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resource project Public Programs
In partnership with the Pasadena and Los Angeles Unified School Districts, the Armory Center for the Arts will develop and implement comprehensive visual art-math and visual art-science curricula for grades two through five at Title I elementary schools. The curricula will be developed in conjunction with Armory teaching artists and educators, and will align with the Common Core Standards for math and science, and with the National Core Visual Arts Standards. The museum will deliver the program in 48 classrooms over a three-year period. Professional development, paired with in-class program modeling, will enable participating teachers to implement arts integration strategies into their teaching practice, with an overall goal of creating a sustainable and long-term impact on student learning. An external evaluator will oversee program assessment in the schools. The museum will post sample lessons from each curriculum online to demonstrate the style and scope of the program for possible use by additional school districts.
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TEAM MEMBERS: Julienne Fusello
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 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 project Media and Technology
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.
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TEAM MEMBERS: Gary Goldberger
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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