The Research Of High School Students' Key Competences Evaluation Index System Of Mathematics

"Cultivating people by virtue" has become the fundamental task of education in China,and effectively cultivating students ' key competences literacy in education and teaching is an important measure to fully implement the fundamental task.At present,the reform of high school mathematics curriculum in China has entered the stage of deepening.How to scientifically evaluate the key competences of high school students in mathematics has naturally become an important problem in the implementation of "cultivating people by virtue",which is also a major problem that needs to be solved in the academic circle.Through existing research,it is found that the academic circle currently lacks a relatively mature scientific evaluation of the key competences of high school students in mathematics with both theoretical support and technical operation.In view of this,this study tries to build the "the key competences evaluation index system of mathematics in high school students" based on the existing research,in order to provide reference for the work of mathematics education theory and the front-line mathematics teachers.This study divides the theme of "Study on the key competences evaluation index system of mathematics in high school students" into four questions:First,what are the theoretical basis and principles of constructing the key competences evaluation index system of mathematics in high school students ? Second,what are the first-level indicators and secondary indicators to the key competences evaluation index system of mathematics in high school students,and what is the weight of each index?Third,how is the effectiveness of the key competences evaluation index system of high school students in mathematics? Fourth,how to implement the key competences evaluation index system of high school students? Based on the above research problems,this paper analyzed the literature method,expert consultation method,hierarchical analysis method,investigation method and fuzzy comprehensive evaluation method,and concluded the following aspects:First,the construction of the key competences evaluation index system of mathematics in high school students should be based on Bloom education objective classification theory,systematic theory and fuzzy mathematics theory,but also follow the principle of combining completeness and consistency,the principle of combining scientific nature and effectiveness,and the principle of combining independence and integrity.On this basis,the study uses literature,expert consulting,and hierarchical analysis,and obtains 6 primary indicators and 19 secondary indicators for the key competences evaluation index system of mathematics in high school students.The 6primary indicators include logical reasoning,mathematics,mathematics abstract,mathematical modeling,intuitive imagination,data analysis,whose weight is 0.190,0.175,0.174,0.164,0.149,0.148.At the same time,the secondary indicators under the logical reasoning have analogical reasoning,inductive reasoning,deductive reasoning,whose weight is 0.135,0.279 and 0.586;The secondary indicators under mathematical operation have operation object,rule,method and application,whose weight is 0.231,0.243,0.206,and 0.320;The secondary index under mathematical abstract have symbolic abstract and mode abstraction,whose weight is 0.574 and0.426;The secondary indicators under mathematical modeling have problem consciousness,mathematical language,model application and innovation ability,whose weight is 0.352,0.280,0.201 and 0.167;The secondary indicators under the intuitive imagination have geometric intuition,spatial imagination and digital shape combination,whose weight is 0.207,0.209 and 0.584;The secondary indicators under data analysis have data awareness,analysis methods and statistical inference,whose weight is 0.242,0.387 and 0.371.Then,in order to verify the effectiveness of the key competences evaluation index system of mathematics in high school students,the study uses the test method,the fuzzy comprehensive evaluation method and the questionnaire survey method.First,through the use of fuzzy comprehensive evaluation method,the evaluation index system can basically reflect the key competences of mathematics in high school students of different grades in different schools;Second,through the correlation analysis of the test situation of students' key competences in mathematics subjects and their self-evaluation of mathematics learning,the two are positively correlated as the whole;Third,through the differential analysis of the test situation of students in Grade two and three and students in four schools,the key competences of mathematics of students in Grade three is significantly better than that Grade two and significant differences in key competences of students in different schools.The above three aspects are in line with our teaching practice and experience,which shows that the key competences evaluation index system of mathematics for high school students constructed in this study has a certain effectiveness.In addition,the students majoring in science and technology are significantly better than the student majoring in liberal arts,but there is no significant difference between men and women.Finally,by reflecting on the whole research process of the construction and demonstration of the key competences evaluation index system of mathematics in high school students,some suggestions in the implementation process of the evaluation index system are obtained from it's operation and improvement.(1)Pays attention to the top-level design concept of the evaluation index system,and integrates China's guiding ideology on education evaluation;(2)Establishes the correct concept of literacy evaluation,and creates a positive guiding atmosphere in the implementation of the evaluation index system;(3)Pays attention to the effectiveness of the application of the evaluation index system,and develops scientific core literacy evaluation tools of mathematical disciplines;(4)Enhances the applicability of the evaluation index system,and considers the differences of students ' key competences of mathematics as a whole;(5)Expands the scope of evaluation index system and improves the ability of mathematics teachers to use educational theory.This study is obtained through a variety of research methods,ranging from college researchers and senior high school math teachers and students.Therefore,the research results are based on the combination of theory and practice.Therefore,this research has some theoretical and practical value for the evaluation of the key competences of mathematics in high school students.