Science and Mathematics Education Commons^™

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 …

Effectiveness Of Tiered Supports In Mathematics, Dominique L. Brown

Dissertations

Mathematics proficiency has remained a persistent national challenge, with many students failing to meet grade-level expectations. This mixed-methods program evaluation examined the effectiveness of mathematics intervention strategies within Multi-Tiered Systems of Support (MTSS) for students in Grades 3–8. Guided by utilization-focused evaluation, the study explored educator perceptions, implementation practices, and system-level challenges. Quantitative data were collected through an anonymous survey (n = 19), and qualitative data were obtained from one semi-structured interview. Descriptive statistics and inductive coding were used for analysis, with extant data providing contextual support. Findings indicated that small-group instruction was perceived as highly effective; however, inconsistencies in …

1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, ..., Annemarie Torresen

Masters Theses

1

I invite you to see it and feel it and sit in it and breathe it in and

hold it in your lap. Art isn’t too scary, and neither is math.

2

bouncing between bounds of a binary

bippity boppity! let’s break brains and bread

balance or belly flop, what’s mine is yours:

bumptious and bumbling and barely able

i offer it broken and let you like it that way

Exploring Student And Teacher Perceptions Of Building Thinking Classrooms In Secondary Mathematics, Savanna Wolff

Masters of Education in Teaching and Learning

This action research study examined the perceived impact of a Building Thinking Classrooms framework on student engagement and participation in small-group discussion. The guiding research question explored both student and teacher perceptions of how the framework influenced classroom engagement. Data was collected through surveys, one-on-one interviews, focus group interviews, and classroom observations over a four-week period. Qualitative analysis identified four key themes: student agency and mathematical identity; mathematical communication and thinking; collaboration and group dynamics; and learning environment, structure, and engagement. Findings suggest that both students and the teacher perceived an increase through Building Thinking Classrooms in student engagement by …

Enhancing Hope In Mathematics From An East African Perspective, Howard Omukami

Institute for Educational Development, East Africa

No abstract provided.

“I’M So Hungry”: Assessing Stem Sensemaking Through Data-Informed Writing, Bailey Nafziger, Alesia Mickle Moldavan, Katie Brkich

Journal of STEM Teacher Education

To engage elementary learners in the complex task of STEM sensemaking, teachers must entice and inspire learners to ask questions, explore, and communicate their findings. This article shares a 5E/3D lesson designed and taught in our elementary science methods courses to model how preservice teachers can integrate literacy and mathematics into a science investigation for STEM sensemaking. We modified a traditional lesson on bird beak adaptations to have a differentiated, interdisciplinary writing component justified by data. We discuss why data-supported literacy is a non-negotiable in science education reforms and how teachers can differentiate tasks to make scientific writing more approachable …

Fostering A Growth Mindset In Mathematics: Faculty And Student Experiences, Yolanda G. Rush

Theses and Dissertations

According to the Center for Community College Student Engagement (2019), many students attending two-year institutions need productive persistence strategies, including the development of a growth mindset. Although some growth mindset interventions have been effective in improving academic achievement among students (Boaler, 2016; Canning et al., 2024) and persistence (Lewis, 2019) among students, especially those with developmental needs (Suh et al., 2019) and those in mathematics, little is known about the experiences of students and teachers (i.e., students’ perceptions of teachers’ intentions and implementation) as teachers work to foster a growth mindset culture (Murphy et al., 2021). In this dissertation, I …

Connections Between Mathematics And Chemistry: An Interdisciplinary Undergraduate Curricular Initiative, George Ashline, Bret Findley

Journal of Mathematics and Science: Collaborative Explorations

In this article, we describe an undergraduate curricular initiative involving mathematics and chemistry faculty and students. Supported by a grant from the National Science Foundation Scholarships in Science, Technology, Engineering, and Mathematics Program, a program designed to encourage the study of and connections between quantitative fields and life sciences, this interdisciplinary collaboration features undergraduate student research and involves the development of curricular connections between mathematics and chemistry. Through this initiative, we have created activities for calculus courses featuring chemistry applications as well as activities for chemistry courses showcasing mathematical concepts. After the implementation of these curricular enhancements, we gathered student …

Collaborative Problem-Solving (Cps) In Supporting Critical Thinking Skills: A Case Study On Quadratic Function Material, Buaddin Hasan, Arif Hidayatul Khusna

Australian Journal of Teacher Education

Theoretically, CPS can support students' critical thinking skills. However, more in-depth research is needed on how CPS can support students' critical thinking skills. This research aims to describe CPS in supporting students' critical thinking skills. Participants in this research were 24 10th-grade students consisting of 14 female students and ten male students. The 24 participants were then formed into 12 groups, with one group of two students. Data was collected by asking groups to solve a quadratic function problem. The research results show that CPS can support students' critical thinking skills because it provides opportunities for students to negotiate with …

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 …

A Comparison Of Mathematics Intervention Methods: Overcoming Learning Loss Caused By Covid-19, Adam Goosby

College of Education

The COVID-19 pandemic created unprecedented disruptions to the educational system and exposed weakness within the structures that resulted in measurable regression in student achievement across all academic domains, but most notably mathematics. The purpose of this study is to investigate the impact of two distinct methods of mathematics interventions provided to middle-grade students with the intent to begin to overcome the learning loss. Through the lens of the Expectancy-Value theory, the study emphasizes the importance of mathematics achievement and its role in building student capacity and establishing a growth mindset. The study employed a series of repeated-measures ANOVAs and a …

Exploring Commutativity In A Hindi Language Classroom, Kumar Gandharv Mishra

Journal of Humanistic Mathematics

Commutativity is an important concept in mathematics. However, not much emphasis is given to it in the elementary or secondary school curriculum, as there is a lack of interesting noncommutative examples at this level. Since most examples of binary operations provided deal with numbers, commutativity appears trivial. In this article we offer an interesting example of noncommutativity that is familiar to Indian school children from a different context. Students in India study a chapter based on the joining of vowels in Hindi grammar. This process is analogous to producing commutative as well as noncommutative operations. When we bring in mathematical …

Effect Of Parental Support On Learning Engagement In Mathematics Online Learning Environment: The Mediating Role Of Online Self-Regulated Learning Strategies, Malathi Letchumanan, Sharifah Kartini Said Husain, Ahmad Fauzi Mohd Ayub

Higher Learning Research Communications

This study examines the effects of parental support on learning engagement and the mediating roles of self-regulated learning (SRL) in mathematics online learning environments. A sample of 112 undergraduate students from the mathematics departments of two public universities in Malaysia participated in the study. We analyzed the data using descriptive analysis and partial least squares structural equation modeling (PLS-SEM), and the study findings indicate that parental support significantly predicts online self-regulated learning (OSRL). In addition, OSRL is a significant predictor of students’ engagement. The results also suggest that OSRL fully mediates the relationship between parental support and learning engagement. However, …

Setting Up Students For Success: Analysis Of Effectiveness Of Mathematics Placement, Jeff Carvell, Jason Ho, David Klanderman, Sarah Klanderman

University Faculty Publications and Creative Works

How do we e!ectively and equitably place students into math classes in a way that provides them the best chance of success? As many higher education institutions veer away from placement based on standardized testing, many departments are seeking placement alternatives that will properly support students. Additionally, math placement determines not only a student’s mathematics courses but also influences their progress in related fields, including physics, chemistry, engineering, and more. This paper will describe three di!erent existing placement systems at each of our liberal arts institutions as well as the a!ordances and constraints of each approach. Further, we analyze data …

Integrating Music Content Into The Secondary Mathematics Classroom: Facilitating The Process Of Designing Interdisciplinary Lessons, Denae Bumpus

Honors Projects

Many people enjoy music, and music has a multitude of connections to mathematics, so it makes sense for a mathematics classroom to incorporate musical elements into the instruction, but the literature has shown that many math teachers do not have a strong enough musical background to feel confident in incorporating music into the math class. Therefore, this research sought to provide a resource to help secondary mathematics teachers integrate age-appropriate musical applications to their mathematics lessons which connects standards of mathematics into standards of music. Specifically, the paper connects the Ohio Standards of Mathematics for Geometry with the course objectives …

Preparing To Bridge The Deaf Math Gap: Exploring Preparation Materials For Asl Interpreters In Math Education, Taylor Victor

Undergraduate University Honors Capstones

The gap in performance between hearing students and their mainstreamed deaf and hard of hearing (D/HH) peers who use ASL interpreters expands throughout various grade levels and is not a new issue, especially in mathematics. This delay in mathematical development has been prevalent for many decades, and it is still being determined at what level it begins and what the causes are. D/HH students' academic success is often connected to high-quality academic sign language interpreting (Jones, 2017). However, there are still many college-level American Sign Language (ASL) interpreting programs that are not focused on educational interpreting. This lack of focus …

The Effects Of A Two-Way Dual Language Program On The Educational Trajectory Of Hispanic Emergent Bilingual Students During The Impact Of The Covid-19 Pandemic: A Mixed-Methods Study, Jesus Jacob Villa

Open Access Theses & Dissertations

This explanatory mixed-methods study examines the impact of Dual Language Bilingual Education (DLBE) and Transitional Bilingual Education (TBE) programs on the academic achievement of Hispanic emergent bilingual students during and after the COVID-19 pandemic. With the U.S. Hispanic student population growing significantly, and emergent bilingual students historically underserved, this study addresses critical gaps in educational equity. Conducted in two school districts along the U.S. and Mexico border in Texas and New Mexico, the research explores how DLBE and TBE programs mitigated the pandemic's adverse effects on learning. This study analyzed quantitative data from standardized mathematics and language proficiency assessments for …

High School Students’ Sense Of Belonging In Math, Marie Louise Stevenson

Electronic Theses, Projects, and Dissertations

A student’s sense of belonging in math describes the extent to which a student feels that they are a member of their math community. It is important to study math sense of belonging because it is believed that when a student feels that they are a valued and respected part of their math community, they are more likely to exhibit higher participation and performance in their math class and take more math courses in high school and college. They also have an increased chance of pursuing a STEM career. In this study, we investigated the math sense of belonging of …

Insight And Illumination In Mathematical Learning: Exemplars Of Transitions To Understanding In The Classroom From Elementary To Graduate School, David Klanderman, Sarah Klanderman, James Turner

University Faculty Publications and Creative Works

Jacques Hadamard describes a four-stage epistemological process: preparation, incubation, illumination, and verification. Hadamard developed this scheme based upon Henri Poincaré’s reflections on the process that led to his discovery of Fuchsian functions (i.e., automorphic functions) which he described in his wonderful paper La Genese de la Creation Mathematique (Mathematical Discovery in English). Philosopher and theologian Bernard Lonergan builds on the writings of Aquinas to develop his theory of insight which elaborates the transition from incubation to illumination. Insight and illumination provide an analytical lens for transitional moments as students learn ever more abstract mathematical concepts. We offer exemplars of these …

Reinventing Mathematics Learning: An Exploration Of Undergraduate Mathematics Learning Post-Pandemic, Morgan R. Balesano

Honors Scholar Theses

In response to the COVID-19 pandemic, beginning in March 2020 nearly all secondary and undergraduate mathematics students were forced to adapt to new methods of learning and testing. As a result, the current experience for these mathematics students has changed vastly, as have the opinions and preferences of these students in terms of their learning. This study aims to identify instruction and testing resources and methods that students prefer and those that students find less beneficial in their current, post-pandemic educational experience. The past few years have seen a focus on the direct impacts of online learning during the pandemic, …

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 …

The Nctm/Cec Position Statement On Teaching Mathematics To Students With Disabilities: What’S In It And What’S Not, Sarah R. Powell, Marcia A. Barnes, Jenny Root, Elizabeth M. Hughes, Leanne Ketterlin-Geller, Gena Nelson, Megan Rojo, David H. Allsopp, Bradley S. Witzel, Jonté A. Myers, Margaret M. Flores, Erica S. Lembke, Matthew K. Burns, Jessica Namkung, Brian Poncy, Robin Parks Ennis, Lisa L. Morin, Tessa L. Arsenault, Christian T. Doabler, Vanessa Hinton, Rajiv Satsangi, Jennifer E. Kong, Bree Jimenez, Kaitlin Bundock, Robin S. Codding, Sarah King, Scott A. Dueker, Genesis Arizmendi, Deidre Gilley, Tasia Brafford, Elizabeth A. Stevens, Ben Clarke, Paul J. Riccomini, Corey Peltier

Education Faculty Articles and Research

A joint position statement issued in December 2024 by the National Council of Teachers of Mathematics (NCTM) and the Council for Exceptional Children (CEC) on teaching mathematics to students with disabilities lacked substantive, actionable, research-validated recommendations to support the work of practitioners in the field. Herein, we provide a rationale for ways in which the eight recommendations for teachers included in the position statement fell short, provided misleading information, and ignored the large body of research on providing mathematics instruction for students with mathematics disability or difficulties. In response, we offer seven actionable, research-validated recommendations, including: (a) use systematic, explicit …

Using Children's Picture Books To Teach Mathematical And Numeracy Concepts: An Exploration Of The Aesthetic Value Of Mathematics For Preservice Teachers’ Dispositions, Mellie Green, Lorraine Gaunt, Georgina M. Barton

Australian Journal of Teacher Education

Evidence suggests that preservice teachers tend to have negative dispositions towards the teaching of mathematics and/or numeracy. In response, this paper describes the work of three experienced teacher educators using high-quality children’s picture books to teach mathematical and/or numeracy concepts as well as foregrounding the aesthetic value of mathematics. The purpose of this type of reading is to support and improve preservice teacher dispositions towards mathematics and/or numeracy with children’s picture books. Using metalogue as methodology, the researchers discussed mathematical and/or numeracy concepts and explored the aesthetic value of mathematics within selected picture books. They used the Australian Curriculum’s General …

A Study Of Math 1 Students At Two Eastern High Schools In North Carolina, Employing An Explanatory Design, Anthony Mark Tracey

Doctor of Education Dissertations

This study examined the instructional experiences of Math 1 students in the Green Valley (pseudonym) County School District during the 2022-2023 academic year. Using an explanatory sequential mixed methods approach grounded in constructivism (Bruner, 1960; Vygotsky, 1978), behaviorism (Skinner, 1938), universal design for learning (CAST, 2021; Meyer et al., 2014), multiple intelligences (Gardner, 1983), and Piaget's (1954) stages of development, this study explored how students' lived instructional experiences impact academic outcomes. Data, analyzed descriptively and thematically in Qualtrics, revealed a widespread dissatisfaction among students regarding engagement, instructional pace, preparation, and classroom disruptions. Qualitative insights particularly underscore issues with a passive, …

School System And Student Performance: Examining Science And Mathematics Achievement In Pakistan, Sadia Muzaffar Bhutta, Sohail Ahmad, Aisha Naz Ansari

Institute for Educational Development, Karachi

Public and private school systems are the two largest providers of formal school education in Pakistan, differing significantly in their governance, resources, and practices. While previous studies showed differences in Student Learning Outcomes (SLOs), often favouring private schools, these comparisons remained largely descriptive. This paper compares elementary grade students’ performance in mathematics and science between public and private schools in Pakistan, accounting for factors such as grade level and geographical region. A cross-sectional survey was conducted with 15,391 students from grades 5, 6, and 8, selected through a multistage sampling technique from a total of­­ 153 public and private schools …

Using Geogebra To Foster Imagination And Creativity To Build Mathematics Confidence In A Stem World, Joseph M. Furner

Transformations

Math teachers can better prepare all student for a STEM world using computer software like GeoGebra to better prepare our youth for such high-tech careers like that of which Einstein was part of while also emphasizing and fostering creativity in the learning of mathematics. It is critical we have young learners who are confident in their ability to do math and be creative. Teachers today need to check dispositions toward mathematics and address math anxiety while building math confidence in their students. In an ever-advancing world of technology, math teachers need to incorporate such emerging technologies like GeoGebra into the …

Advantages And Disadvantages Of Technology In The Mathematics Classroom, Francena D. Gargaro

Transformations

The integration of technology into teaching pedagogy, particularly in mathematics instruction, has been a subject of significant. This paper examines the impact of utilizing technology for mathematics education. It reviews multiple categories of technological tools available for classroom use, including hardware, software, and online resources, and discusses their potential benefits and drawbacks. Positive aspects of technology integration include personalized learning experiences, increased engagement and collaboration, and enhanced visualization and conceptual understanding. However, challenges such as dependency on technology, loss of conceptual understanding, distraction, and the widening achievement gap due to inequity are also addressed. The paper explores the role of …

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 …

Designing An Educational Robotics Curriculum To Teach Mathematical Concepts While Fostering A Growth Mindset: A Self-Study, Lauren Harter

Electronic Theses and Dissertations

This study explores the development and implementation of a five-day curriculum designed to enhance students' understanding of algebraic concepts through the integration of educational robotics and growth mindset principles. The study is structured around three research questions that investigate influences on decision-making in curriculum design, the alignment of teaching intents with practices, and the impact of self-study on integrating algebra, robotics, and growth mindset principles. Findings reveal themes focused on the importance of research and collaboration, using the Understanding by Design (UbD) framework, intentional curriculum creation, starting somewhere, personal growth and self-reflection, and experiencing and embodying constructivism in action. The …