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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
resource project Professional 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 Moses Nell Cobb Gregory Budzban Maisha Moses William Crombie
resource project Informal/Formal Connections
As part of its overall strategy to enhance learning in informal environments, the Advancing Informal STEM Learning (AISL) program funds innovative research, approaches and resources for use in a variety of settings. This Research in Service to Practice project will address the issues around Informal Education of rural middle school students who have high potential regarding academic success in efforts to promote computer and IT knowledge, advanced quantitative knowledge, and STEM skills. Ten school districts in rural Iowa will be chosen for this study. It is anticipated that new knowledge on rural informal education will be generated to benefit the Nation's workforce. The specific objectives are to understand how informal STEM learning shapes the academic and psychosocial outcomes of rural, high-potential students, and to identify key characteristics of successful informal STEM learning environments for rural, high-potential students and their teachers. The results of this project will provide new tools for educators to increase the flow of underserved students into STEM from economically-disadvantaged rural settings.

The President's Council of Advisors on Science and Technology predicts a rapid rise in the number of STEM jobs available in the next decade, describing an urgent need for students' educational opportunities to prepare them for this workforce. In 2014, 62% of CEOs of major US corporations reported challenges filling positions requiring advanced computer and information technology knowledge. The project team will use a mixed methods approach, integrating comparative case study and mixed effects longitudinal methods, to study the Excellence program. Data sources include teacher interviews, classroom observations, and student assessments of academic aptitude and psychosocial outcomes. The analysis and evaluation of the program will be grounded in understanding the local efforts of school districts to build curriculum responsive to the demands of their high-potential student body. The project design, and subsequent analysis plan, utilizes a mixed methods approach, incorporating case study and longitudinal quantitative methods to analyze naturalistic data and build robust evidence for the implementation and impact of this program. This project will provide significant insights in how best to design, implement, and support informal out-of-school learning environments to broaden participation in the highest levels of STEM education and careers for under-resourced rural students.
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TEAM MEMBERS: Susan Assouline
resource project Media and Technology
Purpose: The team will fully develop and test three puzzle-based math games that adaptively assess and support student learning in middle school classrooms. A principle objective of middle school math is to prepare students for more complicated and advanced STEM topics, providing the foundation for a wide variety of college majors and careers. Students who struggle in math in grade 5 and 6 are more likely to show deficits as coursework turns to topics in algebra. However, in many classrooms, commonly used progress monitoring instruments often do not adjust in ease or difficulty based on student performance, and do not provide data teachers can use to tailor instruction to meet the needs of students.

Project Activities: During Phase I (completed in 2015), the team developed a prototype of an adaptive engine for Wuzzit Trouble, a previously developed app where players rotate a virtual wheel to solve puzzles by applying number sense mathematical strategies. The engine tailors gameplay to the skill level of individual students in real time, providing tips and support to students having difficultly or by making challenges more difficult for those who master puzzles. The research team conducted a pilot study at the end of Phase I in order to test the prototype. A little more than 200 grade 5 and 6 students and six teachers participated over two weeks. Researchers found that the prototype functioned as intended and that teachers successfully used the game before, during, and after class as a supplement to instruction. They learned that 65% of students enjoyed using the prototype and 46% indicated that the game adjusted to the right level of difficulty during gameplay. In Phase II, the team will develop two new games on topics including algebraic thinking and problem solving, will strengthen and validate the adaptive engine, and will build out the dashboard to report formative and summative assessment results. After development is complete, the researchers will carry out a larger pilot study to assess the usability and feasibility, fidelity of implementation, and promise of the three games to improve student learning over a 9-week period. Thirty-two grade 5 and 6 math classrooms from 16 schools will participate. One classroom from each school will be randomly assigned to use the games and half will continue with business-as-usual procedures. The researchers will compare pre-and-post scores for student learning on standardized measures of pre-algebra topics. They will also track teacher implementation.

Product: The final product will include a suite of three app-based puzzle games aligned to national math standards for number sense, algebraic thinking, and problem solving. The games will be designed for use in grade 5 and 6 classrooms where students develop and apply content expertise to solving challenges. The games will include an adaptive engine that assesses and adjusts content based on student level of performance, a back-end system to organize data, and a reporting dashboard to present measures of student performance, persistence, and creativity. The project team will also develop teacher resources for suggesting how to incorporate games and activities into classroom instructional practice to reinforce lesson plans and learning.
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TEAM MEMBERS: Randy Weiner
resource project Public Programs
This NSF INCLUDES pilot addresses the challenge of broadening participation in Science, Technology, Engineering and Math (STEM) among minoritized youth in grades 5-8 and their access to computer science (CS), which is recognized as integral to all STEM disciplines. This project will specifically focus on developing and understanding computing experiences intentionally designed to strengthen mathematical skills utilizing culturally responsive pedagogy. Culturally responsive pedagogy integrates knowledge relevant to students' identities and communities with computational learning activities, and maximizes the potential for increasing engagement, competence, and belonging of underrepresented youth in computing. This pilot will be situated in community-based organizations, including Boys and Girls Clubs and Public Libraries, with the support of industry partners and the local Department of Education. Given the role of community-based organizations and libraries across the nation for community engagement and educational enrichment, this work represents an exciting opportunity for spreading into thousands of libraries and community centers across the nation, thereby having collective impact that materializes CS for All.

This project will engage minoritized youth in grades 5-8. The overarching vision is to establish a scalable model for providing these students with recurrent opportunities to create computational artifacts that are culturally-responsive to their community contexts. In addition, there will be an explicit and simultaneous focus on strengthening students' mathematical skills. The project has four goals: (1) facilitate culturally-responsive learning of key CS concepts and practices; (2) build youth and community knowledge around positive impacts of computing on local communities; (3) increase participants' knowledge, confidence and interest in becoming creators of computing innovations; and (4) strengthen mathematical skills through intentional computing experiences. The project will adapt and implement CS modules from the NSF-funded Exploring Computer Science curriculum, and will intentionally reinforce mathematics skills and community engagement. It will design and implement a culturally-responsive training model for establishing community instructors who can support CS project learning. Finally, it will create instruments for monitoring project goals and participant outcomes. Due to the collaboration with community-based organizations present in cities across the nation, the model has strong potential to scale up regionally and nationally.
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TEAM MEMBERS: Lori Pollock Chrystalla Mouza John Pelesko Rosalie Rolon-Dow
resource project Public Programs
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.
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TEAM MEMBERS: Ilana Horn Melissa Gresalfi
resource project Informal/Formal Connections
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
resource project Professional 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.
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resource project 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 teach 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 seeks 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, PA. As such, this project will deepen understandings of program replication and of addressing the needs of youth in economically-challenged communities in order to promote mathematics learning.

The project's research studies will assess the multiple factors that make Math Corps successful with youth in Detroit and document the implementation of the program to the three replication sites. Research methods include discourse analyses, surveys, interviews, and pre/post-tests. The project will also conduct a retrospective evaluation of Math Corps based on quantitative datasets regarding both near-term and long-term youth outcomes.

This projects is funded by the Advancing Informal STEM Learning program, which seeks to advance new approaches to, and evidence-based understandings of, the design and development of STEM learning in informal environments.
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TEAM MEMBERS: Steve Kahn Stephen Chrisomalis Todd Kubica Carol Philips-Bey Francisca Richter
resource project Media and Technology
Moving Beyond Earth Programming: “STEM in 30” Webcasts. The Smithsonian’s National Air and Space Museum (NASM) will develop nine “STEM in 30” webcasts which will be made available to teachers and students in grades 5-8 classrooms across the country. The primary goal of this program is to increase interest and engagement in STEM for students. Formative and summative evaluations will assess the outcomes for the program, which include the following:

Increased interest in STEM and STEM careers, Increased understanding of science, technology, engineering and mathematics (STEM), Increased awareness and importance of current and future human space exploration, and Increased learning in the content areas.

This series of live 30-minute webcasts from the National Air and Space Museum and partner sites focus on STEM subjects that integrate all four areas. The webcasts will feature NASA and NASM curators, scientists, and educators exploring STEM subjects using museum and NASA collections, galleries, and activities. During the 30-minute broadcasts, students will engage with museum experts through experiments and activities, ask the experts questions, and answer interactive poll questions. After the live broadcasts, NASM will also archive the webcasts in an interactive “STEM in 30” Gallery.
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TEAM MEMBERS: Roger Launius
resource project Public Programs
During middle school, many young people disengage from and consequently do not achieve in school-based STEM subjects. This phenomenon is more pronounced among young people in low-income communities than elsewhere. Many summer, out-of-school STEM programs are designed to offer young people opportunities to engage in hands-on, inquiry-based learning that promote interest and engagement in STEM. Research on the effect of these types of programs is limited, however. This research project seeks to fill this gap by identifying and studying practices that promote interest and engagement in STEM-related topics. The central goal of the summer STEM Interest and Engagement Study is to identify instructional practices associated with cultivating and sustaining young people's interest and engagement in out-of-school STEM summer learning programs for middle school youth. The project is based on a model of change developed from existing theory and empirical research on the cultivation of youths' interest and engagement in STEM. The project is a descriptive study that will apply multiple data collection and analytic methods, including the Experience Sampling Method (ESM), to determine instructional practices and the resulting interest, engagement, and perceptions of youth as they participate in STEM activities. In addition, survey data provided by program participants will allow the researchers to account for individual differences in preexisting interest and background factors, such as gender and ethnicity, and to measure changes in dispositions toward STEM. By better understanding these connections, practitioners can better understand how the design of their programs may influence the outcome of the participants' experience, including their education and career decisions.
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TEAM MEMBERS: Deborah Moroney Neil Naftzger Lee Shumow Jennifer Schmidt
resource project Public Programs
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. This research project leverages ongoing longitudinal research to investigate whether, and if so how, youth from ages 10 to 15 in a diverse, under-resourced urban community become interested and engaged in STEM. The project addresses a global issue; fewer youth choose to major in scientific fields or take science coursework at high school or university levels. These declining numbers result in fewer STEM professionals and fewer scientifically literate citizens who are able to function successfully in an increasingly scientific and technological society. These declines are observed for youth as a whole, but are most pronounced for girls and particular non-white ethnic minorities. Data collected from youth in this community of study, including non-white ethnic minorities, mirrors this decline. NSF funding will support a five-year systematic and systemic process in which project researchers work collaboratively with existing informal and formal educational partners (e.g., museums, libraries, afterschool providers, schools) to develop sets of customized, connected, and coordinated learning interventions, in and out of school, for youth with different backgrounds, needs, and interests, all with the goal of averting or dampening this decline of STEM interest and participation during early adolescence. In addition to new research and community STEM networks, this project will result in a Community Toolkit that includes research instruments and documentation of network-building strategies for use by other researchers and practitioners nationally and internationally. This mixed methods exploratory study has two distinct but interrelated populations - youth and educators from across informal and formal institutions. To develop a clearer understanding of the factors that influence youths' STEM interest development over time, particularly among three youth STEM Interest Profiles identified in a secondary analysis (1-Dislike Math, 2-Like all STEM, 3-Dislike all STEM), the design combines surveys with in-depth interviews and observations. To study educators and institutions, researchers will combine interviews, focus groups, and observations to better understand factors that influence community-wide, data-driven approaches to supporting youth interest development. Research will be conducted in three phases with the goal of community-level change in youth STEM interest and participation. In Phase 1 (Years 1 & 2) four educational partners will develop interventions for a 6th and 7th grade youth cohort that will be iteratively refined through a design-based approach. Educational partners and researchers will meet to review and discuss interest and participation data and use these data to select content, as well as plan activities and strategies within their programs (using a simplified form of conjecture mapping). By Phase 2 (Years 3 & 4) four additional partners will be included, more closely modeling the complex system of the community. With support from researchers support and existing partners, new educational partners will similarly review and discuss data, using these to select content, as well as plan activities consistent with program goals and strategies. Additional interventions will be implemented by the new partners and further assessed and refined with a new 6th and 7th grade cohort, along with the existing interventions of the first four partners. In Phase 3 (Year 5) data will be collected on pre-post community-level changes in STEM interest and participation and the perceived effectiveness of this approach for youth. These data will inform future studies.
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