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。该项目旨在满足对为未来教师提供机会在先前知识和未来任务之间建立联系的计划的需求，并使他们能够通过参与数学的教与学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，重点放在为中学数学提供基础的基本结果上。这些单位将结合校本实地经验。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，将数学内容和教育学结合在一起，在大学预科和大学层面上。评估将提供对项目成功的反馈，以及关于本科生(特别是未来的教师)如何发展对抽象数学的理解的见解。“概念验证”项目的结果将为以概念为基础的完整课程的开发提供信息。当局将探讨其他来源，为全面发展计划提供资金。

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.