The Design And Research Of Junior High School Mathematics Problem Chain Pointing To The Cultivation Of Students' Growth Thinking

The implementation of mathematics teaching objectives and the improvement of classroom efficiency are greatly influenced by problem design.Therefore,in recent years,the method of problem chain to design problems has been gradually popularized and applied in the field of mathematics.Problem chain teaching can not only inspire students to think,promote knowledge and mathematical thinking methods,Improve classroom learning efficiency,but also is an important factor in cultivating students' growth thinking.Therefore,the problem chain design will directly affect whether the problem chain teaching can play its due role.The period of junior high school is the critical period for students' growth thinking development,growth thinking was proposed in 2006 by Stanford University psychology professor Dweck et al.,students with a growth mindset view wisdom and ability as something that can be changed through their own efforts and have intrinsic motivation to learn knowledge and enhance their abilities.Therefore,they have a clear learning goal,are good at self-management,have the courage to face challenges and setbacks,can actively seek help from others and are willing to accept others' criticism and Suggestions.This study adopts the research methods of interview,observation and physical analysis,taking the second grade mathematics teacher Q teacher of H city G junior high school as the research object,deeply observe Q teacher's daily problem chain design,combining with Q teacher and L teacher interviews and teaching design inphysical analysis,presents the problems existing in the current junior middle school mathematics problem chain design and analyzes the causes of the existing problems.Furthermore,it is a necessary task of mathematics problem chain in junior middle school to explore the cultivation of students' growth thinking theoretically.On the basis of consulting,collecting and combing relevant literature,books and policies,we have an overall grasp of the existing research on growth thinking and problem chain,and tries to put forward the elements and basic forms of the design of junior middle school mathematics problem chain,which is aimed at cultivating students' growth thinking,and then expounds the design principles and design schemes.In view of the problems existing in the current problem chain teaching,this study tries to use the proposed design principles and schemes to explore the promotion strategies,and finally provide suggestions for educational practitioners and researchers.Through interviews,classroom observation under the natural situation and physical analysis of teaching design,the study presents the problems existing in the design of the current junior middle school mathematics problem chain and analyzes the causes.The main aspects in the early analysis are: teaching materials = textbooks:narrow the boundaries of textbooks;Student = experience: student research randomization;Target = decoration: the target appears to wander.The main problems in the design aspects are: design is like "skeleton " : straight-line presentation of book problems;the main problem is mere formality: mistaking the problem as a problem;the center of gravity off the " track " : disguised "indoctrination" knowledge.In the generation of sub-questions mainly: sub-questions flow on the surface: ask because of the question;generation encounter barrier: heavy results light process;shape and deterioration unchanged: lack of students' consciousness.In the optimization of the problem chain,there are mainly: use for use: use of resources out of demand;follow the rules: strategy development lack of thinking;unable to do: growth thinking training is difficult to implement.Based on the analysis of the existing problems and their causes in the design of junior middle school mathematics problem chain,it is pointed out that the cultivation of students' growth thinking is a necessary task in the design of junior middle schoolmathematics problem chain.The main reasons include the lack of students' growth thinking cultivation revealed by the current situation of junior middle school mathematics problem chain design,the purpose of cultivating students' growth thinking determined by the original intention of junior middle school mathematics problem chain,and the requirement of students' growth thinking for learning the contents and methods of junior middle school mathematics problem chain.On the basis of literature research,the study points out that the elements of the design of the chain of junior middle school mathematics problems which are aimed at the cultivation of students' growth thinking mainly include four aspects: target,main problem,sub-problem and optimization.According to the general links of problem chain teaching,the basic forms of problem chain design are divided into five categories: introduction chain,inquiry chain,extension chain,summary chain and progressive chain.Then,the paper points out that the design of the chain of mathematical problems in junior high school should follow four principles: unity of cognition and action,correspondence of method and thinking,promotion of knowledge and ability,and combination of problem and emotion.Furthermore,it proposes a design scheme for the chain of mathematical problems in junior middle school that aims at cultivating students' growth-oriented thinking,that is,studying textbooks and students,clarifying various objectives,selecting main design problems,grasping the key of thinking,generating sub-problem chains,paying attention to the improvement of ability,instructional design,and optimizing problem chains.Finally,with reference to the design principles and schemes,the reasons for the above problems are analyzed and the strategies for upgrading the mathematics problem chain design in junior middle school are put forward: The early stage analysis goal is clear,to prepare for the foundation of growth thinking,first macro and micro combination,deep dig teaching materials,then in-depth understanding,grasp the students,and finally to have the overall consciousness,to implement the goal.The main problem design pays attention to the thinking method,must infiltrate the growth type thinking method,first because of the need to establish,to the teaching material question creation,then the depth processing,the reasonable screening designexercises,then the refinement question,raises the initiative construction knowledge.The generation of sub-problems focuses on the needs of junior high school students.To achieve the ability of long-term thinking,we should first delve into the problem,make clear the intention,then ask questions in time,pay equal attention to the process results,and then skillfully use "white space" to reflect the main body of students.Problem chain optimization and comprehensive grasp of teaching,to highlight the growth of thinking,that is,to be comprehensive,to achieve the integration of teaching technology,but also to be flexible,theory and practice,but also to improve the ability to internalize growth thinking.