在“零碎的”二级统计课程中发展统计推理——下一步

R. Peck, S. Obispo
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摘要

在过去的十年里,统计和数据分析已经成为美国中学数学课程中一个更加明显的组成部分。在大多数情况下,统计和数据分析主题已经被划分并通过数学课程传播。然而,统计学的许多重要概念本质上不是数学的,不容易融入现有的数学课程。因此,大多数学生完成中学教育时,已经看到了一些图形和数值统计方法,但没有遇到成熟统计推理所需的许多关键概念。认识到不可能在中学课程中单独增加统计学课程,因此提出了另一种办法。在美国统计协会(ASA)和ASA/NCTM(全国数学教师委员会)关于K-12课程中的概率和统计联合委员会的支持下,为中学生设计了一个顶点体验。《统计研究的意义》是一套协调一致的案例研究,可以整合到数学课程中,为学生提供对数据分析过程的理解,并帮助他们发展概念理解,为统计推理提供基础。本文为会议主题“提高学生在校学习水平的课程材料和工具”做了贡献。
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Developing statistical reasoning in a “piecemeal” secondary statistics curriculum—the next step
In the last decade, statistics and data analysis have become a more visible component of the secondary school mathematics curriculum in the United States. In most cases, statistics and data analysis topics have been divided up and spread through the mathematics curriculum. However, many important concepts of statistics are not mathematical in nature and are not easily integrated into existing mathematics courses. As a consequence, most students complete their secondary education having seen a number of graphical and numerical statistical methods but having not encountered many key concepts required for mature statistical reasoning. Recognizing that the addition of a separate statistics course to the secondary curriculum is unlikely, an alternate approach is proposed. With support from the American Statistical Association (ASA) and the ASA/NCTM (National Council of Teachers of Mathematics) Joint Committee on Probability and Statistics in the K-12 Curriculum, a capstone experience for secondary students has been designed. Making Sense of Statistical Studies is a coordinated and coherent set of case studies that can be integrated into mathematics courses to provide students with an understanding of the data analysis process and help them develop the conceptual understanding that provides the foundation for statistical reasoning. This paper contributes to the conference topic of curricular materials and tools for improving students’ learning at school level.
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