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resource project Community Outreach Programs
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 Hastings Armelle Casau Obenshain Koren Kersti Tyson Angelo Gonzales
resource project Summer and Extended Camps
The University of Texas at Austin's Texas Advanced Computing Center, Chaminade University of Honolulu (CUH), and the Georgia Institute of Technology will lead this NSF INCLUDES Design and Development Launch Pilot (DDLP) to establish a model for data science preparation of Native Hawaiian and Pacific Islander (NHPI) students at the high school and undergraduate levels. The project is premised on the promise of NHPI communities gaining access to, and the ability to work with, large data sets to tackle emerging problems in the Pacific. Such agency over "big data" sets that are relevant to Pacific issues, and contemporary skills in data science, analytics and visualization have the potential to be transformative for community improvement efforts. The effort has the potential to advance knowledge, instructional pedagogy and practices to improve NHPI high school and undergraduate students performance in and attraction to STEM education and careers.

The project team will work to: 1) Increase interest and proficiency in data science and visualization among NHPI high school and undergraduate students through a summer immersion experience that bridges computation and culture; 2) Build data science capacity at an NHPI serving undergraduate institution (CUH) through creation of a certificate program; and 3) Develop and expand partnerships with other organizations with related goals working with NHPI populations. The month-long summer training for 20 NHPI college students, and five NHPI high school students, takes place at CUH and focuses on data science, visualization, and virtual reality, including working on problem sets that require data science approaches and incorporate geographically, socially- and culturally-relevant research themes.
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TEAM MEMBERS: Kelly Gaither Rosalia Gomez
resource project K-12 Programs
Improving retention rates in postsecondary engineering degree programs is the single most effective approach for addressing the national shortage of skilled engineers. Both mathematics course placement and performance are strong graduation predictors in engineering, even after controlling for demographic characteristics. Underrepresented students (e.g., rural students, low-income students, first-generation students, and students of color) are disproportionately represented in cohorts that enter engineering programs not yet calculus-ready. Frequently, the time and cost of obtaining an engineering degree is increased, and the likelihood of obtaining the degree is also reduced. This educational problem is particularly acute for African American students who attended select high schools in South Carolina, with extremely high-poverty rates. As a result, the investigators proposed an NSF INCLUDES Launch Pilot project to develop a statewide consortium in South Carolina - comprising all of the public four-year institutions with ABET-approved engineering degree programs, all of the technical colleges, and 118 high schools with 70% or higher poverty rates, to pinpoint and address the barriers that prevent these students from being calculus ready in engineering.

This NSF INCLUDES Launch Pilot project will map completion/attrition pathways of students by collecting robust cross-sectional data to identify and understand the complex linkages between and behind critical decisions. Such data have not been available to this extent, especially focused on diverse populations. Further, by developing structural equation models (SEMs), the investigators will be able to build on extant research, contributing directly to understanding the relative impact of a range of latent variables on the development of engineering identity, particularly among African American, rural, low-income, and first-generation engineering students. Results of the pilot interventions are likely to contribute to the empirical and theoretical literature that focus on engineering persistence among underrepresented populations. Project plans also include developing a centralized database compatible to the Multiple Institution Database for Investigation of Engineering Longitudinal Development (MIDFIELD) project to share institutional data with K-12 and postsecondary administrators, engineering educators, and education researchers with NSF INCLUDES projects and beyond.
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TEAM MEMBERS: Anand Gramopadhye Derek Brown Eliza Gallagher Kristin Frady
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 Resource Centers and Networks
In this NSF INCLUDES Design and Development Launch Pilot the institutions of "Building on Strengths" propose to build and pilot the infrastructure, induction process, and early implementation of the Mathematician Affiliates of Color network. This network will consist of mathematicians of color from across academia and industry who want to invest time in, share their expertise with, and learn from students of color and their teachers. Building on Strengths will draw on basic needs cognitive theory to support these interactions and will focus narrowly on short and moderate term collaborations (from one month to a semester) between visiting mathematicians, students, and collaborating teachers that will involve three specific types of interactions: doing mathematics together as a habits-of-mind practice, talking about the discipline of mathematics and the experiences of mathematicians of color in that discipline, and relationship-building activities. The foundational infrastructure developed in the project will include systems for recruitment, selection and induction, a process for pairing affiliate mathematicians with classrooms, and support structures for the collaborations. To support the goals of the network a prototype virtual space will be developed in which real-time artifacts can be collected and shared from the classroom interactions. While Building on Strengths will pilot this program in the secondary context, once a viable model is established, scaling to K-16, as well as to other STEM fields, will be possible.

The research study in the project uses an exploratory sequential mixed-methods design and will be conducted in two phases. In the first, quantitative, phase of the study the following questions will be addressed: (1) Is the teacher-mathematician collaboration associated with a change for students in perception of basic human needs being met, mathematical or racial identities, or beliefs about mathematics or who can do mathematics? (2) Is the teacher-mathematician collaboration associated with a change for adults in perceptions of the role of basic needs or in adults' identities or beliefs about mathematics or who can do mathematics? In the second, qualitative, phase of the study, two types of interactions will be selected for in-depth qualitative study, identifying cases where groups of students experienced changes in their needs, identity, and beliefs. In this qualitative case-centered phase, the following questions will be explored: (1) What is the nature of the mentor-student interaction? (2) What aspects of the intervention do students feel are most relevant to them? (3) How did the implementation of the intervention differ from the anticipated intervention? The results of the study will help improve the infrastructure for, and better support the interactions between, mathematicians of color, students of color and their mathematics teachers; the outcomes will also shed light on how students experience their interactions.
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TEAM MEMBERS: Michael Young Maisha Moses Albert Cuoco Eden Badertscher
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 research Museum and Science Center Programs
Staff facilitators in museums and science centers are a critical but often overlooked component of the visitor experience. Despite assertions about the important role they play in visitor learning, there continues to be almost no research to understand staff facilitation in these settings or identify effective practices. To address these gaps, we conducted a design-based research study to describe the work of experienced museum educators and iteratively refine a model of staff facilitation to support family learning at interactive math exhibits developed through a prior project. The resulting
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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 Informal/Formal Connections
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.
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TEAM MEMBERS: Kimberly Fenn Susan Cook
resource evaluation Media and Technology
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 +
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resource project Media and Technology
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.
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TEAM MEMBERS: Kara Carpenter
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