初中生几何推理能力认知诊断测验编制

Test Construction of Cognitive Diagnosis for Geometric Reasoning Ability of Junior High School Students

摘要: 以正处于推理能力发展关键期的初中生为研究对象，以认知诊断评价理论为指导依据，基于初中数学核心素养视域下编制初中生几何推理能力认知诊断测验。首先在初中生数学核心素养和教材内容框架内确定6个关键认知属性，同时通过学生口语报告、专家研讨等方式构建初中生几何推理能力的认知模型，然后基于实测数据与认知模型的拟合分析，对测验质量进行综合验证。结果表明，测验难度、区分度较好，信效度均达到了测量学要求，能够作为诊断初中生几何推理能力的工具。

Abstract: Taking junior high school students who are in the critical period of reasoning ability development as the research object, taking the cognitive diagnosis evaluation theory as the guiding basis, and based on the vision of junior high school mathematics core literacy, the cognitive diagnosis test of junior high school students’ geometric reasoning ability was developed. Firstly, six key cognitive attributes are determined within the framework of junior high school students’ mathematical core literacy and textbook content. At the same time, a cognitive model of junior high school students' geometric reasoning ability is constructed through students’ oral reports and expert discussions. Then, based on the fitting analysis of measured data and cognitive model, the test quality was comprehensively verified. The results show that the difficulty and discrimination of the test are good, and the reliability and validity meet the measurement requirements. The test can provide a new perspective for deeply understanding the inner psychological structure and external evaluation indexes of junior high school students' geometric reasoning ability, and provide an empirical basis for designing more targeted teaching intervention programs.