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The Relationships Between Flow, Mathematics Self-Efficacy, And Mathematics Anxiety Among International Undergraduate Students In The United States, Samah Abduljabbar

Dissertations

Problem

A worldwide problem, math anxiety is defined as an anxious state with an unpleasant feeling of tension characterized by fear of failing to achieve mathematics targets. Psychologically, math anxiety involves anxiety, tension, discomfort, nervousness, fear, shock, and insecurity. Math anxiety has been perceived as a key influencer of reduced math achievement, and avoidance of math-related careers. On the other hand, abilities, flow, interests, and psychological conditions contribute to student mathematics success. Belief in one's ability to perform a specific task boosts self-efficacy, which has been studied widely as a predictor of student academic performance. When students are interested in, …

Introduction To Contemporary Mathematics Syllabus (Spring 2023), Heather Nunnally

Open Textbooks and Course Materials

This syllabus was used in the Spring of 2023 for MATH 131: Introduction to Contemporary Mathematics. There were no textbook costs for this course; instead, MyOpenMath was used for the textbook and homework.

Arts-Based Interdisciplinary Music And Mathematics Tasks: Exploring Conceptualizations Of Equitable Creative Learning In Teacher Education, Alesia Mickle Moldavan, Graham Johnson

Georgia Educational Researcher

Preservice teachers need opportunities in teacher education courses to explore arts-based interdisciplinary learning that can inspire connections between communities of practice and allow learners to integrate concepts and imagine creative possibilities. This study reports on preservice teachers engaged in a workshop on arts-based interdisciplinary music and mathematics tasks. Data included surveys, task-related artifacts, and participant observations to examine how preservice teachers conceptualize and engage in such tasks. Three resonating themes were identified, revealing that preservice teachers generally thought (a) music and mathematics are more engaging and relatable in interdisciplinary contexts than when taught alone, (b) interdisciplinary music and mathematics tasks …

Spectral Sequences And Khovanov Homology, Zachary J. Winkeler

Dartmouth College Ph.D Dissertations

In this thesis, we will focus on two main topics; the common thread between both will be the existence of spectral sequences relating Khovanov homology to other knot invariants. Our first topic is an invariant MKh(L) for links in thickened disks with multiple punctures. This invariant is different from but inspired by both the Asaeda-Pryzytycki-Sikora (APS) homology and its specialization to links in the solid torus. Our theory will be constructed from a Z^n-filtration on the Khovanov complex, and as a result we will get various spectral sequences relating MKh(L) to Kh(L), AKh(L), and APS(L). Our …

How Instructional Strategies Impact Mathematics Self-Efficacy And Learning: Middle School Student Perceptions, Roni R. Herndon

University of the Pacific Theses and Dissertations

This research focuses on middle schools where more than 90% of the students are socioeconomically disadvantaged and where mathematics scores are below the state and national average. The study was conducted to better understand how students experience various instructional strategies and perceive these classroom practices to impact their learning and self-efficacy in mathematics. A hybrid mixed methods research design, with both embedded and explanatory sequential components, was employed. Quantitative results are based on survey responses from 94 seventh grade students. Qualitative results are based on five teacher and eight student interviews.

Informed by teacher interviews, the Instructional Strategies Impact Survey …

Mathematics In Indian Music: Examining Children’S Learning Process, Smita Guha

Journal of Global Awareness

There are many mathematical concepts found in music. Music is integrated into Indian culture. It is a common practice among children in India to engage in music lessons from a young age. The purpose of this study was to investigate the impact of Indian music on the cognitive development of children to understand or reinforce mathematics. Data was collected from three schools in Kolkata, India, through interviews, observations, and survey questionnaires. Six different music classes from three music schools were observed at different times. Observations were documented through pictures, video recordings, running records, and anecdotal records. To supplement these documentations, …

Using Cooperative Learning To Teach Mathematics To Help Promising Ell And All Students Develop Social Skills: A Case Study, Dr Joseph M. Furner

Transformations

This paper shares the story of Jung and how a gifted young student in mathematics learns social skills and shares knowledge and also helps to improve his own learning of the English language while sharing his understanding of mathematics with others. Students working together in math classrooms all benefit in many ways including language acquisition, problem solving, math achievement, social skills, cultural differences, and a shared sense of community in a classroom, when all working together for a goal in learning mathematics while also learning social skills so to fit in better within society. Cooperative learning plays a critical role …

The Effect Of Self-Paced Learning On Student Achievement And Motivation Within An Eighth-Grade Mathematics Classroom, Jacy Spencer

Dissertations, Theses, and Projects

A large mathematics achievement gap is a concern for researchers and educators alike, making effective teaching practices a main point of study for many researchers. Therefore, this action research, which used a quasi-experimental, quantitative research design, aimed to determine the effect of a self-paced learning environment on eighth-grade students’ mathematical achievement and motivation for learning. Baseline data on student motivation toward learning mathematics and mathematics achievement was collected before implementing a self-paced learning environment. After a mathematics unit was completed utilizing the self-paced learning model, data was collected on student achievement and motivation to determine effect of the learning environment. …

The Impact Of Problem-Based Learning On Students Critical Thinking Skills And Peer Relationships, Rebecca Ostby

Dissertations, Theses, and Projects

Education is a field that is constantly in motion. It is changing and adapting as educators and researchers try new concepts or ideas. One shift is implementing mathematics curriculum's that focus on problem-based learning. Throughout researching problem-based learning, there was a theme of its impacts on 21st-century skills that students possessed. Therefore, these research questions were created: How does problem-based learning in mathematics impact the critical thinking skills of middle school students? What is the impact of increased opportunities for critical thinking on students' collaboration with each other? Learners in an 8^th-grade Algebra 1 class took a Likert …

Examining Teaching Practices That Increase Student Mathematical Achievement, Jonah P. Zimmerman

Masters Projects

The current data in the United States surrounding mathematics shows that there are issues that must be addressed with teaching and learning math in the K-12 setting. In the perfect world, all students would meet grade level expectations in math prior to moving to another grade; however, this is not what is taking place. Students are not meeting proficiency, and as a result teachers and students alike are not gaining confidence in teaching/learning mathematics. This project looks at the Math Workshop Model as being one alternative to the more traditional teaching practices that are used today in the ABC School …

How The Perceived Value Of Education, Parental Influences, And Students' Perceived Success Affect Post-Graduate Decisions, Valerie Blanchard

Honors Projects in Mathematics

While technical education has been enhanced in many ways over the past few decades, college is still the preferred post-graduate path for many students and is the societal norm. This study will analyze the value that students view in their career path that leads them to make their post-graduate decisions. The goal of this research is to better understand why students pursue college and how these decisions come to be with specific attention paid to the impact of gender, interests, and self-efficacy. This understanding can educate others about the gravity of social norms and can start conversations about how to …

The History Of The Enigma Machine, Jenna Siobhan Parkinson

History Publications

The history of the Enigma machine begins with the invention of the rotor-based cipher machine in 1915. Various models for rotor-based cipher machines were developed somewhat simultaneously in different parts of the world. However, the first documented rotor machine was developed by Dutch naval officers in 1915. Nonetheless, the Enigma machine was officially invented following the end of World War I by Arthur Scherbius in 1918 (Faint, 2016).

A Comparison Of Logistic, Ridge, And Lasso Regression With Heart Failure Risk Data: Effects Of Sample Size, Predictor Correlation, And Predictor Weight On Outcome Accuracy, Mahmoud M. Aljuhani

Electronic Theses and Dissertations

Logistic Regression (LR), LASSO regression, and RIDGE regression are standard classification techniques for predicting a dichotomous output. Since these methods are applied for similar purposes and have different features, it is crucial to evaluate the performance of these methods under different controlled conditions. With this information, researchers can apply the optimal method for specific conditions.

Following previous research, which reported the effects of conditions such as sample size and multicollinearity on the performance of the classification methods, this research focused on the effects of when sample size, level of predictor collinearity, and predictor variable weight are controlled on the performance …

Recommendations For Course-Based Undergraduate Research Experiences In Mathematics, Rommel J. Miranda

The Mathematics Enthusiast

Course-based undergraduate research experiences (CUREs) have benefits for course instructors, undergraduate STEM students, and underrepresented students. CUREs consist of five essential components which include the use of science practices, discovery, broadly relevant or important work, collaboration, and iteration (Auchincloss et al., 2014). Over the past decade, a broad range of CUREs have been developed within and across STEM disciplines. However, resources to assist instructors to develop CUREs in mathematics are limited. The purpose of this paper is to provide an overview of the extant literature on course-based undergraduate research experiences (CUREs), especially in mathematics, to provide future directions for reforming …

Character First: Defining And Methodizing Character Depth, Jeff Mason

Criterion: A Journal of Literary Criticism

This paper explores the definition of "depth" in characters and provides a radical new definition, supplemented by an applicable model. By looking into significant literary theory, contemporary works of story, and even elements of mathematics, this paper advances our understanding of characters and how they create meaning in stories.

The Effects Of The Avid Program On Rural Student Growth In Middle Grades Mathematics, James Allen

All Dissertations

From this mixed method study, I present my findings on the effects of selected aspects of the Advancement Via Individual Determination (AVID) program on rural middle school students’ mathematics achievement. Previous research on the AVID program has focused on implementation in urban schools, although rural communities’ student populations continue to grow.

Most research on AVID’s success in urban settings show positive correlations between how long students participate in the AVID program and their college readiness. Other research about predictors of college success shows students who do not enroll in advanced level mathematics courses in middle school are less likely to …

Developing Awareness Around Language Practices In The Elementary Bilingual Mathematics Classroom, Gladys Krause, Melissa Adams Corral, Luz A. Maldonado Rodríguez

Teaching and Learning Faculty Publications

This study contributes to efforts to characterize teaching that is responsive to children’s mathematical ideas and linguistic repertoire. Building on translanguaging, defined in this article as a pedagogical practice that facilitates students’ expression of their understanding using their own language practices, and on the literature surrounding children’s mathematical thinking, we present an example of a one-on-one interview and of the circulating portion of a mathematics class from a second grade classroom. We use these examples to foreground instructional practices, for researchers and practitioners, that highlight a shift from a simplified view of conveying mathematics as instruction in symbology and formal …

The Students’ Mathematics Learning Difficulties Analysis, Wahyu Purwaningsih, Haryanto Haryanto

Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan

This study aims to describe, interpret, and analyze the PGSD UPY students’ difficulties in learning mathematics 2. The research type is a descriptive qualitative research. The research subjects are students and a mathematics lecturer of PGSD UPY. The data were gathered through interviews, observations, documentations, and tests. The data validity test was done by using triangulation of sources and techniques. Proprietary interactive analysis models (Miles, Huberman, & Saldana, 2014) were used to analyzed the data. The results show that there are some difficulties experienced by students in learning numberic system especially for fractions. The pretest and post test results show …

Effectiveness Of A Program Based On Stem In Developing Critical Thinking Skills In Mathematics Among Eleventh Grade Scientific Students In Gaza, Mohammed Asqule, Rana Ziada

An-Najah University Journal for Research - B (Humanities)

The study aimed to investigate the effectiveness of a program based on STEM approach in developing critical thinking skills in Mathematics for the students in GAZA. To achieve the study objectives, the researchers adopted the experimental approach. A program based on STEM, teacher guide has been prepared. To verify the effectiveness of the program, the study tool was a critical thinking skills test. This test has undergone pre and post application on a sample consisted of a group of (86) female students selected from Al-Zahraa Secondary School. The study results revealed that there were statistically significant differences at the level …

The Perceived Impact Of Project-Based Learning (Pbl) On Middle School Students’ Science, Technology, Engineering, And Mathematics (Stem) Identity And Engagement, Jonathan Olivera

Theses and Dissertations

Despite multiple calls to action, the United States educational system is not producing enough viable contributors in the areas of science, technology, engineering, and mathematics (STEM). These fields continue to grow, and the STEM workforce continues to expand. However, the pool of citizens prepared to enter these professions is not keeping up with the demand. Part of this issue can be attributed to a diminishing interest in STEM by students, particularly during their identity forming adolescent years. Active learning strategies have proven successful in preventing this decline with project-based learning (PBL) being one of the most successful active learning strategies. …

Integrating Computing Into Preservice Teacher Preparation Programs Across The Core: Language, Mathematics, And Science, Lauren E. Margulieux, Patrick Enderle, Pier Junor Clarke, Natalie King, Caroline Sullivan, Michelle Zoss, Joyce Many

Journal of Computer Science Integration

This paper describes the beginning of a design-based research project for integrating computing activities in preservice teacher programs throughout a middle and secondary education department. Computing integration activities use computing tools, like programming, to support learning in non-computing disciplines. The paper begins with the motivation for integrating computing that encouraged widespread buy-in, design goals, and design parameters. The primary motivating factor for this work was preparing teachers to use technology to support learning in their classrooms. Involving computing education faculty in the preparation enabled the activities to include computer science and spread computational literacy. The paper also describes the process …

Fall/Winter 2022: Personally Speaking/Doing This Well, Jonathan Dunbar

St. Norbert College Magazine 2019-2023

Jonathan Dunbar joined the St. Norbert faculty in 2019. He enjoys the opportunity to teach the applications of math to issues of social justice – a current emphasis of MATH 123: Applications of Contemporary Mathematics.

Moons, Maths, And Middle-Earth: Misconceptions About Tolkien’S Scientific And Mathematical Prowess, Kristine Larsen

Journal of Tolkien Research

Tolkien's use of real-world science in fleshing out his secondary world of Middle-earth is well-known, including errors he made in the process. With the recent publication of The Nature of Middle-earth, additional attention has been paid to Tolkien's use of mathematics in the same vein. However, reviews of the volume tend to reflect misconceptions about the level of Tolkien's mathematical ability.

Trauma-Informed Mathematics: Using Portfolios To Promote Reflection And Resilience, Ethan Somes

School of Education and Leadership Student Capstone Projects

Mathematics has a reputation for being abstract, complex, and for many, incomprehensible. In schools, it is common for students to dislike math and to feel self-conscious about their abilities or performance. The typical structure of math assessments, namely tests that are time constricted and highly stressful, creates a cycle of poor performance, disengagement, and high anxiety. This suggests that a new way of assessing students is needed, one that shows the fuller picture of students' math capabilities. This leads to the research question: how can the use of portfolios in math class help students begin to heal from trauma or …

Math In Nature: Expanding Fourth-Grade Students’ Mathematics Knowledge Through Nature-Based Learning, Jordyn Heide

School of Education and Leadership Student Capstone Projects

This capstone project explores how nature-based learning can expand fourth-grade mathematics instruction. As a fourth-grade classroom teacher, I have seen firsthand the benefits of teaching academic content in a nature-based manner. However, it is often difficult for classroom teachers to find the time or resources needed to prepare standards-based mathematics instruction that integrates nature-based learning principles. Nature-based learning benefits students by exposing them to nature. Learning outdoors coincides with a decrease in cortisol levels, translating to less stress (Dettweiler et al., 2017). Exposure to dirt and sunlight boosts one’s mood by increasing serotonin production and leads to deeper, more restful …

Applying Expansive Framing To An Integrated Mathematics-Computer Science Unit, Kimberly Evagelatos Beck, Jessica F. Shumway

Publications

In this research report for the National Council of Teachers of Mathematics 2022 Research Conference, we discuss the theory of Expansive Framing and its application to an interdisciplinary mathematics-computer science curricular unit.

Variety And Variation, Christopher Goff, Erik R. Tou

Euleriana

Welcome to Volume 2 of Issue 2 of Euleriana. While we occasionally discover themes that emerge from the articles and translations presented in a given issue, the wide range of Euler’s work more often results in a variety of topics for each issue. This is no less true for Issue 2.

Introduction To Mathematical Analysis I - 3rd Edition, Beatriz Lafferriere, Gerardo Lafferriere, Mau Nam Nguyen

PDXOpen: Open Educational Resources

Video lectures explaining problem solving strategies are available.

This set of lecture notes is meant to provide students with a strong foundation in mathematical analysis. Such a foundation is crucial for future study of deeper topics of analysis. Students should be familiar with most of the concepts presented here after completing the calculus sequence. However, these concepts will be reinforced through rigorous proofs.

Introduction to Mathematical Analysis II contains lecture notes that complement this book, with sections on integration, numerical series, series of functions, and selected advanced topics. Together, both volumes support a one semester or two-quarter course on introductory …

Identifying The Research And Trends In Stem Education In Pakistan: A Systematic Literature Review, Sarfraz Aslam, Atif Saleem, Teresa J. Kennedy, Tribhuwan Kumar, Khalida Parveen, Huma Akram, Baohui Zhang

Education Faculty Publications and Presentations

Although STEM is an essential feature of 21st-century education and learning, there is a lack of awareness about it in Pakistan, especially at the K-12 and tertiary levels. Recently many initiatives have been launched across Pakistan to create more interest in STEM education. In order to assist in raising the level of STEM awareness in Pakistan, this study sought to examine the current state of research and identify recent contributions and gaps in the literature. A systematic literature review was conducted using 22 research papers from five renowned databases. Results produced limited research in this area, with the majority being …

The Effects Of Computer-Assisted Instruction On Student Learning Of Fractions In Middle School Mathematics, Rebecca Love Palculict

Doctoral Dissertations and Projects

In today’s increasingly technologically-driven classroom, exploring whether computer-assisted instruction ensures students gain critical mathematic skills is an important area of study. The purpose of this study was to explore the effect of computer-assisted instruction in learning manipulation of fractions. This study used archival data collected in August 2021 (pre-test) and January 2022 (post-test). Sixty-nine fifth-grade students in a middle school in rural Mississippi were participants in the study. This quantitative quasi-experimental pre-test/post-test control group design analyzed data from the i-Ready diagnostic using an Analysis of Covariance. Results indicated a significant difference between the post-test scores of students who received interventions …