Digital Commons Network^™

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

Culminating Experience 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).

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.

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 …

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 and Presentations

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 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 …

Beating The Odds: High-Growth Schools Based On The Act Aspire Examinations, Serving Low-Income Communities, Sarah C. Mckenzie

Arkansas Education Reports

This section highlights high-growth schools across Arkansas based on the ACT Aspire examinations in Math and English Language Arts (ELA) for the 2020-2021 academic year. For these awards, we consider schools where at least 66% of the student body is eligible for free or reduced-price lunch (FRL).

High-poverty schools are ranked by school level (Elementary, Middle, or High) based on Overall Growth (Math and ELA combined), as well as for growth in each content area independently. High-poverty schools are also ranked within each region of the state. Tables include the region in which the school is located, the number of …

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. …

High-Growth Elementary Schools In Arkansas Based On Performance On The Act Aspire Examinations, Sarah C. Mckenzie

Arkansas Education Reports

This section highlights elementary schools across the state whose students demonstrated high growth on the Arkansas ACT Aspire exams. The ACT Aspire was administered to students in grades 3 through 10 in April 2022 in Math and ELA courses which include English, Writing, and Reading.

Each table in this section presents the Top 20 schools for the noted subject area and school level. In addition, these tables include the region in which the schools are located, the grades served at the school, the weighted achievement score, and the content growth score in that particular subject.

The level of the schools, …

High-Growth High Schools In Arkansas Based On Performance On The Act Aspire Examination, Sarah C. Mckenzie

Arkansas Education Reports

This section highlights high schools across the state whose students demonstrated high growth on the Arkansas ACT Aspire exams. The ACT Aspire was administered to students in grades 3 through 10 in April 2022 in Math and ELA courses which include English, Writing, and Reading.

Each table in this section presents the Top 20 schools for the noted subject area and school level. In addition, these tables include the region in which the schools are located, the grades served at the school, the weighted achievement score, and the content growth score in that particular subject.

The level of the schools, …

High-Growth Middle Schools In Arkansas Based On Performance On The Act Aspire Examinations, Sarah C. Mckenzie

Arkansas Education Reports

This section highlights middle schools across the state whose students demonstrated high growth on the Arkansas ACT Aspire exams. The ACT Aspire was administered to students in grades 3 through 10 in April 2022 in Math and ELA courses which include English, Writing, and Reading.

Each table in this section presents the Top 20 schools for the noted subject area and school level. In addition, these tables include the region in which the schools are located, the grades served at the school, the weighted achievement score, and the content growth score in that particular subject.

The level of the schools, …

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

Our goal in this set of lecture notes is 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.

The lecture notes contain topics of real analysis usually covered in a 10-week course: the completeness axiom, sequences and convergence, continuity, and differentiation. In addition, the notes include many carefully selected exercises of various levels …

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 …

Navigating The Multiple Roles Of Mathematics Graduate Teaching Assistants In Pursuit Of Racial Equity, Access, And Justice, Kristyn Lue

Exploring How We Teach

• Mathematics Graduate Teaching Assistants (GTAs) play a large role in the socialization of undergraduate students of Color and thus have an impact on their sense of belonging and retention in the STEM fields.
• GTAs occupy a unique role as agents of mathematics socialization, as they are also undergoing their own socialization as doctoral students; in many ways, these roles and this socialization processes constrain GTAs in ways that can be detrimental and marginalizing to students of Color.
• Without being aware of the ways in which systemic racism and white supremacy operate in mathematics spaces, GTAs play a role in upholding …

Problem Solving Like A Mathematician: Disciplinary Literacy Instruction In Elementary Mathematics, Charlotte Frambaugh-Kritzer, Stephanie Buelow

Reading Horizons: A Journal of Literacy and Language Arts

This study aims to grow the literature by examining the how of disciplinary literacies (DL) elementary mathematics instructional practices in teacher education, which is under-reported. Using qualitative case study methods, we examined how one cohort of elementary preservice teachers (PTs) enacted the DL instructional practices in their field practicum K–6 classrooms. Using a social constructivism perspective, we combined directed content analysis with real-time dialogue and the writing process as analytical tools to examine our data. Data sources included observation notes from the mathematics methods course, observation notes from the field practicum, and multiple artifacts (e.g., post observation oral and written …

The Relationship Between Motivation, Academic Achievement, And Engagement In Mathematics Using Digital Game-Based Learning: An Explanatory Sequential Mixed Methods Study, Amy Rose Morgan

Boise State University Theses and Dissertations

Digital game-based learning (DGBL) has unique factors that can engage students in the learning process. It has been shown that incorporating DGBL into mathematics can help bridge the learning gap, differentiate instruction, and engage students (Yang et al., 2018; Hulse et al., 2019; Chen et al., 2012; Naik, 2017). This study examined how students’ prior engagements are related to their academic achievement as well as investigated students’ motivation while utilizing DGBL in mathematics. An explanatory sequential mixed methods design was utilized to collect the quantitative data followed by the qualitative data. There were eighteen middle school participants in grades six …

Elegance Or Alchemy? An International Cross-Case Analysis Of Faculty And Graduate Student Perceptions Of Mathematical Proofs, Brooke Nicole Denney

Masters Theses

Artist Marcel Duchamp once said, ``The painter is a medium who doesn’t realize what he is doing. No translation can express the mystery of sensibility, a word, still unreliable, which is nonetheless the basis of painting or poetry, like a kind of alchemy" (Moffitt, 2012). Just as there is a puzzling aspect of creating art or writing poetry, the aesthetic quality of mathematical proofs is a mysterious and ill-defined concept. Like many other subjective terms, it can be difficult to reach a consensus on what elegance means in a mathematical context. In this thesis, I try to better understand faculty …

Mining The Soma Cube For Gems: Isomorphic Subgraphs Reveal Equivalence Classes, Edward Vogel, My Tram

Journal of Humanistic Mathematics

Soma cubes are an example of a dissection puzzle, where an object is broken down into pieces, which must then be reassembled to form either the original shape or some new design. In this paper, we present some interesting discoveries regarding the Soma Cube. Equivalence classes form aesthetically pleasing shapes in the solution set of the puzzle. These gems are identified by subgraph isomorphisms using SNAP!/Edgy, a simple block-based computer programming language. Our preliminary findings offer several opportunities for researchers from middle school to undergraduate to utilize graphs, group theory, topology, and computer science to discover connections between computation and …