Research On High School Mathematics Problem Design Based On Higher Order Thinking

Learning begins with thinking,and thinking,especially high-level thinking,is the driving force of innovation.With the progress and development of the social era,the requirements for talents are gradually increasing.Only "knowledge talents" who master theoretical knowledge can no longer meet the needs of social development.The society is in urgent need of talents with innovative spirit,problem analysis,criticism and creative problem solving qualities.Based on this,the higher-order thinking with "analysis,evaluation,creation and criticism" as the core has increasingly become the core of contemporary curriculum design and teaching implementation.This paper studies the design of high school math problems based on higher-order thinking,aiming to combine the development of higher-order thinking with the design of math problems organically,"turn abstract into concrete",and truly achieve the cultivation of higher-order thinking talents in the preset and generation of classroom.The first part of the paper analyzes the research background of the problem from the perspectives of social development,the requirements of the new curriculum reform and the core literacy,summarizes the current situation of the problem design research based on higher-order thinking at home and abroad,and summarizes the research objectives,content,methods and significance.The second part analyzes the theory of problem design based on higher order thinking involved in the research.In terms of the core concept,it defines the concepts of higher-order thinking,problem design,problem design based on higher-order thinking,and analyzes the principles and types of problem design based on higher-order thinking.In addition,the theoretical basis of high school math problem design research based on higher order thinking is expounded from the theoretical aspects of constructivism learning theory,higher order learning theory and zone of proximal development.It should be noted that this paper synthesizes the conceptual research of domestic and foreign scholars on higher-order thinking,and defines the concept of higher-order thinking as: analysis,evaluation,creation and critical thinking.The third part investigates the current situation of the design of mathematical problems based on higher order thinking by means of questionnaire and interview.Using SPSS and Excel to analyze the students' data,it is found that the development of high school students' higher-order thinking is unbalanced,the individual difference is big,and some students' higher-order thinking needs to be improved.The interview method is used to find problems such as insufficient core degree,imbalance of gradient,mechanization,and failure to initiate in the design of teachers' classroom problems,and comprehensively analyze the causes of these problems.The fourth part is based on the problems found,combined with the theory of higher-order thinking and problem design,to the high school stage based on higher-order thinking of mathematical problem design put forward a specific strategy analysis: set up ladder problems to promote the development of thinking gradient;Set up comparative problems to promote the development of analytical and comprehensive thinking;Set up problem barriers to guide the development of students' critical thinking;Pay attention to the creation of inquiring questions to promote students' innovative thinking;Reasonable design of "one problem with multiple solutions" to guide students' divergent thinking;Based on the reality of the problem design,the development of students abstract summary thinking.The fifth part,according to the design theory of higher order thinking and problem research survey found problems and proposed the specific issues of design strategy,with the function of zero section as an example a detailed teaching design,pay attention to show a variety of problems in the design process the design strategy,such as situational problems,comparative,exploratory and problems,etc.In addition,specific problem design in teaching cases is analyzed to illustrate how to develop higher order thinking from problems.The sixth part is the reflection and prospect of the research,which mainly summarizes the research conclusions,research limitations and prospects for the future development...