Study On Review Teaching Of High School Coordinate System And Parameter Equation Based On Cognitive Diagnosis

This paper takes the contents of the high school coordinate system and the parameter equation as the carrier to carry out the application research of mathematics teaching and learning based on the theory of cognitive diagnosis.It mainly includes the following three parts:The first is the compilation of the diagnostic test volumes of the high school coordinate system and the parameter equation content.I initially construct a cognitive model of high school coordinate system and the parameter equation by analysis of high school mathematics curriculum standard exam outline,and nearly 10 years of mathematics new curriculum of national college entrance examination question.I verify that the established cognitive attribute model has a good maneuverability and a high completeness in content through the part of the students by thinking aloud method and attribute recognition questionnaire to mathematics teachers.And then I make a diagnostic test roll.I choose 5 classes of 271 students for project prediction,using Excel and SPSS software to the project difficulty,discrimination,reliability analysis,the final formation of test volumes with good reliability,identification and difficulty.Second,the cognitive diagnosis of the content of the high school coordinate system and the parameter equation.In this paper,the R matrix,which embodies the indirect or direct relations between attributes,and 26 ideal modes of attribute mastering are obtained After determining the attributes and hierarchical relations.According to the rule space model theory,the 26 ideal project response pattern matrices corresponding to the 26 ideal attributes mastering patterns are obtained.A total of 543 students from 5classes of senior three liberal arts were selected to conduct the test.Each test volume is assigned in accordance with the prescribed items.Taking 26 ideal reaction modes as the initial class centers,we use K-Means clustering analysis method to cluster the 543subjects' scores,and verify the validity of the classification.A total of statistical analysis methods were used to analyze the overall situation and difference of test scores.According to the classification results.We calculated the percentage of attribute control and gave diagnostic reports for classes and individuals.Third,according to the diagnosis report,the remedial teaching of the class and the individual is designed respectively.