Connections between Advanced and Secondary Mathematics: Exploring the Impact of Abstract Algebra on the Teaching and Learning of Secondary Mathematics

高等数学与中学数学的联系：探讨抽象代数对中学数学教学的影响

• 批准号: 1830121
• 负责人: Erin Baldinger
• 金额: $ 9.5万
• 依托单位: University of Minnesota-Twin Cities
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2019
• 资助国家: 美国
• 起止时间: 2019-01-01 至 2019-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1830121&HistoricalAwards=false
• 关键词: Connections; between; Advanced; Secondary; Mathematics

This conference project will bring together a diverse group of scholars and practitioners interested in studying the connections between abstract algebra as studied at the university level and the abstract algebra used by teachers in K-12 mathematics. Recent policy documents advocate for including advanced topics such as abstract algebra as a fundamental part of secondary teacher preparation, and a large majority of schools require students to take abstract algebra. Understanding the implications of such a requirement is imperative to improving secondary mathematics education. This conference will gather together people interested in this topic by providing a common space that cuts across communities (e.g., teaching institutions, research institutions, teacher educators), an opportunity not typically offered by established conferences and meetings. Through the dedicated working groups at the conference, all attendees will make progress on research and professional development that will directly contribute to advancing knowledge around the role of connections between advanced and secondary mathematics (particularly abstract algebra) in the preparation of teachers.The conference will meet three objectives. The first objective will be to share current research on mathematical connections between advanced and secondary mathematics, focusing specifically on abstract algebra. The second objective will be to develop plans for research and/or professional development to expand current knowledge on connections between advanced and school mathematics, so that attendees can take concrete steps to move research forward. The third objective will be to provide a space for mathematicians, mathematics educators, and other stakeholders to discuss their work and develop a common vision for future directions. In particular, opportunities will be provided to look across research and practice, name common goals, and elaborate a trajectory for researching and supporting the needs of secondary school teachers to understand and use abstract algebra in their teaching.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该会议项目将汇集一群多样化的学者和从业人员，有兴趣研究大学一级研究的抽象代数之间的联系与K-12数学中教师使用的抽象代数。最近的政策文件倡导包括高级主题，例如抽象代数作为中学教师准备的基本组成部分，而大多数学校都要求学生参加抽象代数。了解这种要求的含义对于改善二级数学教育至关重要。这次会议将通过提供一个跨越社区（例如，教学机构，研究机构，教师教育工作者）的共同空间来聚集对此主题的人们，这是一个通常不由已建立的会议和会议提供的机会。通过会议上专门的工作组，所有与会者都将取得研究和专业发展的进步，这将直接有助于促进围绕高级数学和二级数学（尤其是抽象代数）在教师准备方面的联系的知识。会议将符合三个目标。第一个目标是分享有关高级数学和二级数学之间数学联系的当前研究，专门针对抽象代数。第二个目标是制定研究和/或专业发展的计划，以扩大有关高级数学和学校数学之间联系的当前知识，以便与会者可以采取具体步骤来推进研究。第三个目标是为数学家，数学教育者和其他利益相关者提供一个空间，以讨论他们的工作并为未来的方向发展共同的愿景。特别是，将提供机会进行研究和实践，命名共同目标，并阐述一种研究和支持中学教师需求的轨迹，以在其教学中理解和使用抽象代数。这项奖项反映了NSF的法定任务，并通过使用该基金会的知识分子功能和广泛的影响来评估NSF的法定任务。