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The Perceptions Of Elementary Educators Regarding Mathematical Discourse Utilization In The Classroom: A Qualitative Phenomenological Study, Christina Anderson Nov 2023

The Perceptions Of Elementary Educators Regarding Mathematical Discourse Utilization In The Classroom: A Qualitative Phenomenological Study, Christina Anderson

Doctor of Education Program Dissertations

Given the lack of proper utilization of mathematical discourse in public elementary settings and the stagnation of mathematical proficiency, the purpose of this qualitative phenomenological study was to explore the perceptions of public elementary K-5 educators regarding the use of mathematical discourse as a pedagogical strategy. Because research indicates there are benefits to facilitating mathematical discourse, this study sought to understand the perceptions of public elementary K-5 teachers regarding the use of mathematical discourse as a pedagogical strategy in the classroom, their perceptions of different pedagogical strategies for facilitating mathematical discourse, and their perceptions of students engage in mathematical discourse …


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 Aug 2023

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 May 2023

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 Apr 2023

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 Jan 2023

“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 Aug 2022

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 Jun 2022

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 …


A Quantitative Study On The Impact Of Adapted School Instruction As A Result Of Covid-19 Pandemic On Student Standardized Math Scores In A Midwest Public School District At The Middle School Level, Matthew Walker Buschman Apr 2022

A Quantitative Study On The Impact Of Adapted School Instruction As A Result Of Covid-19 Pandemic On Student Standardized Math Scores In A Midwest Public School District At The Middle School Level, Matthew Walker Buschman

Dissertations

The COVID-19 Pandemic has presented the educational system with challenges that have caused adaptive instruction techniques for all student populations in one way or another. The researcher chose to focus specifically on the impact of adaptive instruction as a result of the COVID-19 Pandemic in the area of mathematics by evaluating student growth on STAR Math Assessments at the Middle School level for a Midwest Public School District. Through evaluating the data from pre-adaptive instruction to post-adaptive instruction as a result of COVID-19, the researcher aimed to identify possible declines in growth as a result of adaptive learning from the …


The Integration Of Computational Thinking In Mathematics Education: The Current State Of Practices In School, Outreach, And Public Educational Settings, Hatice Beyza Sezer Mar 2022

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 …


Reconceptualizing Mathematical Word Problems To Reflect Social Justice Principles And Culturally Relevant Teaching, Michelle Aryam Jackson Jan 2022

Reconceptualizing Mathematical Word Problems To Reflect Social Justice Principles And Culturally Relevant Teaching, Michelle Aryam Jackson

Theses and Dissertations

As currently developed and written, mathematical word problems lack cultural relevance for an increasingly culturally diverse population in elementary schools in the United States. The design and context of mathematical word problems promote the norms, values, and beliefs of the dominant culture while potentially negatively influencing students from non-dominant culture engagement and achievement in mathematics.

The purpose of this sequential, explanatory mixed-methods study was threefold: to (a)examine in-service teachers’ preexisting beliefs about the relevance of social justice and culturally relevant teaching related to their mathematics instructional practices before receiving a synchronous online professional development program; (b) assess the impact of …


Learning Mathematics While Black In Rural Appalachia: Black Students' Counterstories And Freedom Dreams About Mathematics Education, Sean P. Freeland Jan 2022

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 …


Examining The Effectiveness Of Khan Academy As An Instructional Tool In A Highschool Mathematics Course, Shane C. Kreller Jan 2022

Examining The Effectiveness Of Khan Academy As An Instructional Tool In A Highschool Mathematics Course, Shane C. Kreller

MSU Graduate Theses

With the many educational resources available to today’s educators, it is critical that educators utilize the best options to maximize instructional time and resources. With the widespread use of Khan Academy, it is worthwhile to examine if its most well-known attribute, its math program, is effective in improving student outcomes. This study examined if the use of Khan Academy in a high school math course would improve participating student scores over the course of a quarter marking period. The researcher anticipated that participating students would experience higher math scores and increased confidence in their ability to handle covered mathematical concepts.


Preparing Preservice Mathematics Teachers To Teach For Social Justice, Jodie Cahill Dec 2021

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 May 2021

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 Sports To Develop Community In The Mathematics Classroom, Benjamin Lawson Apr 2021

Using Sports To Develop Community In The Mathematics Classroom, Benjamin Lawson

Honors Projects

A positive classroom climate and community should be achieved in every classroom (Frisby, 2020, pgs. 199-200). This sense of community is especially sparse in the field of mathematics education. According to the High School Athletics Participation Survey (2019) the number of high schoolers participating in sports continues to rise. Sport ideologies could offer a bridge to connect mathematics classrooms and establish community in ways a pure educational perspective has not been able to. The purpose of this analysis is to shed light on an alternate perspective of mathematics education and incorporate sport philosophies to foster community building by establishing rapport, …


A Psychometric Analysis Of The Precalculus Concept Assessment, Brian Lindley Jones Apr 2021

A Psychometric Analysis Of The Precalculus Concept Assessment, Brian Lindley Jones

Theses and Dissertations

The purpose of this study was to examine the psychometric properties of the Precalculus Concept Assessment (PCA), a 25-item multiple-choice instrument designed to assess student reasoning abilities and understanding of foundational calculus concepts (Carlson et al., 2010). When this study was conducted, the extant research on the PCA and the PCA Taxonomy lacked in-depth investigations of the instruments' psychometric properties. Most notably was the lack of studies into the validity of the internal structure of PCA response data implied by the PCA Taxonomy. This study specifically investigated the psychometric properties of the three reasoning constructs found in the PCA taxonomy, …


Using Logistic Regression To Examine The Relationship Between Early Alert Systems And Success In Mathematics, Jennifer-Anne Tekawitha Hill Jan 2021

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, …


Supporting Ambitious Mathematics Practices In The Face Of School Reform: A Case Study Of High School Leadership, Jacklyn Van Ooyik Jan 2021

Supporting Ambitious Mathematics Practices In The Face Of School Reform: A Case Study Of High School Leadership, Jacklyn Van Ooyik

Electronic Theses and Dissertations

School leaders—both administrators and mathematics leaders—play a critical role in the instructional improvement of teachers in schools. However, current research in mathematics education has not provided a complete picture of the network of administrators, mathematics leaders, and teachers and their roles in supporting ambitious mathematics practices. The purpose of this case study is to examine how ambitious mathematics practices are developed, supported, and sustained within a high school facing pressures for test score improvement and graduation competencies and the roles and responsibilities of school leaders that contribute to that support. In order to address this issue, my primary research question …


Teacher Understanding Of Instructional Strategies In Elementary Mathematics, Erica Boatwright Glover Jan 2021

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 Jan 2021

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 …


A Community Of Learning In An Elementary School Mathematics Classroom, Megan Louise Roeder Aug 2020

A Community Of Learning In An Elementary School Mathematics Classroom, Megan Louise Roeder

Theses, Dissertations and Culminating Projects

The goal of this study was to investigate opportunities for cultivating a community of learning in an elementary school mathematics classroom using four guiding principles for productive disciplinary engagement. A community of learning involves teachers and students participating equally in negotiating, sharing, and producing knowledge as co-learners, coteachers, and co-collaborators in the classroom. Characteristics of a community of learning align with effective teaching and learning practices described by national governing bodies and researchers in the field of mathematics education. The essence of a community of learning is beneficial in an elementary mathematics classroom because it invokes deep learning about disciplinary …


Social Justice Mathematical Modeling For Teacher Preparation, Patrick L. Seegmiller Aug 2020

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 …


Teaching Students To Communicate With The Precise Language Of Mathematics: A Focus On The Concept Of Function In Calculus Courses, Derrick S. Harkness Aug 2020

Teaching Students To Communicate With The Precise Language Of Mathematics: A Focus On The Concept Of Function In Calculus Courses, Derrick S. Harkness

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The use of precise language is one of the defining characteristics of mathematics that is often missing in mathematics classrooms. This lack of precision results in poorly constructed concepts that limit comprehension of essential mathematical definitions and notation. One important concept that frequently lacks the precision required by mathematics is the concept of function. Functions are foundational in the study undergraduate mathematics and are essential to other areas of modern mathematics. Because of its pivotal role, the concept of function is given particular attention in the three articles that comprise this study.

A unit on functions that focuses on using …


The Effects Of Teacher Professional Development And Self-Efficacy On Classroom Uses Of Information And Computer Technologies, Elif N. Gokbel May 2020

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 …


Multiplication Fact Fluency And Multiple Intelligences In A Third Grade Classroom, Julie A. Nugent May 2020

Multiplication Fact Fluency And Multiple Intelligences In A Third Grade Classroom, Julie A. Nugent

M.S.Ed. in Educational Leadership Research Projects

The purpose of this quasi-experimental study was to examine if teaching students their multiplication facts in a way that utilized their multiple intelligence strength would be a more effective way of teaching students their multiplication facts than having students learn their multiplication facts through rote memorization only. All four groups who received a teaching of multiplication facts intervention made gains in learning their multiplication facts. The three multiple intelligence groups did make more gains in learning more facts, than the one group who only learned their facts through rote memorization. However, the rote memorization group was able to give more …


Teaching And Supporting Authentic Math Experiences In Grades 6-12, Hannah Lakin May 2020

Teaching And Supporting Authentic Math Experiences In Grades 6-12, Hannah Lakin

M.S.Ed. in Educational Leadership Research Projects

This qualitative study was designed to understand the experiences of middle and high school

educators in teaching mathematics that is authentic and relevant to students’ lives. With many studies in the literature review confirming the importance and effectiveness of authentic opportunities in math learning, the study looked at what holds educators back from these teaching practices. In-depth interviews with five mathematics teachers of various levels of experience offered insights into processes, barriers, and support needed to develop students’ classical, critical, and community knowledge in mathematics. The study revealed a theory of the systemic shifts necessary for teaching authentic mathematics in …


The Effects Of Math Manipulatives In The Classroom, Emily Rowly May 2020

The Effects Of Math Manipulatives In The Classroom, Emily Rowly

M.S.Ed. in Educational Leadership Research Projects

This study is a quantitative study of the correlation between student achievement and the use of individual math toolkits. Research indicates that the use of manipulatives has a positive effect on student learning in math classrooms. However, studies are limited to manipulative use in one unit of study or one grade level. In addition, researchers and teachers use only one type of manipulative when looking for growth in student achievement. In this study, students with individual toolkits comprised of many manipulatives from their program of study were followed over a nine-week period. Students had access to manipulatives and exhibit voice …


Teach-To-One Blended Mathematics' Impact On Middle School Students' Mathematics Achievement, Navdeep Dhindsa Jan 2020

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 …


Elementary Statistics Instructors' Uptake Of The Teaching Practices Recommended By The American Statistical Association, Marisol Sanchez Cortez Dec 2019

Elementary Statistics Instructors' Uptake Of The Teaching Practices Recommended By The American Statistical Association, Marisol Sanchez Cortez

Theses and Dissertations

Previous studies point out there has been a wide gap, in the teaching of mathematics, between the practices recommended in the credential programs and the practices teachers actually do. The purpose of this study is to explore how consistent the teaching practices of introductory statistics instructors are to the recommendations endorsed by the American Statistical Association, to understand what their attitudes to the gap are, and to identify the factors that prevent the instructors from implementing the recommended practices. Data were collected from nine statistics instructors at a state university through survey, classroom observations, and interviews. Findings indicate that the …


Pre-Service Elementary Teachers' Use Of Spatial Diagrams: Investigations Of Unbounded Shearing On Solid Figures, Camden G. Bock Dec 2019

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 …