Investigation Of Mathematical Analogy Thinking Application Ability Of Junior High School Students And Research On Teaching Strategies

"Analogical thought" is a mathematical thought method that is easily accepted and effective by teachers and students,which is worthy of attention.At present,most of the research on analogy thought is the extraction and classification of the relevant content of junior high school mathematics textbooks,which cannot have a deeper understanding of teachers and students' mastery of analogy thought.Therefore,the purpose of this paper is to understand the teachers' cognition and application of analogy ideas,and to find out the difficulties of students in using analogy ideas to solve problems,so as to give the corresponding teaching strategies.Based on the purpose of this research,this paper divides the analogy idea into the analogy of four kinds: concept analogy,method analogy,knowledge structure analogy and thinking mode analogy.Through the investigation and analysis of a junior middle school mathematics teachers: most teachers have a good analogy thought cognition,the textbook about the content of the analogy thought is familiar,also think analogy thought widely used in practical teaching,operability and most teachers think using analogy thought teaching can help students to learn.Through the investigation and analysis of the ability of mathematical analogy,five conclusions are drawn:(1)the application level of the middle grade students is not too high and in the middle level;and(3)in the "source problem",and the problem of the "source problem",most students agree Reading analogy and thinking mode analogy,as long as the "source problem" solution,"target problem" can be answered accordingly;(5)there are significant differences in the concept analogy,method analogy and thinking mode analogy,but there is no significant difference in the knowledge structure analogy.Finally,according to the conclusion of this paper,the four specific teaching strategies are proposed,and the own teaching implementation process is given under the guidance of teaching strategies,hoping to help the teaching of first-line junior middle school mathematics teachers and students' ability to use analogy.