基于概率素养的数学教材设计特征的分析与启示——以美国CPMP教科书为例

Analysis and Inspiration of the Characteristics of Mathematical Textbook Design Based on Probability Literacy——Take CPMP Textbook as an Example

本文根据概率素养的要素,对美国CPMP高中数学教科书9年级概率专题进行分析,得出以下结论:CPMP教科书的设计提供了丰富而易理解的概率与统计语言;任务的设计与组织突出数学的联系;呈现概率模型探索的推理过程与方法;利用各种社会问题情境发展批判意识;利用核心概念群促进学生建构随机性概念;以"问题-探究"为导向组织不同层次与功能的习题。论文最后提出了对我国教材设计中落实数学核心素养的启示。

According to the elements of probability literacy, the probability topic of grade 9 of CPMP high school mathematics textbook in the United States was analyzed. The design of probability project in CPMP textbook has many features. First, it provides a richer probabilistic and statistical language;Second, the task highlights the connection between mathematics. Third, it presents the reasoning process and method for exploring probabilistic model. Fourth, it uses a variety of social situations to help learners to develop critical awareness;Fifth, it uses the core concept group to promote students to construct the concept of randomness.Sixth, it organizes exercises of different levels and functions under the guidance of 'question-inquiry'. Finally,some implications are given for the implementation of the core quality of mathematics in the textbook design in our country.