Digital Commons Network^™

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 …

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 …

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. …

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 …

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 …

Reconstructing Historical Earthquake-Induced Tsunamis: Case Study Of 1820 Event Near South Sulawesi, Indonesia, Taylor Jole Paskett

Theses and Dissertations

We build on the method introduced by Ringer, et al., applying it to an 1820 event that happened near South Sulawesi, Indonesia. We utilize other statistical models to aid our Metropolis-Hastings sampler, including a Gaussian process which informs the prior. We apply the method to multiple possible fault zones to determine which fault is the most likely source of the earthquake and tsunami. After collecting nearly 80,000 samples, we find that between the two most likely fault zones, the Walanae fault zone matches the anecdotal accounts much better than Flores. However, to support the anecdotal data, both samplers tend toward …

Unlocking Math Minds: Using Inquiry-Based Instruction To Increase Student Engagement And Learning In A Third Grade Classroom, Eric Swendseid

School of Education and Leadership Student Capstone Projects

This paper and supporting website include research and strategies to answer the research question, How can the implementation of inquiry-based math instruction increase student engagement and learning success in a third grade classroom? Inquiry-based learning is a process where the students are involved in their learning. The classroom is student-centered, not teacher-centered. Using the student-centered or inquiry-based approach, students do not learn through transmission. Instead, they collect information and synthesize the information they find through critical thinking skills. The learning process is considered to be higher-order learning. The research presented in this paper focuses on guided inquiry within a mathematics …

Incremental, Spaced Repetition And Studymate Flashcards: The Impact On College Student Memorization Of Measurement Conversion Standards, Patricia A. Bromer

Theses and Dissertations

The purpose of this action research was to evaluate the impact of and student perception of incremental, spaced repetition of StudyMate electronic flashcard use on memorization of measurement conversion standards for an online Mathematics in Health Sciences course. Online college classes require more self-direction and usually do not allow for partner or group work. These characteristics of online classes may hinder students’ ability to memorize crucial information, increasing their cognitive load and leading to feelings of inadequacy. This mixed methods study assessed the impact of incremental, spaced repetition of StudyMate flashcard use on college math students’ memorization of measurement conversion …

An Examination Of Attachment And Aspirations In Diverse Rural Youth: The Role Of Peers And Teachers, Gresi Bonomo Irdam

Theses and Dissertations

This dissertation consists of three studies that examined diverse rural youths’ educational and rural aspirations. These studies have the potential to inform rural communities, educators, and parents by providing novel understandings of how peers and teachers in mathematics and science classrooms influence diverse rural youths’ rural attachment, and aspirations (i.e., educational, rural residential, community, and proximity). Thus, the purpose of this dissertation was to investigate rural teachers and their diverse students from White, African American, Hispanic, and Native American backgrounds. In particular, the studies within this dissertation examine how teachers’ social connectedness to their rural communities relates to their teacher …

Temporal Sentiment Mapping System For Time-Synchronized Data, Jiachen Ma

Dissertations (1934 -)

Temporal sentiment labels are used in various multimedia studies. They are useful for numerous classification and detection tasks such as video tagging, segmentation, and labeling. However, generating a large-scale sentiment dataset through manual labeling is usually expensive and challenging. Some recent studies explored the possibility of using online Time-Sync Comments (TSCs) as the primary source of their sentiment maps. Although the approach has positive results, existing TSCs datasets are limited in scale and content categories. Guidelines for generating such data within a constrained budget are yet to be developed and discussed. This dissertation tries to address the above issues by …

Understanding College Students' Use Of Written Feedback In Mathematics, Erin Loraine Carroll

Theses and Dissertations

Many teachers want to help their students develop a growth mindset about their ability to do mathematics. Research has shown, however, that teachers simply do not know how to promote growth mindsets in their classrooms. Existing research suggests that one way teachers can support students' development of a growth mindset is through the written feedback they provide students. This study combines the research done on students' mindsets and written feedback to examine the interaction between student mindset and written feedback by analyzing written feedback provided to students in a College Algebra class and how students used that feedback based on …

Let’S Talk About Math: Exploring How Elementary Teachers Plan And Implement Mathematical Discourse In The Classroom, Anne Robertson Green

Early Childhood and Elementary Education Dissertations

Mathematical discourse is a critical component of effective mathematics instruction, but it remains one of the least implemented strategies in mathematics classrooms. This exploratory case study examined how elementary teachers understand, plan, and implement mathematical discourse practices, with a particular focus on connections to the curriculum. Participants included three kindergarten teachers in an urban-situated elementary school. Data were collected through: two sets of documents, including the provided curriculum and teacher-created lesson plans; two individual, semi-structured interviews with each participant; and two classroom observations of each participant’s mathematics instructional practices. The data were analyzed through the constant comparative method. Interview data …

Ramsey Theory, David Lai

Master's Theses

The Ramsey number $R(r, b)$ is the least positive integer such that every edge 2-coloring of the complete graph $K_{R(r, b)}$ with colors red and blue either embeds a red $K_r$ or a blue $K_b$. We explore various methods to find lower bounds on $R(r,b)$, finding new results on fibrations and semicirculant graphs. Then, generalizing the Ramsey number to graphs other than complete graphs, we flesh out the missing details in the literature on a theorem that completely determines the generalized Ramsey number for cycles.

The Impact Of Virtual Learning Modalities On The Academic Success Of Students In One Arkansas School District, Diane F. Richards

ATU Theses and Dissertations 2021 - Present

The COVID-19 pandemic changed the way Arkansas public schools’ offered students an education. While moving through this pandemic, many Arkansas schools implemented optional methods of delivery for their students. Some schools tried to maintain face-to-face classes, while others offered completely online classes. Still, others offered a hybrid format where students attended some face-to-face classes and online classes. One Arkansas school district offered all three options. School districts need guidance as to which teaching methods worked well. The long-term effects of the educational impact of COVID-19 are not known at this time. Schools could benefit from a guide with useful strategies …

Movement In Math - Integrating Movement-Based Activities Into Kindergarten Math, Katelyn Belch

Masters of Education in Teaching and Learning

Gross-motor movements have shown promising effects on student academic achievement and engagement especially in kindergarten classrooms. The purpose of this study was to examine what happens when movement-based mathematical activities are introduced into a kindergarten math curriculum and its implications on how kindergarteners engage during math time. Using surveys, observational and reflective data, and semi-structured interviews of students and my cooperating teacher, this study aimed to examine student and teacher perceptions of incorporating movement-activities. When movement activities were introduced into math time, the students were more engaged in math. The movement activities served as form of play-based learning and relied …

The Efficacy Of The Covid-19 Vaccine In Mississippi, Ilyse Miriam Levy

Honors Theses

The Efficacy of The COVID-19 Vaccine in Mississippi

(Under the direction of Dr. Xin Dang)

By tracking and analyzing fifty-three weeks of COVID-19 data, this thesis analyzes the efficacy of the COVID-19 vaccine within the State of Mississippi. Over the course of these fifty-three weeks, I have also been able to calculate the confidence intervals for vaccination efficacy and the risk reduction due to vaccination by using data regarding the correlations between deaths and vaccination status, provided to me by the Mississippi Office of Epidemiology. My analysis demonstrates that the COVID-19 vaccine is effective not only in Mississippi but also …

The Cross-Modal Relationship Between Language And Mathematics: A Bi-Directional Training Paradigm, Urvi Maheshwari

Undergraduate Honours Theses

The cross-modal relationship between language and mathematics is extensively debated (see for review, Peng et al., 2020). The present research examined the nature of this cross-modal relationship across three experiments. Experiment 1 examined whether training participants in linguistic problem-solving facilitates performance in mathematical problems. Participants were 156 adults recruited using Amazon Mechanical Turk and randomly assigned to one of three linguistic training conditions (i.e., linguistic reasoning, structural priming, or no-training) and tested on mathematical problems. No significant difference in mathematical performance was found across training conditions [F(2, 153) = 1.69, p = .18]. Experiment 2 examined whether training participants to …

“I Just Learn Differently”: The Experiences Of Dis/Abled Students Of Color Interpreting And Resisting Normalizing Forces In The Mathematics Classroom, Dina Mahmood

Education (PhD) Dissertations

This critical phenomenological study employs a disabilities studies in education and critical race theory (DisCrit) lens to unpack the learning experiences of seven dis/abled students of color in the secondary mathematics classroom. Based on data collected from individual and group interviews, the counter-stories presented in this study highlight the implicit and explicit ways that the normative forces of ableism and racism circulate in the secondary mathematics classroom. Through their education journey maps, the participants described forms of hyper-labeling, experiences of implicit and explicit biases from teachers and peers, and rigid conceptions of mathematics that constrained their success. The counter-stories are, …

Exploring Teachers’ Beliefs And Practices On Mathematical Discourse For Diverse Students In Inclusive Classrooms, Gloria A. Carcoba Falomir

UNLV Theses, Dissertations, Professional Papers, and Capstones

The recent implementation of rigorous standards in mathematics education has required shifts in classroom practices. Standards-based instruction places large emphasis on students’ conceptual understanding, requiring them to demonstrate high cognitive levels of mastery of the content through communication of their mathematical reasoning. Teachers and students’ mathematical discursive practices in the classroom can lead to meaningful discussions that integrate students’ explanation, justification, and arguments of ideas or claims and understanding of the content. Research on teachers’ discursive practices has shown that (a) teacher talk tends to dominate classroom instruction and (b) classroom discourse lacks frequent opportunities for teacher-student and peer interactions. …

Positive Solutions To Semilinear Elliptic Equations With Logistic-Type Nonlinearities And Harvesting In Exterior Domains, Eric Jameson

UNLV Theses, Dissertations, Professional Papers, and Capstones

Existing results provide the existence of positive solutions to a class of semilinear elliptic PDEs with logistic-type nonlinearities and harvesting terms both in RN and in bounded domains U ⊂ RN with N ≥ 3, when the carrying capacity of the environment is not constant. We consider these same equations in the exterior domain Ω, defined as the complement of the closed unit ball in RN , N ≥ 3, now with a Dirichlet boundary condition. We first show that the existing techniques forsolving these equations in the whole space RN can be applied to the exterior domain with some …

The Impact Of Discourse On Math Learning In Upper Elementary, Dawn Anderson

Masters of Arts in Education Action Research Papers

Upper-elementary mathematics becomes increasingly complex, and the gap between fluency and ineptitude grows. Considering the importance of math competency, the educator must act to narrow this achievement gap. This six-week action research study examined the effect of the implementation of teaching and encouraging student application of differentiated discourse strategies on mathematical achievement and empowerment on twenty-two nine-to-twelve-year old suburban students. Qualitative and quantitative data analysis yielded three key themes: nominal growth in student achievement, a marked increase in mathematical modeling, and a considerable shift in perception of discourse responsibility, impacting student mindset, behavior, and participation. Findings suggest that student engagement …

A Computer Programming Intervention For Second Grade Math Students, Eric B. Bagley

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The multiplication algorithms taught to elementary students are made to help students find answers quickly, but why the algorithm works and how it relates to multiplication is not widely known. For example, one intuitive meaning of multiplication is that of iterated, or, repeated, addition. In this paper, we look at the ways a visual, block-based, programming activity uses the concept of iteration to help second-graders learn multiplication. The results of the study observing second-grade students use visual programming and iteration to setup and solve multiplication story problems. We found that generally students enjoyed these activities and found them helpful during …

Children's Mathematical Engagement Based On Their Awareness Of Different Coding Toys' Design Features, Joseph S. Kozlowski

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Tangible coding toys have been promulgated as useful learning tools for young children to learn computer science and mathematics concepts and skills. Although research shows coding toys can support mathematics for early childhood aged children, little is known about the specific design features of coding toys that afford mathematical thinking concepts and skills to young children. The purpose of this study was to examine kindergarten-aged children’s awareness of the design features in coding toys and to understand how those design features afford children’s engagement with mathematics. The dataset used for this study was collected as part of design-based research NSF …

The Influence Of A Course On Assessment For Inservice Secondary Mathematics Teachers, Natalie M. Anderson

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Many mathematics teachers are not prepared to design valid and usable measurements of their students’ mathematical achievements. There are relatively few opportunities for mathematics teachers to improve their assessment literacy. The purpose of this study is to (1) design a course on assessment for inservice mathematics teachers and (2) evaluate the effectiveness of the course. This paper recounts the development of the course and its influence on 16 teachers. Teachers who completed the course submitted a unit outline with learning objectives, a test blueprint, and a unit test. These artifacts influenced my evaluation on the effectiveness of the course. All …

Delivering On A Promise: A Longitudinal Cohort Study Of Emergent Bilinguals' Academic Achievement In A Utah Dual Language Program, J. Eric Campbell

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Emergent bilingual (EB) students are a growing population in the U.S. school system currently comprising over 10% of the total population. U.S. school districts have educated EB students using a myriad of practices, including dual language immersion (DLI). Many studies have looked at the academic achievement of native-Spanish speaking EB students, yet there is a dearth of research on DLI in medium-sized school districts in rural settings. This study focused on native-Spanish speaking EB students in a DLI program in a rural Utah district. Specifically, the study compared student academic achievement in English acquisition, English language arts, mathematics, and grade …

Parents And The Evolving Math Curriculum: Supporting One's Student In Elementary Mathematics, Kailyn Heather Scobie

Undergraduate Honors Thesis Collection

The current-day mathematics curriculum is evidently different from the traditional means of teaching math. Due to this, there exist disparities between a child’s math education and their parent or guardian’s math education. This thesis will present firsthand evidence on how these disparities affect a parent’s perception of current-day curriculum, the extent to which parents can support their child in their learning of mathematics at home, and will strive to attend to the needs of both the parents or guardians as well as students in supporting the learning of these new concepts and strategies. With this, the research question asks: What …