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resource research Informal/Formal Connections
This "mini-poster," a two-page slideshow presenting an overview of the project, was presented at the 2023 AISL Awardee Meeting.
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TEAM MEMBERS: Mary Carlson Katharine Banner Elizabeth Burroughs
resource research Informal/Formal Connections
Many studies have examined the impression that the general public has of science and how this can prevent girls from choosing science fields. Using an online questionnaire, we investigated whether the public perception of several academic fields was gender-biased in Japan. First, we found the gender-bias gap in public perceptions was largest in nursing and mechanical engineering. Second, people who have a low level of egalitarian attitudes toward gender roles perceived that nursing was suitable for women. Third, people who have a low level of egalitarian attitudes perceived that many STEM
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TEAM MEMBERS: Yuko Ikkatai Azusa Minamizaki Kei Kano Atsushi Inoue Euan McKay Hiromi M. Yokoyama
resource project Informal/Formal Connections
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 three-year project, Montana Models: Connecting Local and Disciplinary Practices through University-Community Partnerships, focuses on creating, implementing, and studying several learning outcomes associated with youth engagement in mathematical modeling contexts. The project builds on existing partnerships between the state's two research universities and Montana 4-H to target outreach to rural youth and bring them into a network of people who can inspire, support, and sustain STEM learning. Middle school and high school students from rural communities will be invited to a university campus for a residential modeling-based summer program l focused on mathematics and mathematical modeling. Activities at the summer program are designed to engage them in problems relevant to their own backgrounds and experiences and to honor their local funds of knowledge. The primary goal of Montana Models is to use mathematical modeling as a mechanism for bringing everyday mathematical practices already present in rural communities into contact with disciplinary practices. The project focuses on the following research questions: (1) What are the everyday mathematical practices in Montana communities? (2) How can everyday mathematical practices be leveraged and brought into contact with disciplinary practices in service of mathematizing meaningful questions within the community? (3) How do youth identify and get identified with respect to mathematics and with respect to their role in the world? (4) How does participation in project activities affect participants' knowledge of mathematical practices and content? The project uses social design experimentation, a hybrid research methodology which combines the traditions of design-based research with forms of inquiry that involve collaboration among participants, researchers, and other stakeholders, such as critical ethnography. Data sources include field notes from ethnographic observations, interviews, videos of students engaging in modeling activities, artifacts that show their mathematical work, and results from the Attitudes Towards Mathematics Inventory. Through its collaboration with 4-H, Montana Models targets outreach to rural youth across the state, especially those from groups that are typically underrepresented in STEM fields. The project is poised to impact ways in which formal and informal educators understand the knowledge bases that are already present in rural communities and how those bases may inform, support, and sustain STEM learning. Findings and deliverables will be disseminated through a public-facing website and through the 4-H infrastructure. This infrastructure includes Montana 4-H's Clover Communication Contest that will allow participating youth to showcase their projects. Research findings will be shared through local and national conferences and peer-reviewed publications. This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.
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TEAM MEMBERS: Mary Carlson Elizabeth Burroughs Frederick Peck Katharine Banner david thomas
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 research Public Programs
The Montana Girls STEM Collaborative brings together organizations and individuals throughout Montana who are committed to informing and motivating girls to pursue careers in STEM – Science, Technology, Engineering and Mathematics. The Collaborative offers professional development, networking and collaboration opportunities to adults who offer and/or support STEM programs for girls and other youth typically under-represented in STEM. The vision of Montana Girls STEM is that every young person in Montana has the opportunity to learn about STEM careers and feels welcome pursuing any dream they
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TEAM MEMBERS: Suzi Taylor Ray Callaway Cathy Witlock
resource project Professional Development, Conferences, and Networks
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. The National Association of Math Circles (NAMC) will convene the Math Circle-Mentor and Partnership (MC-MAP) Workshop in late 2016. The proposed MC-MAP workshop will build the field's understanding of the training content and mechanisms that enhance the knowledge and skill development of participants in Math Circles. The workshop will bring mentors from experienced Math Circle leaders together with novice Math Circle leaders to develop the expertise of the notice leaders and their group to develop their expertise in facilitating math circle activities and in organizing related events. The approximately 180 Math Circles currently operating across the nation enlist mathematics professionals to share their passion for mathematics with K-12 students, teachers, and the general public in contexts that emphasize exploration, problem solving and discovery. This initial conference and Math Circle trainings informed by this conference will help build a community of practice around Math Circles through which novice and existing leaders are connected, encouraged and inspired.

The MC-MAP workshop will include structured planning as well as guided observation and structured debriefing of a demonstration Math Circle sessions. The workshop design will be grounded in research related to effective adult learning and to discovery-based mathematics. The workshop will serve as a training prototype that will assist the National Association of Math Circles to identify effective training formats and materials for both experienced and novice Math Circle leaders. Pre- and post- conference surveys of Math Circle leaders will produce data to be used in planning and designing future trainings. The NAMC will share key findings from the workshop evaluation and workshop resources not only with its membership, but also with other mathematics K-12 outreach programs. Workshop materials will address recruiting and serving diverse participants in Math Circles, including girls and women, persons with disabilities, students from varied socioeconomic backgrounds and underrepresented minorities in STEM.
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resource project Media and Technology
The Virginia Institute of Marine Science (VIMS) and The Watermen's Museum, Yorktown, VA, will produce an underwater robotics research and discovery education program in conjunction with time-sensitive, underwater archeological research exploring recently discovered shipwrecks of General Cornwallis's lost fleet in the York River. The urgency of the scientific research is based upon the dynamic environment of the York River with its strong tidal currents, low visibility, and seasonal hypoxia that can rapidly deteriorate the ships, which have been underwater since 1781. Geophysical experts believe that further erosion is likely once the wrecks are exposed. Given the unknown deterioration rate of the shipwrecks coupled with the constraints of implementing the project during the 2011-2012 school-year, any delays would put the scientific research back at least 18 months - a potentially devastating delay for documenting the ships. The monitoring and studying of the historic ships will be conducted by elementary through high school-aged participants and their teachers who will collect the data underwater through robotic missions using VideoRay Remotely Operated Vehicles (ROVs) and a Fetch Automated Underwater Vehicle (AUV) from a command station at The Watermen's Museum. Students and teachers will be introduced to the science, mathematics, and integrated technologies associated with robotic underwater research and will experience events that occur on a real expedition, including mission planning, execution, monitoring, and data analysis. Robotic missions will be conducted within the unique, underwater setting of the historical shipwrecks. Such research experiences and professional development are intended to serve as a key to stimulating student interest in underwater archeological research, the marine environment and ocean science, advanced research using new technologies, and the array of opportunities presented for scientific and creative problem solving associated with underwater research. A comprehensive, outcomes-based formative and summative, external evaluation of the project will be conducted by Dr. L. Art Safer, Loyola University. The evaluation will inform the project's implementation efforts and investigate the project's impact. The newly formed partnership between the Waterman's Museum and VIMS will expand the ISE Program's objectives to forge new partnerships among informal venues, and to expand the use of advanced technologies for informal STEM learning. Extensive public dissemination during and after the project duration, includes but is not limited to, hosting an "Expedition to the Wrecks" web portal on the VIMS BRIDGE site for K-12 educators providing real-time results of the project and live webcasts. The website will be linked to the education portal at the Association for Unmanned Vehicle Systems International, the world's largest organization devoted to promoting unmanned systems and to the FIRST Robotics community through the Virginia portal. The website will be promoted through scientific societies, the National Marine Educators Association, National Science Teachers Association, and ASTC. Links will be provided to the Center for Archeological Research at the College of William and Mary and the Immersion Presents web portal--consultants to Dr. Bob Ballard's K-12 projects and JASON explorations. The NPS Colonial National Historic Park and the Riverwalk Landing will create public exhibits about the shipwreck's archeological and scientific significance, and will provide live observation of the research and the exploration technologies employed in this effort.
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TEAM MEMBERS: Mark Patterson
resource research Exhibitions
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 Nemirovsky Molly Kelton Bohdan Rhodehamel
resource research Public Programs
A midpoint progress poster on the Sparks of Discovery Project which connects UW-Madison NSF researchers to produce interdisciplinary science investigations that will be/have been implemented in a number of settings, including participants from underrepresented groups in science. Wisconsin Alumni Research Foundation (WARF) along with the Morgridge Institute for Research staff support the project and implement the education programs at the Wisconsin Institutes for Discovery. This poster was presented at the 2014 AISL PI Meeting in Washington, DC.
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TEAM MEMBERS: University of Wisconsin, Madison Travis Tangen
resource research Public Programs
The impact of two science enrichment programs on the science attitudes of 330 gifted high school students was evaluated using a multimethod, multiperspective approach that provided a more comprehensive evaluation of program impact on science attitudes than did previous assessments of science programs. Although pre-post comparisons did not indicate positive impact on science attitudes, other measures provided strong evidence of program effectiveness. Program benefits were greater among girls, those who had more supportive families and teachers, and those who entered the programs with greater
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TEAM MEMBERS: Jayne Stake Kenneth Mares
resource project Media and Technology
The NASA Science Research Mentoring Program (NASA SRMP) is an established mentoring program that presents the wonders of space exploration and planetary sciences to underserved high school students from New York City through cutting-edge, research-based courses and authentic research opportunities, using the rich resources of the American Museum of Natural History. NASA SRMP consists of a year of Earth and Planetary Science (EPS) and Astrophysics electives offered through the Museum’s After School Program, year-long mentorship placements with Museum research scientists, and summer programming through our education partners at City College of New York and the NASA Goddard Institute for Space Studies. The primary goals of the project are: 1) to motivate and prepare high school students, especially those underrepresented in science, technology, engineering and math (STEM) fields, to pursue STEM careers related to EPS and astrophysics; 2) to develop a model and strategies that can enrich the informal education field; and 3) to engage research scientists in education and outreach programs. The program features five in-depth elective courses, offered twice per year (for a total of 250 student slots per year). Students pursue these preparatory courses during the 10th or 11th grade, and a select number of those who successfully complete three of the courses are chosen the next year to conduct research with a Museum scientist. In addition to providing courses and mentoring placements, the program has produced curricula for the elective courses, an interactive student and instructor website for each course, and teacher and mentor training outlines.
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TEAM MEMBERS: Lisa Gugenheim