Peg + Cat is a popular broadcast television series, developed by The Fred Rogers Company and airing on PBS, in which a girl named Peg and her sidekick, Cat, solve everyday problems using mathematics, creativity, persistence, and humor. Peg + Cat: Developing Preschoolers’ Early Math Skills was a three-year project, funded by the National Science Foundation, that aimed to impact children’s interest and engagement with mathematics, as well as their development of positive social-emotional skills. The project supported early math learning via the creation of additional Peg + Cat episodes, online
Peg + Cat is a popular broadcast television series, developed by The Fred Rogers Company and airing on PBS, in which a girl named Peg and her sidekick, Cat, solve everyday problems using mathematics, creativity, persistence, and humor. Peg + Cat: Developing Preschoolers’ Early Math Skills was a three-year project, funded by the National Science Foundation, that aimed to impact children’s interest and engagement with mathematics, as well as their development of positive social-emotional skills. The project supported early math learning via the creation of additional Peg + Cat episodes, online
This Research Advanced by Interdisciplinary Science and Engineering (RAISE) project is supported by the Division of Research on Learning in the Education and Human Resources Directorate and by the Division of Computing and Communication Foundations in the Computer and Information Science and Engineering Directorate. This interdisciplinary project integrates historical insights from geometric design principles used to craft classical stringed instruments during the Renaissance era with modern insights drawn from computer science principles. The project applies abstract mathematical concepts toward the making and designing of furniture, buildings, paintings, and instruments through a specific example: the making and designing of classical stringed instruments. The research can help instrument makers employ customized software to facilitate a comparison of historical designs that draws on both geometrical proofs and evidence from art history. The project's impacts include the potential to shift in fundamental ways not only how makers think about design and the process of making but also how computer scientists use foundational concepts from programming languages to inform the representation of physical objects. Furthermore, this project develops an alternate teaching method to help students understand mathematics in creative ways and offers specific guidance to current luthiers in areas such as designing the physical structure of a stringed instrument to improve acoustical effect.
The project develops a domain-specific functional programming language based on straight-edge and compass constructions and applies it in three complementary directions. The first direction develops software tools (compilers) to inform the construction of classical stringed instruments based on geometric design principles applied during the Renaissance era. The second direction develops an analytical and computational understanding of the art history of these instruments and explores extensions to other maker domains. The third direction uses this domain-specific language to design an educational software tool. The tool uses a calculative and constructive method to teach Euclidean geometry at the pre-college level and complements the traditional algebraic, proof-based teaching method. The representation of instrument forms by high-level programming abstractions also facilitates their manufacture, with particular focus on the arching of the front and back carved plates --- of considerable acoustic significance --- through the use of computer numerically controlled (CNC) methods. The project's novelties include the domain-specific language itself, which is a programmable form of synthetic geometry, largely without numbers; its application within the contemporary process of violin making and in other maker domains; its use as a foundation for a computational art history, providing analytical insights into the evolution of classical stringed instrument design and its related material culture; and as a constructional, computational approach to teaching geometry.
This project is funded by the National Science Foundation's (NSF's) Advancing Informal STEM Learning (AISL) program, which supports innovative research, approaches, and resources for use in a variety of learning settings.
As the world is increasingly dependent upon computing and computational processes associated with data analysis, it is essential to gain a better understanding of the visualization technologies that are used to make meaning of massive scientific data. It is also essential that the infrastructure, the very means by which technologies are developed for improving the public's engagement in science itself, be better understood. Thus, this AISL Innovations in Development project will address the critical need for the public to learn how to interpret and understand highly complex and visualized scientific data. The project will design, develop and study a new technology platform, xMacroscope, as a learning tool that will allow visitors at the Science Museum of Minnesota and the Center of Science and Industry, to create, view, understand, and interact with different data sets using diverse visualization types. The xMacroscope will support rapid research prototyping of public experiences at selected exhibits, such as collecting data on a runner's speed and height and the visualized representation of such data. The xMacroscope will provide research opportunities for exhibit designers, education researchers, and learning scientists to study diverse audiences at science centers in order to understand how learning about data through the xMacroscope tool may inform definitions of data literacy. The research will advance the state of the art in visualization technology, which will have broad implications for teaching and learning of scientific data in both informal and formal learning environments. The project will lead to better understanding by science centers on how to present data to the public more effectively through visualizations that are based upon massive amounts of data. Technology results and research findings will be disseminated broadly through professional publications and presentations at science, education, and technology conferences. The project is funded by the Advancing Informal STEM Learning (AISL) program, which seeks to advance new approaches to, and evidence-based understanding of, the design and development of STEM learning in informal environments. This includes providing multiple pathways for broadening access to and engagement in STEM learning experiences, advancing innovative research on and assessment of STEM learning in informal environments, and developing understandings of deeper learning by participants. The project is driven by the assumption that in the digital information age, being able to create and interpret data visualizations is an important literacy for the public. The research will seek to define, measure, and advance data visualization literacy. The project will engage the public in using the xMacrocope at the Science Museum of Minnesota and at the Center of Science and Industry's (COSI) science museum and research center in Columbus, Ohio. In both museum settings the public will interact with different datasets and diverse types of visualizations. Using the xMacroscope platform, personal attributes and capabilities will be measured and personalized data visualizations will be constructed. Existing theories of learning (constructivist and constructionist) will be extended to capture the learning and use of data visualization literacy. In addition, the project team will conduct a meta-review related to different types of literacy and will produce a definition with performance measures to assess data visualization literacy - currently broadly defined in the project as the ability to read, understand, and create data visualizations. The research has potential for significant impact in the field of science and technology education and education research on visual learning. It will further our understanding of the nature of data visualization literacy learning and define opportunities for visualizing data in ways that are both personally and culturally meaningful. The project expects to advance the understanding of the role of personalization in the learning process using iterative design-based research methodologies to advance both theory and practice in informal learning settings. An iterative design process will be applied for addressing the research questions by correlating visualizations to individual actions and contributions, exploring meaning-making studies of visualization construction, and testing the xMacroscope under various conditions of crowdedness and busyness in a museum context. The evaluation plan is based upon a logic model and the evaluation will iteratively inform the direction, process, and productivity of the project.
As part of its overall strategy to enhance learning in informal environments, the Advancing Informal STEM Learning (AISL) program seeks to advance new approaches to, and evidence-based understanding of, the design and development of STEM learning in informal environments. This includes providing multiple pathways for broadening access to and engagement in STEM learning experiences, advancing innovative research on and assessment of STEM learning in informal environments, and developing understandings of deeper learning by participants. The goal of this project is to make 21st century quantum science comprehensible and engaging to non-expert informal adult learners. This project has strong potential to add new knowledge about the public's perception and understanding of quantum physics. This scientific content is often difficult for informal audiences to grasp, and there are relatively few accessible learning resources for a non- professional audience. The development of this online, interactive resource with short animations, graphics, and simulations has strong potential to fill this gap. It will develop a visually driven online resource to engage non-expert audiences in understanding the basics of quantum physics. The web design will be modular, incorporating many multimedia elements and the structure will be flexible allowing for future expansion. All content would be freely available for educational use. There is potential for extensive reach and use of the resources by informal adult learners online as well as learners in museums, science centers, and schools. Project partners are the Joint Quantum Institute at the University of Maryland and the National Institute of Standards and Technology, College Park. An independent evaluation of the project will add new knowledge about informal learners' perceptions and/or knowledge about quantum science and technology. An initial needs assessment via focus groups with the general public will be designed to find out more about what they already know about quantum physics topics and terminology, as well as what they want to know and what formats they prefer (games, simulations, podcasts, etc.). In person user testing will be used with early versions of the project online resource using a structured think-aloud protocol. Later in year 1 and 2, online focus groups with the general public will be conducted to learn what they find engaging and what they learned from the content. Iterative feedback from participants during the formative stage will guide the development of the content and format of the online resources. The Summative Evaluation will gather data using a retrospective post-survey embedded with a pop-up link on the Atlas followed by interviews with a subset of online users. Google Analytics will be used to determine the breadth and depth of their online navigation, what resources they download, and what websites they visit afterward. A post-only survey of undergraduate and graduate students who participated in resource development will focus on changes in students' confidence around their science communication skills and level of quantum physics understanding.
WNET, working with Education Development Center, will lead a small scale Innovations in Development effort to develop, research, and evaluate a new model to engage underserved families in STEM learning. The new endeavor, Cyberchase: Mobile Adventures in STEM, will build on the proven impact of the public media mathematics series Cyberchase and the growing potential of mobile technology and texting to reach underserved parents. WNET will produce two new Cyberchase episodes for 6-9 year olds, focused on using math to learn about the environment. Drawing on these videos and an existing Cyberchase game, the team will produce a bilingual family engagement campaign that will combine an in-person workshop followed by a 6-8 week "text to parent" campaign, in which parents receive weekly text messages suggesting family STEM activities related to the media content. The engagement model will be piloted in three cities with large low-income/Latino populations, along with one texting campaign offered without the workshop. This project will build knowledge about how to deploy well-designed public media assets and text messaging to promote fun, effective STEM learning interactions in low-income families. While past research on educational STEM media has tended to focus on children, especially preschool age, this project will focus primarily on text messaging for parents, and on learners age 6-9, and the wider scope of parent/child STEM interactions possible at that age.
The primary goal of the project will be to develop, test and refine a family engagement model that includes a face-to-face workshop, rich narrative Cyberchase content, and text-message prompts for parents to engage in short, playful STEM activities with children. The project team will explore which features of the mobile text-and-media program have most value for low-income and Latino families and prompt STEM learning interactions, including a comparison of workshop-based and text-only variants. The project will have three phases: needs assessment and preliminary design; an early-stage test in New York and development and testing of media; and three late-stage tests in contrasting locations, two including workshops and one "text-only," and analysis of findings. Ultimately, the project will share knowledge with the field about the opportunities and challenges of using mobile texting and public media to reach underserved families effectively. This knowledge will also inform a future proposal for production and outcomes research, which, based on the study results, may include a scaled-up version in ten locations and a ten-city Randomized Control Test. This project is funded by the Advancing Informal STEM Learning (AISL) program, which seeks to advance new approaches to, and evidence-based understanding of, the design and development of STEM learning in informal environments. This includes providing multiple pathways for broadening access to and engagement in STEM learning experiences, advancing innovative research on and assessment of STEM learning in informal environments, and developing understandings of deeper learning by participants.
Purpose: Purpose: This project team will fully develop and test Teachley Connect, a platform that syncs a variety of third-party math games to give elementary schools formative assessment data and intervention support. Mobile math games provide opportunities for students to access educationally-meaningful content in and out of the classroom and to supplement instruction. There are a number of examples of math apps that show promise for supporting and assessing student learning in different areas of mathematics, yet few apps in the marketplace provide meaningful data that teachers can use. Many games provide an overall score at the end of the session, but do not help teachers know what skills students are struggling with or how to provide additional support.
Project Activities: During Phase I, (completed in 2015), the team developed a prototype of Teachley Connect, which enables the secure transfer of game and learning data between third-party math games and the Teachley servers. At the end of Phase I, researchers completed a pilot study with 20 students and two teachers and demonstrated that the prototype operated as intended with important trends indicating that the system promotes student engagement and less time spent seeking help. In Phase II, the team will add additional third party math apps to the platform, strengthen the backend management system to tag user game-play data, and build out the teacher reporting dashboard to inform instruction and identify apps to address particular student and class needs. After development is complete, the research team will conduct a larger pilot study to assess the feasibility and usability, fidelity of implementation, and the promise of the Teachley Connect for teachers to use formative assessment data to inform classroom practice, select apps to address individual student needs, and support student math learning. The study will include 12 (grade K to 3) classrooms and randomly assign them into one of three groups: 1) apps only, 2) Teachley-enabled apps, or 3) Teachley-enabled apps + data. Researchers will compare pre-and-post scores of student's math learning, classroom observations, and teacher surveys/interviews.
Product: Teachley Connect will be a mobile tablet-based platform that uses games to give elementary schools rich formative assessment data and intervention support. Teachley Connect will permit students to continue playing exactly where they left off on any tablet. The platform will also connect apps into a single teacher dashboard, providing teachers detailed reports on student performance across games, with insights for informing individual or whole group instruction. The platform will include teacher resources to support the alignment of game play with learning goals and to support implementation.
Purpose: 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.
Purpose: This project team will fully develop and test Cyberchase Fractions Quest, a web-based mathematics game for students in grade 3 and 4. Research shows that inadequate understanding of fractions can persist from early grades through higher education, and that success in fractions predicts future success in mathematics and other STEM subjects.
Project Activities: During Phase I (completed in 2016), the team developed a prototype of Cyberchase Fractions Quest, including an interactive number line game with four levels of challenges, and a tool to scaffold learning through hints and provide encouragement as students progress. At the end of Phase I, the research team conducted a pilot study over one week with 60 grade 4 students, half of whom were randomly assigned to use the prototype and half assigned to paper-based fractions activities. Results revealed that the prototype functioned as intended, that students were engaged during gameplay, and that from pre- to post-test, students using the prototype increased significantly in their knowledge of number line problems compared to the control group. In Phase II, the team will finalize the design, artwork, and animation, the formative and summative assessment component, and learning management system. After development is complete, the researchers will carry out a pilot study to assess the usability and feasibility, fidelity of implementation, and promise of the game to improve student learning of fractions over a 5-week period. The study will include four classrooms of grade 3 students, two of which will be randomly assigned, to use the games to supplement in-class lessons while the others will use paper-based activities. The researchers will compare pre-and-post scores for student learning of fractions. The study will also track teacher implementation.
Product: The final product is Cyberchase Fractions Quest—a math game based on the storyline of PBS children's television series, Cyberchase. In the game, students in grades 3 and 4 will apply learning fractions within three contexts: areas and regions (such as shapes), sets (groups of objects), and on a number line. The game will identify specific areas where students struggle and will introduce challenges to support individualized learning. Similar to other popular game apps, student will receive immediate feedback from one to three stars based on how well they perform on each challenge as well as in-game rewards as they progress toward mastery. The game will include teacher resources for classroom implementation, and an educator dashboard presenting results.
Mathematics is the foundation of many STEM fields and success in mathematics is a catalyst for success in other scientific disciplines. Increasing the participation of women and other under-represented groups in the mathematics profession builds human capital that produces a diverse pool of problem solvers in business and industry, research mathematicians, faculty at all levels, and role models for the next generation. Existing support and enrichment programs have targeted women in mathematics at different stages in their undergraduate and graduate education, with different strategies to building community, creating a sense of belonging, and promoting a growth mind set. These strategies challenge some of the most common obstacles to success, including isolation, stereotype threat, not committing to mathematics early enough, and imposter syndrome. Acknowledging the diversity among women in terms of socio-economic background and educational background, this project proposes to examine the effectiveness of these programs through the lens of two primary questions: (1) Which elements of these programs are most critical in the success of women, as a function of their position along these distinct diversity axes?, and (2) which features of these programs are most effective as a function of the stage of the participant's career? These questions are guided by the rationale that a better understanding of, and improved pathways by, which programs recruit and retain undergraduate and graduate women in mathematics has the strong potential to increase the representation of women among mathematics PhDs nationwide.
This project seeks to increase and diversify the number of professional mathematicians in the United States by identifying and proliferating best practices and known mechanisms for increasing the success of women in mathematics graduate programs, particularly women from under-represented groups. The PIs on this proposal, all of whom are leaders of initiatives that have been active for nearly two decades, will work with experts in management, data collection and reporting, and communications to address the following three challenges: (1) develop a common system of measuring the effectiveness of each element in these initiatives; (2) develop a process for effective, collective decision making; and (3) create connections between existing activities and resources. This project is both exploratory research and effectiveness research. The project team first will explore the contextual factors that serve to support or inhibit female pursuit of mathematics doctorates by interviewing a variety of women who were undergraduate mathematics majors in the past, as well as current professional mathematicians. They then will use this information to better understand the most effective features of various current and past initiatives that are trying to increase the participation of women in advanced mathematics. A key stakeholder meeting will develop a process for effective, collective decision-making, to utilize what the project team learns from the interviews. The leadership team will develop a website with discussion board and social media components to highlight best practices and facilitate a virtual community for women interested in mathematics. Finally, a distillation of program elements and their targeted effectiveness will inform the selection of interconnected activities to test on a scalable model. These prototypes will be implemented at several sites chosen to represent a diversity of constituencies and local support infrastructure.
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TEAM MEMBERS:
Judy WalkerAmi RadunskayaRuth HaasDeanna Haunsperger
This project will capitalize on the power of story to teach foundational computational thinking (CT) concepts through the creation of animated and live-action videos, paired with joint media engagement activities, for preschool children and their parents. Exposure at a young age to CT is critical for preparing all students to engage with the technologies that have become central to nearly every occupation. But despite this recognized need, there are few, if any, resources that (1) introduce CT to young children; (2) define the scope of what should be taught; and (3) provide evidence-based research on effective strategies for bringing CT to a preschool audience. To meet these needs, WGBH and Education Development Center/Center for Children and Technology (EDC/CCT) will utilize an iterative research and design process to create animated and live-action videos paired with joint media engagement activities for parents and preschool children, titled "Monkeying Around". Animated videos will model for children how to direct their curiosity into a focused exploration of the problem-solving process. Live-action videos will feature real kids and their parents and will further illustrate how helpful CT can be for problem solving. With their distinctive visual humor and captivating storytelling, the videos will be designed to entice parents to watch alongside their children. This is important since parents will play an important role in guiding them in explorations that support their CT learning. To further promote joint media engagement, hands-on activities will accompany the videos. Following the creation of these resources, an experimental impact study will be conducted to capture evidence as to if and how these resources encourage the development of young children's computational thinking, and to assess parents' comfort and interest in the subject. Concurrent with this design-based research process, the project will build on the infrastructure of state systems of early education and care (which have been awarded Race to the Top grants) and local public television stations to design and develop an outreach initiative to reach parents. Additional partners--National Center for Women & Information Technology, Code in Schools, and code.org (all of whom are all dedicated to promoting CT)--will further help bring this work to a national audience.
Can parent/child engagement with digital media and hands-on activities improve children's early learning of computational thinking? To answer this question, WGBH and EDC/CCT are collaborating on a design-based research process with children and their parents to create Monkeying Around successive interactions. The overarching goal of this mixed-methods research effort is to generate evidence that supports the development of recommendations around the curricular, instructional, and contextual factors that support or impede children's acquisition of CT as a result of digital media viewing and hands-on engagement. Moving through cycles of implementation, observation, analysis, and revision over the course of three years, EDC/CCT researchers will work closely with families and WGBH's development team to determine how children learn the fundamentals of CT, how certain learning tasks can demonstrate what children understand, how to stimulate interest in hands-on activities, and the necessary scaffolds to support parental involvement in the development of children's CT. Each phase of the research will provide rich feedback to inform the next cycle of content development and will include: Phase 1: the formulation of three learning blueprints (for algorithmic thinking, sequencing, and patterns); Phase 2: the development of a cohesive set of learning tasks to provide evidence of student learning, as well as the production of a prototype of the digital media and parent/child engagement resources (algorithmic thinking); Phase 3-Part A: pilot research on the prototype, revisions, production of two additional prototypes (sequencing and patterns); Phase 3-Part B: pilot research on the three prototypes and revisions; and Phase 4: production of 27 animated and live-action videos and 18 parent/child engagement activities and a study of their impact. Through this process, the project team will build broader knowledge about how to design developmentally appropriate resources promoting CT for preschool children and will generate data on how to stimulate interest in hands-on activities and the necessary scaffolds to support parental involvement in the development of children's CT. The entire project represents an enormous opportunity for WGBH and for the informal STEM media field to learn more about how media can facilitate informal CT learning in the preschool years and ways to broaden participation by building parents' capacity to support STEM learning. This project is funded by the Advancing Informal STEM Learning (AISL) program, which seeks to advance new approaches to, and evidence-based understanding of, the design and development of STEM learning in informal environments. This includes providing multiple pathways for broadening access to and engagement in STEM learning experiences, advancing innovative research on and assessment of STEM learning in informal environments, and developing understandings of deeper learning by participants.
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 project will develop and research an integrated children's media and early childhood educator professional development strategy to prepare preschoolers with social-emotional skills that provide a foundation for later math learning success. The social-emotional skills include persistence, risk-taking, regulating anxieties, and collaborating to solve problems. Media components include Peg+Cat television episodes, videos, games and apps distributed through PBS broadcast and online. The integrated professional development model is designed to impact these educators' understanding of math and develop their skills for fostering in children a positive math mindset. Additional resources include a new Peg+Cat summer day camp at the Carnegie Science Center in Pittsburgh. The project partners include a media company, The Fred Rogers Company; researchers at the University of Pittsburgh and St. Vincent College; and the evaluator, Rockman et al. This project is unique in its focus on integrating social-emotional skills with early math learning and educator skill development. It will fill an important niche in the research literature and has the potential to impact media practice which is undergoing significant change as new digital tools and technologies become available for learning. Both standardized and researcher-developed measures will be used to assess learning outcomes, including early childhood educators' attitudes and quality of instruction, as well as children's interest and engagement in math. The research design includes iterative data collection to inform the development and refinement of the professional learning for teachers. The mixed methods approach will include classroom observations, interviews and focus groups with educators, and parent questionnaires. Key questions include: does exposure to Peg+Cat positively relate to children's use of social-emotional skills during math learning activities? Does educators' exposure to the professional development training improve their attitudes and abilities to infuse math instruction with social-emotional skills? Does having an educator who received Peg+Cat training impact children's engagement and interest in math?