Research On The Construction Of Evaluation Model Of Junior Middle School Students’ Abstract Ability

Abstract ability is an important mathematical ability,the core accomplishment of mathematics is one of the main manifestations in junior high school and plays an important role in cultivating students’mathematical thinking.At present,the research on abstract ability pays more attention to the current situation investigation,level research,teaching practice and training strategies,and there is little research on the evaluation of abstract ability,lacking scientific evaluation tools.Abstract ability,as an implicit psychological feature,how to scientifically and effectively implement it in classroom teaching and evaluation is an important research topic.Based on the above considerations,Junior high school students are taken as the research object in this paper,based on the requirements of relevant literature and curriculum standards,and on the basis of obtaining the connotation of junior high school students’ abstract ability,constructs the operational definition of junior high school students’ abstract ability,and initially explores the evaluation index system of junior high school students’ abstract ability.With the help of Richter’s five-level scale,the evaluation index system is investigated,and finally three first-level indicators and nine second-level indicators for the evaluation of junior high school students’ abstract ability are determined.Finally,the factor analysis method is used to construct the evaluation model,and the test tools are developed to verify the model.There are three conclusions from the study:1.The operational definition of junior high school students’ abstract ability is:(1)to identify the mathematical components in the problem and clarify the essential attributes or characteristics of the research object;(2)Summarize and characterize the relationship or law of objects in quantity and graphics;(3)Forming mathematical concepts,rules or methods,and systematizing and further popularizing the concepts or methods of obtaining concepts.2.The evaluation index system of junior middle school students’ability consists of three first-level indicators and nine second-level indicators,namely,"clarifying the mathematical elements in the problem situation or figure","describing the characteristics with the help of mathematical language" and "forming general rules and conclusions".3.The evaluation model of junior high school students’ abstract ability is expressed in mathematical linearity as follows:Y=0.33A+0.34B+0.33C Where A=0.27a,+0.33a2+0.4a3 B=0.31b1+0.42b2+0.27b3 C=0.36c1+0.32c2+0.32c3Using the comprehensive weight method,the evaluation model of junior high school students’ abstract ability can be written as:Y=0.1a1+0.12a2+0.14a3+0.1b1+0.13b2+0.09b3+0.12c1+0.1c2+0.1c3...