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resource research Informal/Formal Connections
Many studies have examined the impression that the general public has of science and how this can prevent girls from choosing science fields. Using an online questionnaire, we investigated whether the public perception of several academic fields was gender-biased in Japan. First, we found the gender-bias gap in public perceptions was largest in nursing and mechanical engineering. Second, people who have a low level of egalitarian attitudes toward gender roles perceived that nursing was suitable for women. Third, people who have a low level of egalitarian attitudes perceived that many STEM
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TEAM MEMBERS: Yuko Ikkatai Azusa Minamizaki Kei Kano Atsushi Inoue Euan McKay Hiromi M. Yokoyama
resource research Media and Technology
One part personal reflection, one part literature synthesis. This essay reflects on official statistics, common misunderstandings, and the COVID-19 numbers we're all becoming increasingly familiar with. The author calls on news audiences and journalists alike to become more knowledgeable about what official statistics can and can't do -- and to question the epistemic priority that so many people reflexively give to numbers by paying attention to what is not included.
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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 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 Innovations in Development 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 Pilot and Feasibility study will investigate strategies for enhancing the mathematics in museum-based making and tinkering activities and lay the foundation for a full research study on broadening family participation in mathematics through making. This proposal builds directly on the NSF-funded Math in the Making convening. During this convening, questions about how to authentically highlight and enhance the mathematics in making and tinkering experiences, and how different math-enhancement approaches might influence learner experiences and outcomes, emerged as critical issues for researchers, educators, and mathematicians alike. The project aims to provide a practical lens to help researchers and educators connect topics across STEM with making and tinkering experiences. The project also seeks to advance theoretical understandings of museum-based learning by exploring ways that activity design and facilitation strategies influence how visitors understand the nature and goals of the experience and, in turn, how these visitor experiences shape learning outcomes. The project is designed to explore the most promising of these math-enhancement strategies in more depth, to propose as a next project and develop a theoretical framework for understanding and describing how these strategies influence how families understand and engage with the mathematics in maker experiences. Through several culturally-responsive approaches developed in collaboration with community-based organizations, the project will research how mathematics in maker experiences influences participant engagement and learning. The project will culminate in the design of a research study. Reports and resources developed by the project will be broadly disseminated to researchers, mathematicians, and educators. 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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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 Public Programs
As part of its overall strategy to enhance learning in informal environments, the Advancing Informal STEM Learning (AISL) program funds innovative resources for use in a variety of settings. This proposed effort embraces broad participation by the three Ute tribes, History Colorado, and scientists in the field of archaeology to investigate and integrate traditional ecological knowledge and contemporary Western science. The project will preserve knowledge from the Ute peoples of Colorado and Utah, including traditional technology, ethnobotany, engineering and math. Results from this project will inform educational efforts in similar communities.

This project will build on the long-standing collaborations between History Colorado (HC), the Southern Ute Indian Tribe, Ute Mountain Ute Tribe and Ute Indian Tribe, Uintah & Ouray Reservation, and the Dominguez Archaeological Research Group DARG). HC will implement and evaluate a regional informal learning collaboration focused on Ute traditional and contemporary STEM knowledge serving over 128,000 learners through tribal programs, local history museums and educational networks. This project will advance the understanding of integrated knowledge and the role of Ute people as STEM learners and practitioners. This Informal Science Learning project will increase lifelong STEM learning in rural communities and create a replicable model for collaboration among tribes, history museums, and scientists.
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TEAM MEMBERS: Liz Cook Sheila Goff Shannon Voirol JJ Rutherford