Research On The Application Of Analogy In Mathematics Teaching In Senior Middle School

"General High School Mathematics Curriculum Standards(2017 Edition)" puts forward logical reasoning literacy as one of the core literacy of mathematics,and logical reasoning includes inductive reasoning,analogical reasoning and deductive reasoning.Analogical reasoning is an important form of logical reasoning.It is not only reflected in the discovery process of many theorems and formulas,but also in the teacher's mathematics teaching process;It is a kind of mathematical thinking and a mathematical method.Therefore,it is very necessary to study the application of analogy in mathematics teaching in high school.This article uses a series of research methods such as literature analysis,content analysis,and comparative analysis to systematically study the content that can be used in high school textbooks for learning by analogy.Based on the analysis of references,this article explains the research background and current research status of analogy in mathematics teaching in high school.Analyzed the application of analogy in the major themes in the compulsory and optional compulsory mathematics textbooks of high school.Under each topic,the research is mainly based on the mathematical content that can be analogized in the textbook.Through analysis and summarizing the general idea of applying analogy in mathematics teaching in high school,taking hyperbola and its standard equations as examples to carry out the teaching design of analogy thinking,and carry out teaching reflection on teaching design.The study found that teachers create analog situations in teaching,so that every student actively participates in the analogy classroom teaching.Teachers focus on teaching goals,so that students can feel the joy of learning mathematics in a positive and pleasant teaching atmosphere.For teachers,it is not only conducive to the improvement of their own literacy,but also has certain help in enhancing the effectiveness of classroom teaching.For students,not only can they have an in-depth understanding of knowledge,but also promote their mastery of knowledge,which is conducive to improving their creative thinking.I hope this article can provide some help for teachers to use analogy ideas to guide students' learning in high school math classroom teaching.