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
There is a growing need for citizens to be able to work with data and consider how data is represented. This work employs a design, make, play framework to create data modeling learning experiences for young children and their caregivers in an informal setting. The project develops and tests a curriculum for a workshop series for 5-8 year old children to engage them in playful exploration of data modeling. Children engage in data collection, data representation, and data analysis by drawing on their own experiences of museum exhibitions. The curriculum supports developing children's interest and engagement with data science and data literacy, which are foundational knowledge for a range of STEM careers and disciplines. This project advances efforts of the Innovative Technology Experiences for Students and Teachers (ITEST) program to better understand and promote practices that increase students' motivations and capacities to pursue careers in fields of science, technology, engineering, or mathematics (STEM).
The project is grounded in a theoretical framework for young children's learning that focus on playful exploration, design, and building on children's own experiences and questions. The research examines how the curriculum needs to be designed to support families in data modeling, foster engagement in data modeling by both younger (ages 5-6) and older (ages 7-8) children, and provide evidence of active approaches to learning about STEM. The design and development project tests and investigates the materials using a design-based research framework. Children who participate in the workshop series should increase their confidence in solving problems, taking initiative, and drawing on available resources to pursue their own questions and respond to novel challenges. Data collected includes interviews with participants, artifacts of children's work throughout the series, and an observational instrument to document families' problem solving, persistence, and engagement with data science concepts.
WNET, working with Education Development Center, will lead a small scale Innovations in Development effort to develop, research, and evaluate a new model to engage underserved families in STEM learning. The new endeavor, Cyberchase: Mobile Adventures in STEM, will build on the proven impact of the public media mathematics series Cyberchase and the growing potential of mobile technology and texting to reach underserved parents. WNET will produce two new Cyberchase episodes for 6-9 year olds, focused on using math to learn about the environment. Drawing on these videos and an existing Cyberchase game, the team will produce a bilingual family engagement campaign that will combine an in-person workshop followed by a 6-8 week "text to parent" campaign, in which parents receive weekly text messages suggesting family STEM activities related to the media content. The engagement model will be piloted in three cities with large low-income/Latino populations, along with one texting campaign offered without the workshop. This project will build knowledge about how to deploy well-designed public media assets and text messaging to promote fun, effective STEM learning interactions in low-income families. While past research on educational STEM media has tended to focus on children, especially preschool age, this project will focus primarily on text messaging for parents, and on learners age 6-9, and the wider scope of parent/child STEM interactions possible at that age.
The primary goal of the project will be to develop, test and refine a family engagement model that includes a face-to-face workshop, rich narrative Cyberchase content, and text-message prompts for parents to engage in short, playful STEM activities with children. The project team will explore which features of the mobile text-and-media program have most value for low-income and Latino families and prompt STEM learning interactions, including a comparison of workshop-based and text-only variants. The project will have three phases: needs assessment and preliminary design; an early-stage test in New York and development and testing of media; and three late-stage tests in contrasting locations, two including workshops and one "text-only," and analysis of findings. Ultimately, the project will share knowledge with the field about the opportunities and challenges of using mobile texting and public media to reach underserved families effectively. This knowledge will also inform a future proposal for production and outcomes research, which, based on the study results, may include a scaled-up version in ten locations and a ten-city Randomized Control Test. 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 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: Purpose: This project team will fully develop and test Teachley Connect, a platform that syncs a variety of third-party math games to give elementary schools formative assessment data and intervention support. Mobile math games provide opportunities for students to access educationally-meaningful content in and out of the classroom and to supplement instruction. There are a number of examples of math apps that show promise for supporting and assessing student learning in different areas of mathematics, yet few apps in the marketplace provide meaningful data that teachers can use. Many games provide an overall score at the end of the session, but do not help teachers know what skills students are struggling with or how to provide additional support.
Project Activities: During Phase I, (completed in 2015), the team developed a prototype of Teachley Connect, which enables the secure transfer of game and learning data between third-party math games and the Teachley servers. At the end of Phase I, researchers completed a pilot study with 20 students and two teachers and demonstrated that the prototype operated as intended with important trends indicating that the system promotes student engagement and less time spent seeking help. In Phase II, the team will add additional third party math apps to the platform, strengthen the backend management system to tag user game-play data, and build out the teacher reporting dashboard to inform instruction and identify apps to address particular student and class needs. After development is complete, the research team will conduct a larger pilot study to assess the feasibility and usability, fidelity of implementation, and the promise of the Teachley Connect for teachers to use formative assessment data to inform classroom practice, select apps to address individual student needs, and support student math learning. The study will include 12 (grade K to 3) classrooms and randomly assign them into one of three groups: 1) apps only, 2) Teachley-enabled apps, or 3) Teachley-enabled apps + data. Researchers will compare pre-and-post scores of student's math learning, classroom observations, and teacher surveys/interviews.
Product: Teachley Connect will be a mobile tablet-based platform that uses games to give elementary schools rich formative assessment data and intervention support. Teachley Connect will permit students to continue playing exactly where they left off on any tablet. The platform will also connect apps into a single teacher dashboard, providing teachers detailed reports on student performance across games, with insights for informing individual or whole group instruction. The platform will include teacher resources to support the alignment of game play with learning goals and to support implementation.
Purpose: This project team will fully develop and test Cyberchase Fractions Quest, a web-based mathematics game for students in grade 3 and 4. Research shows that inadequate understanding of fractions can persist from early grades through higher education, and that success in fractions predicts future success in mathematics and other STEM subjects.
Project Activities: During Phase I (completed in 2016), the team developed a prototype of Cyberchase Fractions Quest, including an interactive number line game with four levels of challenges, and a tool to scaffold learning through hints and provide encouragement as students progress. At the end of Phase I, the research team conducted a pilot study over one week with 60 grade 4 students, half of whom were randomly assigned to use the prototype and half assigned to paper-based fractions activities. Results revealed that the prototype functioned as intended, that students were engaged during gameplay, and that from pre- to post-test, students using the prototype increased significantly in their knowledge of number line problems compared to the control group. In Phase II, the team will finalize the design, artwork, and animation, the formative and summative assessment component, and learning management system. After development is complete, the researchers will carry out a pilot study to assess the usability and feasibility, fidelity of implementation, and promise of the game to improve student learning of fractions over a 5-week period. The study will include four classrooms of grade 3 students, two of which will be randomly assigned, to use the games to supplement in-class lessons while the others will use paper-based activities. The researchers will compare pre-and-post scores for student learning of fractions. The study will also track teacher implementation.
Product: The final product is Cyberchase Fractions Quest—a math game based on the storyline of PBS children's television series, Cyberchase. In the game, students in grades 3 and 4 will apply learning fractions within three contexts: areas and regions (such as shapes), sets (groups of objects), and on a number line. The game will identify specific areas where students struggle and will introduce challenges to support individualized learning. Similar to other popular game apps, student will receive immediate feedback from one to three stars based on how well they perform on each challenge as well as in-game rewards as they progress toward mastery. The game will include teacher resources for classroom implementation, and an educator dashboard presenting results.
Mathematics is a notoriously disliked subject; there is so little stigma associated with being "bad at math", that educated adults openly describe themselves in this way. There are many reasons for math's unpopularity; chief among them is that school mathematics seldom offers opportunities to engage with the richness of this potentially fascinating subject. As a result, the mathematics education pipeline in the United States is more often a filter than a pump, siphoning students out rather than bringing them along. Children have libraries to help them fall in love with literature: where do they get a chance to fall in love with math? This project presents a unique opportunity to study children engaged with mathematics in an informal setting, the Minnesota State Fair, facilitated by mathematically knowledgeable volunteers. The Math On-a-Stick mathematical playground provides a place for children to engage with mathematics by exploring patters, asking quantitative questions, and investigating shape and space to mathematize their play. The project will observe and videotape this engagement to inform the design of mathematical learning environments in a variety of outside of school time settings, such as after school programs and summer camps, that are accessible to a wider range of the population. This project is co-funded by the EHR Core Research (ECR) and Advancing Informal STEM Learning (AISL) programs. The ECR program emphasizes fundamental STEM education research that generates foundational knowledge in three thematic areas: STEM learning and learning environments, broadening participation, and STEM workforce development. The AISL program seeks to advance new approaches to, and evidence-based understanding of, the design and development of STEM learning in informal environments.
The project will investigate three research questions: (1) How does the design of various parts of the exhibit differently support rich mathematical interactions between children and mathematicians? (2) How do children engage different parts of the exhibit? How do differences in engagement relate to (a) exhibit design and (b) prior mathematical experience? (3) How do exhibit volunteers, mathematicians, and caregivers interact to support (or undermine) students' mathematical play? The project will use participant observation and videography to capture visitors' activities through the exhibit, analyzing them as qualitative case studies.
This project 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.
In 2015, average mathematics scores on the National Assessment of Educational Progress (NAEP) declined in fourth and eighth grades, the first declines in mathematics at these grade levels since 1990. Declines in U.S. mathematics performance has important implications for overall STEM education as well as STEM workforce and international competitiveness. Researchers at Rutgers University will conduct an analysis to isolate the cause of the mathematics decline by investigating the dimensionality of the NAEP assessment, state-level outcomes, and demographic trends.
The team will use multilevel item response theory modeling techniques to investigate the declines by examining the factor structures to determine dimensionality across years. Researchers will examine subscores corresponding to each dimension of the factor structure at the state and national levels. In addition, subscores will be examined for trends in individual states and jurisdictions. Potentially, the analyses will allow for examination of factors related to state standards adoptions, demographic shifts, and participation rates.
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TEAM MEMBERS:
Gregory Camilli
resourceprojectProfessional Development, Conferences, and Networks
As part of its overall strategy to enhance learning in informal environments, the Advancing Informal STEM Learning (AISL) program funds innovative resources for use in a variety of settings. The National Association of Math Circles (NAMC) will convene the Math Circle-Mentor and Partnership (MC-MAP) Workshop in late 2016. The proposed MC-MAP workshop will build the field's understanding of the training content and mechanisms that enhance the knowledge and skill development of participants in Math Circles. The workshop will bring mentors from experienced Math Circle leaders together with novice Math Circle leaders to develop the expertise of the notice leaders and their group to develop their expertise in facilitating math circle activities and in organizing related events. The approximately 180 Math Circles currently operating across the nation enlist mathematics professionals to share their passion for mathematics with K-12 students, teachers, and the general public in contexts that emphasize exploration, problem solving and discovery. This initial conference and Math Circle trainings informed by this conference will help build a community of practice around Math Circles through which novice and existing leaders are connected, encouraged and inspired.
The MC-MAP workshop will include structured planning as well as guided observation and structured debriefing of a demonstration Math Circle sessions. The workshop design will be grounded in research related to effective adult learning and to discovery-based mathematics. The workshop will serve as a training prototype that will assist the National Association of Math Circles to identify effective training formats and materials for both experienced and novice Math Circle leaders. Pre- and post- conference surveys of Math Circle leaders will produce data to be used in planning and designing future trainings. The NAMC will share key findings from the workshop evaluation and workshop resources not only with its membership, but also with other mathematics K-12 outreach programs. Workshop materials will address recruiting and serving diverse participants in Math Circles, including girls and women, persons with disabilities, students from varied socioeconomic backgrounds and underrepresented minorities in STEM.