基于学科能力视角的高考数学北京卷命题研究

A Study of the Test Development of the Beijing College Entrance Examination of Mathematics from the Perspective of Disciplinary Competences

以数学学科能力发展的3×3要素模型为理论依据,通过分析2017—2019年高考数学北京卷试题对数学学科能力的考查情况,研究在各个能力层级上的试题分布。针对新高考数学不分文理科命题提出:1)关注对学生数学学科能力及素养层面的考查和区分;2)探索考查学生数学建模素养的有效方式;3)创新试题考查形式,研究开放性试题的命题方向。

Based on the theoretical model of mathematical competencies, this article analyses the Beijing College Entrance Examination of Mathematics from 2017 through 2019, studies the distribution of test questions at different levels of competence, and puts forward some suggestions for future test development, namely, testing students in terms of their mathematical competences, exploring effective ways to test mathematical modeling literacy, reforming the test format, and developing open-ended questions.