Collaborative Research: Justification and Argumentation: Growing Understanding of Algebraic Reasoning (JAGUAR)

协作研究：论证和论证：加深对代数推理的理解 (JAGUAR)

• 批准号: 0814829
• 负责人: Sean Larsen
• 金额: $ 51.17万
• 依托单位: Portland State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2009
• 资助国家: 美国
• 起止时间: 2009-01-01 至 2013-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0814829&HistoricalAwards=false
• 关键词: Collaborative; Research; Justification; Argumentation; Growing

Project Abstract: The main goal of the project is to understand how teachers 1) develop specific mathematical knowledge (algebraic justification), 2) transform this knowledge to classroom practice, and 3) advance in their pedagogy to promote students? learning. The project will clarify the meaning of justification for school algebra through collaborations among mathematicians, teachers, and mathematics educators. The project focuses on the important and under-explored connection between teachers? mathematical learning in a professional development environment and the subsequent a) changes in their teaching practice and b) continued deepening of their content knowledge in practice. Additionally, by working with a select group of exemplary teachers, the project explores the development of advanced inquiry teaching, namely teaching that supports students? mathematics learning via justification activities. The project design features a coordinated two-pronged approach in which teacher learning is examined in the context of a mathematics content course and the teachers? own classrooms. Data collection activities are designed to facilitate coordinated analyses to investigate connections across these two contexts. The summer course for teachers is modeled on a course that has been implemented successfully as part of an NSF-funded professional development project. Similarly, activities conducted with teachers during the academic year will provide opportunities for the teachers to develop advanced teaching practices and opportunities for the project team to investigate the development process. The project will utilize and extend existing instruments for assessing students? and teachers? understanding of justification. Algebra and algebraic reasoning are core to the discipline of mathematics and have national importance for the development of qualified STEM workforce.

项目摘要：该项目的主要目标是了解教师如何1）发展具体的数学知识（代数论证），2）将这些知识转化为课堂实践，以及3）推进他们的教学法以促进学生？学习该项目将通过数学家、教师和数学教育工作者之间的合作，阐明学校代数正当性的意义。该项目的重点是重要的和未充分探索教师之间的联系？在专业发展环境中的数学学习和随后的a）教学实践的变化和B）在实践中不断深化的内容知识。此外，通过与一组优秀教师的合作，该项目探讨了高级探究教学的发展，即支持学生的教学？通过合理化活动进行数学学习。该项目的设计特点是协调的双管齐下的方法，其中教师学习的背景下，数学内容的课程和教师？自己的教室。数据收集活动旨在促进协调分析，以调查这两种情况之间的联系。教师暑期课程是仿照一门课程，已成功实施的一部分，国家科学基金会资助的专业发展项目。同样，在学年期间与教师一起开展的活动将为教师提供发展先进教学实践的机会，并为项目小组提供调查发展过程的机会。该项目将利用和扩展现有的工具来评估学生？和教师？理解正当性。代数和代数推理是数学学科的核心，对于合格的STEM劳动力的发展具有国家重要性。