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立足于课本知识,用本原性问题命制试题,可以引导学生围绕问题进行火热的思考,建构相关知识之间的逻辑联系,挖掘问题背后的深刻背景和思想方法,从而真正提升学生的数学素养。作为数学教学中“评价与反馈”环节的重要组成部分,试题命制也有“基于学科内在逻辑”和“基于本原性问题”两种思路。“指向学科研究方法和研究思路的试题命制”~([1])可以看作是基于学科内在逻辑的命题思路,而本文将通过一道三角函数模拟题的命制历程来谈谈基于本原性问题的命题思路。笔者在参与上海市浦东新区2015届高三数学一
Based on the knowledge of textbooks and the test questions of the original problems, we can guide the students to think fieryly around the questions, construct the logical connection between relevant knowledge, and excavate the profound background and ways of thinking behind the questions so as to improve students’ mathematical literacy . As an important part of “evaluation and feedback” in mathematics teaching, the test questions have two kinds of train of thought: “based on the internal logic of the discipline” and “based on the original problem”. "~ ([1]) can be regarded as propositional thinking based on the inner logic of the subject, and this article will discuss the life history of the subject based on the trigonometric function Propositional thinking of the primitive problem. I participated in the Pudong New Area, Shanghai 2015 senior high school mathematics one