The goal of the project is to advance understanding of basic questions about learning and teaching through the development of a theory of embodied mathematical cognition that can apply to a broad range of people, settings and activities. The investigative team brings together expertise from a range of quantitative and qualitative research methodologies. A theory of embodied mathematical cognition empirically rooted in classroom learning and workplace practices will broaden the range of activities and emerging technologies that count as mathematical, and help educators to envision alternative forms of bodily engagement with mathematical problems.
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TEAM MEMBERS:
Ricardo NemirovskyRogers HallMartha AlibaliMitchell NathanKevin Leander
resourceresearchMuseum and Science Center Exhibits
The purpose of this study was to explore whether the notion of activity frames might be a useful alternative to sociomathematical norms to help describe the behaviors of family members at interactive math exhibits. In this study, activity frames are defined as contextspecific, emergent understandings or expectations, either implicit or explicit, about the nature and goals of family and staff interactions at math exhibits (Pattison et al., in review; Pattison, Gontan, & Ramos-Montañez, in review). Researchers questioned not only whether activity frames could describe family behaviors, but also
Purpose: An estimated 5 to 8% of elementary school students have some form of memory or cognitive deficit that inhibits learning basic math. Researchers have identified several areas where children with math learning difficulties struggle. These include a strong sense of number facts to quickly and accurately perform operations on single digit numbers, the use of strategies to solve problems which have not yet been memorized, a sense to figure out whether or not an answer is reasonable, and self-monitoring to assess one's own efficacy and understanding. To support students with math learning difficulties in grades 1 to 4, this project team will develop a series of apps for touch-screen tablets that encourage single digit operational fluency, conceptual understanding, strategy awareness, and self-understanding.
Project Activities: During Phase I project in 2012, the research team developed a prototype of the single digit addition game, following an iterative process incorporating feedback from teachers and students having difficulty with math. Nineteen students participated in a pilot study, and the researchers found that the prototype functioned well and that users were engaged by the game. In Phase II, the team will build and refine the back end system, design and develop the teacher website, and create content for games in subtraction, multiplication, and division. Researchers will carry out a pilot test of the usability and feasibility, fidelity of implementation, and promise of the game to improve learning. Students in first to fourth grade identified by teachers as having the greatest difficulty with math will participate in the pilot study. Half of the 120 students participating in the pilot study will be randomly selected to play the game as a supplement to classroom learning whereas the other half will not have access. Students in the control group will be provided the games at the end of the study. Analyses will compare pre- and post-test math scores.
Product: The web-based game, MathFacts, will include a series of apps for touch-screen tablet computers to support math learning for 1st to 4th grade students with major or sometimes intractable learning difficulties. In the game, students will learn content through mini-lessons, engage with problems in practice and speed rounds, and then receive formative feedback on their performance. Students will use and manipulate blocks, linker tubes, number lines, and interact with engaging pedagogical agents such as parrots and sloths. Students will set goals, advance to more challenging levels, and engage in competition. The game will be self-paced and will provide individualized formative assessment scaffolding when students do not know the answer to a question. A teacher management system will support professional development and will produce reports to guide instruction. The intended outcomes from gameplay will include increased fluency, conceptual understanding, strategy awareness, self-assessment, and motivation of basic math.
Purpose: There is concern about a decline in mathematics achievement scores among U.S. students during the middle school years. For example, while 4th grade U.S. students rank 8th overall on an international mathematics comparison, by 10th grade U.S. student's drop significantly to 25th in the same comparison. Some researchers posit that much of this decline relates to how math is taught in the U.S. and with how students become less engaged as learners in middle school. The purpose of this project is to develop a web-based game to engage 7h grade students in a narrative-based story which will apply learning of content and skills aligned to the Common Core State Standards (CCSS) in mathematics.
Project Activities: During Phase I in 2012, the team developed a functioning prototype and conducted usability and feasibility research with fourteen 7th grade students. Researchers found that the prototype functioned as intended and that students were highly engaged while playing the game. In Phase II, the team will develop a fully-functional user interface with animated characters, interactivity across student users, narrative scripts and accompanying art assets, 36 problem sets, and student and teacher dashboards and databases. After development is complete, a pilot study will examine the usability and feasibility, fidelity of implementation, and the promise of the game to improve math learning. The study will include 120 students in 6 classrooms in three schools, with one classroom per school randomly assigned to use the game and the other half assigned to a business-as-usual control. Analyses will compare student scores on pre and post mathematics measures.
Product: Empires is a web-based game that addresses 36 pre-algebra Common Core State Standards in mathematics for 7th and 8th grades. The game follows a storyline in a recreation of an ancient empire which is at the brink of agricultural revolution and of becoming a trade economy. As students play the game, they engage in math-focused activities to drive the action, such as taxing citizens to learn ratios and proportions, allocating resources to learn percentages, and measuring the distance and time between a neighboring empire by applying the principles of the Pythagorean Theorem. As a socially networked game, students will interact with other students in the class to complete trades that lead to encounters with different math problems. The game will include two helpful, funny, advisors who will scaffold learning through mathematical discourse, arguing over the next most important thing to do. The game design architecture will work on a wide range of computers, including desktops and iPads. A teacher's guide and companion website will provide guidance to classroom activities that complement the game.
This chapter reviews four projects that reflect the principles of design-based implementation research (DBIR) in an effort to highlight a range of relevant theoretical and methodological perspectives and tools that can inform future work associated with DBIR.The goal of this chapter is to highlight a range of relevant theoretical and methodological perspectives and tools that can inform future work associated with design-based implementation research (DBIR). As Penuel, Fishman, Cheng, and Sabelli (2011) described, DBIR entails engaging “learning scientists, policy researchers, and
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TEAM MEMBERS:
Jennifer RussellKara JacksonAndrew KrummKenneth Frank
resourceprojectProfessional Development, Conferences, and Networks
The Center for Advancement of Informal Science Education (CAISE), a cooperative agreement with the National Science Foundation Advancing Informal STEM Learning (AISL) program, is a partnership of the Association of Science-Technology Centers with faculty and professionals from the University of Pittsburgh Center for Learning in Out-of-School Environments (UPCLOSE), Oregon State University (OSU), the Great Lakes Science Center, KQED Public Media, advisors and other collaborators. CAISE works to support and resource ongoing improvement of, and NSF investments in, the national infrastructure for informal Science Technology Engineering and Mathematics (STEM) education. CAISE's roles are to build capacity and support continued professionalization for the field by fostering a community that bridges the many varied forms in which informal STEM learning experiences are developed and delivered for learners of all ages. To that end, CAISE activities also include: creating field-driven evidence databases about the impacts of informal STEM education; facilitating federated searches of those databases; furthering dialogue and knowledge transfer between learning research and practice; working to enhance the quality and diversity of evaluation knowledge and processes; and helping STEM researchers improve their efforts in informal STEM education, outreach and communication. For Principal Investigators (PIs) and potential PIs, CAISE provides resources that can assist in the development of evidence-based proposals. It also facilitates and strengthens networks through PI meetings, communications, and other methods that encourage sharing of deliverables, practices, outcomes and findings across projects. For the AISL Program at NSF, CAISE is assisting program officers in understanding the portfolio of awards, identifying the portfolio's impacts in key areas, and integrating the program's investments in education infrastructure.
This pathways project will study how audiences in public spaces, in this case those in a museum setting, relate to and make sense of large data displays. The project is preliminary to development of a traveling, hands-on exhibition enabling users to create and utilize representations of big data displays such as maps and charts. As the test case, the project will use science maps that provide an overview of science generally and specific areas of STEM, charting and exploring the history and future of science and technology. The data collection portion of the project will take place at the New York Hall of Science, the Marian Koshland Science Museum, COSI in Columbus, Ohio, and WonderLab Museum in Bloomington, Indiana. The project will create a foundation for the design of museum exhibits and educational programs that teach museum visitors how to explore, engage and make better sense of big data. The project is potentially transformative because big data is becoming ubiquitous and making sense out of large data displays is necessary in order to understand big data sets.
Expanding on the encouraging outcomes of an NSF-funded conference, this three-year project led by the National Center for Science and Civic Engagement at Harrisburg University of Science and Technology, in collaboration with the Koshland Science Museum of the National Academy of Sciences, will explore and evaluate ways to support new collaborations between professionals in institutions of higher education and informal STEM education around areas of common interest. The primary goal is to develop the educational infrastructure to grow and efficiently sustain multiple cross-organizational partnership activities at the intersection of learning about science, society and civic engagement around such possible topics as energy, environment, genetics, earth resources, computers and ethics, nanotechnology, etc. The initiative is: 1) creating a joint organizing "secretariat" to provide communications and support through low-cost shared services for at least six partnerships around the country; 2) providing partnership support and technical assistance to seed the six national partnerships, and 3) sharing evaluation and analysis services across all the partnerships. The outcomes of the work pertain to improvements in professional knowledge and practice in higher education and informal science education, as well as the improvement of learning by undergraduates and by the general public.
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.
President Obama announced in April 2013 that the Corporation for National and Community Service (CNCS) would launch a STEM AmeriCorps initiative to build student interest in STEM. A RFA is currently being prepared to be released in the late fall of 2013. This project will engage in quick response research to identify an evaluation and research agenda that can begin to inform the program launch. Thus, the timeframe for informing the initial stages of STEM AmeriCorps is relatively short, and the creation of an evaluation and research agenda is very timely. The products from the RAPID proposal are: (1) a review of the evaluation and research literature on the use of volunteers and/or mentors to build students' interest in STEM; (2) to convene a workshop to identify evaluation and research priorities to guide the initiative; and (3) a summary evaluation agenda that identifies promising directions along with the strength of evidence around key issues.
Research in experimental and developmental psychology, cognitive science, and neuroscience, suggests that tool fluency depends on the merging of perceptual and motor aspects of its use, an achievement we call perceptuomotor integration. We investigate the development of perceptuomotor integration and its role in mathematical thinking and learning. Just as expertise in playing a piano relies on the interanimation of finger movements and perceived sounds, we argue that mathematical expertise involves the systematic interpenetration of perceptual and motor aspects of playing mathematical
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TEAM MEMBERS:
Ricardo NemirovskyMolly KeltonBohdan Rhodehamel
This multiplatform media and science center project is designed to engage audiences in humanity's deepest questions like the nature of love, reality, time and death in both scientific and humanistic terms. Project deliverables include 5 hour-long radio programs for broadcast on NPR stations, public events/museum exhibits at the Exploratorium in San Francisco, kiosks in venues throughout the city, and a social media engagement campaign. The audience of the project is large and diverse using mass media and the internet. But the project will specifically target young, online, and minority audiences using various strategies. The project is designed to help a diverse audience understand the impact of new scientific developments as well as the basic science, technology, engineering and math needed to be responsible, informed citizens. Innovative elements of the project include the unique format of the radio programs that explore complex topics in an engaging and compelling way, the visitor engagement strategy at the Exploratorium, and the social media strategy that reaches niche audiences who might never listen to the radio broadcasts, but find the podcasts and blogs engaging. The Exploratorium will be opening a new building in 2013 and will include exhibits and programs that are testing grounds for this project. This is a new model that aligns the radio content with exhibitions, social media, and in person events at the Exploratorium, providing a unique holistic approach. The project is designed to inspire people to think and talk about science and want to find out more. The evaluation will measure the impacts on the targeted audiences reached by each of the key delivery methods. Data will be collected using focus groups; intercept interviews with people in public places, and longitudinal panels. The focus will be on 5 targeted audiences (young adults, families with children, non-NPR listeners, underrepresented minorities, and adults without college experience). This comprehensive evaluation will likely contribute important knowledge to the field based on this multiple-platform collaborative model.