A Study Of The Current Situation And Measurements Of Junior Middle School Students’ Reverse Thinking In Mathematics

Innovation is the lifeblood of the country’s progress and the driving force for growth.The National Medium-and Long-Term Education Reform and Development Plan(2010-2020)clearly proposes to cultivate first-class innovative talents.The school plays a guiding role in the growth of learners and assumes the obligation to provide innovative talents to the society.In order to cultivate innovative talents,we must first make their thinking innovative.The most difficult thing to grasp in innovative thinking is reverse thinking.Reverse thinking can promote the learning and development of learners,so we need to infiltrate the cultivation of reverse thinking in all aspects of mathematics teaching in middle school.The junior high school stage is the best stage for cultivating students’ mathematical thinking.If the teacher can grasp this key node,consciously cultivate the students’ reverse thinking in the usual math class,which can help the learners to form a good thinking quality and enhance the students’ innovative mind.There are seven chapters in this thesis.The first chapter mainly writes the background,purpose and significance of the research,as well as the research content and methods.The second chapter reviews the current mathematical reverse thinking and the research on the mathematics reverse thinking training strategy of junior high school students.The theoretical basis of the thesis research;the third chapter is the meaning and function of the reverse thinking of mathematics;the fourth chapter is the questionnaire survey and analysis;the fifth chapter is the qualitative analysis of the mathematics reverse thinking of junior high school students;the sixth chapter is the proposed training strategy;The seven chapters are the research summary and outlook.Through research,reverse thinking plays a major role in the whole innovative thinking,and is the core embodiment of dialectical and logical thinking.It has an important position in mathematics teaching.At present,the level of mathematics reversethinking of junior high school students is generally low;the overall level of reverse thinking in the three grades is upward,but there are also individual differences;when prompted by the reverse strategy,the level of reminders is higher than the level of no reminders;the entire junior high school students are mastered in the formula reversal The situation is relatively weak.At the same time,it is also found that junior high school students mainly have strategic and procedural errors when using reverse thinking strategies to deal with problems.In response to these problems,the author gives corresponding countermeasures:Strengthen the inverse of formulas,pay attention to the inferiority;infiltrate the reverse strategy in mathematics class,guide students to observe;analyze the characteristics of the topic,teach the problem solving method;analyze the characteristics of the formula,help students to remember the formula;formula and theorem that can be deduced,try to lead the students together Derivation,true understanding,digestion;pay attention to the deep understanding of knowledge;play the role of reminding,let students learn the reverse thinking method,set special exercises,strengthen the students’ reverse thinking of mathematics;cultivate students’ balanced thinking and pay attention to balanced development.