REU Site: MathILy Early Scholarly Training (MathILy-EST)

该奖项将为Mathematical Staircase，Inc.管理的REU网站计划提供三年的支持。通过为数学职业生涯早期的学生提供七到八周的夏季研究计划，增加数学劳动力的深度。 特别鼓励属于数学代表性不足的群体的学生申请。 该计划每年将为6名早期本科生提供服务，并与Mathily（严肃的数学注入了乐趣）在同一个校园内运行，Mathily是一个为期5周的非常有选择性的基于探究的教育体验计划，适用于才华横溢的高中生。MathILy-EST（MathILy早期学术培训，发音为“mathily-est”）侧重于没有其他研究机会的学生，并将（a）培养学生进行研究所需的数学思维，（B）增加参与者在教育管道中的持久性，（c）为学生和早期教师研究主管提供指导，及（d）透过邻近及定期举行联合活动，提供与MathILy的异花授粉。 这个REU网站计划将为MathILy-EST参与者提供积极获取和创造数学知识的早期经验，这反过来又使他们能够在传统的数学课程中取得成功。软件使用，简历构建，演讲技巧和写作方面的培训将为参与者提供在STEM劳动力中具有竞争力所需的非正式知识和职业技能。MathILy-EST参与者与MathILy学生和教师之间的交叉施肥将是重要的：MathILy的高中参与者将把REU参与者视为数学榜样和短期的未来自我。他们将看到他们周围发生的研究过程，并获得对数学事业的看法。MathILy的学生和MathILy-EST的参与者都将把他们的网络扩展到不同年龄段的学生。 同伴网络的创建沿着对参与者的指导将增加他们获得进一步数学教育和研究经验的坚持性。 MathILy-EST REU的存在将促使教师与一年级大学生讨论利用他们的技术专长的夏季机会，从而促进一年级大学生在他们的家庭部门更富有成效的建议。MathILy-EST参与者将产生，呈现和发表原创研究。 该计划的目标是特殊的一年级大学生，与二年级和进入大学的学生也考虑参与。 MathILy-EST的数学重点每年都会发生变化。这些项目将根据导师的可用性从以下主题中抽取：折纸的组合学，整数中的字长（加法数论），自由边界问题（离散偏微分方程），连续时间博弈论和组合表示理论。 MathILy-EST REU学生将定期向彼此介绍他们的研究进展，并提供有关他们的研究方法和演讲技巧的反馈。学生将被要求每周以书面形式（LaTeX）记录工作，以便在研究进展到出版时正式提供写作练习和论文草稿的素材。 在MathILy-EST REU计划结束时，主任将与学生制定计划，包括子目标和时间表，以传播他们的研究成果。这将包括讨论潜在的地方（MAA）和国家（JMM）会议演讲和论文提交。更多细节可在www.example.com上获得http://www.mathily.org/mathilyest/index.htmlThis奖项反映了NSF的法定使命，并被认为值得通过使用基金会的知识价值和更广泛的影响审查标准进行评估来支持。

This award will provide three years of support for the REU Site program managed by Mathematical Staircase, Inc. to increase the depth of the mathematical workforce by offering a seven- to eight-week summer research program for students early in their mathematical careers. Students belonging to groups underrepresented in mathematics are especially encouraged to apply. This program will serve 6 early undergraduates each year and be run on the same campus as MathILy (serious Mathematics Infused with Levity), a 5-week very selective program of inquiry-based educational experiences for highly talented high-school students. MathILy-EST (MathILy Early Scholarly Training, pronounced "mathily-est") focuses on students who do not have other research opportunities, and will (a) train students in the mathematical thinking needed to conduct research, (b) increase participant persistence in the educational pipeline, (c) provide mentoring for students and early faculty research supervisors, and (d) provide cross-pollination with MathILy by proximity and by holding regular joint activities. This REU Site program will give MathILy-EST participants early experience in active acquisition and creation of mathematical knowledge, which will in turn enable them to succeed in traditional mathematics classes. Training in software use, CV construction, presentation skills, and writing will give participants the informal knowledge and career skills needed to be competitive in the STEM workforce. Cross-fertilization between MathILy-EST participants and MathILy students and instructors will be significant: High-school participants in MathILy will see REU participants as mathematical role models and short-term future selves. They will see the processes of research happening around them and gain perspective on the mathematical enterprise. MathILy students and MathILy-EST participants alike will expand their networks beyond usual class cohorts to students of different ages. The creation of peer networks along with mentoring of participants will increase their persistence in acquiring further mathematical education and research experience. The existence of the MathILy-EST REU will prompt faculty discussion with first-year college students of summer opportunities that use their technical expertise, and thereby catalyze more fruitful advising for first-year college students within their home departments.MathILy-EST participants will produce, present, and publish original research. The program targets exceptional first-year college students, with second-year and entering college students also considered for participation. The mathematical focus of MathILy-EST will change each year. The projects will be drawn from the following topics according to mentor availability: combinatorics of paperfolding, word length in the integers (additive number theory), free boundary problems (discrete PDEs), continuous-time game theory, and combinatorial representation theory. MathILy-EST REU students will present their research progress to each other on a regular basis, with feedback provided on their research methods and presentation skills. Students will be asked to record work in writing (in LaTeX) weekly, to provide practice in writing formally and fodder for paper drafts once research has progressed to the point of publication. At the end of the MathILy-EST REU program, the director will make plans with students, including sub-goals and timelines, for dissemination of their research results. This will include discussing potential local (MAA) and national (JMM) conference presentations and paper submissions. More details are available at http://www.mathily.org/mathilyest/index.htmlThis award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.