数学教育学报2026，Vol.35Issue(2)：23-30,8.
新高考数学创新题型评析及教学建议
Analysis of Innovative Mathematics Question Types in the New College Entrance Examination and Teaching Recommendations
摘要
Abstract
To accelerate the construction of a strong education nation and cultivate innovative talents,this study analyzes the dimensions and trends of assessing innovative abilities in the college entrance examination mathematics section.Through statistical analysis of innovative mathematics questions from 2020 to 2025,textual analysis was conducted across five dimensions:context,question formulation,format,knowledge integration,and thinking.Findings reveal:The number of context-innovation questions remains stable,focusing on solid geometry and mathematical modeling;knowledge-integration questions have significantly increased in the past three years,gradually becoming a prominent question type,frequently integrating modules such as functions and derivatives,sequences,and emphasizing the assessment of mathematical abstraction and logical reasoning;the number of flexible-thinking questions fluctuates but remains high,emphasizing innovative,reverse,and divergent thinking.Based on these findings,the following teaching recommendations are proposed:Flexibly utilize textbooks to strengthen knowledge connections;implement problem-posing instruction to foster innovative thinking;optimize homework assignments to enhance the ability to synthesize and apply knowledge.关键词
高考数学/数学创新题型/评析/教学建议Key words
college entrance examination mathematics/innovative mathematics question types/evaluation and analysis/teaching recommendation分类
社会科学引用本文复制引用
李红梅,万春华..新高考数学创新题型评析及教学建议[J].数学教育学报,2026,35(2):23-30,8.基金项目
四川省高等教育人才培养质量和教学改革项目——基于AI赋能的"教—学—管—评"思维模式下灵动课程建设(JG2024-0823) （JG2024-0823）
四川省哲学社会科学重点研究基地(西华师范大学四川省教育发展研究中心)资助项目——素养导向下初中数学"问题提出"教学及实践研究(CJF25019) （西华师范大学四川省教育发展研究中心）
南充市社会科学研究"十四五"规划2025年度项目——素养导向下数学问题提出教学任务设计研究(NC25B344) （NC25B344）
