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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: Dr. Darius Frelix Cynthia H. Sanchez Tapia Ha Nguyen
resource research Public Programs
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: Jay Gillen Maisha Moses Naama Lewis Alice Cook
resource research Public Programs
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: Teresa Lara-Meloy Celia García Alvarado Jennifer Knudsen Nuria Jaumot-Pascual
resource project Professional Development, Conferences, and Networks
Growth in the US Latinx population has outpaced the Latinx growth in science, technology, engineering, and math (STEM) degrees and occupation, further widening the ethnic gap in STEM. Mathematics has often identified as a bottleneck keeping many youth, especially minoritized youth, from pursuing STEM studies. Unequal opportunities to develop powerful math assets explain differences in math skills and understanding often experienced by minoritized youth. Implementing culturally responsive practices (CRP) in afterschool programs has the potential to promote math skills and motivation for youth from minoritized groups. However, extensive research is needed to understand which culturally responsive informal pedagogical practices (CIPPs) are most impactful and why. This project aims to identify and document such practices, shed light on the challenges faced by afterschool staff in implementing them, and develop training resources for afterschool staff to address these challenges. This 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.

The fundamental research questions addressed by the project focus on (1) which CIPPs matter most in the context of a STEM university-community partnership engaging Latinx youth, and (2) in what context(s) and under what conditions do these CIPPs relate to positive outcomes for both youth participants and college mentor/facilitator. A third aim is to build capacity of afterschool staff for implementing CIPPs in informal STEM afterschool programs. The first two aims are addressed through a mixed-methods research study which includes quantitative surveys and qualitative in-depth interviews with five cohorts of adolescent participants, parents, and undergraduate mentors. Each year, surveys will be collected from adolescents and mentors at four time points during the year; the in-depth interviews will be collected from adolescents, parents, and mentors in the spring. In total, 840 adolescents and 210 mentors will be surveyed; and 87 adolescents, 87 parents, and 87 mentors will be interviewed. The third aim will be addressed by leveraging the research findings and the collective knowledge developed by practitioners and researchers to create a public archive containing documentation of CIPPs for informal STEM afterschool programs and training modules for afterschool staff. The team will disseminate these resources extensively with informal afterschool practitioners in California and beyond. Ultimately, this project will lead to improved outcomes for minoritized youth in informal STEM afterschool programs across the nation, and increased representation of minoritized youth in STEM pursuits.
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TEAM MEMBERS: Alessandra Pantano Sandra Simpkins Cynthia Sanchez Tapia
resource project Public Programs
The project will develop and research an after-school program designed to engage rural, Latinx youth in design thinking and math through making. Making is a learner-centered environment where participants design, create, and develop projects. Latinx individuals are underrepresented in the STEM workforce. The project will engage Latinx youth during the critical middle school years when young people make choices that affect their futures. The project will work with community members, after school staff, and youth as co-designers to develop and pilot the complete after school program. The program will involve Latinx youth who live in the agricultural regions of the Southwest United States with the goal of developing agency and positive identity, as makers, mathematical doers and users, and active community members. They will engage in developmentally appropriate mathematics, such as the volume and surface area of geometric shapes, within the context of informal learning projects. The program will comprise four semester-long after school projects, involving participants for 2-4 hours each week, during which time youth will design and create objects to address typical community challenges. Each project will incorporate smaller modules to enable youth with different attendance needs to participate. Real community problems (e.g., drought) and solution paths (e.g., water catchment system) will motivate the making and the mathematics. The program, co-designed in partnership with the Cesar Chavez Foundation, promises to reach 100,000 youth over the next decade. Because the program can serve as a model for others with similar goals, this reach has the potential to be expanded in many other communities.

Project research will address a gap in the current literature on mathematics, making, and community membership. The project connects community mathematics—the rich mathematical knowledge and practices drawn from communities—to educational making to both enrich understanding of school mathematics and aid in developing students’ positive mathematical and cultural identities. The project will also result in a model of professional development that can be used and studied by after school programs and researchers, contributing to the limited body of knowledge of professional development on STEM making for after school facilitators. The research design for this project will follow a mixed methods approach where quantitative and qualitative data collection and analysis will occur simultaneously. Results of both strands will be brought together at the interpretation and reporting level to compare and bring out the convergence, divergence, or complementarity of findings. The research will take place in two stages (co-design and pilot) over 3 years, with an additional half year for developing communications of the findings. Research will address the following questions: (1) What are the key features of projects for integrating community mathematics, school mathematics understanding, and design/making? (2) How do facilitators support the youth in engaging in program activities? (3) What math content and practices do youth learn through participation in program activities? and (4) How do youth’s agency and identity as makers, mathematics doers and users, and community members change with participation in the program? Program research and resources will be disseminated nationally through the Cesar Chavez Foundation and by sharing project research and resources through publications and conference presentations reaching researchers, educators, and program developers.
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TEAM MEMBERS: Teresa Lara-Meloy Celia Alvarado Nuria Jaumot-Pascual Jennifer Knudsen
resource evaluation Public Programs
The Wayne State University Math Corps is a mathematics enrichment and mentoring program that operates during summers and on Saturdays. The curriculum and the pedagogies in this informal learning program have documented success of supporting youths' mathematics learning as well as raising achievement levels in school. Through rigorous research and evaluation, this project seeked to analyze and understand the nature, extent, and reasons for Math Corps' success with youth learning in Detroit as well as the processes of program replication in three sites: Cleveland, OH; Utica, NY; and Philadelphia
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TEAM MEMBERS: Lindsay Fox Barbara Harris
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 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 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 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
resource project Summer and Extended Camps
This NSF INCLUDES Design and Development Launch Pilot is to expand the Navajo Nation Math Circle model to other sites, and to develop and launch a network of math circles based on the NNMC model. The Navajo Nation Math Circle model is a novel approach to broadening the participation of indigenous peoples in mathematics that, ultimately, seeks to improve American Indian students' attitudes towards mathematics, persistence with challenging problems, and grades in math courses. Navajo Nation Math Circles bring teachers, students, and mathematicians together to work collaboratively on challenging, but meaningful and fun, math problems. Through this NSF INCLUDES project, additional math circles across the Navajo Nation will be launched and a mirror site in Washington State serving additional tribes (such as Puyallup, Muckleshoot, Tulalip, and Stillaguamish) will be established.

Originating approximately a century ago in Eastern Europe as a means to engage students in mathematical thinking, math circles bring teachers, students, and math professionals together to work collaboratively on challenging, but relevant and interesting, math problems. Navajo Nation Math Circles, established math circles in various Navajo Nation communities, are the foundation of this INCLUDES project. One goal of this effort is to launch a network with the capacity to support the replication and adaption of math circles in multiple sites as an innovative strategy for encouraging indigenous math engagement through culturally enriched open-ended group math explorations. In addition, the Navajo Nation Math Circle model will be expanded to new math circles in the Navajo Nation, as well as in Washington State to serve additional tribes. Cells in the network will implement key elements of the Navajo Nation Math Circle model, adapting them to their particular contexts. Such elements include facilitation of open-ended group math explorations, incorporating indigenous knowledge systems; a Mathematical Visitor Program sending mathematicians to schools to work with students and their teachers; inclusion of mathematics in public festivals to increase community mathematical awareness; a two-week summer math camp for students; and teacher development opportunities ranging from workshops to immersion experiences to a mentoring program pairing teachers with mathematicians.
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TEAM MEMBERS: David Auckly Henry Fowler Jayadev Athreya