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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
Informal STEM learning experiences (ISLEs), such as participating in science, computing, and engineering clubs and camps, have been associated with the development of youth’s science, technology, engineering, and mathematics interests and career aspirations. However, research on ISLEs predominantly focuses on institutional settings such as museums and science centers, which are often discursively inaccessible to youth who identify with minoritized demographic groups. Using latent class analysis, we identify five general profiles (i.e., classes) of childhood participation in ISLEs from data
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TEAM MEMBERS: Remy Dou Heidi Cian Zahra Hazari Philip Sadler Gerhard Sonnert
resource project Public Programs
In partnership with the Pasadena and Los Angeles Unified School Districts, the Armory Center for the Arts will develop and implement comprehensive visual art-math and visual art-science curricula for grades two through five at Title I elementary schools. The curricula will be developed in conjunction with Armory teaching artists and educators, and will align with the Common Core Standards for math and science, and with the National Core Visual Arts Standards. The museum will deliver the program in 48 classrooms over a three-year period. Professional development, paired with in-class program modeling, will enable participating teachers to implement arts integration strategies into their teaching practice, with an overall goal of creating a sustainable and long-term impact on student learning. An external evaluator will oversee program assessment in the schools. The museum will post sample lessons from each curriculum online to demonstrate the style and scope of the program for possible use by additional school districts.
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TEAM MEMBERS: Julienne Fusello
resource research Public Programs
We characterize the factors that determine who becomes an inventor in the United States, focusing on the role of inventive ability (“nature”) vs. environment (“nurture”). Using deidentified data on 1.2 million inventors from patent records linked to tax records, we first show that children’s chances of becoming inventors vary sharply with characteristics at birth, such as their race, gender, and parents’ socioeconomic class. For example, children from high-income (top 1%) families are ten times as likely to become inventors as those from below-median income families. These gaps persist even
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TEAM MEMBERS: Alex Bell Raj Chetty Xavier Jaravel Neviana Petkova John Van Reenen
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 research Public Programs
This dissertation study investigates late-elementary and early-middle school field trips to a mathematics exhibition called Math Moves!. Developed by and currently installed at four science museums across the United States, Math Moves! is a suite of interactive technologies designed to engage visitors in open-ended explorations of ratio and proportion. Math Moves! exhibits emphasize embodied interaction and movement, through kinesthetic, multi-sensory, multi-party, and whole-body immersive experiences. Many science museums and other informal-learning institutions offer exhibits and public
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TEAM MEMBERS: Molly Louise Kelton
resource project Public Programs
The goal of the project is to advance understanding of basic questions about learning and teaching through the development of a theory of embodied mathematical cognition that can apply to a broad range of people, settings and activities. The investigative team brings together expertise from a range of quantitative and qualitative research methodologies. A theory of embodied mathematical cognition empirically rooted in classroom learning and workplace practices will broaden the range of activities and emerging technologies that count as mathematical, and help educators to envision alternative forms of bodily engagement with mathematical problems.
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TEAM MEMBERS: Ricardo Nemirovsky Rogers Hall Martha Alibali Mitchell Nathan Kevin Leander
resource research Public Programs
Children’s storybooks are a ubiquitous learning resource, and one with huge potential to support STEM learning. They also continue to be a primary way that children learn about the world and engage in conversations with family members, even as the use of other media and technology increases. Especially before children learn to read, storybooks create the context for in-depth learning conversations with parents and other adults, which are the central drivers of STEM learning and development more broadly at this age. Although there is a body of literature highlighting the benefits of storybooks
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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 research Public Programs
Since 1992, the WSU Math Corps, a combined mathematics and mentoring program, has worked to make a difference in the lives of Detroit’s children—providing them with the love and support that all kids need in the moment, while empowering them with the kinds of educational opportunities and sense of purpose, that hold the promise of good lives for themselves and a better world for all.
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TEAM MEMBERS: Steve Kahn Stephen Chrisomalis Todd Kubica Carol Philips-Bey Francisca Richter
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