Brainstorming and Barnstorming: An REU site at KSU

头脑风暴和巡回演讲：KSU 的 REU 站点

• 批准号: 0453572
• 负责人: David Auckly
• 金额: --
• 依托单位: Kansas State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-04-01 至 2008-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0453572&HistoricalAwards=false
• 关键词: Brainstorming; Barnstorming; REU; site; KSU

``Brainstorming and barnstorming,'' is an NSF funded research experience for undergraduates site at Kansas State University that will run for three consecutive years starting in the Summer of 2005. Each year the program will accept 10 undergraduates and employ fourteen faculty for an eight-week program. The primary objectives of this REU will be: 1)recruit new talent into mathematics 2) help these students make the transition from problems that take minutes to solve to problems that take years to solve; 3) expose these students to a variety of mathematical ideas that they might not ordinarily encounter in their studies. The academic portion of the program will utilize three separate components to achieve these objectives. Each component is an adaptation of a program that has already been a success in the Kansas State University mathematics department. The first activity will be modeled on the KSU problem seminar and problem-solving group. In the problem seminar, faculty members show students problem-solving techniques. In the problem-solving group students collaborate on challanging problems that may require the new techniques. The second activity will introduce the participants to a problem from applied mathematics. Each year this problem will be a simplification of a problem coming from the aviation industry. The problem will be similar in scope to the problems in theMathematical Contest in Modeling. After an initial introduction to the applied problem, the students will be split into three groups and each group will be asked to develop a solution to the problem. After one week of progress, the groups will be brought back together and the various approaches will be compared and synthesized. The faculty will suggest improvements and the participants will agree on a plan of research for the remaining weeks. The third activity will be a notions and open research problems seminar in pure mathematics. There will be regular ``after math'' social activities. The highlight of these activities will be flight training for interested students.

“头脑风暴和巡回演讲”是美国国家科学基金会资助的堪萨斯州立大学本科生研究项目，将从2005年夏天开始连续三年进行。每年该计划将接受10名本科生，并聘请14名教师进行为期8周的课程。这个REU的主要目标是：1）招募新的人才进入数学2）帮助这些学生从需要几分钟解决的问题过渡到需要几年解决的问题; 3）让这些学生接触到他们通常不会在学习中遇到的各种数学思想。 该计划的学术部分将利用三个独立的组成部分来实现这些目标。每一个组成部分都是对一个已经在堪萨斯州立大学数学系取得成功的项目的改编。第一个活动将仿照KSU问题研讨会和问题解决小组。 在问题研讨会上，教师向学生展示解决问题的技巧。在问题解决小组中，学生们合作解决可能需要新技术的问题。第二个活动将向参与者介绍一个应用数学问题。每年这个问题都是航空业问题的简化。这个问题的范围与数学建模竞赛中的问题相似。 在对应用问题进行初步介绍后，学生将被分成三组，每组将被要求提出问题的解决方案。在取得进展一周后，各小组将重新聚集在一起，对各种方法进行比较和综合。教师将提出改进建议，参与者将商定剩余几周的研究计划。第三个活动将是一个概念和纯数学开放研究问题研讨会。 将有定期的“数学后”社交活动。 这些活动的重点将是为感兴趣的学生提供飞行培训。