摘要
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。
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 pro perty 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.
作者
王允
张盼
马迎宾
WANG Yun;ZHANG Pan;MA Yingbin
出处
《教育测量与评价》
2024年第2期71-84,共14页
Educational Measurement and Evaluation
基金
河南省教育科学“十四五”规划项目“初中数学教师专业发展对课堂教学实践有效性影响的实证研究”(2021YB0073)
河南师范大学高等教育改革研究与实践项目“全日制教育硕士实践教学能力培养研究”(YJS2021JG05)的研究成果。
关键词
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
college entrance examination mathematics
test questions analysis
SOLO taxonomy theory
trigonometric function
level of thinking
hierarchy of thinking
