Making Mathematical Connections in Programs for Prospective Teachers

数学科学（21）在这个“概念证明”项目中，正在为未来的教师开发几何和抽象代数模块，将这两个领域结合起来，并强调大学预科和本科数学之间的联系。该项目旨在满足对方案的需求，这些方案为未来的教师提供机会，将先前的知识与未来的任务联系起来，并使他们能够通过参与数学的教学和学习来构建新的数学和教学知识。该项目将设计几何和抽象代数的综合单元，重点是为中学数学提供基础的基本结果。这些单元将结合学校的实地经验。大学数学教师，中学教师，研究生和本科生将共同参与专业发展活动，将大学预科和大学水平的数学内容和教学法联系在一起。评估将提供项目成功的反馈，以及对本科生（特别是未来的教师）如何发展抽象数学的理解的见解。“概念验证”项目的结果将为基于该概念的完整课程的开发提供信息。将探索其他来源，为全面发展提供资金。

Mathematical Sciences (21)In this "proof of concept" project, modules in geometry and abstract algebra for prospective teachers are being developed that integrate the two areas and emphasize connections between pre-college and undergraduate mathematics. The project is designed to address a need for programs that provide prospective teachers the opportunity to make connections between prior knowledge and future tasks, and to enable them to construct new mathematical and pedagogical knowledge by engaging in the teaching and learning of mathematics. The project will design integrated units in geometry and abstract algebra that focus on the basic results that provide the underpinnings for secondary school mathematics. The units will incorporate school-based field experiences.University mathematics faculty, secondary school teachers, graduate students, and undergraduates will participate together in professional development activities that tie mathematics content and pedagogy together at the pre-college and university levels. Evaluation will provide feedback on the success of the project as well as insights on how undergraduates (in particular, prospective teachers) develop an understanding of abstract mathematics. Results from the "proof of concept" project will inform the development of a full curriculum based on the concept. Additional sources will be explored for funding of the full development.