Cases of Reasoning and Proving in Secondary Mathematics (CORP)

匹兹堡大学和相关大学的研究人员正在为职前和实习中学数学教师的专业教育开发以实践为基础的课程，该课程1)专注于推理和证明，2)以叙事案例为核心，3)支持教学所需的数学知识的发展。本课程由八组活动组成，重点放在推理和证明的关键方面，如识别模式、进行猜测、提供证据和提供非证明性论点。每个星座是一组以实践为基础的活动，这些活动以一个数学任务或一组相关任务为基础。这些活动是作为描述高中数学课堂上发生的事件的案例来开展的。教师与其他教师分析和讨论案例，以此来增加他们的数学知识，并培养他们理解学生对特定任务的反应的能力。这些案例在公布之前都经过了试点测试、修订、现场测试和再次修订。传播包括与专业组织和出版物的合作。

Researchers at the University of Pittsburgh and associated universities are developing a practice-based curriculum for the professional education of preservice and practicing secondary mathematics teachers that 1) focuses on reasoning and proving, 2) has narrative cases as a central component, and 3) supports the development of knowledge of mathematics needed for teaching. This curriculum is comprised of eight constellations of activities that focus on key aspects of reasoning and proving such as identifying patterns; making conjectures; providing proofs; and providing non-proof arguments. Each constellation is a set of practice-based activities that are anchored by a mathematical task or set of related tasks. The activities are developed as cases that portray events that unfold in a high school mathematics classroom. Teachers analyze and discuss the cases with other teachers as a way to increase their mathematical knowledge and to develop their ability to understand how students will react to specific tasks. The cases are pilot tested, revised, field tested and revised again before being published. Dissemination includes collaboration with professional organizations and publication.