Science and Mathematics Education Commons^™

Teacher Candidates’ Reflective Practices Of Mathematics Curriculum From The Lens Of Universal Design For Learning, Weichen Zhao

Journal of Practitioner Research

The Universal Design for Learning (UDL) framework encourages educators to proactively remove barriers in curriculum and instruction to increase accessibility for all learners. While UDL is often applied during lesson planning, it can also serve as a powerful tool for critically examining and revising existing mathematics curricula. Drawing on qualitative data from teacher candidates’ reflective journals and curriculum artifacts collected over two semesters, this study examines how guided reflection supported teacher candidates in identifying barriers, proposing inclusive adaptations, and deepening their understanding of equity-oriented mathematics instructional design. As a self-study grounded in participatory action research, the findings also informed the …

Exploring Researcher-Practitioner Authorship Collaboration In English, Foreign Language, And Mathematics Education, Rachel Cullen, Joseph Taylor, Matthew Laney, Mohamed Nouri

Journal of Practitioner Research

This study examined collaboration and bidirectional relationships between researchers and practitioners in the context of journal publications. Through exploration of research and practitioner journals in the areas of English, Foreign Languages, and Mathematics, we aimed to understand how authorship patterns and types of references illustrate the gap between research and practice. Findings indicate that collaboration between researchers and practitioners in the context of journal publications is minimal, and practitioner presence is scarce in research. The types of references included in publications are high quality regardless of authorship, but there is a problem of exposure that limits the research from reaching …

Mathematics Anxiety: Understanding Its Concept, Impact On Secondary Students’ Academic Performance And Career Prospects, And Effective Intervention Strategies, Sabiruddin Molla, Safwana Rashid, Saba Sultana

Numeracy

This study investigates the influence of mathematics anxiety on secondary school students’ academic performance and career pathway selection. Mathematics, often perceived as abstract and challenging, can evoke high levels of anxiety that affect both learning outcomes and career-related decisions. Data were collected from 106 students across two urban secondary schools in Kolkata. Findings revealed that students possessed a significant understanding of the concept of mathematics anxiety (t (105) = 8.48, p < .001, d = 0.82). A strong positive correlation was observed between mathematics anxiety and academic performance (r = .686, p < .001), indicating that elevated anxiety levels correspond with lower achievement. Additionally, a significant positive correlation (r = .475, p < .001) showed that mathematics anxiety influences students’ career pathway selection, with higher anxiety leading to avoidance of mathematics-related careers. The study highlights that negative attitudes toward mathematics often stem from perception rather than actual difficulty. Overall, the findings emphasize the need for innovative teaching strategies and targeted interventions to reduce mathematics anxiety and enhance students’ academic and career outcomes.

Analysing Numeracy Demands In Alberta Curriculum: A Focus On High School Mathematics, Asia Majeed, Kwesi Yaro

Numeracy

In recent years, numeracy has been recognized as a key educational priority across the curriculum in many international jurisdictions, including almost all Canadian provinces. In Alberta province, Canada, for example, the Teaching Quality Standard (TQS) #3 explicitly states that all teachers are responsible for fostering literacy and numeracy skills, regardless of the specific subject areas they teach. This expanded focus reflects a broader understanding of numeracy not merely as a subset of mathematical skills, but as a fundamental competency that supports informed participation in civic, economic, and personal life. This paper applies the 21st Century Numeracy Model (Goos et al., …

Improving Quantitative Support Across An Institution Using An Ecosystem Framework, Laura Muller, Melissa Eblen-Zayas

Numeracy

In our keynote address at the 2025 National Numeracy Network Annual Meeting, we introduced the framework we developed for considering four domains of an institution’s quantitative skills/reasoning support ecosystem that includes bridge programs with a quantitative component, approaches to assessing readiness, curricular on-ramps, and supplementary support. We believe this ecosystem framework has the potential to help campus leaders coordinate institutional efforts around student success in areas connected to students’ quantitative preparation. This keynote highlighted the idea that coordination of stakeholders and their engagement with domains of the ecosystem fall along a spectrum. We provide approaches for using this framework to …

Quantitative Reasoning In Calculus Iii: Advancing Student Engagement, Confidence, And Aspirations At An Hsi, Tanvir Prince

Numeracy

This study examines the impact of integrating Quantitative Reasoning (QR) into a Calculus III course at a Hispanic-Serving Institution (HSI) on student engagement, confidence, and aspirations. The course is offered at Hostos Community College in the South Bronx. It incorporated QR-focused projects on economic inequality, environmental pollution, and access to healthcare. These projects allowed students to apply advanced calculus concepts to real-world social issues. A pre- and post-survey design was employed to assess changes in students’ mathematical confidence, perceptions of relevance, and career and educational goals. Results showed statistically significant gains in confidence and in the belief that advanced math …

Toward Fairer And More Equitable Numeracy Measurement: Improvements To The Quantitative Reasoning For College Science Assessment, Vonna L. Hemmler, Isaac Rosenthal, Kate Follette, Catherine Sarosi, Erin Galyen, Sanlyn Buxner, Jackson Carter, Samantha Maynard, Sarah Bunnell

Numeracy

Numeracy has become an increasingly important 21st-century skill that, due to the relationship between math and science, is often formally developed at the college level in general education science courses. These courses serve a diverse group of students, many of whom have historically experienced science teaching, curriculum, and assessment on the margins. The well-documented biases of assessments in particular against Individuals of Color (IoC) have inspired us to approach numeracy for social justice in our work from this angle, and in this paper, we detail our efforts to revise our validated numeracy assessment to ensure it more fairly and equitably …

Mathematics And Growth Mindset: A Systematic Review And Meta-Analysis Of Interventions At The Post-Secondary Level, Sean E. Murphy

USF Tampa Graduate Theses and Dissertations

Growth mindset interventions have been implemented in academic settings for over three decades (C. S. Dweck et al., 1995a). One academic field where growth mindset may be most needed is mathematics, as it is not unusual for a student to claim, “I’m not a math person.” Notably, no meta-analysis of mindset interventions in post-secondary mathematics classrooms existed prior to the current study. To close this gap in the literature, the present study included a systematic review and meta-analysis, drawing on two search methods: Boolean and snowballing. The results from both methods were screened using inclusion/exclusion criteria. Snowballing search was hypothesized …

Unskilled But Aware Of It: Understanding Self-Assessment By Estimating Guessing From Cognitive-Metacognitive Paired Measures, Edward Nuhfer, Steven Fleisher

Numeracy

We utilize concepts of numeracy including number sense, reading and interpreting graphs, basic probability and statistics, and reasoning to estimate guessing and verify our earlier findings on human self-assessment as replicable. Our field study employed a low-stakes paired measures assessment (11,229 scores from the validated Science Literacy Concept Inventory and postdicted global self-assessment ratings generated upon completion of the Inventory) in conjunction with a five-category taxonomy of self-assessment proficiency. We also simulated 11,229 random guessing responses, to model responses that disengaged, purely random-guessing participants should produce. At least 90% of participants sincerely engaged with the instruments of measure, self-assessed imperfectly …

Effectiveness Of Digital Learning Materials On Students' Achievement In Science: A Meta-Analysis, Bingo L. Aligo, Maricar S. Prudente

Journal of Global Education and Research

Researchers have been examining educational resources and content to enhance and support the learning experience. As technology continues to transform the way we learn and access information, digital learning materials have become increasingly popular in modern education. This study looked at how different kinds of digital learning materials affected science students’ learning achievement. The moderator variables used were grade level (kindergarten, primary, intermediate, and secondary), subject (biological sciences, general science, and physical sciences), and length of exposure (1 to 3 weeks, 4 to 6 weeks, and 10 to 12 weeks). A total of 14 studies were considered, involving 789 students …

High Ability, Hidden Gaps: Building Quantitative Reasoning Amongst Singapore’S Mathematically Literate, Rebecca M. Nichols

Numeracy

In Singapore, where primary and secondary students routinely top standardized worldwide mathematics examinations, a paradox emerges: when reaching university, many struggle to apply their skills critically in real-world contexts. This commentary examines the challenges and strategies involved in teaching quantitative reasoning (QR) to mathematically literate students in a top-ranking Singaporean university. While these students arrive well-trained in computation and procedural problem-solving, they often lack confidence and flexibility in ambiguous, data-driven decision-making. This article argues that fostering QR education is crucial not only for Singapore but for education globally, as QR skills underpin evidence-based reasoning within and across disciplines. Such an …

Textbook Content Analysis For Statistical Content Standards For 8th-Grade Math: Commercial Publishers, Curriculum Software Supplement, And An Open Educational Resource, Matthew M. O'Brien

USF Tampa Graduate Theses and Dissertations

This dissertation examined the vertical and horizontal content analysis of statistical content within current 8th-grade mathematics instructional materials to determine the extent to which students are provided with opportunity to learn high cognitive instances and the usage of the four phases of statistical problem-solving across two commercial publishers, one open educational resource, and one curriculum software supplement. All previous analyses of statistics education content textbooks have only examined textbooks from commercial publishers or those published by national governments. The horizontal content textbook analysis investigated the textbook's background information and overall structure. The vertical content textbook analysis examined the cognitive level …

Development And Initial Validation Of The Increasing Mathematical Processes Opportunities For Vital Engagement Instrument, Joseph A. Ours

USF Tampa Graduate Theses and Dissertations

Many undergraduate students struggle to learn college level mathematics. This may be because they have not developed their mathematical processes. Mathematical processes are the habits of mind of successful mathematicians and are how one learns and subsequently applies mathematics content. Five categories of mathematical processes are problem solving, reasoning and proof, communication, connections, and representation.

Students need opportunities to develop their mathematical processes. This is the foundation of high quality mathematics instruction. Many instructors, however, lack practical knowledge on how to enact a pedagogy that provides students with opportunities to engage in mathematical processes.

The purpose of this study was …

A Python Pipeline For Rapid Inversion Of Gravity Data Aimed At Early Career Researchers: Application To The Lost River Fault, Idaho, Bradford C. Mack

USF Tampa Graduate Theses and Dissertations

Gravity data and modeling can be used to create a 3D view of basin and fault geometries, a valuable tool for seismic hazard assessment. Additionally, access to a high-speed, easy-to-use modeling workflow will enable more researchers to supplement their work with a new method and allow students to be exposed to modeling earlier in their academic careers. The primary goals of this work are to create a widely usable 3D gravity and basin model, to create an introduction to modeling teaching module for undergraduate geology students, and to apply the model to the northernmost two segments of the Lost River …

Preservice Elementary Teachers’ Perceptions Of The Incorporation Of An Ecojustice Framework In An Undergraduate Stem Integration Course, Rita G. Ortiz

USF Tampa Graduate Theses and Dissertations

Environmental education across the K-12 science curriculum lacks critical examination of human and ecological relationships, particularly in relation to science, technology, engineering, and mathematics (STEM) education. While the Next Generation Science Standards include environmental topics within their disciplinary core ideas and many schools offer environmental science courses, this gap can be addressed in teacher preparation programs, particularly for those teaching younger students. Ecojustice centers on socioecological topics by addressing cultural assumptions we, as humans, live by in relation to natural systems. Ecojustice education is a critical pedagogy that engages learners about social issues related to our current ecological crisis. This …

Coding Connections: Exploring Relationships Between Computer Science Learning And Mathematics Achievement In Secondary Education, Bradley Hayes

USF Tampa Graduate Theses and Dissertations

This dissertation in practice explores the intersection of computer science education, specifically computational thinking and programming, with mathematics achievement among 15-year-old students in selected English-speaking countries. The research addresses a gap in understanding whether skills developed through computer science can positively influence mathematics performance by assessing the extent to which learning in computer science transfers to mathematics.

To achieve this, a quantitative methodology was employed, incorporating pilot study data from a single school and large-scale survey data from the Programme for International Student Assessment (PISA) 2022. The analysis assessed the correlation between regular participation in programming activities and mathematics attainment, …

The Attitudes, Perceptions, And Motivations Of Student-Athletes In Intermediate Algebra, Alexandra Green

USF Tampa Graduate Theses and Dissertations

This research delves into the attitudes, perceptions, and motivations of student-athletes enrolled in Intermediate Algebra courses. It focuses on the distinct challenges they encounter in juggling academic and athletic responsibilities at a southeastern university in the United States. Employing a mixed-methods approach, the study gathered quantitative data through surveys to assess students' attitudes, perceptions, and motivations toward learning mathematics, as well as to determine the influence of their instructors on these factors. The qualitative segment provided deeper insights into their personal experiences, shedding light on their prior encounters with mathematics, their most memorable moments during the current course, and their …

Mathematics Teacher Preparation Reimagined: The Exploration Of Preservice Teachers Planning Culturally Responsive Mathematics Lessons Using Culturally Relevant Mathematics Tasks, Lakesia L. Dupree

USF Tampa Graduate Theses and Dissertations

Equipping teachers with the knowledge, skills, and dispositions deemed necessary to work with students from diverse populations is a documented need that plagues teacher education. Furthermore, the influx of students from diverse backgrounds enrolled in United States schools intensifies the need to prepare the future generation of teachers to be equipped to provide learning opportunities for each and every student in their classroom. This paper highlights the importance of culture and the integral place it holds when supporting current and future teachers with planning and subsequently enacting culturally responsive mathematics and culturally relevant mathematics tasks in their middle grades mathematics …

An Argument For Expanding Research On Quantitative Pedagogical Content Knowledge, Randall E. Groth

Numeracy

Pedagogical content knowledge (PCK) traditionally has been used in research concerning prospective and practicing classroom teachers. This essay argues that PCK is also relevant to other professions including those advancing quantitative reasoning (QR). To illustrate, the case of PCK for teaching QR is considered. Those in fields such as public health, journalism, meteorology, and government increasingly find themselves responsible for helping the public understand an ever-growing amount of quantitative information that has a bearing on societal well-being. Several examples illustrate how such professionals’ responsibilities require knowing prevalent QR patterns in society, strategies for fostering sound reasoning, and the general nature …

A Mathematics Textbook Analysis Of Content And Representation, Salam R. Ahmad

USF Tampa Graduate Theses and Dissertations

In this dissertation study, I recognized the crucial role of mathematics educators’ utilization of instructional materials for effective teaching. I highlighted the significance of content that is taught to students through relevant mathematical tasks and representations. Through a detailed examination, I analyzed the similarities and differences in two editions of a precalculus textbook published by the same publishing company. Following a state-wide mathematics textbook ban in Florida, the precalculus textbook was placed on the Florida Department of Education’s (FLDOE) Instructional Materials Not-Recommended List in 2020. It was later revised and subsequently included to the FLDOE Instructional Materials Adopted List document …

Examination Of The Delphi Method For Establishing A Quantitative Literacy Framework In Undergraduate Mathematics Course, Emily Elrod, Joo Young Park

Numeracy

The increased relevancy and importance of quantitative literacy (QL) have called for educational reform in undergraduate mathematics course offerings. However, lack of clear guidelines has led to wide variability in the content and outcomes of math courses meant to address QL. Therefore, having an expert consensus regarding content and outcomes for an undergraduate mathematics course focusing on QL would advance the quantitative literacy initiative in higher education. The authors propose the Delphi Method to aid in developing a framework based on expert opinions. The authors explain the Method and suggest the result of this process should yield a research-based framework …

Numeracy Tasks: Inspiring Transfer Between Concrete And Abstract Thinking Spaces, Taras Gula, Miroslav Lovric

Numeracy

In our paper we build a case for conceptualizing numeracy tasks as distinct from mathematical tasks (or at least as a special type of mathematical task), and for abstraction and interpretation as a set of key activities necessary for designating a numeracy task as being high-quality. We start with an attempt to tame the fuzziness of numeracy and its family members (including quantitative reasoning, quantitative literacy, mathematical literacy, and the word problem cousins) by outlining six areas of consensus gleaned from literature. These provide the foundation for a core mandate of numeracy. We then build our case for the distinctness …

Instructional Decision Making In A Gateway Quantitative Reasoning Course, Deependra Budhathoki, Gregory D. Foley, Stephen Shadik

Numeracy

Many educators and professional organizations recommend Quantitative Reasoning as the best entry-level postsecondary mathematics course for non-STEM majors. However, novice and veteran instructors who have no prior experience in teaching a QR course often express their ignorance of the content to choose for this course, the instruction to offer students, and the assessments to measure student learning. We conducted a case study to investigate the initial implementation of an entry-level university quantitative reasoning course during fall semester, 2018. The participants were the course instructor and students. We examined the instructor’s motives and actions and the students’ responses to the course. …

Threshold Concepts In Quantitative Reasoning, Judith Canner, Jennifer E. Clinkenbeard

Numeracy

The idea of “threshold concepts” has been used to identify discipline-based concepts that are critical to that academic area. Threshold concepts are often difficult for students to assimilate in a meaningful way but, once done, can be powerful for the learner. In general, threshold concepts are 1) transformative to learner thinking; 2) bounded by the discipline; 3) integrative with other concepts; and 4) irreversible once understood (Meyer and Land 2003). This paper presents five threshold concepts in quantitative reasoning (QR) developed by transdisciplinary faculty workgroups that may be applicable for non-mathematics disciplines as well. They are as follows: 1) QR …

Facilitating Effective Mathematical Teaching Practices In Preschool, Funda Gonulates, Jasook Gilbert

Journal of Global Education and Research

Initial seeds for mathematics literacy are planted during early childhood. Children benefit when they are exposed to and provided with opportunities for math experiences that emphasize their holistic development and not just mathematics proficiency in isolation. This way of viewing and presenting mathematics to young children requires teachers who are equipped with strong mathematics teaching skills. This study examined a 21-hour professional development series for public school preschool teachers on early numeracy, geometry, mathematical reasoning, and teaching pedagogies. This professional development series aimed to help preschool teachers incorporate effective mathematical practices and increase their comfort level in teaching mathematics. Participants …

The Contextualization Of Socioscientific Issues In An Age Of Accountability, Karrie A. Wikman

USF Tampa Graduate Theses and Dissertations

The overarching aim of this research was to ultimately support global resiliency through science education, preparing citizens to laudably negotiate the contentious socio-cultural science- and technology-based issues of modern times. Correspondingly, this mixed methods study aimed to move a large, diverse school district toward school environments conducive to contextualized socioscientific issues (SSI)-based learning. Of interest to teachers, administrators, and policymakers, the research investigated the effects of subsuming standards-based objectives within the SSI instructional framework on science achievement. Analysis of variance of multilevel assessment and classroom observation protocol data revealed that students experiencing the SSI intervention showed statistically significant gains in …

Procedures For Assessment Of The Marine Carbon System And Evaluation Of Access And Ocean Acidification Literacy In The Deaf Community, Loraine Martell-Bonet

USF Tampa Graduate Theses and Dissertations

One major goal of this dissertation addresses the need for improved laboratory procedures to measure chemical changes in seawater caused by the uptake of atmospheric CO2, especially in coastal environments. Due to the proximity of anthropogenic stressors in the coastal zone, the biogeochemical complexity of the CO2 system is more dynamic than the open ocean. My principal research objectives were addressed by developing methods for (1) improving the accuracy of pH measurements over a wide range of salinities and (2) investigating the acid-base properties of natural organics in the coastal ocean.

The accuracy of pH electrode calibrations is affected when …

Storying The Experiences Of A First-Year Teacher’S Mathematics-Related Teacher Identity With A Communities Of Practice Lens, Kelly Jean Navas

USF Tampa Graduate Theses and Dissertations

This longitudinal narrative inquiry explores the influences on a first-year elementary teacher’s mathematics-related teacher identity, employing a community of practice lens. Identity is a complex concept. In this study, identity is viewed as socially constructed through new experiences. These social interactions can be seen as an individual participates in their communities of practice. A mathematics-related teacher identity intertwines a teacher’s mathematical identity with their teacher identity. This can influence their classroom decisions, as well as their planning and implementation of mathematics lessons. To gain insights into the evolution of this mathematics-related teacher identity, I listened to the stories of Suzie, …

Catalyzing Change For Equitable Participation, Liza Bondurant, Seema Rivera

Journal of Practitioner Research

This manuscript discusses the Plan, Do, Study, Act (PDSA) cycles designed to help math teacher-researchers (TRs) create more equitable discourse patterns in their classrooms. Before the first cycle, TRs were asked to complete gender and race implicit assessment tests (IATs). Then, TRs planned and recorded a video of themselves facilitating a math discussion. Next, math teacher educators (MTEs) used the Equity QUantified In Participation (EQUIP) classroom observation instrument to code and analyze the discussion. Subsequently, TRs had an opportunity to reflect on the EQUIP and IAT results and set goals for making their teaching practices more equitable. MTEs provided guidance …

An Introduction To The Algebra Revolution, Art Bardige

Numeracy

Bardige, Art. 2022. The Algebra Revolution: How Spreadsheets Eliminate Algebra 1 to Transform Education; (Bookbaby) 135 pp. UNSPSC 55111505.

The Algebra Revolution: How Spreadsheets Eliminate Algebra 1 to Transform Education argues that Algebra 1 can be eliminated by teaching mathematics through spreadsheets. Such a change would eliminate the greatest roadblock to student achievement.