Science and Mathematics Education Commons^™

Motivating Second-Order Differential Equation Models Beyond The Spring–Mass System, Katherine E. Rutherford, John C. Borger

CODEE Journal

Students in introductory differential equations courses often learn to associate specific equation types with familiar physical systems. While this approach supports procedural fluency, it can inhibit transfer learning: students recognize familiar forms rather than construct models from first principles. This paper presents a modeling-first instructional approach designed to help students recognize the shared structure of second-order differential equations across diverse contexts. Students derive governing equations from fundamental physical laws for multiple systems, including an Inductor, Resistor, and Capacitor (LRC) electrical circuit, a simple pendulum, and viscous pipe flow. Through guided comparison, students identify common components such as inertia, damping, restoring …

A Mixed-Method Study To Determine The Relationships Between Academic Confidence, Anxiety And Success In College Physics I At A Small Midwestern University, Jason Fenske

Dissertations

The purpose of this mixed-method study is to examine the effect of a variety of factors on student success in College Physics I. These factors include the transfer of knowledge from both high school physics and prerequisite mathematics courses for use in physics as well as anxiety, academic confidence, physics confidence, and methods designed to address these. The experiment occurred in a medium-sized midwestern university in two different classrooms. The results of this experiment showed that there is a direct correlation between mathematics confidence and physics confidence and therefore between these and student success. The study found that students who …

Scientific Uncertainty As Political Aggression: A Manifesto For Those Who Value Science And Want To Save It From State And Corporate Control, Stephen Demeo

Publications and Research

A manifesto is an opportunity to publicly express strongly held beliefs about a topic that is personally important to an author. It is analytical as it is creative. “Scientific Uncertainty as Political Aggression” is a manifesto that intersects science and politics. It urges those interested in science to examine two different but related topics: scientific uncertainty in measurement—what it is, how it is determined, why it’s important— and the magnification of uncertainty through legal and linguistic tactics used by right-wing politicians and politically supported corporations.

For some time now, the Republican Establishment has cast excessive doubt on scientific findings through …

Shifting To Using Desmos Or Geogebra Graphing Calculators In High School Mathematics Classrooms, Nancy Lin

Dissertations, Theses, and Capstone Projects

Most high school math classrooms in Long Island use the Texas Instruments TI-84+ CE graphing calculator in the three Regents math courses. Texas Instruments holds approximately 80% of the market share of the international graphing calculator market. At a manufacturer's suggested retail price of $150 per TI-84+ CE, an inequitable situation exists for math learning, as underfunded schools and students from lower socioeconomic backgrounds cannot afford to purchase one for home use. Such students have less experience using the handheld graphing calculator when they take high-stakes math exams. Through case studies of four suburban school districts in New York that …

Introducing The Math Narrative Project, Liza Bondurant, Sarah Salisbury, Darolyn Flaggs, Belinda Edwards, Uchenna Miles, Daniel Kaufmann

Publications

Whether you teach calculus to engineering students, algebra to future teachers, or developmental math to first-generation college students, the students in your classroom carry narra- tives about mathematics—about whether they belong, wheth- er it matters, and whether asking for help is safe. You carry narratives too. We authors are mathematics educators who work across university classrooms, secondary schools, and teacher preparation programs in Mississippi, Georgia, Texas, and Pennsylvania. In this piece, we introduce the Math Nar- rative Project (2026), a professional development initiative led by the Branch Alliance for Educator Diversity ([BranchED], n.d.) that we participated in as field testers. …

What Makes An Analogy Effective For Students’ Learning Of Mathematics? Conceptualising Analogy Effectiveness For Teaching Mathematics, Vesife Hatisaru, Steven Richardson

Research outputs 2022 to 2026

Analogies are commonly used in mathematics teaching as a means to promote understanding of new potentially abstract concepts, by linking them to well-understood contexts. Despite strong intuition that analogies are helpful in supporting students’ learning of mathematics, there is a lack of agreement on how to objectively judge the utility or conceptual affordances of these analogies. In this paper, we aim to conceptualise how to assess the effectiveness of an analogy by employing Gentner’s structure-mapping theory to analogies and explore two teacher-made analogies (the ‘child-mother’ and the ‘machine’) for learning the formal definition of a function as illustrative examples. By …

Solving For X: Centering Black Girls’ Experiences In Mathematics Education, Natasha A. Fortes

Graduate Doctoral Dissertations

Black girls can grow up, attend school, and move through their math classes without ever feeling seen as capable mathematical thinkers. Their teachers may not affirm their brilliance. Their voices may even go unheard. Math classes may not be a space where they can imagine themselves belonging. These experiences do not reflect ability. Instead, they reflect on the conditions in which they are expected to learn. This study centers the voices of Black girls and asks what they deserve from their mathematics education and instructors to develop a mathematics identity. The study is grounded in Black feminist traditions and draws …

The Difficulty In Defining The Construct Of Perseverance, Davon W. Ferrara, Linda W. Jones

Papers

Perseverance is a character virtue necessary for flourishing in the STEM disciplines; however, there are competing definitions of perseverance in scientific literature, which makes measuring the trait and researching its impact difficult. This work provides a review of the definitions of construct found within the literature and compares it to conflated terms such as grit, persistence, resilience, and self-efficacy that have related, but distinct meanings. Finally, we summarize the role of perseverance in STEM and what factors may influence its formation.

The authors gratefully acknowledge support from the Belmont Formation Collaborative and the Formation Scholars Cohort for Character Research and …

Pedagogical Moves For Provoking Prospective Teachers’ Intellectual Needs While Connecting Abstract Algebra And Secondary Mathematics, Kaitlyn Stephens Serbin, Estrella Johnson, Sthefanía Espinosa

School of Mathematical & Statistical Sciences Faculty Publications

Researchers have exhibited ways in which prospective secondary mathematics teachers can connect content from abstract algebra with secondary mathematics in ways that reshape their understanding of secondary mathematics and thereby support their teaching of that content. However, there has been very little research done on what mathematics teacher educators can do in the classroom to help prospective teachers make connections between abstract algebra and secondary algebra in ways that support such reshaping. This study focuses on a mathematics teacher educator who guided a class of prospective teachers to connect properties of algebraic structures with equation-solving procedures by directing their focus …

Pre-Service Mathematics Teachers’ Perceptions Of Equity And Interactive Digital Tasks: Implications For Initial Teacher Education, Kate Roscioli, Liza Bondurant

Publications

Interactive digital tasks have the potential to aid mathematics educators in providing equitable mathematics learning experiences. However, research indicates that mathematics educators may not be aware of how interactive digital tasks can promote equitable teaching practices. This study reports on a design-based research project exploring pre-service teachers’ perceptions of equity and interactive digital tasks. Over three cycles of design, implementation, evaluation, and revision, 57 pre-service teachers participated; this article focuses on data from the third cycle, involving 25 pre-service teachers. Using lesson analyses grounded in the Equity-centered Transformative Technology Lesson Analysis Tool (EqT-tech LAT; Suh et al., 2022), we …

How Planning For Engineering Instruction Supported Culturally Responsive-Sustaining Pedagogy For Prek–12 Teachers, Kristen V. Napolitano, Amanda M. Gunning, Meghan E. Marrero

Journal of Pre-College Engineering Education Research (J-PEER)

With the wide adoption of the Next Generation Science Standards across the United States and an increased focus on growing a diverse engineering workforce, learning to teach precollege engineering has become more important than ever. Yet limited precollege engineering certification pathway exists, leaving preK–12 teachers to integrate engineering with few resources or professional learning support. In high-need districts, where teachers are already underresourced and stretched thin, engineering may not make its way into the classroom at all. As a result, access to engineering and other STEM opportunities is disproportionately low among Black and Brown and/or low-income students in these communities, …

Fast-Track Ode: A Student-Centered, Game-Based Summer Differential Equations Course, Chamila D. Malagoda Gamage

CODEE Journal

This article describes a student-centered and game-based redesign of an Elementary Differential Equations course taught during a six-week summer session. In this compressed setting, students had to move through the standard course content quickly while still developing procedural fluency, conceptual understanding, and confidence with applications. To support these goals, the course used real-time feedback tools, collaborative problem solving, applications connected to students' fields, and mathematical games. The paper describes the course context, major activities, implementation details, and student feedback. Student responses suggest that the activities were well received and helped students stay engaged, participate regularly, prepare for exams, and see …

Designing Inclusive Stem Curricula: A Design-Based Study Of Teacher Learning And A Queer Inclusive Framework, Kyle Nolting

Electronic Theses and Dissertations

STEM (Science, Technology, Engineering, and Mathematics) education has historically marginalized queer identities, shaping inaccurate curricula and fostering unwelcoming classroom environments. To address this, my research uses design-based research to investigate the design of queer-inclusive STEM curricular resources. I partnered with in-service secondary STEM teachers amidst a series of professional development courses to co-create curricular resources. My research is grounded in queer theory, using a Gender Inclusive Framework to collaboratively develop inclusive design principles. My findings revealed a strong desire by teachers for more authentic and fluid representations of gender and sexuality in STEM curricula, particularly beyond the biological science discipline. …

A Bibliometric And Descriptive Analysis Of The Disciplinary Affiliations Of Research About Students With Disabilities In College-Level Science Education, Tongriang N. Daspan M.Ed, Aaron C. Wenger Phd, Brandy Pleasants Phd

Journal of Science Education for Students with Disabilities

Despite the global emphasis on equity and the need for inclusive science education, students with disabilities (SwDs) encounter persistent barriers in college-level science learning environments. While prior research has explored isolated challenges faced by SwDs, few studies have examined how these challenges vary across science disciplines. Yet, science education research is often situated within distinct disciplinary traditions, such as biology education research or geoscience education research, known collectively as Discipline-Based Education Research (DBER). Understanding the disciplinary distribution of research on SwDs is essential to identifying gaps and fostering cross-disciplinary learning. This study maps trends and patterns in the disciplinary affiliations …

Remixing Dialogue: A Case Study On Perceptions Of Hip Hop Pedagogy In A Professional Learning Course, Kelly J. Thelen

Dissertations, Theses, and Projects

This qualitative case study examines how teachers’ decision-making and professional autonomy shift while participating in a Hip Hop Pedagogy Professional Learning course supported by structured FIXIT (Lo & Wachter, 2023a, 2023b, 2023c, 2023d; Wachter & Lo, 2024) game-facilitated dialogue in a rural, culturally and linguistically diverse Midwest community. Grounded in Freire’s (1970) Critical Pedagogy, Ladson-Billings’ (1995) Culturally Relevant Pedagogy, Culturally Sustaining Pedagogy (Paris and Alim, 2017), and Adult Learning Theory (Knowles et al., 2005), the study explores the reclamation of agency by teachers in a time of constrained creativity and educator autonomy shaped by strict policy environments, an emphasis on …

Imsa Summer Symposium 2026, Student Inquiry And Research(Sir)

IMSAloquium Event Booklets

For nearly four decades, IMSA has worked to advance the human condition through educational innovation. The Summer Symposium is our annual showcase for the research projects that were conducted in IMSA’s experiential learning programs between May and August. These programs include Student Inquiry and Research (SIR), IN2 Business Internships, and the Student Research and Experiential Learning Opportunity (SRELO) program. For the first time, we are also excited to welcome IMSA Research, Inquiry Skills, and Experimentation (RISE) students to present at the Summer Symposium.

Imsa Summer Symposium 2026, Student Inquiry And Reserach Reserach (Sir)

IMSAloquium Event Booklets

For nearly four decades, IMSA has worked to advance the human condition through educational innovation. The Summer Symposium is our annual showcase for the research projects that were conducted in IMSA’s experiential learning programs between May and August. These programs include Student Inquiry and Research (SIR), IN2 Business Internships, and the Student Research and Experiential Learning Opportunity (SRELO) program. For the first time, we are also excited to welcome IMSA Research, Inquiry Skills, and Experimentation (RISE) students to present at the Summer Symposium.

Cover Design

Luke Berryman

A Modeling Scenario For Cooling A Hot Vehicle In Florida, Jared Bunn, Bernadette Mullins, Elizabeth Hale, Jaeyoun Oh

CODEE Journal

This paper presents a group project assigned in a Calculus 2 course that has students work to develop, analyze, and draw conclusions about a modeling scenario for cooling a hot car. Using a modeling-first approach, instructors supported the students in class throughout the beginning of the project, enabling the groups to complete the remainder of the project on their own. Students used parameter estimation to tune their models to provided data: one for windows being up, and one for windows being down. This project provides an example of how modeling can be introduced early in a calculus course, rather than …

Equitable Science Instruction For Diverse Learners: Differentiation With Consideration For Multilingual Students, Alicia Reyelts

Masters Projects

Multilingual learners (MLs) continue to experience persistent achievement gaps in science, often due to the linguistic demands of academic language and the limited availability of instructional supports within general education classrooms. As classrooms become increasingly diverse, science teachers require practical instructional resources that promote equitable access to rigorous, standards based learning while supporting students' language development. This master's project addresses this need through the development of a differentiated seventh-grade chemistry unit aligned with the Michigan Middle School Next Generation Science Standards (NGSS). The project is grounded in the principles of differentiated instruction (DI), drawing upon the work of Tomlinson as …

Impact Of Taped Problems Intervention Modification On Children With Deafness, Clyniece Hodge

Electronic Theses and Dissertations

Children with hearing loss are at an increased risk of experiencing setbacks in various areas of life, including academic performance and employment opportunities. Academically, they are likely to experience poor academic achievement in reading, as well as in mathematics (ASHA, 2013). In comparison to gifted hearing students and average-ability hearing students, students with hearing loss are at a higher risk of low mathematics performance (Hassan & Mohammed, 2019). Despite these known challenges and risk factors, limited research has been conducted to identify effective intervention strategies for improving mathematical outcomes among this population. As such, this study aimed to evaluate the …