首页|基于SOLO分类理论的高考三角函数试题评析——以2023年4套高考数学试卷为例

基于SOLO分类理论的高考三角函数试题评析——以2023年4套高考数学试卷为例

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利用SOLO分类理论对全国甲卷理科卷、全国乙卷理科卷、全国Ⅰ卷和全国Ⅱ卷4套试卷的三角函数试题进行统计分析,发现4套试卷对于三角函数的考查内容全面,题型结构稳定.一级知识的考查频数从高到低排序依次为:三角函数的概念与性质、解三角形、同角三角函数的基本关系式、三角恒等变换;二级知识中考查最多的是余弦定理.试题整体处于中阶思维水平,思维能力划分清晰,有着明显的SOLO梯度.具体来看,多点结构水平试题最多,关联结构水平试题分值最高,整体思维考查处于多点结构水平和抽象拓展结构水平之间.这提示教师要夯实三角函数基础知识,加强知识的变式训练;构建知识网络,重视主题—单元整体教学;设计多思维水平试题,实现因材施教.
Analysis of Trigonometric Function Test Questions in College Entrance Examination Based on SOLO Taxonomy Theory—Taking Four Sets of Mathematics Papers for the College Entrance Examination in 2023 for Example
SOLO taxonomy theory is used to analyze the trigonometry questions in four sets of examination papers,including National Science Paper A,National Science Paper B,National Science Paper I and National Science Paper II.It is found that the examination content of the four sets of examination papers is comprehensive and the question structure is stable.The examination frequency of first level knowledge,from the highest to the lowest,is as follow:the concept and property of trigonometric function,the solution of triangle,the basic relationships of trigonometric function of the same angle,the trigonometric identities transformation;the cosine theorem is the most frequently examined part of the secondary knowledge.The overall thinking level is at intermediate level,the thinking ability is clearly divided,exhibiting a clear SOLO progression.To be specific,the majority of questions are at the multiple structure level,with highest scoring questions at the level of associated structure.The overall thinking of trigonometric function questions is between the level of multiple structure and the level of abstract extended structure.This suggests that teachers should consolidate the basic knowledge of trigonometric function,enhance students'ability to apply knowledge in different context;construct the knowledge network and attach importance to theme-unit integral teaching;design multi-thinking level test questions,implement individualized teaching.

college entrance examination mathematicstest questions analysisSOLO taxonomy theorytrigonometric functionlevel of thinkinghierarchy of thinking

王允、张盼、马迎宾

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河南师范大学数学与信息科学学院(新乡453007)

高考数学 试题分析 SOLO分类理论 三角函数 思维水平 思维层次

河南省教育科学规划课题(十四五)河南师范大学高等教育改革研究与实践项目

2021YB0073YJS2021JG05

2024

教育测量与评价
湖南省教育考试院

教育测量与评价

影响因子:0.346
ISSN:1674-1536
年,卷(期):2024.(2)
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