VIGRE: Integration of Research and Education in Mathematics and Applied Mathematics

VIGRE：数学和应用数学研究与教育的整合

• 批准号: 9977372
• 负责人: Joseph Silverman
• 金额: $ 275.86万
• 依托单位: Brown University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2000
• 资助国家: 美国
• 起止时间: 2000-07-01 至 2006-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9977372&HistoricalAwards=false
• 关键词: VIGRE; Integration; Research; Education; Mathematics

AbstractBrown The Mathematics Department and the Division of Applied Mathematics at Brown University will undertake a program of integration of research and education, supported by a grant from the NSF VIGRE Program. We will develop activities on the undergraduate, graduate and postdoctoral level which will strengthen and provide better coordination for the mathematical sciences program of the two departments. Through the participation and support of the members of the Mathematics and Applied Mathematics departments, in particular VIGRE Postdoctoral Instructors, VIGRE Graduate Trainees and Brown undergraduates, our program will forge scientific communication and research interaction between participants at all levels of mathematical experience and seniority. The VIGRE program is an opportunity for the Mathematics Department and the Division of Applied Mathematics to review and reshape their graduate and undergraduate programs, responding to changes in the discipline, research priorities and the evolving landscape of career opportunities for Mathematics degree holders with experience in research. We plan to rethink our programs, broaden their scope and deepen their contributions to graduate education, without enlarging the size of the mathematical sciences program at Brown. Our main objectives are to develop innovative activities in our programs which will serve (1) to provide modes of scientific interaction between practicing research mathematicians and students of mathematics at all levels, (2) to give our graduate and undergraduate students more in-depth contact with areas and material of current research interest, and (3) to produce graduate students who are more scientifically literate and more articulate, and who possess the basic skills for a wider range of career possibilities after completing their degree. This program will support 12 graduate students as VIGRE graduate trainees (GTs), 3 VIGRE postdoctoral fellows (VPs) and up to 12 undergraduate research projects (UTRAs) at a time. These resources will be shared equally between the two mathematics departments as described below. The VIGRE program at Brown will consist of the following components: (1) a graduate traineeship program (GTs) (2) an undergraduate tutoring and research program (UTRAs) (3) a postdoctoral fellowship program (VPs) (4) support for a mentoring program for women in sciences (WiSE) and under-represented minorities in sciences (ExSEL) (5) a graduate and peer tutoring resource center in mathematics for undergraduates (MRC) (6) a program of outreach to gifted high school students at local area high schools (7) a program of outreach for disadvantaged high school students, resumed education students and their teachers (8) a program of internships with industry and with the National Laboratories Graduate Traineeships (GTs) sponsored by VIGRE are opportunities for students to complete a graduate education in mathematics in a stimulating and research productive environment, with a balanced number of research and teaching semesters, and with adequate summer support. Postdoctoral Fellows (VPs) will have the opportunity to work closely in research groups, with reduced teaching load and with close contact with both senior faculty and graduate students.Principal features of the graduate, undergraduate and postdoctoral programs include: (1) A series of VIGRE graduate seminars, modeled on the example of a 'literature seminar' and/or a 'lab meeting' that is common in experimental sciences. (2) Additional advanced graduate/research level seminars, on a broad set of current topics in mathematics and applied mathematics. (3) A seminar course series in the graduate program focusing on scientific communication and effective mathematics instruction. (4) A focus on individual undergraduate research activities (UTRAs), directed by faculty and VIGRE Postdoctoral fellows.Resources for these activities will come both from the VIGRE program grant and from an increased level of coordination and cooperation between the Mathematics Department and the Division of Applied Mathematics. Graduate Trainees supported by VIGRE will expect support for five years of study, and teach between two and four semesters during their tenure at Brown. They will also participate in the VIGRE activities outside of their usual course work, which they will be directly involved in coordinating. Activities involving undergraduates include (1) UTRA research seminars, (2) mentoring activities with the WiSE women in sciences undergraduate support group, and with the ExSEL minority sciences support group, and (3) organization and participation in the MRC, mathematics drop-in resource centers for undergraduates. Activities which involve the local community include (4) participation in outreach programs to Providence area schools, aimed both for gifted and for disadvantaged students and for teachers, and programs in community continuing education centers.Graduate Trainees will be encouraged to broaden their scientific background, past the confines of their particular research specialization and across department boundaries. In particular the VIGRE program intends to make the interface at Brown between Mathematics and Applied Mathematics substantially more permeable. Furthermore, there will be regular programs of summer internships with industry and national labs.VIGRE Postdoctoral Fellows will benefit from the strong research environment in both the programs in mathematics and applied mathematics, and they will be expected to contribute to the VIGRE graduate seminars. They will be required to teach one course each semester that they are on campus. They will also have opportunities to collaborate with research staff at national labs and in industry, and they are expected to benefit from communication with the Brown departments of Chemistry, Computer Science, Engineering, Physics, and the campus-based group in cognition (computer and natural vision, artificial and natural intelligence).Objectives: We intend to provide our finishing PhDs with a broader view of mathematics and science, with perspective on the relationship of their particular discipline within it. They should be aware and prepared for the many possible careers both in and outside of academia that are open to degree holders with mathematics research experience. Graduate students will receive training in scientific communication and in mathematics instruction. We intend to increase the quality of our incoming graduate classes, through a focussed identification and recruitment program, and to increase the proportion of women and under represented minority students in our program. The Brown VIGRE program will pay particular attention to the problem of retention of these students. VIGRE resources will increase the number of research support semesters for participants, and as a result we expect to lower the average time to degree. We intend to produce better prepared undergraduate mathematics concentrators, who already have some research experience, many of whom are expected to go on to graduate school and subsequently a career in the mathematical sciences. We expect our VIGRE Postdoctoral Fellows to have an additional competitive advantage in the academic job market, from the breadth of their research experience at Brown, from the increased opportunity for collaborative research, from the availability of contacts with industry and national labs, and from the focus on instruction and communication of mathematics, and their experience teaching at a high quality undergraduate institution.Impact: We expect that we will be able to increase the numbers of American undergraduate majors in mathematics, and to increase the subset of the pool which goes on to graduate school in mathematics. We expect to increase the proportion of Am

摘要布朗 布朗大学数学系和应用数学系将开展一项研究与教育一体化项目，并得到 NSF VIGRE 项目的资助。我们将在本科生、研究生和博士后层面开展活动，以加强和更好地协调两个系的数学科学项目。通过数学和应用数学系成员，特别是 VIGRE 博士后导师、VIGRE 研究生和布朗大学本科生的参与和支持，我们的项目将在各级数学经验和资历的参与者之间建立科学交流和研究互动。 VIGRE 项目为数学系和应用数学系提供了一个机会，可以审查和重塑其研究生和本科生课程，以应对学科、研究重点的变化以及具有研究经验的数学学位持有者职业机会不断变化的情况。 我们计划重新考虑我们的项目，扩大其范围并加深其对研究生教育的贡献，而不扩大布朗大学数学科学项目的规模。 我们的主要目标是在我们的项目中开展创新活动，这些活动将服务于（1）在实践研究数学家和各级数学学生之间提供科学互动的模式，（2）让我们的研究生和本科生更深入地接触当前研究兴趣的领域和材料，以及（3）培养更具科学素养和更善于表达的研究生，并具备毕业后更广泛职业可能性的基本技能。 完成学位。 该计划将同时支持 12 名研究生作为 VIGRE 研究生实习生 (GT)、3 名 VIGRE 博士后研究员 (VP) 和最多 12 个本科生研究项目 (UTRA)。 这些资源将在两个数学系之间平等共享，如下所述。 布朗大学的 VIGRE 计划将由以下部分组成：(1) 研究生实习计划 (GT) (2) 本科生辅导和研究计划 (UTRA) (3) 博士后奖学金计划 (VP) (4) 支持科学界女性 (WiSE) 和科学界代表性不足的少数群体 (ExSEL) 的指导计划 (5) 布朗大学的研究生和同伴辅导资源中心 本科生数学 (MRC) (6) 为当地高中天才高中生提供的推广计划 (7) 为弱势高中生、继续教育学生及其教师提供的推广计划 (8) 由 VIGRE 赞助的工业界和国家实验室研究生实习计划 (GT) 实习计划，为学生提供在刺激和研究中完成数学研究生教育的机会 富有成效的环境，均衡数量的研究和教学学期，以及充足的暑期支持。 博士后研究员（VP）将有机会在研究小组中密切合作，减少教学负担，并与高级教师和研究生保持密切联系。研究生、本科生和博士后项目的主要特点包括：（1）一系列VIGRE研究生研讨会，以实验科学中常见的“文献研讨会”和/或“实验室会议”为例。 (2) 其他高级研究生/研究水平研讨会，涉及数学和应用数学领域的广泛当前主题。 (3) 研究生课程中的研讨课程系列，重点关注科学传播和有效的数学教学。 (4) 重点关注本科生个人研究活动 (UTRA)，由教师和 VIGRE 博士后研究员指导。这些活动的资源将来自 VIGRE 项目拨款以及数学系和应用数学系之间更高水平的协调与合作。 VIGRE 支持的研究生学员将获得五年学习的支持，并在布朗大学任职期间任教两到四个学期。 他们还将参加日常课程作业之外的 VIGRE 活动，并直接参与协调。 涉及本科生的活动包括 (1) UTRA 研究研讨会，(2) 与 WiSE 科学界女性本科生支持小组和 ExSEL 少数科学支持小组的指导活动，以及 (3) 组织和参与 MRC（本科生数学临时资源中心）。涉及当地社区的活动包括 (4) 参与普罗维登斯地区学校的外展计划，该计划针对有天赋的学生和弱势学生以及教师，以及社区继续教育中心的计划。将鼓励研究生拓展其科学背景，超越其特定研究专业的范围并跨越部门界限。 特别是 VIGRE 项目旨在使布朗大学数学和应用数学之间的接口更具渗透性。 此外，还将定期与行业和国家实验室进行暑期实习。VIGRE 博士后研究员将受益于数学和应用数学项目强大的研究环境，并且预计他们将为 VIGRE 研究生研讨会做出贡献。 他们将被要求在校园内每学期教授一门课程。 他们还将有机会与国家实验室和工业界的研究人员合作，并有望从与布朗大学化学系、计算机科学系、工程系、物理系以及校园认知小组（计算机和自然视觉、人工智能和自然智能）的交流中受益。目标：我们打算为我们的即将毕业的博士提供更广阔的数学和科学视野，以及他们在其中特定学科之间关系的视角。 他们应该意识到并为学术界内外的许多可能的职业做好准备，这些职业对具有数学研究经验的学位持有者开放。 研究生将接受科学传播和数学教学方面的培训。 我们打算通过有针对性的识别和招聘计划来提高即将入学的研究生班的质量，并增加我们计划中女性和代表性不足的少数族裔学生的比例。 Brown VIGRE项目将特别关注这些学生的保留问题。 VIGRE 资源将增加参与者的研究支持学期数量，因此我们预计会缩短获得学位的平均时间。我们打算培养准备更充分的本科数学专业人才，他们已经拥有一些研究经验，其中许多人预计将继续进入研究生院，并随后从事数学科学的职业生涯。我们希望我们的 VIGRE 博士后研究员在学术就业市场上拥有额外的竞争优势，因为他们在布朗大学拥有广泛的研究经验，有更多的合作研究机会，可以与行业和国家实验室保持联系，对数学教学和交流的关注，以及他们在高质量本科机构的教学经验。影响：我们希望能够增加美国数学专业本科生的数量， 并增加进入数学研究生院的人才库的子集。 我们预计将增加Am的比例