Making experiences and activities are rich with opportunities for mathematical reasoning that often go unrecognized by both participants and educators. Since 2015, we have been exploring this potential through the Math in the Making initiative. The work focuses particularly on children’s museums and science centers, many of which have developed maker spaces and programs over the last decade. In this article, we share insights from our most recent round of research. To begin, we consider the fundamental question of what it means to authentically integrate mathematics with making.
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 GillenMaisha MosesThomas NikundiweNaama LewisAlice Cook
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.
Well-designed out-of-school time experiences can provide youth with rich opportunities to learn. However, to design effective out-of-school time experiences, it is critical to have a research basis that clarifies the features of programs that support increased youth engagement that then leads to better outcomes for youth. This project explores the features of programming that integrates sports, mathematics and science concepts, and growth mindset for 4th through 8th grade aged Latinx and African American youth. To accomplish this, the investigators refine curricular resources for out-of-school time programs and develop a model for professional learning experiences for informal educators and facilitators to support their implementation of integrated sports and STEM programming. To identify critical features of the programming, the researchers explore the ways that the program activities are implemented in two different contexts as well as the impact of the programming on youth participants' mindset, understanding of science and mathematics concepts, STEM interests, and self-perceived science and mathematics abilities. Additionally, researchers will explore the ways that the sports-themed programming supports (or could better support) girls' engagement.
The project builds on the University of Arizona researchers' existing partnerships with Major League Baseball (MLB) and Boys/Girls Club programs and an existing school-based MLB program for schools to (a) expand and refine Science of Baseball activities to enhance engagement among girls and incorporate growth mindset experiences that focus on the value of effort, determination, and learning from mistakes in both athletics and STEM; (b) study the enactment and outcomes of the program with 4th-8th grade aged youth in the two distinct informal learning settings; and (c) develop and refine a model for professional learning that includes in-person and on-line components for training informal STEM learning facilitators. The work will focus on two study contexts: afterschool programs of Boys and Girls Clubs in AZ, CA, and MO and summer programs of MLB in CA and MO. Participants will include 300 youth and up to 28 informal STEM learning facilitators split across the two contexts. Design-Based Implementation Research (DBIR) will be used to a) iteratively refine the activities and professional development model, and b) study the enactment and outcomes of the program. Research questions focus on outcomes for youth participants (i.e., impact on growth mindset, STEM dispositions, and understanding of science/math concepts), and the elements of effective professional development for informal STEM educators. Outcomes of the project include empirical evidence of what works and what doesn't work in the design, implementation, and professional development for STEM learning programs that integrate sports and growth mindset principles. In addition, outcomes of the project will advance knowledge of how different out-of-school program structures with similar sports-focused STEM programming can similarly (or differentially) support youth learning.
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. 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.
Virtual Reality (VR) shows promise to broaden participation in STEM by engaging learners in authentic but otherwise inaccessible learning experiences. The immersion in authentic learner environments, along with social presence and learner agency, that is enabled by VR helps form memorable learning experiences. VR is emerging as a promising tool for children with autism. While there is wide variation in the way people with autism present, one common set of needs associated with autism that can be addressed with VR is sensory processing. This project will research and model how VR can be used to minimize barriers for learners with autism, while also incorporating complementary universal designs for learning (UDL) principles to promote broad participation in STEM learning. 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 project will build on a prototype VR simulation, Mission to Europa Prime, that transports learners to a space station for exploration on Jupiter's moon Europa, a strong candidate for future discovery of extraterrestrial life and a location no human can currently experience in person. The prototype simulation will be expanded to create a full, immersive STEM-based experience that will enable learners who often encounter cognitive, social, and emotional barriers to STEM learning in public spaces, particularly learners with autism, to fully engage and benefit from this STEM-learning experience. The simulation will include a variety of STEM-learning puzzles, addressing science, mathematics, engineering, and computational thinking through authentic and interesting problem-solving tasks. The project team's learning designers and researchers will co-design puzzles and user interfaces with students at a post-secondary institute for learners with autism and other learning differences. The full VR STEM-learning simulation will be broadly disseminated to museums and other informal education programs, and distributed to other communities.
Project research is designed to advance knowledge about VR-based informal STEM learning and the affordances of VR to support learners with autism. To broaden STEM participation for all, the project brings together research at the intersection of STEM learning, cognitive and educational neuroscience, and the human-technology frontier. The simulation will be designed to provide agency for learners to adjust a STEM-learning VR experience for their unique sensory processing, attention, and social anxiety needs. The project will use a participatory design process will ensure the VR experience is designed to reduce barriers that currently exclude learners with autism and related conditions from many informal learning opportunities, broadening participation in informal STEM learning. Design research, usability, and efficacy studies will be conducted with teens and adults at the Pacific Science Center and Boston Museum of Science, which serve audiences with autism, along with the general public. Project research is grounded in prior NSF-funded research and leverages the team's expertise in STEM learning simulations, VR development, cognitive psychology, universal design, and informal science education, as well as the vital expertise of the end-user target audience, learners with autism. In addition to being shared at conferences, the research findings will be submitted for publication to peer-reviewed journals for researchers and to appropriate publications for VR developers and disseminators, museum programs, neurodiverse communities and other potentially interested parties.
This Innovations in Development 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:
Teon EdwardsJodi Asbell-ClarkeJamie LarsenIbrahim Dahlstrom-Hakki
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
This paper describes innovative ways of bringing mathematical learning into community venues in rural settings. We selected highly engaging mathematical activities, adapted them for middle school youth and their families, and brought them to the “locavore” contexts of Farmers Markets and community agricultural fairs. “STEM Guides”—community people hired to connect youth with local STEM resources—set up math-oriented booths at local Farmers Markets and fairs. They enlisted visitors in weighing produce, comparing weights of typical fruits/vegetables to record-weighing produce, and composing
African American and Latinx youth are often socialized towards athletic activity and sports participation, sometimes at the expense of their exploration of the range of potential career paths including those in the science, technology, engineering, and mathematics (STEM) fields. This project will immerse middle school youth in the rapidly growing world of sports data analytics and build their knowledge of statistics concepts and the data science process. The project will focus on the STEM interests and knowledge development of African American and Latinx youth, an underrepresented and underserved group in STEM. Researchers will explore the ways youths' social identities can and should serve as bridges towards future productive academic and professional identities including those associated with STEM learning and the STEM professions. The outcomes of the project will advance knowledge in promoting elements of informal learning experiences that build adolescents' motivation and persistence for productive participation in STEM courses and careers. This project is funded by the Advancing Informal STEM Learning program (AISL), which seeks to advance new approaches to and evidence-based understanding of the design and development of STEM learning opportunities for the public in informal environments, and the Innovative Technology Experiences for Students and Teachers program (ITEST), which funds projects that leverage innovative uses of technologies to prepare diverse youth for the STEM workforce, with a focus on broadening participation among underrepresented and underserved groups in STEM fields.
Over a three-year period, 250 middle school learners in the West Baltimore, Maryland and Hyattsville, Maryland areas will engage in three main learning activities: Summer Camp (three weeks), Sports Day Saturdays, and a Spring Summit. Through a partnership between the University of Maryland and Coppin State University, the project will utilize resources in multiple departments and units across both universities, and engage with youth sports leagues such as the American Athletic Union (AAU) to support participants' engagement in the data science process including collection of raw data, exploration of data, development of models, visualization, communication, and reporting of data, and data-driven decision making. Furthermore, youth participants will attend local AAU, college, and professional sporting events, and interact with members of coaching staffs to better understand the ways performance data technologies are utilized to inform recruitment and team performance. The mixed-methods research agenda for this project is guided by three main questions: (1) What elements of the project's model are most successful at supporting congruence of adolescents' academic identity, including STEM identity and social identity including athletic identity? (2) What elements support adolescents' motivation, and persistence for productive participation in current and future STEM courses? (3) To what extent did the project appear to influence participants' perceptions of their future professions? At multiple points throughout the experience, participants will complete surveys designed to document and assess statistics and data science knowledge; interest in STEM careers; academic, social and athletic identity development; and STEM course taking patterns. Researchers will also observe project activities, interview a focal group of participants, and survey participants' parents to identify elements of learning experiences that encourage and support adolescents' interest in STEM disciplines and STEM professions. The project team will develop conceptual and pedagogical frameworks that support middle school youth' engagement and interest in science, engineering, technology, and mathematics through repurposing spaces where these youths frequent. A major outcome of the project will be workforce preparation and offers a promising approach for encouraging youth to persist along STEM pathways, which may ultimately result in broadened participation in STEM workforces.
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.
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 KahnStephen ChrisomalisTodd KubicaCarol Philips-BeyFrancisca Richter
This paper describes an NSF-funded study which explored the relationship between female-responsive exhibit designs and girls’ engagement. Across three participating science centers, 906 museum visitors ages 8 to 13 were observed at 334 interactive physics, math, engineering, and perception exhibits. We measured girls’ engagement based on whether they chose to use or return to the exhibits, opted to spend more time at them, or demonstrated deeper engagement behavior. Findings suggest that the design strategies identified in our previously developed Female-Responsive Design Framework can inform
This paper describes the development of a Female-Responsive Design Framework for Informal Science Education (ISE). The FRD Framework translates ideas from Culturally Responsive Pedagogy to discover and recommend pedagogical strategies that apply to females and design. This paper describes our synthesis of prior research about females’ social, historical, and cultural practices in STEM learning from a variety of fields. The paper further details our process of developing the FRD Framework with the help of museum practitioners, female youth, researchers, and experts from the fields of design
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.