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resource research Informal/Formal Connections
This "mini-poster," a two-page slideshow presenting an overview of the project, was presented at the 2023 AISL Awardee Meeting.
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TEAM MEMBERS: Mary Carlson Katharine Banner Elizabeth Burroughs
resource research Informal/Formal Connections
This "mini-poster," a two-page slideshow presenting an overview of the project, was presented at the 2023 AISL Awardee Meeting.
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TEAM MEMBERS: Aaron Wilson Mayra Ortiz Xiaohui Wang Sergey Grigorian
resource research Informal/Formal Connections
This "mini-poster," a two-page slideshow presenting an overview of the project, was presented at the 2023 AISL Awardee Meeting.
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TEAM MEMBERS: Dr. Darius Frelix Cynthia H. Sanchez Tapia Ha Nguyen
resource project Informal/Formal Connections
Mentoring is a widely accepted strategy for helping youth see how their interests and abilities fit with education and career pathways; however, more research is needed to better understand how different approaches to mentoring impact youth participants. Near-peer mentoring can be a particularly impactful approach, particularly when youth can identify with their mentors. This project investigates three approaches to near-peer mentoring of high-school-aged Hispanic youth by Hispanic undergraduate mathematics majors. Mentoring approaches include undergraduates' visits to high school classrooms, mathematics social media, and a summer math research camp. These three components of the intervention are aimed at facilitating enjoyment of advanced mathematics through dynamic, experiential learning and helping high school aged youth to align themselves with other doers of mathematics on the academic stage just beyond them, i.e., college.

Using a Design-Based Research approach that involves mixed methods, the research investigates how the three different near-peer mentoring approaches impact youth participants' attitudes and interests related to studying mathematics and pursuing a career in mathematics, the youth's sense of whether they themselves are doers of mathematics, and the youth's academic progress in mathematics. The project design and research study focus on the development of mathematical identity, where a mathematics identity encompasses a person's self-understanding of himself or herself in the context of doing mathematics, and is grounded in Anderson (2007)'s four faces of identity: Engage, Imagine, Achieve, and Nature. The study findings have the potential to uncover associations between informal interactions involving the near-peer groups of high school aged youth and undergraduates seen to impact attitudes, achievement, course selection choices, and identities relative to mathematics. It also responds to an important gap in current understandings regarding effective communication of mathematics through social media outlets, and results will describe the value of in-person mathematical interactions as well as online interactions through social media. The study will result in a model for using informal near-peer mentoring and social media applications for attracting young people to study and pursue careers in STEM. This project will also result in a body of scripted MathShow presentations and materials and Math Social Media content that will be publicly available to audiences internationally via YouTube and Instagram.

This Research in Service to Practice project is funded by the Advancing Informal STEM Learning (AISL) program, which seeks to advance new approaches to, and evidence-based understanding of, the design and development of STEM learning in informal environments. This includes providing multiple pathways for broadening access to and engagement in STEM learning experiences, advancing innovative research on and assessment of STEM learning in informal environments, and developing understandings of deeper learning by participants.

This 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.
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TEAM MEMBERS: Aaron Wilson Sergey Grigorian Xiaohui Wang Mayra Ortiz
resource project Media and Technology
This Research Advanced by Interdisciplinary Science and Engineering (RAISE) project is supported by the Division of Research on Learning in the Education and Human Resources Directorate and by the Division of Computing and Communication Foundations in the Computer and Information Science and Engineering Directorate. This interdisciplinary project integrates historical insights from geometric design principles used to craft classical stringed instruments during the Renaissance era with modern insights drawn from computer science principles. The project applies abstract mathematical concepts toward the making and designing of furniture, buildings, paintings, and instruments through a specific example: the making and designing of classical stringed instruments. The research can help instrument makers employ customized software to facilitate a comparison of historical designs that draws on both geometrical proofs and evidence from art history. The project's impacts include the potential to shift in fundamental ways not only how makers think about design and the process of making but also how computer scientists use foundational concepts from programming languages to inform the representation of physical objects. Furthermore, this project develops an alternate teaching method to help students understand mathematics in creative ways and offers specific guidance to current luthiers in areas such as designing the physical structure of a stringed instrument to improve acoustical effect.

The project develops a domain-specific functional programming language based on straight-edge and compass constructions and applies it in three complementary directions. The first direction develops software tools (compilers) to inform the construction of classical stringed instruments based on geometric design principles applied during the Renaissance era. The second direction develops an analytical and computational understanding of the art history of these instruments and explores extensions to other maker domains. The third direction uses this domain-specific language to design an educational software tool. The tool uses a calculative and constructive method to teach Euclidean geometry at the pre-college level and complements the traditional algebraic, proof-based teaching method. The representation of instrument forms by high-level programming abstractions also facilitates their manufacture, with particular focus on the arching of the front and back carved plates --- of considerable acoustic significance --- through the use of computer numerically controlled (CNC) methods. The project's novelties include the domain-specific language itself, which is a programmable form of synthetic geometry, largely without numbers; its application within the contemporary process of violin making and in other maker domains; its use as a foundation for a computational art history, providing analytical insights into the evolution of classical stringed instrument design and its related material culture; and as a constructional, computational approach to teaching geometry.

This project is funded by the National Science Foundation's (NSF's) Advancing Informal STEM Learning (AISL) program, which supports innovative research, approaches, and resources for use in a variety of learning settings.
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TEAM MEMBERS: Harry Mairson
resource project Informal/Formal Connections
As part of its overall strategy to enhance learning in informal environments, the Advancing Informal STEM Learning (AISL) program seeks to advance new approaches to, and evidence-based understanding of, the design and development of STEM learning in informal environments. This includes providing multiple pathways for broadening access to and engagement in STEM learning experiences, advancing innovative research on and assessment of STEM learning in informal environments, and developing understandings of deeper learning by participants. The three-year project, Montana Models: Connecting Local and Disciplinary Practices through University-Community Partnerships, focuses on creating, implementing, and studying several learning outcomes associated with youth engagement in mathematical modeling contexts. The project builds on existing partnerships between the state's two research universities and Montana 4-H to target outreach to rural youth and bring them into a network of people who can inspire, support, and sustain STEM learning. Middle school and high school students from rural communities will be invited to a university campus for a residential modeling-based summer program l focused on mathematics and mathematical modeling. Activities at the summer program are designed to engage them in problems relevant to their own backgrounds and experiences and to honor their local funds of knowledge. The primary goal of Montana Models is to use mathematical modeling as a mechanism for bringing everyday mathematical practices already present in rural communities into contact with disciplinary practices. The project focuses on the following research questions: (1) What are the everyday mathematical practices in Montana communities? (2) How can everyday mathematical practices be leveraged and brought into contact with disciplinary practices in service of mathematizing meaningful questions within the community? (3) How do youth identify and get identified with respect to mathematics and with respect to their role in the world? (4) How does participation in project activities affect participants' knowledge of mathematical practices and content? The project uses social design experimentation, a hybrid research methodology which combines the traditions of design-based research with forms of inquiry that involve collaboration among participants, researchers, and other stakeholders, such as critical ethnography. Data sources include field notes from ethnographic observations, interviews, videos of students engaging in modeling activities, artifacts that show their mathematical work, and results from the Attitudes Towards Mathematics Inventory. Through its collaboration with 4-H, Montana Models targets outreach to rural youth across the state, especially those from groups that are typically underrepresented in STEM fields. The project is poised to impact ways in which formal and informal educators understand the knowledge bases that are already present in rural communities and how those bases may inform, support, and sustain STEM learning. Findings and deliverables will be disseminated through a public-facing website and through the 4-H infrastructure. This infrastructure includes Montana 4-H's Clover Communication Contest that will allow participating youth to showcase their projects. Research findings will be shared through local and national conferences and peer-reviewed publications. This 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.
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TEAM MEMBERS: Mary Carlson Elizabeth Burroughs Frederick Peck Katharine Banner david thomas
resource project Public Programs
This award was provided as part of NSF's Social, Behavioral and Economic Sciences Postdoctoral Research Fellowships (SPRF) program and is supported by SBE's Developmental Sciences program and the Directorate for Education and Human Resources' (EHR) Advancing Informal STEM Learning program. The goal of the SPRF program is to prepare promising, early career doctoral-level scientists for scientific careers in academia, industry or private sector, and government. SPRF awards involve two years of training under the sponsorship of established scientists and encourage Postdoctoral Fellows to perform independent research. NSF seeks to promote the participation of scientists from all segments of the scientific community, including those from underrepresented groups, in its research programs and activities; the postdoctoral period is considered to be an important level of professional development in attaining this goal. Each Postdoctoral Fellow must address important scientific questions that advance their respective disciplinary fields. Under the sponsorship of Dr. Sandra D. Simpkins at the University of California, Irvine, this postdoctoral fellowship award supports an early career scientist exploring high-quality and culturally responsive, math afterschool program (ASP) practices for under-represented minority (URM) youth. Mathematical proficiency is the foundation of youth's STEM pursuits. Yet today, far too many youth do not pursue STEM based on a perception that they are "not good at math". Students need to engage in contexts that spark their interest and their continued mastery and growth. ASPs are settings for such dynamic opportunities, particularly for URM students such as Latinos who attend lower quality schools and do not feel supported. In college, URM students often struggle with uninspiring and culturally incongruent STEM learning environments. The intergenerational nature of university-based STEM ASPs, whereby younger students are paired with undergraduate (UG) mentors, are opportunities to support both K-12 and UG students' motivational beliefs in math and STEM more broadly. This project will examine these intergenerational developmental processes in the context of a math enrichment ASP located at a Hispanic-Serving Institution. By studying how ASPs can serve as an important lever for promoting URM students' access and success in STEM, this project seeks to meaningfully inform efforts to broaden the participation of underrepresented groups in these fields.

This project seeks to understand how participating in a math enrichment ASP supports both youth participants' and UG mentors' motivational beliefs in math; to describe high-quality and culturally responsive practices; and to understand how to support the effectiveness of youth-staff relationships. To accomplish these research objectives, data will be collected from both youth participants and UG mentors through multiple methods including surveys, in-depth interviews, participant-observations, and video observations of youth-staff interactions. This project will add to our understanding of university-ASP partnerships. Further, the knowledge gained from this study will impact the larger landscape of practice and research on STEM ASPs by 1) addressing critical gaps in the current literature on high-quality and culturally responsive STEM ASP practices and 2) informing ASP staff development training. Overall, this mixed methods project will provide critical and rich information on the ways that ASPs can effectively deliver on its promise of promoting positive development for all youth, especially URM youth who may need and benefit from these spaces the most. The invaluable insight garnered from this study will be disseminated to traditional academic audiences to advance knowledge, as well as to local, state, and national organizations to inform the larger landscape of practice in STEM ASPs.

This 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.
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TEAM MEMBERS: Mark Vincent Yu Sandra Simpkins
resource project Media and Technology
Mathematics is the foundation of many STEM fields and success in mathematics is a catalyst for success in other scientific disciplines. Increasing the participation of women and other under-represented groups in the mathematics profession builds human capital that produces a diverse pool of problem solvers in business and industry, research mathematicians, faculty at all levels, and role models for the next generation. Existing support and enrichment programs have targeted women in mathematics at different stages in their undergraduate and graduate education, with different strategies to building community, creating a sense of belonging, and promoting a growth mind set. These strategies challenge some of the most common obstacles to success, including isolation, stereotype threat, not committing to mathematics early enough, and imposter syndrome. Acknowledging the diversity among women in terms of socio-economic background and educational background, this project proposes to examine the effectiveness of these programs through the lens of two primary questions: (1) Which elements of these programs are most critical in the success of women, as a function of their position along these distinct diversity axes?, and (2) which features of these programs are most effective as a function of the stage of the participant's career? These questions are guided by the rationale that a better understanding of, and improved pathways by, which programs recruit and retain undergraduate and graduate women in mathematics has the strong potential to increase the representation of women among mathematics PhDs nationwide.

This project seeks to increase and diversify the number of professional mathematicians in the United States by identifying and proliferating best practices and known mechanisms for increasing the success of women in mathematics graduate programs, particularly women from under-represented groups. The PIs on this proposal, all of whom are leaders of initiatives that have been active for nearly two decades, will work with experts in management, data collection and reporting, and communications to address the following three challenges: (1) develop a common system of measuring the effectiveness of each element in these initiatives; (2) develop a process for effective, collective decision making; and (3) create connections between existing activities and resources. This project is both exploratory research and effectiveness research. The project team first will explore the contextual factors that serve to support or inhibit female pursuit of mathematics doctorates by interviewing a variety of women who were undergraduate mathematics majors in the past, as well as current professional mathematicians. They then will use this information to better understand the most effective features of various current and past initiatives that are trying to increase the participation of women in advanced mathematics. A key stakeholder meeting will develop a process for effective, collective decision-making, to utilize what the project team learns from the interviews. The leadership team will develop a website with discussion board and social media components to highlight best practices and facilitate a virtual community for women interested in mathematics. Finally, a distillation of program elements and their targeted effectiveness will inform the selection of interconnected activities to test on a scalable model. These prototypes will be implemented at several sites chosen to represent a diversity of constituencies and local support infrastructure.
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TEAM MEMBERS: Judy Walker Ami Radunskaya Ruth Haas Deanna Haunsperger
resource project Informal/Formal Connections
Demand for skilled workers in STEM industries is continuing to grow rapidly across the United States. At the same time, postsecondary completion rates in fields such as computer science and engineering lag far behind demand. Academically, calculus is the critical barrier to entry to high-growth, high-wage STEM careers for the 59% of community college students who enter at remedial math levels, greatly diminishing the candidate pool for careers in STEM disciplines. In California, for example, only 4% of community college students advance to calculus in 4 years and therefore never have a chance to begin to train for the STEM careers that dominate the state's economic landscape. This barrier diminishes the candidate pool for STEM careers falling disproportionately on two groups: (1) minority students who are overrepresented in remedial programs; and (2) female students who are underrepresented in higher-level math courses. To broaden participation and expand the pipeline of available STEM talent, the STEM Core Initiative (SCI) implements a model that includes an accelerated and contextualized math course sequence with intensive supportive services designed to serve underrepresented students. The cohort-based program moves students from intermediate algebra to calculus-readiness in two semesters (as opposed to two or more years). A prototype of the SCI model has been implemented at four colleges over the last three years and has resulted in a 20-30 percent increase in math course success rates for participants compared to students enrolled in a traditional math course track. The partnership replicates and scales SCI successes through an enhanced STEM Core pathway model to be implemented at 13 California community colleges and one large and diverse Maryland community college campus, directly serving more than 625 students. Further, as a workforce development program, SCI offers paid internships with leading national and regional employers in computer science and engineering and exposes students to high-growth, high-wage STEM career opportunities.

The one-year calculus-readiness and internship pathway for remedial students is a new approach in eleven of the partner colleges and utilizes a collective impact approach to align industry and workforce development partners. The partnership offers wrap around student support, accelerated and contextualized learning, and expanded high-quality work-based learning experiences including internships. Well-positioned employer partners (such as NASA and the federal energy labs) contribute to the development of a national strategy by assisting community colleges with course contextualization, providing career orientation, and hosting project-based internships. To advance research, SCI employs a comprehensive multiple methods plan to assess the effectiveness of the STEM Core intervention and identify and understand the effective practices that underpin successful implementation of the STEM Core at 14 community colleges in California and Maryland. The evaluation seeks to measure and understand the impacts of STEM Core on student learning, academic and industry engagement, academic momentum, math confidence, and commitment to STEM as well as an understanding of implementation and replication strategies that yield the greatest impact. National dissemination of the results showcase the successes of STEM Core and build capacity to replicate the model.
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TEAM MEMBERS: Jim Zoval Frank Gonzalez Mark Eagan Courtney Brown Michael Venn Jim Zoval
resource project Public Programs
Utah Valley University (UVU) with partners Weber State University (WSU) and American Indian Services (AIS) are implementing UTAH PREP (PREParation for STEM Careers) to address the need for early preparation in mathematics to strengthen and invigorate the secondary-to-postsecondary-to-career STEM pipeline. As the preliminary groundwork for UTAH PREP, each partner currently hosts a PREP program (UVU PREP, WSU PREP, and AIS PREP) that identifies low-income, under-represented minority, first-generation, and female students entering seventh grade who have interest and aptitude in math and science, and involves them in a seven-week, three-year summer intensive program integrating STEM courses and activities. The course content blends skill-building academics with engaging experiences that promote a clear understanding of how mathematical concepts and procedures are applied in various fields of science and engineering. Courses are enhanced through special projects, field trips, college campus visits, and the annual Sci-Tech EXPO. The purpose of the program is to motivate and prepare participants from diverse backgrounds to complete a rigorous program of mathematics in high school so that they can successfully pursue STEM studies and careers, which are vital to advancing the regional and national welfare.

UTAH PREP is based on the TexPREP program that originated at the University of Texas at San Antonio and which was named as one of the Bright Spots in Hispanic Education by the White House Initiative on Educational Excellence for Hispanics in 2015. TexPREP was adapted by UVU for use in Utah for non-minority serving institutions and in regions with lower minority populations, but with great academic and college participation disparity. With NSF funding for a two-year pilot program, the project partners are building UTAH PREP through a networked improvement community, collective impact approach that, if demonstrably successful, has the ability to scale to a national level. This pilot program's objectives include: 1) creating a UTAH PREP collaboration with commitments to a common set of objectives and common set of plans to achieve them; 2) strengthening existing PREP programs and initiating UTAH PREP at two or three other institutions of higher education in Utah, each building a sustainable local support network; 3) developing a shared measurement system to assess the impact of UTAH PREP programs, adaptations, and mutually reinforcing activities on students, including those from groups that are underrepresented in STEM disciplines; and 4) initiating a backbone organization that will support future scaling of the program's impact.
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TEAM MEMBERS: Daniel Horns Andrew Stone Violeta Vasilevska
resource project Professional Development, Conferences, and Networks
Physics awards smaller percentages of PhDs to women (19%) and underrepresented ethnic and racial minorities (7%) than any other field in the sciences, and underrepresentation is especially pronounced at selective universities. As global competition for scientific talent heats up and US demographics shift, cultivating a robust domestic workforce is critical to US technological leadership. We seek to build on the successful American Physical Society Bridge Program (apsbridgeprogram.org) by transforming physics graduate education to fully support the inclusion of women and ethnic and racial minorities. Our vision is to create a national network of disciplinary colleagues, expert researchers, and representatives from professional associations who will develop and build evidence-based knowledge of effective practices for recruitment, admissions, and retention of women and underrepresented ethnic and racial minorities. This pilot project will include six large, highly selective physics graduate programs to demonstrate and map out a plan for a discipline-wide effort. The pilot focuses on improving admissions practices, because this strategy promises immediate and measurable impact backed by extant research. The pilot will also take exploratory steps to develop scalable recruitment and retention strategies. To refine interventions, we will conduct research to identify and understand demographically-based loss points of students in graduate physics programs and to understand how network participation facilitates change. The project will also establish connections with other STEM disciplines, beginning with mathematics and chemistry, to explore expanding these efforts.

This project is grounded in research on diversity in graduate education, organizational learning, and the resources of networks to catalyze cultural change. The project team includes expertise in institutional change, graduate admissions, student success, diverse and inclusive environments, and social science research. The pilot advances a novel research agenda on inclusion in STEM by addressing recruitment, admissions, and retention in physics graduate education as interconnected challenges of faculty learning, professional networks, and disciplinary cultural change. Physics graduate programs will report admissions data and common metrics, and will document changes resulting from project activities. Faculty will be trained on holistic admissions and diversity in selection processes, and be guided in the use of inclusive admissions practices. An external evaluator will examine project effectiveness and readiness for scaling to an Alliance phase project.
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TEAM MEMBERS: Monica Plisch Theodore Hodapp Julie Posselt Geraldine Cochran Casey Miller
resource research Media and Technology
Formal readings and lectures are effective at delivering explanations, but the information they impart can be so densely packed and de-contextualized that students may not make full sense of the content. Arena and Schwartz found that video games have the potential to unlock the expository content delivered by lectures, textbooks, and diagrams.
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TEAM MEMBERS: Nicole Bulalacao