IAS/Park City Mathematics Institute

本建议已提交给数学科学处和小学、中学和非正规教育处，以寻求对国际数学协会/帕克市数学研究所(PCMI)的部分支持。要求从1999年开始，为研究方案、研究生暑期学校、本科生暑期学校和妇女数学辅导方案提供为期五年的支持。为高中教师计划寻求两年的部分支持。对其余项目的支持将从其他来源获得。IAS/帕克市数学研究所(PCMI)是新泽西州普林斯顿高级研究所的一个项目。PCMI的使命是促进数学和数学教育的研究，并改善从K-12到研究生院的各级数学教育。它建立在这样的前提下，即数学家、教育者和学生之间的动态互动对于数学事业的最佳运作至关重要。它在推动这一目标方面有八年的经验，主要得到了国家科学基金会的支持。高级研究所的赞助反映了研究所致力于将研究界的活动扩展到这些更广泛的社会目标。PCMI的活动包括为所有参与者举办的为期三周的夏季会议，为当地高中教师网站小组提供的全年计划，女性数学辅导计划，以及高中教师校友网站的持续外联计划。PCMI的主要重点是为期三周的夏季会议，在那里参与者聚集在一起，在多个层面上分享信息和经验。夏季课程围绕一个研究主题组织，该主题为所有课程提供学术焦点。1999年的研究主题是算术代数几何。暑期班包括六个项目：本科生暑期班、研究生暑期班、数学研究计划、高中教师计划、本科教师计划和数学教育研究计划。所有项目同时出现在一个地方，给整个企业带来了一种高涨的精神，而当其中一个团队单独会面时，这种精神往往是缺乏的。例如，教育项目为涉及每个人的动画对话提供了一个主题。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、应届博士、学生和高中教师之间的障碍。这种互动在恰当的思想交流和合作的开始方面具有预期的回报。夏季会议的整体远远大于各部分的总和。

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.