SOLO分类视角下高中数学教材习题探析

Analysis of High School Mathematics Textbook Exercises from the Perspective of SOLO Taxonomy

摘要: 数学核心素养具有显性与隐性双重性质，关键能力是数学核心素养的外在表现，也是数学课程目标培养的核心，可用学生的具体行为来描述。其指引着数学课程教学的新方向，同时也是评估数学课程标准实施情况的指标。本研究以高中数学人教A版“函数的概念与性质”章末习题为例，根据课程标准对于学业的要求，借助SOLO分类理论对教材习题进行分析，发现教材习题存在明显的SOLO梯度。且主要集中在多元结构(M)和关联结构(R)水平，关键能力水平随着思维层次的进阶依次叠加，同时注重对学生数学抽象、逻辑推理和数学运算能力的培养。可见教材习题为广大一线教师提供了切实可行的教学路径。

Abstract: Mathematics core literacy has the dual nature of explicit and invisible, the key ability is the external expression of mathematics core elements, but also the core of mathematics curriculum goal training, and can be described by the specific behavior of students. It guides the new direction of mathematics curriculum teaching and is also an index to evaluate the implementation of mathematics curriculum standards. This study takes the exercises at the end of the chapter “The Concept and Nature of Functions” in the A edition of high school Mathematics Teaching as an example. According to the academic requirements of the curriculum standards, the exercises in the textbook are analyzed with the help of SOLO classification theory, and it is found that there are obvious SOLO gradients in the textbook exercises. It mainly focuses on the level of multiple structure (M) and relational structure (R), and the level of key ability is superimposed with the advanced level of thinking, while focusing on the cultivation of students’ mathematical abstraction, logical reasoning and mathematical operation ability. It can be seen that the textbook exercises provide a practical teaching path for the majority of front-line teachers.