Design Research On The Curriculum Organizational For Competition Geometry Based On Systematic Thinking

The existence of competition mathematics has proved its value,but the development of competition mathematics is constantly disputed,because there are some problems in the specific teaching practice,such as not paying attention to the improvement of students' research ability.The experience shows that system is the key word to solve problems,and there is a lack of research on competition mathematics courses.Therefore,the research method of educational design is chosen and the core problem is determined as follows:in order to promote the improvement of students' research ability,how to design the organizing mode of competition geometry course under the guidance of system thinking? And the core question is divided into three sub-questions:What is the form of course organization based on system thinking? What is the program?Will it help students improve their research ability?Firstly,the foundation of the design research is combed.Through literature review,the research status is clarified,and then the research methods are introduced and the reasons for choosing the research method of educational design are expounded.Afterwards,using the literature research method,based on the general principles of course organization and the characteristics of system thinking,the principles of design include integrity,structure,openness and creativity.Then based on the nature and function of competition mathematics education,combining with practical problems,the target is refined.Finally,the specific content of competition geometry was sorted out by combining the books related to competition geometry,and the main contents were defined as basic graphics,geometric transformation and important theorems,and the basic graphics knowledge was determined as the organizing object of the course.The preparation work of design research is completed from these aspects.Then the research is carried out around the sub-question.Starting from the definition of system thinking and combining with the general mode of curriculum organization,a new organizational form is formulated around the first sub-question.Based on the second sub-question,the general procedure of course organization design is drawn up,which mainly includes four steps: defining elements,defining special graphics,exploring nature and combing nature.When defining geometric elements,the information exploration method is adopted to divide graphic elements into basic elements(constitutive elements,derived elements)and related elements(define elements,inference elements),and on this basis,special graphics are defined.Then,the three dimensions of nature exploration(general graphic nature or special graphic nature,qualitative nature or quantitative nature,dynamic nature or static nature)are defined.Finally,according to the relationship between the described elements,all the properties are sorted out.Then the complete quadrilateral is used to design a specific example of course organization,mainly chooses the basic element and the definition element high line to carry on the nature exploration,and presents the exploration process;Then the related properties are sorted out.At last,several new properties are presented directly.Around the third sub-problem,first of all,the education experiment method is adopted,the concrete teaching practice on the basis of the new curriculum organization,making students explore independently related properties of pseudo altitude.The experimental class has explored out 18 characters,far more than that in the control class of 7 characters.By comparing the results of the experimental class and the control class,it is shown that the organization method is helpful to the improvement of learners' exploration ability.Through the above research,the definition of geometric elements is refined detailedly,the way of organizing competition geometry course is enriched,and many new properties of complete quadrilateral are obtained.