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resource project Museum and Science Center Programs
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.
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TEAM MEMBERS: Katherine McMillan Culp ChangChia James Liu Janella Watson Delia Meza Kaitlin Donnelly Susan Letourneau Laycca Umer Catherine Cramer Stephen Uzzo John Archacki
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: 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 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 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 Professional Development, Conferences, and Networks
The purpose of this proposal is to convene scholars at a two-day conference to closely examine validity-related measurement issues, create a guidelines for the field of mathematics education research that addresses key ideas (e.g., validity, validity arguments, evidence for validity and measurement at-scale), and set a clear pathway for scholars to discuss quantitative measurement within mathematics education. Invitees will include a mix of young, older and diverse scholars in mathematics education research. Products include refereed journal articles along with a website.

The workshop will engage the Mathematics Education, Policy, Statistical, Psychometrics and other education research communities in examining and critiquing measurement validity evidence of mathematics education research with the long-term goal of increasing the quality of quantitative inference in mathematics education research (to include improvements in the training of doctoral students).
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TEAM MEMBERS: Jonathan Bostic Michele Carney
resource research Exhibitions
The REVEAL project is an NSF funded project to learn about how facilitation impacts family’s experiences of math exhibits. The goal of the project was to iteratively develop and refine a theoretical model of how staff facilitation deepens and extends family mathematical discourse at interactive exhibits. This model underwent rigorous testing and ultimately provided the evidence and research-based tools to support PD efforts for informal STEM educators. As part of this testing the learnings from developing at OMSI (Oregon Museum of Science and Industry, in Portland, Oregon) were applied in an
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resource research Exhibitions
This poster was presented at the 2016 Advancing Informal STEM Learning (AISL) PI Meeting held in Bethesda, MD on February 29-March 2. REVEAL is using a two-phase research design, including a phase 1 design-based research study followed by a phase 2 experimental study, to investigate and measure the impact of staff facilitation on family mathematical discourse at exhibits and identify factors that influence the outcomes of these interactions. The project has an emphasis on culturally responsive research and education approaches.
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resource research Professional Development, Conferences, and Networks
This poster was presented at the 2016 Advancing Informal STEM Learning (AISL) PI Meeting held in Bethesda, MD on February 29-March 2. The primary activity of Math in the Making will be an invitational workshop on April 30 and May 1, 2016 of researchers and practitioners in out-of-school mathematics and making at the New York Hall of Science.
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TEAM MEMBERS: Andee Rubin
resource project Public Programs
Portal to the Public: Expanding the National Network (PoP: ENN) is implementing around the county the successful NSF-funded Portal to the Public model in which researchers are trained to communicate and interact with the general public at informal science education (ISE) institutions about the research that they are conducting. The project, which follows on a thorough evaluation of the model at eight sites and current implementation at an additional fifteen sites, will incorporate twenty new ISE sites into the growing network, provide training and mentorship to ISE professionals on the use and adaptation of the PoP implementation manual and toolkits, and develop an enhanced network website that will serve as a communication and innovation hub. The work is responsive to the needs and activities of ISE organizations which continue to expand their missions beyond presenting to the public established science, technology, engineering and math (STEM) and are working to become places where visitors can also experience the process and promise of current research via face-to-face interactions with researchers. The project is expanding both the kind and number of institutions involved around the country and is facilitating their capacity to develop a knowledge base, share experiences and best practices.
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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