"Advancing Students' Proof Practices in Mathematics through Inquiry, Reinvention, and Engagement"

本项目由美国国家科学基金改善本科STEM教育计划：教育与人力资源（IUSE: EHR）资助，旨在通过改善本科数学教育服务于国家利益。它将通过为两年制和四年制大学创建过渡到认证课程的课程模块来实现这一点。这些模块以探究式教学为基础，将由加州州立大学奇科分校、克拉克马斯社区学院、密歇根州立大学、巴特学院和胡德山社区学院合作开发。教师发展小组将在制定实施这些模块的教学策略方面提供专门知识。该项目将使用现有的方法来创造知识，以及有可能提高数学学生所经历的教育质量的创新工具。通过以探究为基础的教学，积极地让学生参与学习，可以在向证明过渡的过程中增强学生的学习体验。这一改进可能会增加学生对基于证明的数学课程的参与和坚持，从而有助于数学复杂的STEM劳动力。该项目创建的产品将作为基于网络的资源免费提供，例如在线维基式教科书和基于网络的多媒体讲师支持。该项目旨在利用现有的设计研究方法来开发基于探究的课程材料和一套资源，旨在支持教师接受与雄心勃勃的以学生为中心的教学法相关的挑战。项目可交付成果将包括模块化课程（用于帮助学生过渡到高级基于证明的数学课程）、基于网络的教师支持材料、维基教科书模板和专业发展研讨会。该项目旨在为数学教师创建一个理想的起点，以学生为中心的探究方法开始教学，这种方法更有助于学生的成功。该项目将研究如何支持学生在真实分析中重塑基础主题，以及基于探究的教学如何提供公平的结果。该项目还将调查教师在实施探究式教学时所需的支持。项目成果将通过专业发展讲习班、开放存取库、会议报告和出版物进行传播。NSF IUSE: EHR计划支持研究和开发项目，以提高所有学生STEM教育的有效性。通过参与学生学习轨道，该计划支持有前途的实践和工具的创建，探索和实施。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

With support from the NSF Improving Undergraduate STEM Education Program: Education and Human Resources (IUSE: EHR), this project aims to serve the national interest by improving undergraduate mathematics education. It will do so by creating curriculum modules for a transition-to-proof course for both two-year and four-year institutions. The modules, grounded in inquiry-based instruction, will be developed through a collaboration between California State University Chico, Clackamas Community College, Michigan State University, Butte College, and Mount Hood Community College. The Teachers Development Group will provide expertise in developing pedagogical strategies for implementing the modules. The project will use established methods to create knowledge, as well as innovative tools that have potential to improve the quality of education experienced by mathematics students. Actively engaging students in learning through inquiry-based instruction may enhance the student learning experience in the transition to proofs. This improvement may increase student entry into and persistence in proof-based mathematics courses, thus contributing to a mathematically sophisticated STEM workforce. The products created by the project will be freely available as web-based resources, such as an online Wiki-style textbook and web-based multimedia instructor supports.The project seeks to draw on established design research methodology to develop inquiry-based curricular materials and a suite of resources designed to support instructors in taking on the challenges associated with ambitious student-centered pedagogy. Project deliverables will include a modular curriculum (for use in courses designed to help students transition to advanced proof-based mathematics), web-based instructor support materials, a Wiki-textbook template, and a professional development workshop. The project will be designed to create an ideal starting point for mathematics faculty to begin teaching with student-centered inquiry methods that are known to be more supportive of student success. The project will investigate how students can be supported in reinventing foundational topics in real analysis as well as how inquiry-based instruction can provide equitable outcomes. The project will also investigate the supports instructors need in implementing inquiry-based instruction. The project outcomes will be disseminated through a professional development workshop, an open-access repository, conference presentations, and publications. The NSF IUSE: EHR Program supports research and development projects to improve the effectiveness of STEM education for all students. Through the Engaged Student Learning track, the program supports the creation, exploration, and implementation of promising practices and tools.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.