Education Commons^™

Analyzing The Influence Of Mathematics Intervention Teacher Actions On Students' Mathematics Identities: An Examination Of Bipoc Student Perceptions And Past Learning Experiences., Sydni P. Morris

Electronic Theses and Dissertations

This dissertation examines mathematics education's past and present state in the United States, emphasizing mathematics intervention instruction. This dissertation includes a complex and critical analysis of intervention practices and historical and structural inequities based on race present in these interventions and mathematics education. In combination, it examines the construct of mathematics identities, their role in student success with mathematics, and trends surrounding mathematics education and its impact on populations of students of color. Using Critical Race Theory as an underlying framework and Critical Counter-Narrative as a methodology, it argues a need for marginalized student voices to be present in the …

Data-Wisdom As A Framework For Building Data Literacy, Rita Swartzentruber

Masters Theses

In a world where “big-data” rules, the need for data literate citizens is critical. Not only do we need citizens who can read data, but also citizens who are critical of data practices that perpetuate racist practices. One potential answer for this call is to create “data-wise” citizens. The purpose of this design-based research study was to explore how secondary and post-secondary students can develop data-wisdom through the analysis of three data-inspired artistic data visualizations. This study examined the growth of data-wisdom in participants, the development of classroom norms, and the increase in positive perceptions of mathematics in participants. Data …

Conceptualizing Social Mathematical Empowerment: What Is The Curricular Connection?, Alicia C. Gonzales

Doctoral Dissertations

As a result of everchanging goals and visions for mathematics education in the United States, this study builds on an initial theoretical framework of empowerment and further conceptualizes one domain, namely Social Mathematical Empowerment [SME]. I used concept analysis to define processes and outcomes more precisely and identified SME as a multi-layered, dialectic construct. This approach results in two components of action and awareness with various instructional and theoretical approaches. I then applied that conceptualization and created an analytical tool to examine mathematics teaching materials to engage learners in SME. This study adds to the existing knowledge base by providing …

“Should Wellbeing Be The Same As Perfection?” A Case Study On Student Wellbeing In Higher Mathematics Education, Marcelo Alonso Almora Rios

Graduate Student Theses, Dissertations, & Professional Papers

Previous research has given the impression that reticent is our hunt for optimal teaching practices, educational goals, and nature of mathematical workings. In this regard, we have (seemingly) ended up with the following inquiries:

• What could the math classroom be for? and
• What has the math classroom been for?

These two questions touch on the scary horns of two other charged philosophical dandruffs. Namely:“What are the aims of teaching mathematics?” and “What should be our objectives in learning it?”

The term ‘positive education’ refers to an educational system engendering both the skills of positive wellbeing and traditional, academic achievement (Seligman …

An Investigation Of Active Learning On Students' Understanding Of Infinite Series Convergence, Zachary Coverstone

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Many students encounter infinite series for the first time as part of their single-variable calculus coursework. As part of this initial engagement with infinite series convergence, students grapple with infinity in ways that they haven't had to before. For instance, the fact that summing infinitely many terms sometimes yields a finite value, but at other times diverges, poses significant conceptual challenges.

I recently designed and implemented a curriculum for second-semester calculus centered in doing problems to help students develop ideas surrounding infinite series convergence, rather than using direct instruction. The unit design was patterned after a workshop at the Park …

Collaborative Learning With A Geometry Video Game: The Role Of Elaboration And Game Design In Motivation And Learning, Ethlyn Saltzman

Dissertations, Theses, and Capstone Projects

The study examined the effects of a new game mechanic on collaborative learning and mathematical discourse when playing a digital geometry puzzle game. For this study, two new versions of the game “Noobs vs. Leets” were developed. Both versions of the game teach the concepts of complementary and supplementary angles and the angle sum theorem of triangles. It was hypothesized that the version of the game that included a game mechanic that allow players to manipulate the angles, thus creating a more open-ended task, would be more intrinsically motivating, promote elaboration of the geometric concepts, and lead to greater learning …

The Integration Of Computational Thinking In Mathematics Education: The Current State Of Practices In School, Outreach, And Public Educational Settings, Hatice Beyza Sezer

Electronic Thesis and Dissertation Repository

This study investigates the integration of computational thinking (CT) in mathematics education by examining current CT practices in school, community outreach, and public educational settings to seek insight into further affordances of CT. A qualitative content analysis through a mix of inductive and deductive approaches is used to analyze online CT resources and computational artifacts. I interpreted the data through Kafai et al.’s (2020) framings of CT and a combination of constructionism, social constructivism, and critical literacy theories of learning. This study revealed that cognitive framing of CT (acquisition) receives greater attention compared to situated framing (participation), whereas the affordances …

Learning Mathematics While Black In Rural Appalachia: Black Students' Counterstories And Freedom Dreams About Mathematics Education, Sean P. Freeland

Graduate Theses, Dissertations, and Problem Reports

This dissertation aims to illuminate and uncover the experiences of Black students’ learning mathematics in rural Appalachia and specifically West Virginia. The focal theory for this study is Critical Race Theory (CRT) which centers the experience of Black students and their voices. The intersection of race, mathematics education, and the context of rural Appalachia contribute to the analysis of these experiences in specific ways. Participants for this study included six Black high school students from various communities throughout West Virginia. Through interviews and mathematical autobiographies, these students shared their experiences learning mathematics across their schooling experiences and also considering their …

Preparing Preservice Mathematics Teachers To Teach For Social Justice, Jodie Cahill

Honors Projects

As a preservice teacher, I have always been taught that mathematics should be relatable to students. My future students live in a tumultuous society with many social justice issues affecting them. In the endeavor to connect mathematics to the real world, I sought to intertwine social justice topics into mathematics lessons. My research question is: How do social justice topics support preservice mathematics teachers’ endeavors to enrich their future students’ educations? I conducted a two-part professional development workshop for preservice teachers at Bowling Green State University about teaching mathematics for social justice in order to answer this question. There was …

Impact Of The Order Of Eac And Sos During Instruction On Ratios, Josephine Marlene Derrick

Boise State University Theses and Dissertations

The purpose of this study was twofold. First, a set of instructional materials surrounding proportional reasoning with ratios (particularly the understanding of the multiplicative relationship between the quantities within the ratio, referred to as functional reasoning throughout this thesis) were created using the free online tool, Desmos, with a goal of determining the impact of the lesson materials on student understanding. The second goal was to explore the impact of the order in which two instructional strategies, Explicit Attention to Concepts (EAC) and Students’ Opportunity to Struggle (SOS), had on student understanding. The lesson materials consisted of 5 lessons. These …

Using Logistic Regression To Examine The Relationship Between Early Alert Systems And Success In Mathematics, Jennifer-Anne Tekawitha Hill

Graduate Research Theses & Dissertations

Early alert systems are an intervention at community colleges that aim to identify and informally intervene with students who are struggling in their courses. This study examined the relationship between early alert systems and student success in developmental and gateway math courses. This study also examined if the impact of early alert referrals differed by class modality, as students in online classes were often unaware of resources available to them. Method: The sample was taken from one large primarily midwestern community college. Data was sourced from the institutional research department. Individual student transcript records were used, early alert referral information, …

Teacher Understanding Of Instructional Strategies In Elementary Mathematics, Erica Boatwright Glover

Walden Dissertations and Doctoral Studies

Synergizing Elementary School (pseudonym) consistently experiences low state-required mathematics test scores in grades 3 and 4 below district and state proficiency rates in mathematics. The purpose of this qualitative case study was to investigate what instructional practices used by Grade 3 and Grade 4 teachers are, aligned or not aligned, with research-based planning, standards-based instruction, attention to conditions of learning, and professional responsibilities of teachers to support students’ achievement in mathematics. This study's conceptual framework was grounded in Robert Marzano's model of teaching effectiveness called the focus teacher evaluation model. Data for this case study were gathered from semi-structured interviews …

Exploring Tutors’ Pedagogical Practices In The Teaching And Learning Of Mathematics Education: A Case Of Three Primary Teachers’ Colleges In Eastern Uganda., Geofrey Mabonga

Theses & Dissertations

The major purpose of this study was to explore tutors pedagogical practices in the teaching and learning of mathematics education in primary teachers colleges in Uganda. This study employed qualitative research approach. That being the case, Qualitative approach was based upon the interpretive constructivist underpinnings whose aim was to explain the phenomenon from the subjective reasoning based on participants’ opinions, realities, meanings, attitudes, and motivations that lie behind their social behaviour. This study used case study research design. A total of twelve (12) respondents participated in this study. These included six (6) Mathematics Tutors and six (6) Student teachers. Tutors …

Social Justice Mathematical Modeling For Teacher Preparation, Patrick L. Seegmiller

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Today's math teachers face significant social and political challenges for which they receive little preparation. Mathematics content courses can potentially provide additional preparation in this regard by providing future teachers with experiences to mathematically explore social justice issues. This provides them with opportunities to increase their awareness and sensitivity to social justice issues, develop greater empathy for their future students, and serve as examples for high quality instruction that they can emulate in their future careers. This dissertation recounts the development and revision of three social justice mathematical modeling projects, and shares evidence from student work samples of the ways …

The Effects Of Teacher Professional Development And Self-Efficacy On Classroom Uses Of Information And Computer Technologies, Elif N. Gokbel

Electronic Theses and Dissertations

The uses of new technologies during mathematics instruction are essential for maintaining opportunities for students to gain better understanding of the content and become digital learners in the information age. Although scholars found technology integration is helpful in improving students’ mathematics achievement, the role of teachers’ preparedness for technology integration remains critical.

Technology professional development and self-efficacy are two major factors impacting teachers’ successful integration of instructional technologies. The purpose of this study was to provide a more in-depth look into (i) mathematics teachers technology uses during direct instruction, dialogic instruction, and assessment; (ii) the relationship between various types of …

Teach-To-One Blended Mathematics' Impact On Middle School Students' Mathematics Achievement, Navdeep Dhindsa

Walden Dissertations and Doctoral Studies

Blended learning that integrates computer-assisted instruction with face-to-face instruction is gaining popularity in U.S. middle schools; therefore, the effectiveness of such blended learning models in improving middle school students' achievement in mathematics needs to be explored. Middle school students at a public Connecticut school have shown poor performance in mathematics on a state standardized test. The local district implemented a blended learning model, Teach to One: Math (TTO), in 1 of the middle schools to improve students' performance in mathematics. The theoretical framework for this study was Koehler and Mishra's theory of technology, pedagogy, and content knowledge. The key research …

Pre-Service Elementary Teachers' Use Of Spatial Diagrams: Investigations Of Unbounded Shearing On Solid Figures, Camden G. Bock

Electronic Theses and Dissertations

Mithala and Balacheff (2019) describe three difficulties with two-dimensional representations of three-dimensional geometrical objects: “it is no longer possible to confuse the representation with the object itself,” visually observed relationships can be misleading, and analysis of the representation requires the use of lower-dimensional theoretical properties. Despite these difficulties, students are routinely expected to learn about three-dimensional figures through interacting with two-dimensional inscriptions. Three-dimensional alternatives include diagrams realized through various spatial inscriptions (e.g., Dimmel & Bock, 2019; Gecu-Parmaksiz & Delialioglu, 2019; Lai, McMahan, Kitagawa & Connolly, 2016; Ng and Sinclair, 2018). Such diagrams are three-dimensional in the sense that they occupy …

The Relationship Between English Language Learners’ Mathematics Problem Solving Strategies And The Mathematics Register, Sarah Reeves Frederickson

Graduate Theses and Dissertations

This case study followed three Hispanic and three Marshallese students’ participation in a seventh grade pre-algebra unit over the course of four weeks. Pre-assessment items indicated that the students had difficulty with aspects of the mathematics register. Their teacher employed an interpretation of the gradual release model of instruction in which direct strategies for translating word problems into equations with unknowns were modeled prior to students doing similar problems on their own. In these situations, students showed some success in solving similar problems. However, post-assessment results indicated that none of the six students were able to successfully solve open response …

Fragile Strength: Math Self-Efficacy Of High Achieving Girls, Tristan Tang

Education | Master's Theses

Math gender gap research shows girls’ math self-efficacy to be correlated with their interest in pursuing higher levels of math education and STEM career opportunities. Most math gender gap studies have used only quantitative approaches, thereby missing the opportunity to gain deeper perspectives directly from girls who are steadfastly facing the math gender gap. This study centered around two small focus groups of girls attending a unique secondary school where every afternoon is fully dedicated to deep engagement with higher-level mathematics. Additionally, parents of girls at the school were surveyed to provide further insight into possible sources of their daughter’s …

Does Teaching The History Of Mathematics In High School Aid In Student Understanding?, Anne Campbell

Undergraduate Honors Thesis Projects

This research will study the effect teaching the history of mathematics in a high school classroom has on student understanding. To accomplish this, lessons both including and excluding historical background on different topics were taught in an Honors Algebra 2 class in the high school setting. This research aims to engage student learning and investigation of topics that normally do not draw a lot of student focus and spark a new or revived interest in mathematics for students by broadening lessons to include material of which students would not otherwise be exposed. The lessons themselves aim to engage other current …

Elementary Teachers' Definitions And Usage Of Inquiry-Based Mathematics Instruction, Heather Nunnally

Theses and Dissertations

Current educational leaders call for students to build his or her own mathematical understanding from experiences, coupled with feedback from peers, teachers, and themselves and gain a conceptual understanding of mathematics. Researchers agree that inquiry in the elementary mathematics classroom can help increase conceptual understanding.

This case study focused on how elementary teachers define inquiry-based mathematics and implement it in their classrooms. Interviews, observations and lesson analysis were used to investigate what identities, relationships and activities look like in an elementary classroom that uses inquiry.

All of the participants felt "problem solving" and "working collaboratively" were essential for inquiry but …

Rural Teachers' Perceptions Of Collaboration And Professional Growth In Mathematics, Katherine M. Burns

University of the Pacific Theses and Dissertations

Teachers are a focal point in rural communities, building educational and cultural connections between the families and schools they serve on a daily basis. At the same time, geography and other constraints can impact rural teachers’ access to professional development and other resources. This mixed methods exploratory study focuses on a two-year professional learning program that supported rural teachers’ (n=38) professional growth in mathematics and encouraged the development of a collaborative Community of Practice spanning 14 elementary school sites in four Northern California counties.

Research methods incorporated a secondary data analysis, as well as the collection of new data. Quantitative …

How Teacher Questions Affect The Development Of A Potential Hybrid Space In A Classroom With Latina/O Students, Casandra Helen Job

Theses and Dissertations

Questions have been shown to aid in student understanding of mathematics, particularly "novel" questions (Mesa, Celis, & Lande, 2013) that do not have a predetermined answer. However, students do not always understand what is intended by questions posed by teachers, particularly those students who come from different cultural and lingual backgrounds than those dominant in the classroom discourse. This project investigated the relationship between how a mathematics teacher acknowledged students funds of knowledge in her questions and how Latina/o students responded. It shows some research based questioning techniques that allow Latina/o students greater opportunity to participate in the mathematical problem-solving …

Exploring The Knowledge Of Algebra For Teaching., Jonathan David Watkins

Electronic Theses and Dissertations

For the past few decades, researchers in mathematics education have been exploring the concept of pedagogical content knowledge (PCK)—or knowledge related to teaching content—and applying it to various areas of mathematics, such as algebra. Research related to teacher knowledge of algebra is critical because researchers (e.g., Hill, Rowan, & Ball, 2005) have found correlations between some types of teacher knowledge and student achievement in mathematics; students from around the world are outperforming U.S. students on international assessments of mathematics, including algebra (Organization for Economic Cooperation and Development, 2014, 2016); and algebra plays an integral role in the K-12 mathematics curriculum …

Teacher Graphing Practices For Linear Functions In A Covariation-Based College Algebra Classroom, Konda Jo Luckau

Theses and Dissertations

Graphing is a fundamental topic in algebra that is notoriously difficult for students. Much of the past research has focused on conceptions and misconceptions. This study extends past research by looking at the mathematical practices of a practitioner, specifically one instructor of a function-based covariation-focused algebra class in the linear functions unit. Considering practices in addition to conception adds dramatically to our understanding of mathematical activity because it leads to explicit descriptions of normative purposes that are connected to particular situations or problems and also specifies how tools and symbols are coordinated to achieve these purposes. The results of this …

Collaboration Among Mathematicians And Mathematics Educators: Working Together To Educate Preservice Teachers, Amanda R. Mohn

USF Tampa Graduate Theses and Dissertations

Collaboration among higher education professors who are responsible for the education of preservice teachers is one potential solution to the problem of poor teacher preparation. Specifically, collaboration among mathematics educators and mathematicians can enhance preservice teacher preparation because it provides opportunities for preservice teachers to develop pedagogical content knowledge. However, collaborative efforts are challenging, and collaborators often face obstacles and tensions arise among the collaborative group members. Learning about ways the collaborators approach their collaborative efforts, the issues and tensions that arise, the hindering and supporting factors that affect the collaboration, and the potential outcomes of collaborative efforts provides information …

The Impact Of Tracking Students In Mathematics On Middle School Student Achievement Outcomes, David P. Glasner

ETD Archive

The purpose of this study was to explore whether and how tracking structures in mathematics courses at the middle school level relate to differences in achievement between white and black students. This study used propensity score matching to compare the achievement outcomes of students enrolled in advanced mathematics classes, with students of comparable ability and background enrolled in grade-level math classes. The study sample was comprised of 1,510 students. Results from the study show that enrollment in an advanced-math course was associated with statistically significant improvement in math achievement for average-ability students. In addition, study results show that increases in …

Improving Mathematical Skill: The Perceptions Of Rural Minnesota Mathematics Educators, Michael Haskins

All Graduate Theses, Dissertations, and Other Capstone Projects

This qualitative phenomenological study is focused on the perceptions of mathematics educators on how to improve mathematical skill in high school students. The main purpose was to describe, recognize, and interpret the lived experience that have allowed educators to achieve the best results for their students. The population for the current study was mathematics educators that were located in a rural Southwest Minnesota city with medium population. These educators were either college educators or middle and high school teachers. The measures that were used to select the participants for the study were that they must hold at least a bachelor's …

A Study Of Strengthening Secondary Mathematics Teachers’ Knowledge Of Statistics And Probability Via Professional Development, Lina Devaul

UNLV Theses, Dissertations, Professional Papers, and Capstones

A professional development program (PSPD) was implemented to improve in-service secondary mathematics teachers’ content knowledge, pedagogical knowledge, and self-efficacy in teaching secondary school statistics and probability. Participants generated a teaching resource website at the conclusion of the PSPD program. Participants’ content knowledge change and self-efficacy change were measured. After PSPD, three participants were selected to represent three types of change. Teachers’ classroom instructions were video-taped and analyzed to explore the enactment of PSPD components, such as activities and concepts. Interviews were conducted to assess factors that facilitated teachers’ change and the enactment of PSPD components. Preservice teachers who majored in …

A Situated Perspective Of Rural Elementary School Mathematics Teachers’ Planning Practices, Ashley Paige Walther

Doctoral Dissertations

Rural areas are home to approximately 20% of the population in the United States. Schools that serve rural populations are geographically isolated and lack resources when compared to urban and suburban schools. Educators who serve students in rural schools are often born and raised in the same system in which they ultimately work. Elementary teachers are typically certified as generalists. As a result, many report a lack of confidence or proficiency in mathematics. This dissertation offers an analysis of the planning practices of rural elementary school mathematics teachers in a district located in the southeastern United States. The study sought …