基于核心素养的高中数学教材习题与课程标准的一致性研究——以北师大版和人教版教材“概率与统计”内容为例

Research on the consistency of high school mathematics textbook exercises and curriculum standards based on core literacy:A case study of the content of"Probability and Statistics"in the textbooks of Beijing Normal University Publishing House Edition and People's Education Press Edition

采用喻平提出的数学核心素养评价框架,并结合SEC一致性分析模型,以人教版(2019年)和北师大版(2020年)高中数学教材“概率与统计”内容中的习题及《课标(修订版)》为研究对象,从整体一致性、内容主题和认知水平三个维度对两版教材习题与《课标(修订版)》进行一致性比较研究.结论如下:从整体一致性来看,两版教材习题与《课标(修订版)》的一致性系数均小于临界值,人教版教材习题与《课标(修订版)》更契合;从内容主题和认知水平来看,两版教材习题在数学核心素养考查上虽各有侧重,但在兼顾“四基”“四能”培养的同时都注重对数学学科核心素养的培养和提高.建议要仔细研读教材,细化并不断完善课程标准,将数学核心素养的考查均衡分布于高中数学教材习题中.

By using the mathematics core literacy evaluation framework proposed by Yu Ping,combined with the SEC consistency analysis model,the exercises in the content of"Probability and Statistics"in the high school mathematics textbooks of the People's Education Press Edition(2019)and the Beijing Normal University Publishing House Edition(2020)and the Curriculum Standard(Revised Edition)were taken as the research objects.From the three dimensions of overall consistency,content theme and cognitive level,the two editions of textbook exercises and Curriculum Standard(Revised Edition)on the consistency were compared and studied.The conclusions are as follows:from the overall consistency,the consistencycoefficients between the exercises of the two editions of the textbook and the Curriculum Standard(Revised Edition)are both less than the critical value,and the exercises of the People's Education Press Edition of the textbook are more in line with the Curriculum Standard(Revised Edition);in terms of the content theme and cognitive level,although the exercises in the two editions of textbooks have their own emphasis on the examination of mathematical core literacy,they both focus on the cultivation and improvement of the core literacy of mathematics while taking into account the cultivation of"four basics"and"four abilities".It is recommended to study the textbooks carefully,refine and continuously improve the curriculum standards,and distribute the examination of mathematical core literacy evenly among the exercises in high school mathematics textbooks.