Research On The Application Of Analogical Reasoning In High School Mathematics Curriculum

Analogical reasoning is always in the daily life,learning,or in scientific discovery,it has been through them;analogy reasoning is not only an important form of human thinking,but also an important part of high school mathematics.Therefore,it is an important subject to cultivate students' analogical reasoning ability.This study first explores the five types of mathematical analogical reasoning in high school(conceptual analogy,analogy of analogy,analogy of analogy,analogy of analogy,homology analogy).Secondly,the existing research of analogical reasoning is summarized and reviewed.This paper studies the design and implementation of analogical reasoning in high school mathematics curriculum through three aspects: the research of analogical reasoning in teaching materials,the questionnaire analysis of teachers 'understanding of analogical reasoning and the statistical analysis of students' analogical reasoning level.The concrete conclusions are as follows:1.The content of analogical reasoning in the math textbooks of high school education is still to be improved.In this paper,the content and presentation of high school mathematics textbooks in analogical reasoning are analyzed statistically.The introduction and conjecture of the large number of definitions,theorem and the specs in the teaching materials are applied with analogical reasoning.However,,The number of questions about analogical reasoning is rare,only a few problems appear in the part of the inequality.2.The knowledge of analogical reasoning in high school mathematics teachers needs to be improved.High school mathematics teachers understand the connotation of analogical reasoning and is very clear that even in the teaching even if the use of analogical reasoning is not aware of;teachers for analogical reasoning attention only on the surface,not put into practical action.3.High school students' mathematical analogy reasoning needs to be exercised and strengthened.Most students have good analogy reasoning ability,but there is a serious lack of ability to apply analogical reasoning to solve mathematical problems.The survey data show that students in addition to the concept of analogy in terms of performance,analogy,Analogy analogy,homogeneous analogy and other aspects of performance are unsatisfactory.Finally,combining with the conclusion of the study,two typical teaching cases are designed to apply the analogical reasoning in high school,and how to improve the mathematical analogy ability of senior high school students from three aspects: teachers and students.