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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: Dr. Darius Frelix Cynthia H. Sanchez Tapia Ha Nguyen
resource research Public Programs
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: Jay Gillen Maisha Moses Naama Lewis Alice Cook
resource project Professional Development, Conferences, and Networks
Growth in the US Latinx population has outpaced the Latinx growth in science, technology, engineering, and math (STEM) degrees and occupation, further widening the ethnic gap in STEM. Mathematics has often identified as a bottleneck keeping many youth, especially minoritized youth, from pursuing STEM studies. Unequal opportunities to develop powerful math assets explain differences in math skills and understanding often experienced by minoritized youth. Implementing culturally responsive practices (CRP) in afterschool programs has the potential to promote math skills and motivation for youth from minoritized groups. However, extensive research is needed to understand which culturally responsive informal pedagogical practices (CIPPs) are most impactful and why. This project aims to identify and document such practices, shed light on the challenges faced by afterschool staff in implementing them, and develop training resources for afterschool staff to address these challenges. 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.

The fundamental research questions addressed by the project focus on (1) which CIPPs matter most in the context of a STEM university-community partnership engaging Latinx youth, and (2) in what context(s) and under what conditions do these CIPPs relate to positive outcomes for both youth participants and college mentor/facilitator. A third aim is to build capacity of afterschool staff for implementing CIPPs in informal STEM afterschool programs. The first two aims are addressed through a mixed-methods research study which includes quantitative surveys and qualitative in-depth interviews with five cohorts of adolescent participants, parents, and undergraduate mentors. Each year, surveys will be collected from adolescents and mentors at four time points during the year; the in-depth interviews will be collected from adolescents, parents, and mentors in the spring. In total, 840 adolescents and 210 mentors will be surveyed; and 87 adolescents, 87 parents, and 87 mentors will be interviewed. The third aim will be addressed by leveraging the research findings and the collective knowledge developed by practitioners and researchers to create a public archive containing documentation of CIPPs for informal STEM afterschool programs and training modules for afterschool staff. The team will disseminate these resources extensively with informal afterschool practitioners in California and beyond. Ultimately, this project will lead to improved outcomes for minoritized youth in informal STEM afterschool programs across the nation, and increased representation of minoritized youth in STEM pursuits.
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TEAM MEMBERS: Alessandra Pantano Sandra Simpkins Cynthia Sanchez Tapia
resource project Public Programs
Many Black youth in both urban and rural areas lack engaging opportunities to learn mathematics in a manner that leads to full participation in STEM. The Young People’s Project (YPP), the Baltimore Algebra Project (BAP), and the Education for Liberation Network (EdLib) each have over two decades of experience working on this issue. In the city of Baltimore, where 90% of youth in poverty are Black, and only 5% of these students meet or exceed expectations in math, BAP, a youth led organization, develops and employs high school and college age youth to provide after-school tutoring in Algebra 1, and to advocate for a more just education for themselves and their peers. YPP works in urban or rural low income communities that span the country developing Math Literacy Worker programs that employ young people ages 14-22 to create spaces to help their younger peers learn math. Building on these deep and rich experiences, this Innovations in Development project studies how Black students see themselves as mathematicians in the context of paid peer-to-peer math teaching--a combined social, pedagogical, and economic strategy. Focusing primarily in Baltimore, the project studies how young people grow into new self-definitions through their work in informal, student-determined math learning spaces, structured collaboratively with adults who are experts in both mathematics and youth development. The project seeks to demonstrate the benefits of investing in young people as learners, teachers, and educational collaborators as part of a core strategy to improve math learning outcomes for all students.

The project uses a mixed methods approach to describe how mathematical identity develops over time in young people employed in a Youth-Directed Mathematics Collaboratory. 60 high school aged students with varying mathematical backgrounds (first in Baltimore and later in Boston) will learn how to develop peer- and near-peer led math activities with local young people in informal settings, after-school programs, camps, and community centers, reaching approximately 600 youth/children. The high school aged youth employed in this project will develop their own math skills and their own pedagogical skills through the already existing YPP and BAP structures, made up largely of peers and near-peers just like themselves. They will also participate in on-going conversations within the Collaboratory and with the community about the cultural significance of doing mathematics, which for YPP and BAP is a part of the ongoing Civil Rights/Human Rights movement. Mathematical identity will be studied along four dimensions: (a) students’ sequencing and interpretation of past mathematical experiences (autobiographical identity); (b) other people’s talk to them and their talk about themselves as learners, doers, and teachers of mathematics (discoursal identity); (c) the development of their own voices in descriptions and uses of mathematical knowledge and ideas (authorial identity); and (d) their acceptance or rejection of available selfhoods (socio-culturally available identity). Intended outcomes from the project include a clear description of how mathematical identity develops in paid peer-teaching contexts, and growing recognition from both local communities and policy-makers that young people have a key role to play, not only as learners, but also as teachers and as co-researchers of mathematics education.

This Innovations in Development project is funded by the Advancing Informal STEM Learning (AISL) program.
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TEAM MEMBERS: Jay Gillen Maisha Moses Thomas Nikundiwe Naama Lewis Alice Cook
resource project Informal/Formal Connections
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.
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TEAM MEMBERS: Aaron Wilson Sergey Grigorian Xiaohui Wang Mayra Ortiz
resource project Media and Technology
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.
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TEAM MEMBERS: Harry Mairson
resource project Summer and Extended Camps
The University of Texas at Austin's Texas Advanced Computing Center, Chaminade University of Honolulu (CUH), and the Georgia Institute of Technology will lead this NSF INCLUDES Design and Development Launch Pilot (DDLP) to establish a model for data science preparation of Native Hawaiian and Pacific Islander (NHPI) students at the high school and undergraduate levels. The project is premised on the promise of NHPI communities gaining access to, and the ability to work with, large data sets to tackle emerging problems in the Pacific. Such agency over "big data" sets that are relevant to Pacific issues, and contemporary skills in data science, analytics and visualization have the potential to be transformative for community improvement efforts. The effort has the potential to advance knowledge, instructional pedagogy and practices to improve NHPI high school and undergraduate students performance in and attraction to STEM education and careers.

The project team will work to: 1) Increase interest and proficiency in data science and visualization among NHPI high school and undergraduate students through a summer immersion experience that bridges computation and culture; 2) Build data science capacity at an NHPI serving undergraduate institution (CUH) through creation of a certificate program; and 3) Develop and expand partnerships with other organizations with related goals working with NHPI populations. The month-long summer training for 20 NHPI college students, and five NHPI high school students, takes place at CUH and focuses on data science, visualization, and virtual reality, including working on problem sets that require data science approaches and incorporate geographically, socially- and culturally-relevant research themes.
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TEAM MEMBERS: Kelly Gaither Rosalia Gomez
resource project K-12 Programs
Improving retention rates in postsecondary engineering degree programs is the single most effective approach for addressing the national shortage of skilled engineers. Both mathematics course placement and performance are strong graduation predictors in engineering, even after controlling for demographic characteristics. Underrepresented students (e.g., rural students, low-income students, first-generation students, and students of color) are disproportionately represented in cohorts that enter engineering programs not yet calculus-ready. Frequently, the time and cost of obtaining an engineering degree is increased, and the likelihood of obtaining the degree is also reduced. This educational problem is particularly acute for African American students who attended select high schools in South Carolina, with extremely high-poverty rates. As a result, the investigators proposed an NSF INCLUDES Launch Pilot project to develop a statewide consortium in South Carolina - comprising all of the public four-year institutions with ABET-approved engineering degree programs, all of the technical colleges, and 118 high schools with 70% or higher poverty rates, to pinpoint and address the barriers that prevent these students from being calculus ready in engineering.

This NSF INCLUDES Launch Pilot project will map completion/attrition pathways of students by collecting robust cross-sectional data to identify and understand the complex linkages between and behind critical decisions. Such data have not been available to this extent, especially focused on diverse populations. Further, by developing structural equation models (SEMs), the investigators will be able to build on extant research, contributing directly to understanding the relative impact of a range of latent variables on the development of engineering identity, particularly among African American, rural, low-income, and first-generation engineering students. Results of the pilot interventions are likely to contribute to the empirical and theoretical literature that focus on engineering persistence among underrepresented populations. Project plans also include developing a centralized database compatible to the Multiple Institution Database for Investigation of Engineering Longitudinal Development (MIDFIELD) project to share institutional data with K-12 and postsecondary administrators, engineering educators, and education researchers with NSF INCLUDES projects and beyond.
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TEAM MEMBERS: Anand Gramopadhye Derek Brown Eliza Gallagher Kristin Frady
resource project Professional Development, Conferences, and Networks
The purpose of this proposal is to convene scholars at a two-day conference to closely examine validity-related measurement issues, create a guidelines for the field of mathematics education research that addresses key ideas (e.g., validity, validity arguments, evidence for validity and measurement at-scale), and set a clear pathway for scholars to discuss quantitative measurement within mathematics education. Invitees will include a mix of young, older and diverse scholars in mathematics education research. Products include refereed journal articles along with a website.

The workshop will engage the Mathematics Education, Policy, Statistical, Psychometrics and other education research communities in examining and critiquing measurement validity evidence of mathematics education research with the long-term goal of increasing the quality of quantitative inference in mathematics education research (to include improvements in the training of doctoral students).
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TEAM MEMBERS: Jonathan Bostic Michele Carney
resource research Media and Technology
Formal readings and lectures are effective at delivering explanations, but the information they impart can be so densely packed and de-contextualized that students may not make full sense of the content. Arena and Schwartz found that video games have the potential to unlock the expository content delivered by lectures, textbooks, and diagrams.
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TEAM MEMBERS: Nicole Bulalacao
resource research Public Programs
Dabney and colleagues examine the relationship between university students’ reported interest in STEM careers and their participation in out-of-school time science activities during middle and high school. The researchers examined the specific forms of OST science activities associated with STEM career interest and the correlations among those forms.
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TEAM MEMBERS: Melissa Ballard
resource research Media and Technology
This poster was presented at the 2014 AISL PI Meeting in Washington, DC. Using STEM America (USA) is a two-year Pathways project designed to examine the feasibility of using informal STEM learning opportunities to improve science literacy among English Language Learner (ELL) students in Imperial County, California.
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TEAM MEMBERS: Edwin Obergfell Philip Villamor