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resource research Public Programs
This is a story about learning STEM content and practices while making objects. It is also a story about how that learning is contextualized in one young man’s disruption of racism simply by trying to learn how gears work. Our project, Investigating STEM Literacies in MakerSpaces (STEMLiMS), focuses on how adults and youth use representations to accomplish tasks in STEM disciplines in formal and informal making spaces (Tucker-Raymond, Gravel, Kohberger, & Browne, 2017). Making is an interdisciplinary endeavor that may involve mechanical and electrical engineering, digital literacies and
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resource evaluation Media and Technology
Peg + Cat is a popular broadcast television series, developed by The Fred Rogers Company and airing on PBS, in which a girl named Peg and her sidekick, Cat, solve everyday problems using mathematics, creativity, persistence, and humor. Peg + Cat: Developing Preschoolers’ Early Math Skills was a three-year project, funded by the National Science Foundation, that aimed to impact children’s interest and engagement with mathematics, as well as their development of positive social-emotional skills. The project supported early math learning via the creation of additional Peg + Cat episodes, online
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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
Research shows that algebra is a major barrier to student success, enthusiasm and participation in STEM for under-represented students, particularly African-American students in under-resourced high schools. Programs that develop ways to help students master algebra concepts and a belief that they can perform algebra may lead to more students entering engineering careers. This project will provide an online engineering program to support 9th and 10th grade Baltimore City Public Schools students, a predominantly low-income African-American cohort, to develop concrete goals of becoming engineers. The goals of the program are to help students with a growing interest in engineering to maintain that interest throughout high school. The project will also support students aspire to an engineering career. The project will develop in students an appreciation of requisite courses and skills, and increase self-efficacy in mathematics. The project will also develop a replicable model of informal education capable of reinforcing the mathematical foundations that students learn during the school day. Additionally, the project will broaden participation in engineering by being available to students during out-of-school time and by having relaxed entrance criteria compared to existing opportunities in supplemental engineering curricula. The project is a collaboration between the Baltimore City Public Schools, Johns Hopkins University Applied Physics Laboratory, Northrop Grumman Corporation, and Expanded School-Based Mental Health programs to support students both during and after participation. The project will benefit society by providing skills that will allow high school students to become members of tomorrow's highly trained STEM workforce.

The research will test whether an informal, scaffolded online algebra-for-engineering program increases students' mastery and self-efficacy in mathematics. The research will advance knowledge regarding informal education by applying Social Cognitive Career Theory as a framework for measuring program impact. The theoretical framework will aid in identifying mechanisms through which students with interest in engineering might persist in maintaining this interest through high school via algebra skill mastery and increased self-efficacy. The project will recruit 200 youth from the Baltimore City Public Schools to participate in the project over three years. Qualitative data will be collected to assess how student and school socioeconomic factors impact implementation, student engagement, and outcomes. The research will answer the following questions: 1) What effect does program participation have on math mastery? 2) What direct and indirect effects do program completion and supports have on students' mathematics self-efficacy? 3) What direct and indirect effects do program components have on engineering career goals by the end of the program? 4) What direct and indirect effects does math self-efficacy have on career goals? 5) To what extent are the effects of program participation on engineering career goals mediated by math self-efficacy and engineering interest? 6) How do school factors relate to the implementation of the program? 7) What socioeconomic-related factors relate to the regularity and continuation of student participation in the program? The quantitative methods of data analysis will employ descriptive and multivariate statistical methods. Qualitative data from interviews will be analyzed using an emergent approach and a coding scheme guided by theoretical constructs. Project results will be communicated to scholars and practitioners. The team will also share information through school newsletters and parent communication through Baltimore City Public Schools.

This project is funded by the Innovative Technology Experiences for Students and Teachers (ITEST) program, which supports projects that build understandings of practices, program elements, contexts and processes contributing to increasing students' knowledge and interest in science, technology, engineering, and mathematics (STEM) and information and communication technology (ICT) careers.

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: Michael Falk Christine Newman Rachel Durham
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 Exhibitions
Mathematics plays a significant role in understanding and participating in science, technology, and engineering (STEM). Research shows that early mathematics experiences in everyday life are critical to the development of children's mathematical knowledge. This project will explore an innovative approach to fostering parent-child math interactions and conversations related to mathematical ideas. The approach will use community-based, exhibit installations called Mathscapes. These are artistic, culturally relevant, easily accessible, physical installations designed to encourage adults and children (ages 3 to 7) to use their immediate environment to playfully explore key early math concepts. The project also addresses a need for research about the cultural experiences and resources that marginalized children and families bring to mathematical conversations. Understanding parent-child interactions about mathematics community settings could result in new knowledge about early math learning among low income children and parents. 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.

This exploratory study will design and investigate an innovative approach to encouraging math talk and math-related interactions between parents and children (ages 3-7) through the creation of MathScapes. These are temporary physical installations designed to use the immediate environment to playfully explore mathematical concepts. This study will be conducted in two Boston neighborhoods that are populated by low-income, non-dominant minority and immigrant families. Adopting a case study approach, the project will use observational methods, discourse analysis of parent/child talk, and interviews to study the interactions of 200 families at two neighborhood Mathscape installations. LENA devices will be used to capture parent/child talk at the Mathscapes while researchers use observational methods to document participant interactions, talk, and gestures. Data sources will include audio recordings of family talk, field notes of family interactions at Mathscape installations, surveys, and interviews. A qualitative approach will be used to produce research findings at multiple levels. The focus of the analysis will be to understand if this approach enhances the quality and quantity of math talk between parents and children. The project will be carried out by a research-practice-community partnership in Boston, Massachusetts that includes community mathematics educators, education researchers, and participating children and families. The design of community installations could promote engagement with math through adult/child conversations in culturally-relevant contexts situated in the local environment. By addressing the cultural experiences and resources of young people, the project could greatly enhance our understanding of how to leverage the resources that children and families bring to engaging with mathematics.

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: Omowale Moses Danny Martin Catherine O'Connor Nermeen Darshoush
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 research Informal/Formal Connections
Data are the workhorses of the scientific endeavor and their use is rapidly evolving (Haendel, Vasilevsky, and Wirz 2012). Ask almost any scientist about their work, and the conversation will involve the data they collect and analyze. The use of data in science is often captured in science classrooms as an ill-defined link between math and science that may not reflect authentic data practices (Tanis Ozcelik and McDonald 2013). Students often find themselves collecting data to confirm obvious conclusions within highly structured labs, and data become a way for students to demonstrate the
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TEAM MEMBERS: Michael Giamellaro Kari O'Connell