REU/RET Site: Research Experiences in Mathematics for Undergraduates and Teachers

该项目将本科生和高中教师聚集在一起，共同解决当代数学研究问题。在夏季的一段较长的时间里，参与者将以小组形式一起工作，在学习研究数学家的工作方法的同时，提高他们解决问题、沟通和智力坚持的能力。该项目的主要目标是在同行评议的学术期刊上发表基于成功研究成果的出版物。此外，通过向参与者介绍成功的研究过程，他们将为将来在研究生院和以后的数学学科中取得成功做好充分的准备。本科生和教师的联合队伍将加强当地中学数学教育的数学流畅性和活力，从而为未来的高中生提供更多的教育机会。该奖项支持加州州立大学奇科分校（CSU Chico）的本科生和教师多年研究经验（REUT）计划。在该基金资助的三年里，每年都有两名教师将指导一组10人的参与者在夏季的七周时间里研究数学研究问题。参与者大多是来自美国各地的高级本科数学学生，以及从加州北加州州立大学奇科分校所服务的地区招募的高中数学教师。研究课题是从教师顾问的专业知识，并包括引人注目的当代问题在数论，图论，交换代数，拓扑学和统计学。通过在夏季会议期间与学生进行指导研究技术，然后在接下来的几个月保持定期联系，顾问将帮助促进REUT成功的学术出版物。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。

This project brings undergraduate students and high school teachers together to solve contemporary research problems in mathematics. Working together in small groups over an extended period during the summer, the participants will enhance their abilities in problem solving, communication, and intellectual perseverance as they learn the working methods of a research mathematician. The primary goal of the project is to produce publications in peer-reviewed academic journals based on the culmination of successful research. Additionally, by introducing participants to successful research processes, they will be well-prepared for future success in mathematical disciplines in graduate school and beyond. The combined cohort of undergraduates and teachers will bolster the mathematical fluency and dynamism of local secondary mathematics education, leading to enhanced educational opportunities for future high school students. This award supports a multi-year Research Experiences for Undergraduates and Teachers (REUT) program at California State University, Chico (CSU Chico). During each of the three years funded by the grant, two faculty members will mentor a group of ten participants as they work on mathematical research problems over a seven week period during the summer. The participants are mostly advanced undergraduate students in mathematics from throughout the U.S.A., joined by high school mathematics teachers recruited from the region served by CSU Chico in northern California. The research topics are drawn from the expertise of the faculty advisors and consist of compelling contemporary problems in number theory, graph theory, commutative algebra, topology, and statistics. By engaging the students with guided research techniques during the summer session, and then maintaining regular contact in the following months, the advisors will help facilitate successful academic publications as a result of the REUT.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.