Research On The Evaluation Model Of Mathematical Innovation Awareness Of Junior High School Students

Innovation is the cornerstone of the progress and development of human society.Developing and cultivating students ’ awareness of mathematical innovation is a clear requirement of ’ Compulsory Education Mathematics Curriculum Standards(2022 Edition)’.In order to solve the problems of inconsistent understanding of the concept of mathematical innovation consciousness,the lack of necessary documentary guidance for teachers and the difficulty of evaluating students ’ mathematical innovation consciousness,this paper takes the members of the core expert database and the first-line mathematics educators as the research object,follows the basic idea of the development of basic education evaluation tools,that is,’ determining the connotation-determining the operational definition-constructing the evaluation index system-constructing the evaluation model-validating the evaluation model ’,and adopts the methods of literature research,expert consultation,questionnaire survey and mathematical statistics to construct the evaluation model of junior high school students ’ mathematical innovation consciousness.The research process and conclusions are as follows :Firstly,the connotation of mathematical innovation consciousness is determined as follows : mathematical innovation consciousness is a kind of psychological tendency and thinking reaction to find,ask,analyze and solve problems with a mathematical vision of ’ seeking differences ’.Secondly,the operational definition of mathematical innovation consciousness is : junior high school students ’ mathematical innovation consciousness is the comprehensive performance of junior high school students ’ innovative quality,innovative thinking,innovative methods and innovative ways when they participate in mathematical activities.Thirdly,the evaluation index system of junior high school students ’mathematical innovation consciousness is determined,which mainly includes four first-level indicators of innovative quality,innovative thinking,innovative methods and innovative methods,and 16second-level indicators such as independent thinking and tenacious will.Fourthly,the linear expression of the evaluation model of junior high school students ’ mathematical innovation consciousness is constructed : Y = 0.23 A + 0.25 B + 0.26 C + 0.26 D,where A is the first-level index innovation quality,B is the first-level index innovation thinking,C is the first-level index innovation method,and D is the first-level index innovation method.Fifthly,the adaptability test,model and data fitting analysis and expert evaluation are carried out on the constructed evaluation model of junior high school students ’ mathematical innovation consciousness.The verification results show that the constructed model has high adaptability and can better fit the data.Experts believe that the constructed model is excellent.According to the conclusion of the study,from the development of the evaluation tool,the implementation of the survey and the analysis of the survey results into the thinking of the application of the model,and according to the structure of the evaluation model,four enlightenments on the cultivation of junior high school students ’ mathematical innovation consciousness are obtained : attach importance to the cultivation of innovative quality;cultivating innovative thinking should be both divergent and convergent;focus on the power of ’ conjecture ’;give students the opportunity to find problems and ask questions.