Mentoring is a widely accepted strategy for helping youth see how their interests and abilities fit with education and career pathways; however, more research is needed to better understand how different approaches to mentoring impact youth participants. Near-peer mentoring can be a particularly impactful approach, particularly when youth can identify with their mentors. This project investigates three approaches to near-peer mentoring of high-school-aged Hispanic youth by Hispanic undergraduate mathematics majors. Mentoring approaches include undergraduates' visits to high school classrooms, mathematics social media, and a summer math research camp. These three components of the intervention are aimed at facilitating enjoyment of advanced mathematics through dynamic, experiential learning and helping high school aged youth to align themselves with other doers of mathematics on the academic stage just beyond them, i.e., college.
Using a Design-Based Research approach that involves mixed methods, the research investigates how the three different near-peer mentoring approaches impact youth participants' attitudes and interests related to studying mathematics and pursuing a career in mathematics, the youth's sense of whether they themselves are doers of mathematics, and the youth's academic progress in mathematics. The project design and research study focus on the development of mathematical identity, where a mathematics identity encompasses a person's self-understanding of himself or herself in the context of doing mathematics, and is grounded in Anderson (2007)'s four faces of identity: Engage, Imagine, Achieve, and Nature. The study findings have the potential to uncover associations between informal interactions involving the near-peer groups of high school aged youth and undergraduates seen to impact attitudes, achievement, course selection choices, and identities relative to mathematics. It also responds to an important gap in current understandings regarding effective communication of mathematics through social media outlets, and results will describe the value of in-person mathematical interactions as well as online interactions through social media. The study will result in a model for using informal near-peer mentoring and social media applications for attracting young people to study and pursue careers in STEM. This project will also result in a body of scripted MathShow presentations and materials and Math Social Media content that will be publicly available to audiences internationally via YouTube and Instagram.
This Research in Service to Practice 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.
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.
DATE:
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TEAM MEMBERS:
Aaron WilsonSergey GrigorianXiaohui WangMayra Ortiz
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 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.
This award was provided as part of NSF's Social, Behavioral and Economic Sciences Postdoctoral Research Fellowships (SPRF) program and is supported by SBE's Developmental Sciences program and the Directorate for Education and Human Resources' (EHR) Advancing Informal STEM Learning program. The goal of the SPRF program is to prepare promising, early career doctoral-level scientists for scientific careers in academia, industry or private sector, and government. SPRF awards involve two years of training under the sponsorship of established scientists and encourage Postdoctoral Fellows to perform independent research. NSF seeks to promote the participation of scientists from all segments of the scientific community, including those from underrepresented groups, in its research programs and activities; the postdoctoral period is considered to be an important level of professional development in attaining this goal. Each Postdoctoral Fellow must address important scientific questions that advance their respective disciplinary fields. Under the sponsorship of Dr. Sandra D. Simpkins at the University of California, Irvine, this postdoctoral fellowship award supports an early career scientist exploring high-quality and culturally responsive, math afterschool program (ASP) practices for under-represented minority (URM) youth. Mathematical proficiency is the foundation of youth's STEM pursuits. Yet today, far too many youth do not pursue STEM based on a perception that they are "not good at math". Students need to engage in contexts that spark their interest and their continued mastery and growth. ASPs are settings for such dynamic opportunities, particularly for URM students such as Latinos who attend lower quality schools and do not feel supported. In college, URM students often struggle with uninspiring and culturally incongruent STEM learning environments. The intergenerational nature of university-based STEM ASPs, whereby younger students are paired with undergraduate (UG) mentors, are opportunities to support both K-12 and UG students' motivational beliefs in math and STEM more broadly. This project will examine these intergenerational developmental processes in the context of a math enrichment ASP located at a Hispanic-Serving Institution. By studying how ASPs can serve as an important lever for promoting URM students' access and success in STEM, this project seeks to meaningfully inform efforts to broaden the participation of underrepresented groups in these fields.
This project seeks to understand how participating in a math enrichment ASP supports both youth participants' and UG mentors' motivational beliefs in math; to describe high-quality and culturally responsive practices; and to understand how to support the effectiveness of youth-staff relationships. To accomplish these research objectives, data will be collected from both youth participants and UG mentors through multiple methods including surveys, in-depth interviews, participant-observations, and video observations of youth-staff interactions. This project will add to our understanding of university-ASP partnerships. Further, the knowledge gained from this study will impact the larger landscape of practice and research on STEM ASPs by 1) addressing critical gaps in the current literature on high-quality and culturally responsive STEM ASP practices and 2) informing ASP staff development training. Overall, this mixed methods project will provide critical and rich information on the ways that ASPs can effectively deliver on its promise of promoting positive development for all youth, especially URM youth who may need and benefit from these spaces the most. The invaluable insight garnered from this study will be disseminated to traditional academic audiences to advance knowledge, as well as to local, state, and national organizations to inform the larger landscape of practice in STEM ASPs.
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.
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.