geometric aspects,and can not combine reasonable reasoning and deductive reasoning;(2)the overall level of high school students' logical reasoning literacy is low.76.23%of students have reached the requirement of logical reasoning literacy level I,that is to say,they have reached the requirement of academic examination 25.7%of the students have met the requirements of logical reasoning literacy level II,that is to say,they have met the requirements of college entrance examination,1%of the students have met the requirements of logical reasoning literacy level III,that is,they have met the requirements of independent enrollment;(3)there is no significant gender difference in the logical reasoning literacy of senior high school students;(4)to cultivate the logical reasoning literacy of senior high school students,pay attention to the situation in the compilation of teaching materials,so as to Diversified teaching activities are the carrier,close to the reality of life;in the process of teachers'teaching,thoughts are infiltrated,basic concepts,methods and experience are emphasized,and mathematical rational thinking is developed;in the process of students' learning,students'imagination is developed,and learning habits with evidence are cultivated.The research work of this paper promotes the effective cultivation of logical reasoning literacy in practical teaching,and can provide some reference for the teaching of front-line teachers.