RUI: CSUMS: Research in Scientific Computing in Undergraduate Education (RESCUE)

GottliebDMS-0802974 这个项目的总体目标是准备本科数学学生，并让他们参与，在计算数学的持续研究经验。 PI和她在马萨诸塞州大学达特茅斯的同事们通过设计从大一开始的研究型课程，并让高年级学生参与持续和重要的研究经验，将科学计算研究融入本科课程。 该项目通过从入门级到毕业的研究，完全将研究嵌入本科课程，创造了一个综合的本科研究经验。这种方法的本质是指导学生进入计算机科学的研究问题和研究方法，从高中学生开始招聘，大一和大二学生通过精心选择的研究主题进行计算科学研究，并最终在主要的高级本科生研究项目中，预期的结果是在SIAM，AMS或MAA会议上进行专业演示，和准备一份可发表的研究论文。 这个项目的一个组成部分涉及到识别，培训和支持学生从群体中通常不代表在scientificcomputing，鼓励和支持在这一领域的多样性。这个项目让学生参与一个综合项目，引导他们从在课程工作中使用计算工具到在研究项目中开发和使用计算工具。它作为一个模型的课程，刺激计算科学的研究活动作为数学学位课程的一个组成部分，从大一开始。 这个项目的首要目标是将研究活动纳入本科生的课程中。 该计划彻底改变了马萨诸塞州达特茅斯大学的数学教学，包括在整个本科数学课程的课程研究为基础的活动。 该项目对本科课程的结构产生了重大影响，通过从大一开始引入研究研讨会，将跨年级的学生联系在共同的目标和队列中，并刺激新的基于研究的计算科学课程。此外，对高中学生和他们的数学教师的推广对计算数学领域的认识和计算科学的职业产生了影响。该项目的方法认识到，学生可以被吸引到科学计算的职业生涯，并通过在整个本科教育中从事真正的研究为基础的活动做好准备。 这种方法的好处是，它通过吸引有才华的学生到科学计算领域，并在工具和数值方法的分析方面对他们进行培训，以解决各种现实问题，从而建立了一个更强大，更多样化的计算科学家群体。该项目得到了MPS数学科学部、MPS多学科活动办公室和EHR本科教育部的支持。

GottliebDMS-0802974 The overall goal of this project is to prepare undergraduatemathematics students for, and engage them in, a sustainedresearch experience in computational mathematics. The PI and hercolleagues at the University of Massachusetts Dartmouth integrateresearch in scientific computing into the undergraduatecurriculum by designing research-based courses from the Freshmanlevel upwards, and engaging upper-level students in a sustainedand significant research experience. The project creates anintegrated undergraduate research experience by engaging studentsin research from the introductory level through graduation,completely embedding research into the undergraduate curriculum. The essence of this approach is to mentor students into genuineresearch problems and research methods in computational science,beginning with senior high school students for recruitmentpurposes, freshman and sophomore students for orientation toresearch in computational science through carefully selectedresearch topics, and culminating in major senior undergraduateresearch projects where an expected outcome is professionalpresentation at a SIAM, AMS or MAA meeting, and preparation of apublishable research paper. An integral part of this projectinvolves the identification, training, and support of studentsfrom groups not normally well-represented in scientificcomputing, to encourage and support diversity in this field. This project engages students in an integrated program that leadsthem from the use of computational tools in course work to thedevelopment and use of computational tools in research projects. It serves as a model for a curriculum that stimulates researchactivity in computational science as an integral part of amathematics degree program, from the freshman year onwards. The overriding goal of this project is to include andintegrate research activities into the undergraduate mathematicscurriculum. This program revolutionizes the teaching ofmathematics at the University of Massachusetts Dartmouth byincluding research-based activities in courses across theundergraduate mathematics curriculum. This project has asignificant impact on the structure of undergraduate courses byintroducing research seminars from the freshman year, linkingstudents across year levels in common goals and cohorts, andstimulating new research-based courses in computational science. Furthermore, outreach to high school students and theirmathematics teachers has an impact on awareness of the field ofcomputational mathematics and careers in computational science. The approach of this project recognizes that students can beattracted to and prepared for a career in scientific computing byengaging in genuine research-based activities throughout theirundergraduate education. The benefit of this approach is that itbuilds a stronger and more diverse population of computationalscientists by attracting talented students to the field ofscientific computing and training them in the tools and analysisof numerical methods for solution of various real-world problems. The project is supported by the MPS Division of MathematicalSciences, the MPS Office of Multidisciplinary Activities, and theEHR Division of Undergraduate Education.