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.
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.
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
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 MosesDanny MartinCatherine O'ConnorNermeen Darshoush
This NSF INCLUDES Design and Development Launch Pilot will improve math achievement among elementary school students of color in public schools in Albuquerque, New Mexico. Recognizing the need to coordinate efforts related to students' math and science achievement, key stakeholders formed the NM STEM Ecosystem, a dynamic network of cross-sector partners committed to making real impact on STEM education and degree attainment in Albuquerque. The NM STEM Ecosystem identified the math achievement gap between low-income students of color and their more economically-advantaged peers as the Broadening Participation (BP) Challenge it would address first. While math achievement gaps between students of color and Caucasian students appear nationally, the situation is particularly dire in New Mexico. In order to keep doors open to future STEM careers, it is crucial that learning pathways for math are articulated early and that these pathways honor families' cultural ways of knowing. The innovative strategy of Math Families & Communities Empowering Student Success (Math FACESS) is to use a collective impact approach to close the math achievement gap by connecting formal and informal STEM educators around a coherent, multi-faceted program of early mathematics teaching and learning that empowers parents and teachers to support children's mathematical development. Implementation of Math FACESS includes four major components: 1) Teachers at two pilot schools will participate in professional development related to Math Talk and Listening; 2) Parents at the pilot schools will participate in parent workshops and community-based activities focused on supporting their children's math achievement; 3) Project partners will implement community-based family activities organized around a theme of Twelve Months of Math; and 4) Ecosystem partners will study what worked and what didn't, in order to identify best practices that can be shared with system leaders to scale effective practices and increase impact.
The near-term objectives for Math FACESS are: 1) improve students' attitudes, practices, and achievement in math; 2) improve parents' attitudes, practices, and confidence in math and increase their utilization of family math resources; 3) improve data-sharing among partners related to math participation and achievement; and 4) create pathways within the Ecosystem for family math learning. The effectiveness of the collective impact model and impacts on partner organizations also will be assessed. Through the math FACESS Launch Pilot, the NM STEM Ecosystem plans to: 1) demonstrate the power of a collective impact social innovation framework to address a systemic community condition -- in this case, the math achievement gap; 2) contribute to theory-of-change research that demonstrates student achievement can be affected by working with parents and teachers; and 3) provide a model that values different ways of knowing and uses cultural context in the design of STEM learning opportunities for students, families, and schools.
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TEAM MEMBERS:
Joe HastingsArmelle CasauObenshain KorenKersti TysonAngelo Gonzales
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 AucklyHenry FowlerJayadev Athreya
resourceprojectProfessional Development and Workshops
This is an "Inclusion across the Nation of Communities of Learners of Underrepresented Discoverers in Engineering and Science" (INCLUDES) Design and Development Launch Pilot that will implement a plan to assess the feasibility of a strategy designed to ensure high levels of improvement in K-12 grade students' mathematics achievement. The plan will focus on an often-neglected group of students--those who have been performing at the lowest quartile on state tests of mathematics, including African American, Hispanic, Native American, students with disabilities, and those segregated in urban and rural communities across the country. The project will draw on lessons learned from the nation's Civil Rights Movement and a community-organizing strategy learned during the struggle to achieve voting rights for African Americans. The Algebra Project (AP) is a national, nonprofit organization that uses mathematics as an organizing tool to ensure quality public school education for every child in America; it believes that every child has a right to a quality education to succeed in this technology-based society. AP's unique approach to school reform intentionally develops sustainable, student-centered models by building coalitions of stakeholders within the local communities, particularly the historically underserved populations. The AP works to change the deeply rooted social attitudes that encourage the disenfranchisement of a third of the nation's population. It delivers a multi-pronged approach to build demand for and support of quality public schools, including research and development, school development, and community development education reform efforts through K-12 initiatives.
The Algebra Project and the Young People's Project (YPP) will join efforts to bring together over 70 individuals and organizations, including 17 universities of which 8 are Historical Black Colleges and Universities, school districts, mathematics educators, and researchers to examine their experiences, and use collective learning to refine and hone strategies that they have piloted and tested to promote mathematics inclusion. The role of YPP in the proposed project will be to organize and facilitate the youth component, such that project activities reflect the language and culture of students, continuously leveraging and building upon their voice, creative input, and ongoing feedback. YPP will conduct workshops for students organized around math-based games that provide collective experiences in which student learning requires individual reflection, small group work, teamwork and discussion. The proposed work will comprise the design of effective learning opportunities; building and supporting a cadre of teachers who can effectively work with students learning under the proposed approach; using technologies to enhance teaching and learning; and utilizing evaluation and research to drive continuous improvement. Because bringing together an effective network with diverse expertise to collaborate towards national impact requires expert facilitation processes, the project will establish working groups around three major principles: (1) Organizing from the bottom up through students, their teachers, and others in local communities committed to their education, allied with individuals and organizations who have expertise and dedication for achieving the stated goals, can produce significant progress and the conditions for collective impact; (2) Effective learning materials and formal and informal learning opportunities in mathematics can be designed and implemented for students performing in the bottom academic quartile; and (3) Teachers and other educators can become more proficient and more confident in their capacity to produce students who are successful in learning the level of mathematics required for full participation in STEM. The working groups will also be tasked to consider two cross-cutting topics: (a) the communication structures and technologies needed to operate and expand the present network, and to create the "backbone" and other structures needed to operate and expand the network; and (b) the measurements and metrics for major needs, such as assessing students' mathematics literacy, socio-emotional development in specified areas; teachers' competencies; as well as the work of the network. The final product of this plan will be a "Theory of Collective Action and Strategic Plan". The plan will contain recommendations for collective actions needed in order for the current network to coordinate, add appropriate partners, develop the needed backbone structures, and become an NSF Alliance for national impact on the broadening participation challenge of improving the mathematics achievement. An external evaluator will conduct both formative and summative aspects of this process.
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TEAM MEMBERS:
Robert MosesNell CobbGregory BudzbanMaisha MosesWilliam Crombie
This proposal was submitted in response to EHR Core Research (ECR) program announcement NSF 15-509. The ECR program of fundamental research in STEM education provides funding in critical research areas that are essential, broad and enduring. EHR seeks proposals that will help synthesize, build and/or expand research foundations in the following focal areas: STEM learning, STEM learning environments, STEM workforce development, and broadening participation in STEM. The ECR program is distinguished by its emphasis on the accumulation of robust evidence to inform efforts to (a) understand, (b) build theory to explain, and (c) suggest interventions (and innovations) to address persistent challenges in STEM interest, education, learning, and participation.
The study will investigate the processes that connect gestures and mathematics learning. Gestures are an important yet under-investigated aspect of mathematics teaching. They can influence students' memory and understanding of mathematical representations. The series of studies will examine students' learning of the concept of mathematical equivalence by testing instruction that incorporates commonly used verbal explanations and gestures. Mathematical equivalence includes understanding the meaning of the equal sign and determining if two expressions are equal. Second and third grade children will be participants. Of particular interest in the studies is the influence of gestures on preexisting knowledge of procedures, how gestures support learning beyond emphasizing information and direct learners' attention, and the creation of procedural knowledge.
The series of experimental studies will examine the mechanisms that connect gestures and procedural understanding of mathematical equivalence. The studies begin in the first phase with examining how gesture is connected to procedural knowledge of mathematical equivalence. Subsequent studies investigate how gesture functions as a mechanism for learning beyond emphasizing or directing attention to relevant information. Data collected will students' responses to equivalence problems and eye tracking data to follow whether students are looking from one side of the equal sign to the other. In the second phase of the work, the studies will examine how gesture has beneficial effects on learning more generally in mathematics. Working memory will be assessed in order to examine the role of gesture across different individuals. Fraction tasks will be used to examine the generalization of the previous results regarding gestures to other mathematics concepts.
The Peg + Cat ELM2 project sought to combine robust media-integrated teacher training in both math content and facilitation of classroom and family engagement activities with transmedia resources that parents and children could utilize at home. This cohesive approach resulted in increases in teachers’ confidence in and knowledge about their mathematics instruction, parents’ engagement in activities and conversations with their children around math, and children’s positive and persistent attitudes towards math, as reported by their parents. Taken together, these findings suggest that the Peg +
Purpose: An estimated 5 to 8% of elementary school students have some form of memory or cognitive deficit that inhibits learning basic math. Researchers have identified several areas where children with math learning difficulties struggle. These include a strong sense of number facts to quickly and accurately perform operations on single digit numbers, the use of strategies to solve problems which have not yet been memorized, a sense to figure out whether or not an answer is reasonable, and self-monitoring to assess one's own efficacy and understanding. To support students with math learning difficulties in grades 1 to 4, this project team will develop a series of apps for touch-screen tablets that encourage single digit operational fluency, conceptual understanding, strategy awareness, and self-understanding.
Project Activities: During Phase I project in 2012, the research team developed a prototype of the single digit addition game, following an iterative process incorporating feedback from teachers and students having difficulty with math. Nineteen students participated in a pilot study, and the researchers found that the prototype functioned well and that users were engaged by the game. In Phase II, the team will build and refine the back end system, design and develop the teacher website, and create content for games in subtraction, multiplication, and division. Researchers will carry out a pilot test of the usability and feasibility, fidelity of implementation, and promise of the game to improve learning. Students in first to fourth grade identified by teachers as having the greatest difficulty with math will participate in the pilot study. Half of the 120 students participating in the pilot study will be randomly selected to play the game as a supplement to classroom learning whereas the other half will not have access. Students in the control group will be provided the games at the end of the study. Analyses will compare pre- and post-test math scores.
Product: The web-based game, MathFacts, will include a series of apps for touch-screen tablet computers to support math learning for 1st to 4th grade students with major or sometimes intractable learning difficulties. In the game, students will learn content through mini-lessons, engage with problems in practice and speed rounds, and then receive formative feedback on their performance. Students will use and manipulate blocks, linker tubes, number lines, and interact with engaging pedagogical agents such as parrots and sloths. Students will set goals, advance to more challenging levels, and engage in competition. The game will be self-paced and will provide individualized formative assessment scaffolding when students do not know the answer to a question. A teacher management system will support professional development and will produce reports to guide instruction. The intended outcomes from gameplay will include increased fluency, conceptual understanding, strategy awareness, self-assessment, and motivation of basic math.