Making Upper Division Mathematics Courses More Relevant for Future High School Teachers: The Case of Inquiry-Oriented Dynamical Systems and Modeling

该项目旨在为国家利益服务，为未来的中学数学教师创建和调查上师选修课，面向探究的动态系统和建模的影响。在这样做的时候，这个NSF IUSE：EDU学生学习水平II项目旨在解决有据可查的高年级数学课程和未来中学教师的需求之间的脱节。该项目将包括开发一个开放源代码的学期课程，其中建模应用程序将包括学生感兴趣的各种环境，生态，可持续性和社会问题，并将与高中数学主题密切相关。该课程将包括学生的任务以及教师资源和教学策略。该项目将调查中学数学内容和教学之间的深入和有意义的联系的前景和可能性，特别是针对未来的中学教师的面向探究的动态系统和建模课程。该项目将得到来自多所大学的多元化研究人员团队以及数学教育，数学和中学教育顾问的支持。一个国家专家咨询委员会将就项目小组的核心工作向其提供咨询意见，并将评估项目的成功情况。该项目有可能对本科数学教育产生重大影响，并通过课程和计划与数学界一起传播工作来间接影响中学数学教育。（1）创建包括学生任务和教师资源的开源课程，（2）研究课程对未来教师内容知识的影响，他们如何参与数学实践的共同核心标准，以及他们对数学教学和学习的信念，以及（3）推广到数学界，旨在支持其他人为未来的中学教师设计和修改高年级数学课程。这四个专题研究问题涉及未来教师的：1）内容知识，2）参与的数学实践标准，3）教与学的信念，和4）从事近似的教学实践。这项工作既有实际的贡献（创建一个新的课程）和基于设计的研究（产生关于教师的中学数学知识的研究知识，他们对数学教学和学习的信念，以及他们的数学和专业实践）的理论贡献。该项目将包括三个学期的课堂设计实验迭代在三个不同的背景下，每个将包括一个三阶段的回顾性数据分析。该项目将通过出版物、网站、讲习班、会议和工作组传播其成果，以期让早期课程采用者参与课程编制。NSF IUSE：EDU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。该项目的部分资金来自Robert Noyce教师奖学金计划。该奖项反映了NSF的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。

This project aims to serve the national interest by creating and investigating the impact of an upper division elective course, Inquiry-Oriented Dynamical Systems and Modeling for prospective secondary mathematics teachers. In doing so, this NSF IUSE: EDU Engaged Student Learning Level II project aims to address the well-documented disconnect between upper division mathematics courses and the needs of prospective secondary school teachers. This project will include the development of an open-source semester-long curriculum, where modeling applications will include a variety of environmental, ecological, sustainability, and social issues of interest to students and which will be intimately connected to high school mathematics topics. The curriculum will include student tasks as well as teacher resources and strategies for teaching the course. The project will investigate the prospects and possibilities for deep and meaningful connections between secondary school mathematics content and teaching in an Inquiry-Oriented Dynamical Systems and Modeling course specifically for prospective secondary teachers. The project will be supported by a diverse team of researchers at multiple universities and consultants from math education, mathematics, and secondary education. A National Advisory Board of experts will advise the project team on its core work and will assess the success of the project. The project has potential to significantly impact undergraduate mathematics education and to indirectly impact secondary mathematics education through the curriculum and plans to disseminate work with the mathematics community.The three broad goals of the project are: (1) creation of the open-source curriculum including student tasks and instructor resources, (2) research on the impact of the curriculum related to prospective teachers content knowledge, how they engage in the Common Core Standards for Mathematical Practice, and their beliefs about teaching and learning mathematics, and (3) outreach to the mathematics community aimed at supporting others in designing and modifying upper division mathematics courses for prospective secondary teachers. The four project research questions concern prospective teachers': 1) content knowledge, 2) engagement in the Standards for Mathematical Practice, 3) beliefs on teaching and learning mathematics, and 4) engagement in approximations of teaching practice. This work has both practical contributions (creation of a new curriculum) and theoretical contributions from design-based research (producing research knowledge about teachers' knowledge of secondary mathematics, their beliefs about mathematics teaching and learning, and their mathematical and professional practices). The project will include three semester-long classroom design experiment iterations in three different contexts and each will include a three-phase retrospective data analysis. The project will disseminate its results through publications, a website, workshops, conferences, and working groups with an eye on engaging early curriculum adopters to inform the curriculum development. The NSF IUSE: EDU 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.Partial funding for the project is from the Robert Noyce Teacher Scholarship program.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.