Digital Commons Network^™

Student Thinking Driving Collaboration And Teacher Knowledge, Rachel Cheney

Theses and Dissertations

The study in this paper examined how teachers engaged in their structured Professional Learning Community (PLC) time in a manner that focused their work on student mathematical thinking. The participants included two third-grade teachers and two fourth-grade teachers engaged in an alternative PLC process during their collaboration time. Interviews were conducted and focused on how the teachers thought about student thinking as the driving force of their collaboration. The teachers found their PLC time was more focused, student thinking led the discussions and lessons, they were more responsive to student needs, and their own mathematical understanding increased. The teachers also …

Parents' Perceptions Of The Importance Of Teaching Mathematics: A Q-Study, Ashlynn M. Holley

Theses and Dissertations

Mathematics education has gone through multiple reform efforts over the last century and continues to be the target of improvement efforts. Past changes in curriculum and goals have sometimes led to heated debates between various stakeholders. Knowing the views of different stakeholders can help determine what common ground there is between these different groups and where areas of disagreement might arise. Parents are especially important to understand because they have been influential in past reform efforts. Despite the importance of parents' opinions, little research has been conducted concerning their perspectives on the importance of mathematics teaching. Using Q-methodology, I was …

The Effects Of Problem-Based Learning On Mathematics Motivation In A Flipped Classroom Instructional Environment, Joshua David Harrison

Theses and Dissertations

In response to decreasing motivation in high school math classrooms, teachers are transforming classrooms with various instructional techniques. Traditional math instruction relies on direct instruction and memorization of content, processes, and skills. Teachers are transitioning to more constructivist student-led approaches. Utilizing multiple instructional designs provides teachers more opportunities to access the major components of the ARCS Model: attention, relevance, confidence, and satisfaction.

Therefore, the purpose of this action research was examining problem-based learning in a flipped classroom instructional environment and measuring its effect on students’ motivation and achievement in Algebra 2. The study addressed the following research questions: 1) What …

Impacts Of Technology-Enhanced Dual Enrollment Mathematics Course On Rural High School Students’ Intentions Of Going To College, Nicolae Bordieanu

Theses and Dissertations

The purpose of this concurrent mixed methods action research study was to investigate the impact of new technology-enhanced Dual Enrollment (DE) math courses on students’ perception of college courses, the influence the technology-enhanced DE had on students’ intention of going to college, and the students' perception of the technology-enhanced DE math course. Examining student experiences in a technology-enhanced DE course informed all stakeholders as to what degree DE influenced students’ perception of college. The DE experience influenced students' postsecondary plans. The innovation of this action research study was the technology-enhanced DE math course. Software used to practice computational skills, conduct …

Teacher Perceptions And Teaching Practices In The Elementary Mathematics Classroom, Cynthia K. Moschera

Theses and Dissertations

The purpose of this study is to explore elementary educators’ perceptions regarding what it means to conceptually understand mathematics, the emphasis teachers place on utilizing evidence-based teaching processes, as identified as effective by National Council of Teachers of Mathematics (NCTM), and how these perceptions influence their instructional choices. The theoretical framework includes Lev Vygotsky’s theory of Zone of Proximal Development. The methodological type will be a qualitative collective case study consisting of 8 participants, which include classroom teachers of grades 2-5. The TIMSS (Trends in International Mathematics and Science Study) conducted every four years, has highlighted gaps in mathematics performance …

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. …

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 …

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 …

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 …

Mindset, Stereotype Threat, And The Fear Of Failure: Why Female Students Leave A Secondary High Honors Mathematics Pathway, Annabelle Merg

Theses and Dissertations

The disproportionate attrition of female students in STEM is well documented in higher education but less well understood at the secondary level. In a large, public high school in an affluent, highly educated city, the high honors mathematics pathway is the only math pathway that has not yet achieved gender parity, an implication for future educational and economic equity. Female students leave this pathway at significantly higher rates than male students, especially during and immediately after the first course. Through an explanatory, mixed methods approach, this study found that these female students are not less well prepared than their male …

Motivation In Online Course Design: Action Research Using A Self-Determination Theory-Based Mathematics Unit To Improve Students’ Autonomy, Competence, And Relatedness, Emily Rose Shank

Theses and Dissertations

Strong mathematics achievement is lacking in the United States, with motivation waning especially among mathematics and online students. Online mathematics students, in particular, struggle with self-regulation and self-efficacy (Kim, 2012; Sun & Rueda, 2012). Ryan and Deci (2017), in their well-established and empirical self-determination theory, contended that satisfying the psychological needs of autonomy (involving self-regulation), competence (involving self-efficacy), and relatedness (involving a sense of belonging) creates a suitable environment for integrated extrinsic and intrinsic motivation to thrive. The purpose of this action research was to create and implement a self-determination theory-based online unit on factoring polynomials for mathematics students at …

The Impact Of Physical Education On Students’ Performance Outcomes In Mathematics, Ryan Thomas Cox

Theses and Dissertations

Research studies have suggested that students who participate in daily physical activity and who are more physically fit may have improved academic achievement scores. However, pressures on school districts to improve students’ academic achievement in core course areas such as math, science, and English have put less emphasis on courses such as physical education. School districts around the country have eliminated and/or have lessened the amount of physical activity students receive during the school day. This study examined the impact of time of physical education and difference in 9th-grade students’ math achievement scores in their Algebra course and outcomes on …

Teacher Experiences And Perceptions In Implementing Instructional Strategies For Fostering Student Engagement In Upper Elementary Mathematics, Gail Willis

Theses and Dissertations

The purpose of this qualitative phenomenological research study was to investigate the factors that influence mathematical instruction of upper elementary teachers in school districts within Southern California. More specifically, this research study examined teaching strategies of upper elementary teachers’ experiences and perceptions regarding implementing student engagement in mathematics in school districts within Southern California. This qualitative phenomenological research study involves teachers who utilize instructional strategies based on their best practices that foster students engaging in upper elementary mathematics. In this research study, the participants explained their lived experiences and perceptions of utilizing their chosen strategies to engage students in mathematics …

Factors That Contribute To Motivation And Student Achievement As Adolescents Transition From Elementary To Middle School Or Junior High In One Urban District In The Rio Grande Valley, Lizette Villarreal Longoria

Theses and Dissertations

This study will examine factors that contribute to the decline in achievement scores in reading and mathematics when students transition from elementary to their first year in middle school or junior high school. It will test the hypothesis that motivation is not a function of mentors, academic support, teams, parental involvement, transition experience, math perception, and reading perception for students transitioning from elementary to middle school or junior high school. In this quantitative research study, data will be collected using a multiple linear regression analysis to examine the factors that contribute to motivation and the achievement score decline in reading …

Personalized Geometry Instruction: A Mixed Methods Action Research Study Implementing An Adaptive Web-Based Learning Environment To Support High School Students’ Geometry Problemsolving Skills, Catherine D. Jordan

Theses and Dissertations

The purpose of this action research study was to evaluate the implementation of an adaptive web-based learning environment to personalize geometry instruction and practice for high school students at a private school in North Carolina. This study was guided by the following three research questions: (1) How and to what extent does implementing personalized geometry instruction and practice through an adaptive web-based learning environment affect high school students’ knowledge of geometry? (2) How does using personalized geometry instruction and practice through an adaptive web-based learning environment affect students’ motivation to learn geometry as well as their mathematics self-efficacy, anxiety, and …

Meeting Their Needs: The Algebraic Knowledge And Instructional Preferences Of Students With Learning Disabilities, Kayla Neill

Theses and Dissertations

Students with a learning disability (LD) are experts in their lived experiences within the classroom. Yet, little is known about the ways in which students with LD perceive their instruction in mathematics and whether this instruction meets their learning needs. Similarly, the mathematical thinking and content knowledge of students with LD is often excluded from the literature, particularly concerning algebraic concepts. Six high school students with LD from a large urban school district in the northeast United States participated in this two-part study. Semi-structured interviews were used to explore participants’ perceptions about their instruction within Integrated Co-Taught (ICT) mathematics classes. …

The Relationship Between I-Ready Intervention And Grade 8 Mathematical Achievement, Kenyatta Shanta Aldridge

Theses and Dissertations

A problem exists in using educational software as an intervention for middle grades mathematics. The rural middle school used an educational program to improve mathematical achievement; however, the effectiveness of this program was not evaluated. The e-learning theory served as the theoretical framework for this study. The purpose of this explanatory, sequential mixed methods design was to examine the relationship between the i-Ready intervention program and students’ mathematical achievement and to explore teachers’ perceptions of implementing the i-Ready intervention program. The participants included 48 Grade 8 students from one middle school. A series of bivariate correlations was conducted using the …

The Relationship Between The Use Of Curriculum Materials And Inquiry-Based Pedagogy, Laura Jo Elzinga

Theses and Dissertations

Little change has resulted from decades of attempts at reforming the teaching of mathematics (Davis et al., 1990). This study involved approximately 43 teachers who had completed an inquiry-based professional development program prior to being provided with a new mathematics curriculum designed to support inquiry-based teaching. It analyzed the relationships between their implementation of the inquiry-based teaching and their use of the curriculum materials. A series of bivariate correlations were run to investigate the relationships between the professional development and aspects related to the implementation of the new curriculum. The factors being so inter-related, it was hypothesized that relationships would …

A Phenomenological Study Of The Lived Experiences Of African American Women In Undergraduate Stem Degree Programs, Vernon H. Smith

Theses and Dissertations

This applied dissertation was designed to provide a better understanding of the lived experiences of African American women in STEM undergraduate degree programs at a 4-year degree granting institution in the southernmost part of central Virginia. The central problem is that there is disparity between the number of African American women with STEM degrees and that of other races in the STEM job market. The existing literature has gaps in the research of African American women’s perception of undergraduate STEM programs. Further, the researcher posits there is a lack of consideration for diversity that is detrimental to the United States; …

Evaluating The Use Of Writing Prompts & Graphic Organizers In Middle School Mathematics: Action Research To Improve Mathematical Achievement And Students’ Attitudes With Authentic Assessments, Kyla Candee Steppler

Theses and Dissertations

The purpose of this action research was to evaluate the impact of writing prompts and graphic organizers on Mona school’s 7th and 8th grade students’ mathematical academic achievement and their attitudes towards the authentic application of mathematics. Two research questions guided the study: (1) How and to what extent, do writing prompts and graphic organizers impact 7th and 8th grade students’ mathematical achievement and attitudes towards mathematics? (2) What were the 7th and 8th grade students’ perceptions about the implementation of authentic writing prompts and graphic organizers in a mathematics course at Mona school? This action research followed a convergent …

Math Workshop And Its Impact On Higher-Level Thinking Skills, Elizabeth Ross

Theses and Dissertations

This paper addresses the problem of students not using problem solving and critical thinking skills in high school mathematics classes. It describes an action research project that looked at the impact of Math Workshop on higher-level thinking skills, number of attempts to demonstrate proficiency, and students’ feelings/attitudes about mathematics in a high school Algebra II setting. In a small high school, 20 students enrolled in an Algebra II course were selected to complete a pre-test, post-test and tasks framed by Math Workshop. A triangulated mixed-methods design was used to compare quantitative and qualitative data to answer the research questions. Descriptive …

Making Elearning Engaging: The Effect Of Technology Strategies On Student Engagement And Content Knowledge Development In A Secondary Mathematics Digital Classroom, Allison Knapp

Theses and Dissertations

This action research study employed a mixed-methods design to examine the effect of technology strategies on secondary students’ engagement and development of geometry content knowledge in an eLearning setting. Seeking to understand student preferences of the technology tools, this two-week study was conducted during a geometry unit on quadrilaterals and employed the following technology tools: student response systems (SRS), computer-assisted instruction (CAI), gamification, and teacher-made screencasts. Quantitative data was collected on student engagement, the usefulness of the technology, and student self-efficacy through a Likert-scale survey after each day of using technology. Qualitative data were collected through purposeful interviews with students …

The Impact Of Social Constructivist Mathematics Learning Experiences On Latino, Middle School Students’ Proportional Reasoning, Victor M. Vizcaino

Theses and Dissertations

Due to its centrality in the curriculum, research on proportional reasoning (PR) has seen a resurgence of interest. Recent research examined students’ patterns, strategies, and achievement when solving PR problems. Other studies explored PR learning trajectories. Additional studies focused on instructional interventions such as the effect of number structure, continuous, discrete, and intensive quantities to promote the development of proportional reasoning skills (PRS). The subjects of these studies have been United States white middle school students, Icelandic grade 5 girls, Spanish secondary school students, Turkish middle school students, as well as Scottish and Korean upper primary grades’ students. Few studies …

Numerical Simulation Of The Nagumo Equation By Finite Difference Method, Gabriel Garcia

Theses and Dissertations

The Nagumo equation is an important nonlinear reaction-diffusion equation used to model the transmission of nerve impulses. In this thesis, traveling wave solutions to the Nagumo equation are studied. A pseudo-Crank-Nicolson finite difference scheme is developed to find numerical solutions. The exact solution of Kawahara and Tanaka is used to demonstrate the efficiency of the scheme. It is confirmed that the numerical errors, evaluated in the discrete maximum norm, converge in $O(\Delta x^2 + \Delta t)$, where $\Delta x$ and $\Delta t$ are spatial and temporal step sizes, respectively. More simulations with different initial conditions are conducted. In particular, it …

Approximate Solutions To The Allen-Cahn Equation Using The Finite Difference Method, Jamil Malik Villarreal

Theses and Dissertations

Seeking a deeper understanding of the world has been a driving factor in Applied Mathematics. From counting and measuring physical objects to developing equations and ratios that resemble patterns in nature, mathematics is used to interpret and explain the intricate structures that we observe everyday. The field of Applied Mathematics almost always involves setting up and then solving, or approximating solutions to, at least one partial differential equation that takes the physical and mathematical properties into consideration. This is the process of creating mathematical models. For this thesis, we will investigate approximate solutions to the Allen-Cahn equation whose analytic solution …

Impact Of Pro-Based Learning On Student Performance In Elementary Mathematics, Emmanuela Remy

Theses and Dissertations

Elementary school students have been underperforming in mathematics at the city, state, and national level. The National Education Goals, adopted by the United States Congress in 1989, did not achieve the two math goals (Goal #3 and Goal #5) by the year 2000 as outlined in the Goals 2000 Legislation. The 2019 National Assessment of Educational Progress (NAEP) results indicated that grade 4 students were not proficient in mathematics. This exploratory study, not only sought to address the two National Education math goals, but also investigated whether Pro-Based Learning (ProBL) was an effective pedagogical practice for elementary school students of …

The Impact Of Universally Accelerating Eighth Grade Mathematics Students In Heterogeneously Grouped Classrooms: An Interrupted Time Series, Patrick Walsh

Theses and Dissertations

Traditionally, students are scheduled to take Algebra I in their first year of high school mathematics in New York State. However, in many schools, the “top” students in a cohort have access to this course in eighth grade, tracking these high-achieving students ahead of their lower-achieving peers. In response, some schools have adopted the policy of “Algebra for all” in eighth grade – called universal acceleration. A perceived benefit to the policy of universal acceleration is ensuring equal access to a challenging curriculum for all students, regardless of race, socioeconomic status, or prior achievement- mitigating one of the perceived limitations …

Establishing Teaching Presence In Higher Education Online Mathematics Courses: A Phenomenological Study, Deltrye Eagle Holt

Theses and Dissertations

The purpose of this phenomenological study was to describe, based on the teaching presence component of the Community of Inquiry (CoI) theoretical framework, the lived experiences of mathematics instructors while establishing teaching presence in online higher education mathematics courses. Teaching presence, which is one of the three core elements of the community of inquiry (CoI) framework, is necessary for achieving learning outcomes and student satisfaction. The three main research questions were: 1. How do mathematics instructors establish teaching presence in online higher education mathematics courses? 2. How do mathematics instructors establish teaching presence in face-to-face higher education mathematics courses? 3. …

The Relationship Between Mathematics Teachers’ Perceptions Of Student Motivation And Their Use Of Instructional Strategies For At-Risk Math Students, Kayla Morris Couch

Theses and Dissertations

Student motivation in mathematics education can be affected by many variables, especially for at-risk students. Existing information is limited regarding teacher perceptions of their own pedagogy, instructional strategies, and at-risk student motivation in the area of mathematics for middle school and high school students. The purpose of this study was to analyze middle school and high school mathematics teachers’ perceptions of their own pedagogy, instructional strategies, and at-risk students’ motivation in mathematics. Deci and Ryan’s self-determination theory was the theoretical framework used to guide the current study, which focuses on psychological and instinctive needs of individuals. An explanatory, sequential mixed …