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 …

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 …

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 …

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 …

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 …

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 …

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 …

Improving Bench Work Competence Through Qr Code Based E-Lkpd Featuring Sop Video And K3 Safety Checklist, Firman Muhadi Saputra, Marsono Marsono, Imam Muhtarom, Mingchang Wu

Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan

This study examines the use of a QR Code-based E-LKPD integrated with SOP videos and a K3 safety checklist in improving vocational students’ bench work competence. A pretest–posttest control group design was applied to 63 tenth-grade machining students at SMKN 1 Jenangan Ponorogo in the 2025/2026 academic year selected through purposive sampling. Data were collected using performance assessment observation sheets and written tests. The results show that both groups achieved the competent category, with the experimental class obtaining a slightly higher mean score (80.22) than the control class (77.07), However the independent t-test results indicate that the difference is not …

Comparative Analysis Of Artificial Intelligence (Ai) Implications For Active Learning And Assessment At Various Curricular Levels Of Stem And Health Sciences In Developed Versus Underprivileged Countries, Vinay Munlapudi, Santanu De

FDLA Journal

Today’s all-pervasive emergence of artificial intelligence (AI) necessitates a comprehensive evaluation of its role in education, especially for occupational disciplines in health sciences and STEM. AI has reshaped student learning and instructors’ navigation of the evolving, post coronavirus infectious disease (COVID-19) global academic landscape. This study aimed at encapsulating evidence-based AI implications for student-centered, active learning and assessment at various curricular levels of science, technology, engineering, mathematics (STEM) and health sciences education in developed versus underprivileged or less developed countries. An extensive, scoping review of 65 recent, scholarly publications was conducted over six months through diverse search engines (PubMed, Google …

The Role Of Trauma-Informed Care In Supporting At-Risk Students In Alternative Education, Jar'mel D. Taylor Dr.

Transformations

Students with traumatic experiences commonly fail to meet educational goals and control their emotions while also losing their involvement in classes. Standard trauma-informed care practices remain absent from numerous alternative educational institutions, which leaves their teaching community without adequate support to help traumatized students effectively. The application of Trauma-Informed Care (TIC) strategies toward student outcomes requires investigation to develop effective educational approaches that enhance school success. The researcher used qualitative exploratory case study methodology to study TIC practices in alternative education for Black and Brown adolescent students (aged 12–18) in Washington, D.C. Semi-structured interviews and a focus group with 16 …

Sociology Of Mind Trap In Nepal, Makar Bahadur Sarki

Transformations

Nepali society is multilingual, culturally and ethnically diverse. It holds great potential for development and thought. However, the existing mental traps in society are creating obstacles to fulfilling those potentials. Mental entrapment is a problem in which people follow someone's words with complete faith, just like someone who runs after a crow without touching their own ears after hearing that it has ears. This forces people to live in illusion. This leads to individuals mistrusting their own abilities and pushing society towards inaction. This situation is not only due to individual thinking, but is the combined result of social structural …

Rockin’ Rover On The Rainbow Road, Michael Kolta, Lawrence Burgee, Ying Yuan

Transformations

This paper presents a progressive series of age-appropriate lesson plans for grades K-12 that all use the same interdisciplinary activity to educate students about Science, Technology, Engineering, Art, and Mathematics (STEAM) simultaneously. Technology from Texas Instruments (TI) was employed including a TI Nspire graphing calculator that can run Python programs, a TI Innovator Hub, and a TI Rover. The TI Rover is a small, robotic car that has sensors and is controlled by the calculator via the Hub hardware interface. A Python program was developed that uses the color sensor in the Rover to detect the color on colored paper …

From Reluctance To Resilience: The Link Between Attitude And Growth Mindset In Calculus Students, Olivia Valente, Kathryn E. Pedings-Behling, Amy N. Langville

Journal of Educational Research and Practice

Many postsecondary students enter general education mathematics courses with negative attitudes, shaping their willingness to engage with the content. This study explores the relationship between students’ attitudes towards mathematics and their growth mindset, revealing effective strategies to enhance learning experiences, particularly for students who are reluctant learners. The research investigates two questions: (1) How do students’ Attitude Toward Mathematics Inventory (ATMI) scores and Growth Mindset Scale (GMS) scores relate? and (2) Do gender or course modality affect this relationship? This study addresses a gap in literature by examining how enjoyment, motivation, self-confidence, and perceived value connect with growth mindset. The …