In the first main section of this thesis, I investigate superirreducible polynomials over fields of positive characteristic and also over [set of rational numbers] and [set of integers]. An n-superirreducible polynomial f(x) is an irreducible polynomial that remains irreducible under substitutions f(g(x)) for g of degree at most n. I find…

This brief reports on findings and implications from an evaluation of the Saga Education Virtual Math Tutoring Program. Research has demonstrated that Saga provides an effective tutoring model when delivered in person. This research studied whether the program was also effective when delivered virtually. The findings reveal that, overall, students…

In this reflective essay, Laurie H. Rubel, Maren Hall-Wieckert, and Vivian Y. Lim present a design heuristic for teaching mathematics for spatial justice (TMSpJ) based on their development of two curricular modules, one about the state lottery and the other about financial services in a city. Spatial tools, including data visualizations on maps…

The Prospect Park Biodiversity Project was a SENCER collaboration project between the Departments of Biological Sciences, Chemistry, and Mathematics at the New York City College of Technology. The goal of this project was to enhance students' participation and learning in STEM disciplines through a civically engaged framework. The project utilized…

Contemporary research has suggested that in order for students to compete globally in the 21st century workplace, pedagogy must shift to include the integration of science and mathematics, where teachers effectively incorporate the two disciplines seamlessly. Mathematics facilitates a deeper understanding of science concepts and has been linked to…

This article presents a set of spatial tools for classroom learning about spatial justice. As part of a larger team, we designed a curriculum that engaged 10 learners with 3 spatial tools: (a) an oversized floor map, (b) interactive geographic information systems (GIS) maps, and (c) participatory mapping. We analyze how these tools supported…

One SENCER ideal is to connect science education and civic engagement by student learning through complex, unresolved public issues. Using this approach, we established a collaborative interdisciplinary project involving faculty and undergraduate students at NYC College of Technology. Over several semesters, students conducted literature search…

The opt-out movement, a grassroots coalition of opposition to high-stakes tests that are used to sort students, evaluate teachers, and rank schools, has the largest participation on Long Island, New York, where approximately 50% of the eligible students in grades three to eight opted out of the English Language Arts (ELA) and Mathematics tests in…

What would be one of the most sensible ways for a country to invest to achieve maximal economic growth? A recent study (Chetty, Friedman, & Rockoff, 2011) by economists at Harvard and Columbia Universities shows that better teacher quality results in significantly higher students' lifetime earnings. And investing in public school teachers…

Using structural equation modeling, this study found that prior reading skill was significantly associated with children's reported physical activity levels, which was in turn significantly associated with English language arts (ELA) and math achievement, among 526 3rd-grade students. The New York City Metropolitan area students completed the…

Is public housing bad for children? Critics charge that public housing projects concentrate poverty and create neighborhoods with limited opportunities, including low-quality schools. However, whether the net effect is positive or negative is theoretically ambiguous and likely to depend on the characteristics of the neighborhood and schools…

The Association for the Advancement of Computing in Education (AACE) is an international, non-profit educational organization. The Association's purpose is to advance the knowledge, theory, and quality of teaching and learning at all levels with information technology. The "EdMedia + Innovate Learning" conference took place in New York,…

Policy makers and analysts often view the reduction of student mobility across schools as a way to improve academic performance. Prior work indicates that children do worse in the year of a school move, but has been largely unsuccessful in isolating the causal effects of mobility. We use longitudinal data on students in New York City public…

In November 2014, the New York City Department of Education classified 94 low-performing schools as "renewal schools." New York's Renewal School Program (RSP), announced Mayor Bill de Blasio at the program's launch, represented a big change to the city's education policy: whereas former mayor Michael Bloomberg favored closing failing…

The Catalyst Scholarship Program at Hunter College of The City University of New York (CUNY) was established with a four-year award from the National Science Foundation (NSF) to fund scholarships to 40 academically talented but financially disadvantaged students majoring in four disciplines of science, technology, engineering and mathematics…