IAS/Park City Mathematics Institute

该提案已提交给数学科学和初等、中等和非正式教育部门，为国际数学协会/帕克城数学研究所（PCMI）寻求部分支持。研究计划、研究生暑期学校、本科暑期学校和女性数学指导计划从1999年开始，为期5年。为高中教师计划寻求部分支持，为期两年。其余项目将从其他来源获得支持。IAS/Park City数学研究所（PCMI）是新泽西州普林斯顿高等研究院的一个项目。PCMI的使命是促进数学和数学教育的研究，并改善从K-12到研究生院各个层次的数学教育。它建立在数学家、教育者和学生之间的动态互动对数学事业的最佳运作至关重要的前提之上。它在推动这一目标方面有8年的经验，主要得到了国家科学基金会的支持。高等研究所的赞助反映了该研究所致力于将研究界的活动扩展到更广泛的社会目标。PCMI的活动包括一个针对所有参与者的为期三周的夏季会议，一个针对当地高中教师网站团体的全年计划，一个针对女性数学的指导计划，以及一个针对高中教师校友网站的持续外展计划。PCMI的主要焦点是为期三周的夏季会议，参与者聚集在一起分享信息和经验。夏季会议围绕一个研究主题组织，为所有课程提供学术重点。1999年的研究课题是算术代数几何。暑期班包括六个项目：本科暑期学校、研究生暑期学校、数学研究项目、高中教师项目、本科教师项目和数学教育研究项目。所有的项目在一个地方和一个时间出现，给整个企业一种高度的精神，而这往往是这些团体单独开会时所缺乏的。例如，教育节目为每个人提供了一个生动的对话主题。这导致了更多的非正式和随意的互动，打破了高级研究人员、新博士、学生和高中教师之间的障碍。这种互动在思想的交流和合作的开始方面有预期的回报。夏季会议的整体远远大于其各部分的总和。

This proposal is submitted to the Divisions of Mathematical Sciences and Elementary, Secondary, and Informal Education, seeking partial support for the IAS/Park City Mathematics Institute (PCMI). Support for the Research Program, the Graduate Summer School, the Undergraduate Summer School, and the Mentoring Program for Women in Mathematics is requested for five years, beginning in 1999. Partial support for the High School Teachers Program is sought for two years. Support for the remaining programs will be found from other sources.The IAS/Park City Mathematics Institute (PCMI) is a program of the Institute for Advanced Study in Princeton, New Jersey. The mission of the PCMI is to promote research in both mathematics and mathematics education, and to improve mathematics education at every level from K-12 through graduate school. It is built on the premise that dynamic interaction among mathematicians, educators, and students is essential to the optimal functioning of the mathematical enterprise. It has eight years of experience in promoting this goal, supported in major part by the National Science Foundation. Sponsorship by the Institute for Advanced Study reflects the Institute's commitment to extend the activities of the research community toward such broader societal goals.The activities of the PCMI include a three-week Summer Session for all participants, a year-round program for local high school teachers site groups, a Mentoring Program for Women in Mathematics, and a ContinuingOutreach Program for Alumni Sites of high school teachers.The primary focus of the PCMI is the three-week Summer Session, where participants gather to share information and experiences at many levels. The Summer Session is organized around a Research Topic that provides the academic focus for all programs. In 1999 the Research Topic will be Arithmetic Algebraic Geometry.The Summer Session includes six programs: the Undergraduate Summer School, the Graduate Summer School, the Research Program in Mathematics, the High School Teacher Program, the Undergraduate Faculty Program, and the Research Program in Mathematics Education. The presence of all of the programs in one place and at one time gives the whole enterprise a high spirit that is often lacking when one of these groups meets by itself. For example, the educational programs provide a subject for animated conversations involving everyone. This leads to more informality and casual interaction, breaking barriers between advanced researchers, fresh PhDs, students, and high school teachers. This kind of interaction has the expected payoff in terms of felicitous exchange of ideas and the beginnings of collaborations. The whole of the Summer Session is far greater than the sum of its parts.