An Integrated Program of Training in Mathematics

数学综合培训计划

• 批准号: 9819728
• 负责人: Calvin Moore
• 金额: $ 259.37万
• 依托单位: University of California-Berkeley
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1999
• 资助国家: 美国
• 起止时间: 1999-07-01 至 2004-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9819728&HistoricalAwards=false
• 关键词: Integrated; Program; Training; Mathematics

9819728The University of California Berkeley Mathematics Department VIGRE program is designed to improve the Department's training programs for mathematics scholars and educators at all levels. The program will try to create a community of scholars who all feel that they and their work are an integral part of a connected whole.During the last few years the Department has been engaged intensively in review and revision of the entire curriculum. The most extensive revision effort to date has been in the lower-division where teams of faculty and graduate students from the Mathematics Department, often joined by faculty and graduate students from other departments, have been designing worksheets and computer modules to be used in the discussion sections of our calculus courses. Students in these courses will experience a more active learning environment. At the upper-division level, we plan to introduce new courses to enrich the curriculum and that will introduce our majors to applications of mathematics. One such course already successfully in place is a course on Wavelets and Signal Processing. Others will follow. Professors Moore and Wu have been awarded a grant by the Stuart Foundation to develop materials for a new course for math majors going into secondary school teaching and as a course open to current secondary school teachers for professional development. The concept of the course would be "High School Mathematics from an Advanced (i.e. College) Point of View". The underlying idea flows from Felix Klein's famous little book "Elementary Mathematics from an Advanced Standpoint". The VIGRE grant will help us to employ this course for professional development of current high school teachers. The Department has also initiated a new program TeachMath to prepare secondary school mathematics teacher leaders. Mathematics majors can enroll in this program in their senior year and simultaneously complete the major and begin education courses and practice teaching. In a fifth year they complete their teacher training and take two additional mathematics course. We provide a stipend to students who are enrolled in the program. Graduate curriculum revision is underway but is only in its initial phase.The Department has started on an experimental basis a program of undergraduate research seminars. A senior faculty member will lead the seminar in which an average of about 7 or 8 of our most talented undergraduate majors will participate as an Undergraduate Research Experience and will receive a stipend. After a few initial lectures by the faculty member to set the stage, students will read journal articles and present, under the guidance of the faculty member, the results in the paper or papers, and in the process filling in some details. This experience will help students learn how to access and use the mathematics literature, and will enhance their communications skills. A graduate student, usually a student working on a dissertation with the faculty member, will assist in the seminar, thus leading to a vertical integration from research to graduate education to undergraduate education. VIGRE funding is needed to continue and increase this program by providing research stipends. We will also initiate a program of summer research projects that will in many cases flow out of these research seminars so students can deepen and extend their research experience and receive a stipend for work in the summer.At the graduate level, our goal in the VIGRE program is first to decrease average time to degree, to build on the strengths of our applied mathematics program and our connections with the Lawrence Berkeley National Laboratory (LBNL) in order to encourage more of our students to take advantage of the opportunities in applied areas that are available. We will strongly encourage all graduate students to take a summer internship in industry or a National Laboratory. The eleven VIGRE traineeships will be dedicated to support first year students with the goal of providing every first year student with fellowship or traineeship support. We believe that ensuring that no first year student serves as a Graduate Student Instructor (GSI) is the best use of the VIGRE funds to reduce average time to degree for our graduate students. During subsequent years the VIGRE trainees will serve as GSIs, will receive training and mentoring for their teaching, and will have a substantial teaching experience of having independent responsibility for a course in Summer Session, with appropriate mentoring by a senior faculty member.The five half-time VIGRE postdoctoral fellowships will be coupled with teaching appointments funded by the University. All postdoctoral fellows will be assigned a mentor who will be a senior member of the faculty whose duties will include not only mentoring the research program of the fellow, but also their teaching. Teaching assignments will consist of upper division and graduate courses. Postdoctoral fellows will be encouraged to broaden their experience through contacts with other Departments on campus and through contacts at LBNL.The Department will systematically collect quantitative and qualitative data concerning performance on a number of key indicators of the VIGRE program, and we will appoint a Visiting Committee which will visit the Department yearly and provide us with an external evaluation of our progress toward our goals.Funding for this award is provided by the Division of Mathematical Sciences, the MPS Directorate's Office of Multidisciplinary Activities and Elementary, Secondary and Informal Education (ESIE).

9819728该加州伯克利分校数学系VIGRE计划的目的是提高该部门的培训计划的数学学者和教育工作者在各级。该计划将努力创造一个学者的社区，他们都觉得他们和他们的工作是一个相互联系的整体的一个组成部分。在过去的几年里，该部门一直致力于审查和修订整个课程。迄今为止最广泛的修订工作一直在较低的部门，其中教师和研究生团队从数学系，经常加入教师和研究生从其他部门，一直在设计计算机和计算机模块用于我们的微积分课程的讨论部分。 参加这些课程的学生将体验到更活跃的学习环境。在高年级，我们计划推出新的课程，以丰富课程，这将介绍我们的专业数学的应用。一个这样的课程已经成功地到位是一个课程的波动和信号处理。其他人也会效仿。摩尔教授和吴教授获得了斯图尔特基金会的资助，为进入中学教学的数学专业的新课程开发材料，并作为一门课程向现任中学教师开放，以促进专业发展。该课程的概念将是"从高等（即大学）角度看高中数学"。基本思想来自Felix Klein的著名小书“从高级观点看初等数学”。该VIGRE赠款将帮助我们雇用本课程的专业发展，目前高中教师。该部还启动了一个新的TeachMath方案，以培养中学数学教师领导人。数学专业的学生可以在大四的时候参加这个项目，同时完成专业课程并开始教育课程和实践教学。在第五年，他们完成教师培训，并采取两个额外的数学课程。我们为参加该项目的学生提供助学金。研究生课程的修订正在进行中，但只是在初步阶段。该部门已开始在实验基础上的本科生研究研讨会计划。一位资深教师将领导研讨会，其中平均约7或8个我们最有才华的本科专业将作为本科研究经验参加，并将获得津贴。经过几个初步讲座由教师设置的阶段，学生将阅读期刊文章，并提出，在教师的指导下，在论文或论文的结果，并在此过程中填写一些细节。这种经验将帮助学生学习如何访问和使用数学文献，并将提高他们的沟通技巧。一名研究生，通常是与教师一起撰写论文的学生，将协助研讨会，从而实现从研究到研究生教育再到本科教育的垂直整合。需要VIGRE资金通过提供研究津贴来继续和增加这一计划。我们还将启动一个暑期研究项目计划，在许多情况下，这些项目将从这些研究研讨会中产生，这样学生就可以加深和扩展他们的研究经验，并在夏季获得工作津贴。在研究生阶段，我们在VIGRE计划中的目标首先是减少平均学位时间，建立在我们的应用数学计划的优势和我们与劳伦斯伯克利国家实验室（LBNL）的连接以鼓励更多的学生利用现有的应用领域的机会。 我们将大力鼓励所有的研究生采取在行业或国家实验室的暑期实习。11个VIGRE实习生将致力于支持一年级学生，目标是为每个一年级学生提供奖学金或实习支持。我们相信，确保没有一年级学生担任研究生导师（GSI）是VIGRE资金的最佳利用，以减少我们的研究生平均学位时间。在随后的几年里，VIGRE学员将担任GSI，将接受培训和指导他们的教学，并将在夏季课程中独立负责一门课程的大量教学经验，并由一名高级教师进行适当的指导。五个半职VIGRE博士后奖学金将与大学资助的教学任命相结合。所有博士后研究员将被分配一位导师，他将是教师的高级成员，其职责不仅包括指导研究员的研究项目，还包括他们的教学。教学任务将包括高年级和研究生课程。将鼓励博士后研究员通过与校园内其他部门的联系和通过LBNL的联系来扩大他们的经验。该部门将系统地收集有关VIGRE计划的一些关键指标的定量和定性数据，我们将任命一个访问委员会，每年访问我们的部门，为我们实现目标的进展提供外部评估。该奖项由MPS理事会多学科活动和小学、中学和非正规教育办公室（ESIE）数学科学部提供。