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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 project Public Programs
Many Black youth in both urban and rural areas lack engaging opportunities to learn mathematics in a manner that leads to full participation in STEM. The Young People’s Project (YPP), the Baltimore Algebra Project (BAP), and the Education for Liberation Network (EdLib) each have over two decades of experience working on this issue. In the city of Baltimore, where 90% of youth in poverty are Black, and only 5% of these students meet or exceed expectations in math, BAP, a youth led organization, develops and employs high school and college age youth to provide after-school tutoring in Algebra 1, and to advocate for a more just education for themselves and their peers. YPP works in urban or rural low income communities that span the country developing Math Literacy Worker programs that employ young people ages 14-22 to create spaces to help their younger peers learn math. Building on these deep and rich experiences, this Innovations in Development project studies how Black students see themselves as mathematicians in the context of paid peer-to-peer math teaching--a combined social, pedagogical, and economic strategy. Focusing primarily in Baltimore, the project studies how young people grow into new self-definitions through their work in informal, student-determined math learning spaces, structured collaboratively with adults who are experts in both mathematics and youth development. The project seeks to demonstrate the benefits of investing in young people as learners, teachers, and educational collaborators as part of a core strategy to improve math learning outcomes for all students.

The project uses a mixed methods approach to describe how mathematical identity develops over time in young people employed in a Youth-Directed Mathematics Collaboratory. 60 high school aged students with varying mathematical backgrounds (first in Baltimore and later in Boston) will learn how to develop peer- and near-peer led math activities with local young people in informal settings, after-school programs, camps, and community centers, reaching approximately 600 youth/children. The high school aged youth employed in this project will develop their own math skills and their own pedagogical skills through the already existing YPP and BAP structures, made up largely of peers and near-peers just like themselves. They will also participate in on-going conversations within the Collaboratory and with the community about the cultural significance of doing mathematics, which for YPP and BAP is a part of the ongoing Civil Rights/Human Rights movement. Mathematical identity will be studied along four dimensions: (a) students’ sequencing and interpretation of past mathematical experiences (autobiographical identity); (b) other people’s talk to them and their talk about themselves as learners, doers, and teachers of mathematics (discoursal identity); (c) the development of their own voices in descriptions and uses of mathematical knowledge and ideas (authorial identity); and (d) their acceptance or rejection of available selfhoods (socio-culturally available identity). Intended outcomes from the project include a clear description of how mathematical identity develops in paid peer-teaching contexts, and growing recognition from both local communities and policy-makers that young people have a key role to play, not only as learners, but also as teachers and as co-researchers of mathematics education.

This Innovations in Development project is funded by the Advancing Informal STEM Learning (AISL) program.
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TEAM MEMBERS: Jay Gillen Maisha Moses Thomas Nikundiwe Naama Lewis Alice Cook
resource project Media and Technology
This award is funded in whole or in part under the American Rescue Plan Act of 2021 (Public Law 117-2).

Math is everywhere in the world, but youth may see math as disconnected from their everyday experiences and wonder how math is relevant to their lives. There is evidence that informal math done by children is highly effective, involving efficiency, flexibility, and socializing. Yet, more is needed to understand how educators can support math engagement outside of school, and the role these out-of-school experiences can play relative to the classroom and lifelong STEM learning. This Innovations and Development Project seeks to conduct research on a location-based mobile app for informal mathematics learning. This research takes place at 9 informal learning sites and involves iteratively designing an app in which learners can view and contribute to an interactive map of math walk “stops” at these sites. Learners will be able to select locations and watch short videos or view pictures with text that describe how mathematical principles are present in their surroundings. For example, learners could use the app to discover how a painting by a local Latino artist uses ratio and scale, or how a ramp in downtown was designed with a specific slope to accommodate wheelchairs. Research studies will examine the affordances of augmented reality (AR) overlays where learners can hold up the camera of their mobile device, and see mathematical representations (e.g., lines, squares) layered over real-world objects in their camera feed. Research studies will also examine the impact of having learners create their own math walk stops at local informal learning sites, uploading pictures, descriptions, and linking audio they narrate, where they make observations about how math appears in their surroundings and pose interesting questions about STEM ideas and connections they wonder about.

This project draws on research on informal math learning, problem-posing, and culturally-sustaining pedagogies to conduct cycles of participatory design-based research on technology-supported math walks. The research questions are: How does posing mathematical scenarios in community-imbedded math walks impact learners’ attitudes about mathematics? How can experiencing AR overlays on real world objects highlight mathematical principles and allow learners to see math in the world around them? How can learners and informal educators be engaged as disseminators of content they create and as reviewers of mathematical content created by others? To answer these questions, five studies will be conducted where learners create math walk stops: without technology (Study 1), with a prototype version of the app (Study 2), and with or without AR overlays (Study 3). Studies will also compare children's experiences receiving math walk stops vs. creating their own stops (Study 4) and explore learners reviewing math walk stops made by their peers (Study 5). Using a community ethnography approach with qualitative and quantitative process data of how youth engage with the app and with each other, the project will determine how the development of math interest can be facilitated, how learner-driven problem generation can be scaffolded, and under what circumstances app-based math walks are most effective. The results will contribute to research on the development of interest, problem-posing, informal mathematics learning, and digital supports for STEM learning such as AR. This project will promote innovation and have strategic impact through a digital infrastructure that could be scaled up to support STEM walks anywhere in the world, while also building a local STEM learning ecosystem among informal learning sites focused on informal mathematics. This project is a partnership between Southern Methodist University, a nonprofit, talkSTEM that facilitates the creation of community math walks, and 9 informal learning providers. The project will directly serve approximately 500 grades 4-8 learners and 30-60 informal educators. The project will build capacity at 9 informal learning sites, which serve hundreds of thousands of students per year in their programming.

This Innovations in Development project is supported by the Advancing Informal STEM Learning (AISL) program, which seeks to (a) advance new approaches to and evidence-based understanding of the design and development of STEM learning in informal environments; (b) provide multiple pathways for broadening access to and engagement in STEM learning experiences; (c) advance innovative research on and assessment of STEM learning in informal environments; and (d) engage the public of all ages in learning STEM in informal environments.
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TEAM MEMBERS: Candace Walkington Anthony Petrosino Cathy Ringstaff koshi dhingra Elizabeth Stringer
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 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 funds innovative research, approaches and resources for use in a variety of settings. This Research in Service to Practice project will address the issues around Informal Education of rural middle school students who have high potential regarding academic success in efforts to promote computer and IT knowledge, advanced quantitative knowledge, and STEM skills. Ten school districts in rural Iowa will be chosen for this study. It is anticipated that new knowledge on rural informal education will be generated to benefit the Nation's workforce. The specific objectives are to understand how informal STEM learning shapes the academic and psychosocial outcomes of rural, high-potential students, and to identify key characteristics of successful informal STEM learning environments for rural, high-potential students and their teachers. The results of this project will provide new tools for educators to increase the flow of underserved students into STEM from economically-disadvantaged rural settings.

The President's Council of Advisors on Science and Technology predicts a rapid rise in the number of STEM jobs available in the next decade, describing an urgent need for students' educational opportunities to prepare them for this workforce. In 2014, 62% of CEOs of major US corporations reported challenges filling positions requiring advanced computer and information technology knowledge. The project team will use a mixed methods approach, integrating comparative case study and mixed effects longitudinal methods, to study the Excellence program. Data sources include teacher interviews, classroom observations, and student assessments of academic aptitude and psychosocial outcomes. The analysis and evaluation of the program will be grounded in understanding the local efforts of school districts to build curriculum responsive to the demands of their high-potential student body. The project design, and subsequent analysis plan, utilizes a mixed methods approach, incorporating case study and longitudinal quantitative methods to analyze naturalistic data and build robust evidence for the implementation and impact of this program. This project will provide significant insights in how best to design, implement, and support informal out-of-school learning environments to broaden participation in the highest levels of STEM education and careers for under-resourced rural students.
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TEAM MEMBERS: Susan Assouline