Digital Commons Network^™

Transforming Mathematics Education With Creativity, Natalie M. Zielinski

Culminating Experience Projects

Mathematics achievement in elementary and middle school students has decreased across the United States since 2019. Research has shown that moving away from traditional lecture-style teaching and implementing creative and application based learning can result in higher academic achievement and engagement. By utilizing challenging curricular tasks, Project Based Learning, and arts integration, students can be presented with more authentic and engaging academic content to deepen mathematical understanding and success. This project explores the benefits and effects of integrating creative teaching strategies into the mathematics classroom as an equitable teaching approach. Through the use of non-scripted curricular tasks, Project Based Learning, …

Using L1 Student Narratives And Peer Teaching To Increase Secondary Education Mathematical Understanding, Marco Antonio Martinez Leandro

Teacher Education, Educational Leadership & Policy ETDs

This phenomenological study research presents an option to use both discourse in the native language and technology as an alternative to improve the understanding of mathematics in secondary education. 13 students whose native language is Spanish attended a high school in a large urban school district in the Southwest of the United States, participated in this study.

The study's main objective was to observe the effects of using students' discourse in their language and the support of technology to increase their academic literacy in mathematics. Solution-based pedagogy was central to helping students achieve the Development of Academic Literacy in Mathematics …

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 …

A Case Study On Targeted Support Using Tpack Model For Newly Hired Secondary Mathematics Teachers, Kristin Leigh Mckitrick-Rojas

STEMPS Theses & Dissertations

As teachers plan for instruction, technology integration is an important factor in the planning and implementation process. This is become imperative in a virtual learning environment for instructors to be competent (Gregory & Lodge, 2015). Problems exist with integrating technology that aligns with teaching and learning in content areas. Among the many possible factors that contribute to these problems is lack of understanding of technology, lack of support for teachers with technology, everchanging technology tools, inadequate training alignment to instruction, technology training that is not content-specific, lack of support with the integration of technology, pedagogy, and content (Koehler et al., …

Elementary Teachers’ Perspectives Of Direct Instruction With More Rigorous Mathematics Standards, Sharon Denise Taylor

Walden Dissertations and Doctoral Studies

AbstractMajestic County Schools (pseudonym), a large southeastern school district, has implemented changes in instruction to align with more rigorous state and national mathematics standards. The rigor of the new standards has led to changes in instruction to help students master the standards with evidence from the state-wide standardized test. Although the district has made curricular changes, over one-third of the students in Grades 3-5 at Flint Elementary are not mastering grade-level standards. This basic qualitative study focuses on one elementary school within the district. The purpose was to understand how teachers implement direct instruction (DI) strategies in the classroom to …

Investigating Discussion Forum Impact On Students’ Social Justice Beliefs In Online Undergraduate Mathematics Courses: A Mixed Methods Study, Ashlee Lynn Akin Matney

Theses and Dissertations--Education Sciences

While teaching math for social justice and equity has become a heavily researched topic in recent decades with Jo Boaler (2008, 2015, 2016), Rochelle Gutiérrez (2009, 2013), and Eric (Rico) Gutstein (2003, 2006, 2007, 2013) emerging as recent leaders in the charge, the focus has consistently remained on traditional classroom teaching (e.g. Boaler, 2008; Gutiérrez, 2009; Gutstein, 2003). This convergent design mixed methods study investigated the impact of teaching math for social justice in the online learning environment, specifically, the impact of discussion forums on students’ social justice beliefs in fully online undergraduate math courses.

Quantitatively, 56 students completed pre- …

An Investigation Of The Effects Of Self-Efficacy On Stem Implementation, Caroline Buechel

Curriculum and Instruction Undergraduate Honors Theses

In order to equip students with the 21^st Century skills necessary for today’s society, STEM education must be properly implemented in school curricula (Lamb, Akmal, & Petrie, 2015). To do so, it is important for teachers to possess both proficient knowledge of the subject matter and confidence towards the implementation of STEM. A person’s beliefs about their ability is known as their self-efficacy (Bandura 1997). Related to education, Bandura notes that this self-efficacy affects a teacher’s views on their ability to handle tasks, obligations, and challenges related to a challenge (1997). Additionally, numerous studies indicate that this self-efficacy in …

Examining Teachers' Use Of Adaptive Diagnostic Assessment To Improve Mathematics Teaching And Learning, Dalal H. Alfageh

Graduate Research Theses & Dissertations

This qualitative case study examined teachers’ perceptions and use of adaptive diagnostic assessment for improving teaching and learning of elementary level mathematics. Specifically, this case study was conducted at some of the leading primary schools in a Midwestern school district. TPACK theory was used as the theoretical framework for this case study to provide an understanding of how the teaching and learning of mathematics occurs in the classroom and the changes that occur due to the implementation of adaptive diagnostic assessments. A survey, individual interviews, a focus group, and journal reflections were used for data collection. The findings of this …

The Effect Of Coding Classes On Mathematics Achievement Of Preschool Students, Ebru Hacer Erbilgin

Walden Dissertations and Doctoral Studies

The problem that inspired this study is that Turkish students’ mathematics rankings on global exams such as The Program for the International Students Assessment (PISA) and Trends in International Mathematics and Science Study (TIMMS) had been below the average for many years, a problem that may have rooted in children’s early experiences with mathematics. The purpose of this quantitative pretest posttest quasi-experimental control group study was to determine the effect of computer-programming classes with Code Studio on mathematics scores of preschool students. Siemens’s connectivism theory for the digital age formed the foundation for this research. A single research question regarding …

Mathematics Teachers’ Pedagogical Content Knowledge And Its Relation To Student Achievement, Michelle Emmalyn Peters-George

Walden Dissertations and Doctoral Studies

Students' performance in national assessments of mathematics at Grades 2, 4, and 6 has been a cause for concern in the Eastern Caribbean. Researchers have called for studies to focus on primary mathematics teachers' pedagogies rather than on laptops and curriculum; however, it is unclear how primary mathematics teachers' pedagogical knowledge influences these student’s achievement. The purpose of this quantitative study was to investigate the relationship between primary mathematics teachers' pedagogical content knowledge (mathematical knowledge for teaching, quality of instruction, and pedagogical qualifications) and student achievement, measured by national assessment scores in Grenada, controlling for teachers’ age, gender, and experience. …

Examining The Specialized Math Content Knowledge Of Elementary Teachers In The Age Of The Common Core, Stephanie Purington

Doctoral Dissertations

Mathematical standards for students have increased with the development of the Common Core State Standards for Mathematics and its accompanying high stakes testing. Teachers need strong conceptual knowledge of the mathematics they teach in order to give students the opportunity to learn that math deeply. An earlier study (Ma, 1999) found that US elementary teachers lack the deep knowledge to teach math conceptually. Given the mathematics standards movements of the last two decades, it is plausible that the knowledge base of teachers has changed. Using the framework of Specialized Content Knowledge (SCK), which is the knowledge required to teach math …

The Common Core State Standards In Mathematics For Place Value: Developmentally Appropriate Or Not?, Sarah N. Hughey

Masters Theses

This exploratory case study examines the developmental appropriateness of the Common Core State Standards in Mathematics (CCSSM) for place value for second through fourth-grade students. A correlation analysis was performed on end of year scores from the 2018-19 school year on a standardized norm-referenced test and a conceptually-based interview assessment from the Math Recovery program (AVMR) on 137 students from one school in the Midwest. An item analysis was also performed on AVMR assessments for 70 students from the 2019-20 school year. The results showed that second and third-grade students did not display the expected amount of growth in conceptual …

A Case Study Exploring The Nature Of How Prekindergarten Teachers’ Mathematics Instruction Decisions Relate To Their Mathematics Pedagogical Content Knowledge, Raleta Summers Dawkins

Teaching & Learning Theses & Dissertations

The mathematics knowledge students develop in prekindergarten is key to their ability to make sense of more complex mathematics in the future (C. T. Cross, Woods, & Schweingruber, 2009; Ginsburg, Lee, & Boyd, 2008). Research continues to present evidence that there is a mathematics achievement gap between minoritized students living in lower socioeconomic communities compared to their peers before entering kindergarten (Arnold, Fisher, Doctroff, & Dobbs, 2002; Duncan et al., 2007; Sonnenschein & Galindo, 2015; Wang, 2010). The joint position statement issued by the National Association for the Education of Young Children and the National Council of Teachers of Mathematics …

The Influence Of Professional Development Methods On Student Mathematics Performance In New Jersey Public Elementary Schools, Xanthy Karamanos

Seton Hall University Dissertations and Theses (ETDs)

This quantitative study was developed to determine the influence of professional development methods on student academic performance in elementary mathematics. The study also reviews the relationship between content that was delivered in professional development programs and student performance. Additionally, the research analyzes the difference in student math performance when professional development decisions are made by administrators versus a mixed group of stakeholders. An online survey was conducted to collect data from district- and school-level administrators in New Jersey public school districts that serve elementary students from grades three to six. The study includes representation from 11.4% of public school districts …

The Impact Of Frayer Models In A Mathematics Classroom, Makenna Geise

Honors Projects

The purpose of this action research study was to explore the impact that Frayer Models have on students’ attitudes towards mathematics. I conducted a two-week unit on transformations, where students were introduced to a classroom focused on academic language, supplementing their learning with Frayer Models for homework and in-class assessments. I assessed their attitudes towards mathematics before and after the use of the Frayer Models, where I analyzed the effect that the Frayer Models had on the students and their use of academic language. It was evident that most of the students’ found the focus on academic language beneficial to …

First Grade Educators' Perceptions Of Their Confidence To Integrate The West Virginia Mathematical Habits Of Mind Into Classroom Practices, Monica Lynn Dellamea

Theses, Dissertations and Capstones

Mathematical proficiency during the early years is directly linked to later success in life, both regarding academics and economics. First grade educators must have the knowledge and skills to integrate the West Virginia Mathematical Habits of Mind (WV MHM) into their existing classroom instructional practices to help establish strong foundations for mathematical learning and thinking early on in children’s lives. This study investigated first grade educators’ perceptions of their confidence with integration of the WV MHM into their classroom instructional practices. Barriers to and supports for implementation, as well as educator demographics, were examined to determine any effect they may …

Enabling And Threatening Factors Affecting Persistence. A Qualitative And Quantitative Study On Rural First-Generation Stem Students’ And Stem Faculty's Perspectives., Travis A. Miller

Graduate Theses, Dissertations, and Problem Reports

This study focuses on the factors that enable and threaten rural first-generation STEM students’ persistence. Limited empirical studies are available that focus on rural first-generation STEM majors’ persistence. Quantitative analysis was conducted using Kruskal Wallis H and Mann-Whitney U tests to determine any significant differences with the survey results. Content and thematic analysis was conducted on the student and faculty interviews to determine themes of enabling and threatening factors affecting persistence.

Enabling factors affecting persistence were found to be: Drive or Motivation, Experiences and skills, and Support. These were both faculty and student interview themes whereas a …

The Principal’S Impact On The Success Of Mathematics Professional Development, Michael Chad Staheli

Theses and Dissertations

Principal involvement is recognized as a key component to success in professional development implementation. Both the principal efforts undertaken, and the visions stated influence teacher development and student achievement. Using the instructional, transformational, and learning-centered models of leadership, as well as frameworks in vision, and organizational theory, this research sought to clarify the impact of principal involvement on student performance. Interview data was collected from 16 principals participating in a mathematics professional development program entitled the Comprehensive Mathematics Initiative. Of the participants, 9 of the principals were from schools that achieved high levels of student performance on standardized mathematics tests …

A Semiotic Analysis Of Linguistic And Conceptual Development In Mathematics For English Language Learners, Hyunsook Shin

Doctoral Dissertations

This study explores how an elementary mathematics teacher supported English language leaners’ (ELLs’) academic language and concept development in the context of current high- stakes school reform. The conceptual frameworks informing this study include Halliday’s theory of systemic functional linguistics (e.g., Halliday & Matthiessen, 2014) and Vygotsky’s sociocultural theory of concept development (Vygotsky, 1986). Specifically, this study analyzes the interplay between academic and everyday language and how this interplay can facilitate the development of what Vygotsky referred to as “real” or complete concepts as students shift from “spontaneous” to more “scientific” understanding of phenomenon (Vygotsky, 1986, p.173). This year-long qualitative …

Effects Of Professional Learning Communities On Instructional Revisions In Secondary Mathematics Classrooms, John Kenneth Bond

Theses, Dissertations and Capstones

This non-experimental, descriptive study examined the effect(s), if any, that professional learning communities have had on the professional practices of secondary (grades 9-12) mathematics teachers in Boone, Clay, Putnam, and Kanawha counties in West Virginia. Also investigated were the potential differences in instructional-practice change(s) based on selected demographic variables: sex, degree level, the grade level taught, the total years of teaching experience, the total number of years in their current position, the specific math subject taught, the total number of years of PLC participation, and the composition (e.g., departmental, cross-curricular, or both) of participants’ PLC. Data were collected from a …

Teacher Beliefs About Providing Instruction For Gifted Students In Inclusive Mathematics Classrooms, Carrie Lynn Kizuka

Walden Dissertations and Doctoral Studies

Kindergarten - Grade 12 (K-12) students identified as gifted in mathematics in the United States are not being appropriately challenged. Teachers are the most important school-related factor that contributes to student success; however, researchers have not explored the experiences of teachers who work with gifted students in inclusive mathematics classrooms. The purpose of this qualitative, transcendental phenomenological study was to explore the lived experiences of K-12 teachers who provide instruction for gifted students in inclusive mathematics classrooms. Bandura's social cognitive theory framed the study. Interview data were collected from 12 teachers who provide mathematics instruction for gifted students in inclusive …

Teachers' Perceptions Of The Sustainability Of Mathematics And Science Partnership Professional Development, Robert Harold Alt

Walden Dissertations and Doctoral Studies

The sustainability of improved pedagogy gained through professional development (PD) of mathematics teachers has undergone little empirical study. In a midsized urban school district in the Northeastern United States, all high school mathematics teachers attended a 3-year mandatory PD program. Although an external evaluator studied this program immediately after completion, there had been no longitudinal study of the perceptions of its participants regarding the sustained benefits of the program. This qualitative study offered a follow-up study of the participants in the Math and Science Partnership (MSP) PD program to provide insight to administrators regarding the sustainability of benefits gained through …

Middle School Mathematics Teachers' Perceptions Of Opportunities And Challenges, Shelby Eversole

Masters Theses

This study investigates the perspectives of opportunities and challenges of middle school mathematics’ teachers. To gain these perspectives, an ethnographic study was conducted by interviewing four middle school mathematics teachers in central Illinois. The results of this study imply that teachers of different backgrounds and teaching environments have varying perspectives about challenges and opportunities in the classroom. Limitations of this study include but are not limited to, the researcher having one year to conduct the research, only four teachers from two schools being interviewed, interviewees teaching different grade levels, no rural setting involvement, one educator having little teaching experience, teachers’ …

Teachers' Perceptions About Instructing Underachieving K-5 Students On Mathematical Word Problem-Solving, Crystal Yvette Baldwindouglas

Walden Dissertations and Doctoral Studies

The state of Maryland has implemented the Common Core State Standards for Mathematics (CCSSM) operations & algebraic thinking and number & operations-fractions with emphasis on students in Grades K-5 acquiring the ability to solve word problems for state and curriculum math assessments. However, since the implementation of CCSSM, 30% of elementary students in a Maryland school district have demonstrated underachievement (basic or below basic level) on problem-solving sections of the state and school standardized tests. This qualitative case study, guided by Polya's model of the four phases of mathematical problem-solving, was conducted to address this problem. The research questions addressed …

A Case Study On How Meeting The Academic Needs Of Students Substantially Below Grade Level In Mathematics Affects Their Self-Efficacy Beliefs And Engagement, Lauren K. M. Burton

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

This researcher examined an alternative classroom structure for ninth-grade students substantially below grade level (SBGL) in mathematics. This researcher considered whether targeting the academic and social needs of students SBGL in mathematics in a ninth-grade class would increase their self-efficacy and engagement with the mathematics by studying four teaching effects: teacher, teacher-curriculum, peer-curriculum, and peer.

The researcher used interviews, observations, and surveys to collect qualitative and quantitative data. The case study (n = 19) employed a QUAL + quan convergent parallel mixed methods case study. Meta-inferences from the analyses of qualitative and quantitative data indicate that the structure of …

Technological Resources Versus Non-Technological Resources, Samantha Sapa

Dissertations, Theses, and Projects

The purpose of this study is to help show that using technology as an instructional strategy will benefit students’ knowledge on certain concepts. Improving focus and engagement will lead to increased knowledge of students. This study’s participants included ten randomly selected second-graders. They focused on the concept of 2-dimensional and 3-dimensional shapes. At the beginning of this study, they were given a pre-assessment (see Appendix A) to show their current knowledge. When this study was completed, a post-assessment (see Appendix B) was given. Comparing the results of these two assessments helped to show that using technology, during teacher-led instruction, benefited …

Summer Learning Loss And Summer Programming: How To Build A Cohesive Mathematics Education, Jill Osborne

All Electronic Theses and Dissertations

Students across the world are learning at an incredible rate. By the end of each academic school year, most students have amassed a large amount of knowledge. But what happens to that knowledge over the summer? Research shows that most students make no academic gains over the summer; some even regress in their content knowledge. In order to build a cohesive education across academic school years, research has shown that attending a summer academic program may help. Students that attend a summer learning program may be more successful the next academic year, which in turn builds to a greater overall …

Beyond Teacher Knowledge: Connections Between Content Knowledge, Mindset For Learning, And Teaching In Two-Year College Mathematics Faculty, Lucy Hernandez Michal

Open Access Theses & Dissertations

Addressing thousands of students entering unprepared to enroll in college freshman mathematics courses is a challenge two-year college mathematics faculty face every semester. The study addresses this challenge through a mixed methods sequential nested multi-case design to investigate what faculty need, beyond teacher knowledge, to teach mathematics effectively to students. The three-part study measured the mindset learning profile and content knowledge of a sample of mathematics faculty at a two-year college. The quantitative and qualitative data provided references to select four faculty typologies to interview and observe. Interviews reflected faculty perceptions of teaching and learning. Class observations captured images of …

Perceptions Of Faculty Using Mymathlab In Traditional, In-Seat Math Classes, Kathleen Gromilovitz

Walden Dissertations and Doctoral Studies

MyMathLab, an online interactive and educational system by Pearson Publisher, was implemented in 2 lower-level, traditional in-seat algebra courses to provide supplemental, instructional support to students in the fall of 2015 at the college under study. After the first year of use, no significant change in student success was reported, although more students passed intermediate algebra without first taking elementary algebra. The problem addressed in this study was that student results suggested there might be benefits to using MyMathLab that should be investigated. Knowles' theory of andragogy was used in this qualitative case study to gather perceptions of 7 2016-2017 …

A Qualitative Case Study Of Mathematics Teachers' Formative Assessment Feedback, Ryan Rathje

Walden Dissertations and Doctoral Studies

Formative assessment is supported by research as a process to enhance student learning. A vital aspect in the process is the role of feedback which, based on its use, can support or hinder student learning. The problem addressed in this study was based on the concern of a high school administrator that teachers in the school were not using formative feedback in a manner that supported student learning. The purpose of this instrumental qualitative case study was to explore and understand the assessment and feedback practices of mathematics teachers in a private high school setting. The conceptual framework for this …