SOLO分类理论下高考数学试题评析与解题策略——以2025新高考数学新课标I卷、II卷三角函数为例

Analysis and Problem-Solving Strategies of College Entrance Examination Mathematics Questions under the SOLO Taxonomy Theory—Taking the Trigonometric Functions of the 2025 New College Entrance Examination Mathematics Papers I and II as Examples

摘要: 本文基于SOLO分类理论，聚焦三角函数模块对2025新高考数学新课标I卷、II卷高考试题进行分析和研究，从两卷的试题结构分布上看，较多题目处于“多点结构水平”和“关联结构水平”两个思维层次。2025年高考命题再度创新试题设计，以三角函数设置问题情境，考察学生的创新思维，处于“关联水平”和“抽象扩展水平”思维层次之间的试题分值较以往有所提高。根据统计与分析，总结并提出课堂教学应以促进学生思维从低阶向高阶迁移的建议，从而实现提高教师课堂教学质量和学生思维能力的双重导向。

Abstract: Based on the SOLO Taxonomy, this paper focuses on the trigonometric function module to analyze and study the 2025 New College Entrance Examination Mathematics Papers I and II. From the structural distribution of the questions in both papers, many questions fall into two thinking levels: “multi-point structure level” and “associative structure level”. The 2025 College Entrance Examination question design innovated again, using trigonometric functions to set up problem scenarios and examine students’ innovative thinking. The scores for questions between the “associative level” and “abstract extension level” thinking levels increased compared to previous years. Based on statistics and analysis, suggestions are summarized and proposed that classroom teaching should promote the transfer of students’ thinking from lower to higher orders, thereby achieving a dual orientation of improving the quality of teachers’ classroom teaching and students’ thinking abilities.