Research On Teaching Design Based On The Unit Teaching Mode With The Theme Of Establishing CPFS Structure

The new round of curriculum reform aims to change the test-oriented education of "knowledge + problem-solving ability".With the deepening of the new curriculum reform,educators pay more and more attention to the cultivation of high-quality talents.In this context,the "Mathematics Curriculum Standards for General High Schools(2017 Edition,Revised in 2020)" proposes six core competencies in mathematics,and under the guidance of the "student-oriented" concept,it emphasizes cultivating students’ awareness of applied mathematics and improving students’ problem-solving ability.The core literacy of mathematics is difficult to reflect in a single knowledge point and is hidden in the mathematical knowledge system.Therefore,unit teaching has gradually come to the forefront of teaching reform.The introduction of core literacy has forced the reform of teaching design,and the teaching design has been transformed from class hours to units.There is a need to provide teachers with methods and advice on instructional design.Professor Yu Ping proposed four modes of unit teaching,focusing on the operability and applicability of unit teaching."Unit teaching mode with the theme of establishing individual CPFS structure" is one of the modes,and this study is based on this mode to carry out unit teaching.Design research.The CPFS structure is a unique cognitive structure of mathematics learning psychology.It pays attention to the integrity and systematicness of mathematical knowledge,and internalizes concepts and propositions in the learners’ brains according to the logical system of knowledge.Problem solving ability is positively correlated.The unit teaching mode with the theme of establishing individual CPFS structure often breaks through the limitation of chapters,integrates knowledge with strong correlation in different chapters,can shape the complete cognitive structure of students,and is an effective way to develop the six core competencies of mathematics.Instructional design based on this model is generally used for review lessons,but also for new lessons.The study is divided into seven parts for research.The first chapter is the introduction,which introduces the background information,research questions and research methods of the study,and defines the concepts of unit teaching,unit teaching design,CPFS structure theory,and unit teaching mode with the theme of establishing individual CPFS structure.The second chapter is the literature review.It refers to the research status of the unit teaching mode with the theme of establishing individual CPFS structure,and analyzes the research status.The third chapter is to investigate the status quo,conduct individual interviews with teachers,conduct questionnaire surveys on students,and summarize the current status of teachers’ teaching and students’ learning by analyzing the collected data.The fourth chapter is based on the unit teaching mode with the theme of establishing individual CPFS structure,and on the basis of the third chapter,it proposes the teaching design process,which are the preparation link,the design link,and the reflection and evaluation link.The fifth chapter is the case design.According to the two structures of the model,two lessons,"Basic Inequality(review lesson)" and "spatial line and surface position relationship(review lesson)" are selected to provide teaching design cases from the unit perspective.The sixth chapter,based on the conclusions of the questionnaires and interviews,consults the literature,and gives suggestions for the teaching design of the unit teaching mode with the theme of establishing the individual CPFS structure.The seventh chapter is the conclusion,reflects on the shortcomings of this research.