Practical Research On Analogical Thinking In High School Mathematics Teaching

Mathematical thinking is involved in a wide range of aspects in middle school mathematics.Mathematical thinking is the core of mathematical knowledge content.For a long time,high school mathematics teachers in our country have been paying attention to the cultivation of logical thinking,neglecting the cultivation of logic thinking.In mathematics teaching,analogical thinking is a part of mathematical thinking.It has great significance to improve teachers' teaching ability,students'mathematical literacy and enhance students' creative consciousness.Therefore,it is of great significance to study the application of analogical thinking in high school mathematics teaching.In this paper,when studying the application of analogical thinking in high school mathematics teaching,through literature,questionnaire and interviews,we understand the current situation of analogical thinking in high school mathematics teaching,and investigate the students and teachers of Yan Ji No.1 High School.Through the investigation and the result analysis of the interview,we find out the existing problems and give some suggestions.By sorting out the test papers and questionnaires and analyzing the results of interviews,we can see that:firstly,the teaching research of analogical thinking in concept class is not deep enough,the infiltration of analogical thinking in mathematics class is not deep enough,and the ability of analogical thinking needs to be improved;secondly,teachers blindly irrigate knowledge,catch up with the teaching progress,neglect the training of students' analogical thinking in mathematics;thirdly,the overall situation of students' application of analogical thinking in solving problems is not optimistic.They can solve simple problems with analogical thinking,but the result of solving complex mathematical problems is almost zero;fourthly,students of different genders have great differences in their understanding and application of analogical thinking.Girls are slightly poorer in the application of analogical thinking in solving problems;fifthly,analogical thinking can improve students' understanding and application of analogical thinking.The cognitive level of new knowledge,the enhancement of students' understanding and mastery of new knowledge are helpful to some extent,and can inspire students' thinking on solving real math problems in college entrance examination.Finally aiming at the problems existing in the survey results,some suggestions on the teaching of using analogical thinking are given.As a teacher,wo need to have perfect knowledge reserve,to better organize analogy teaching,strengthen their knowledge structure,in analogy to the situation creation,should be constantly show participation experience analogy teaching links and teaching process,arouse the enthusiasm of students,class design,around the targets,to achieve the teaching effect,make the students master method,stimulate students' interest in learning,cultivate the students' exploring consciousness,forming mathematical logic thinking.Hope to improve the teaching of high school mathematics teachers and students'learning using analogy thinking.In view of the above several suggestions,this paper also gives two teaching design and teaching reflection analysis,hoping that teachers can permeate mathematical analogy thinking in mathematics teaching,improve students' cognition and problem solving ability,and then enhance students' creative thinking.