Education Commons^™

Tasks For Learning Trigonometry, Sydnee Andreasen

All Graduate Reports and Creative Projects, Fall 2023 to Present

Many studies have been done using task-based learning within different mathematics courses. Within the field of trigonometry, task-based learning is lacking. The following research aimed to create engaging, mathematically rich tasks that meet the standards for the current trigonometry course at Utah State University and align with the State of Utah Core Standards for 7th through 12th grades. Four lessons were selected and developed based on the alignment of standards, the relevance to the remainder of the trigonometry course, and the relevance to courses beyond trigonometry. The four lessons that were chosen and developed were related to trigonometric ratios, graphing …

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 …

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, …

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 …

A Validity Study Of The Cognitively Guided Instruction Teacher Knowledge Assessment, Debra Smith Fuentes

Theses and Dissertations

This study reports the development of an instrument intended to measure mathematics teachers' knowledge of Cognitively Guided Instruction (CGI). CGI is a mathematics professional development framework based on how students think about and solve problems and how that knowledge guides instruction for developing mathematical understanding. The purpose of this study was to (a) analyze and revise the original CGI Teacher Knowledge Assessment (CGI TKA), (b) administer the revised CGI TKA, and (c) analyze the results from the revised CGI TKA. As part of the revision of the original CGI TKA, distractor analysis identified distractors that could be improved. Experts in …

Cognitive, Neural, And Educational Contributions To Mathematics Performance: A Closer Look At The Roles Of Numerical And Spatial Skills, Zachary C.K. Hawes

Electronic Thesis and Dissertation Repository

The principal aims of this thesis were to (1) provide new insights into the cognitive and neural associations between spatial and mathematical abilities, and (2) translate and apply findings from the field of numerical cognition to the teaching and learning of early mathematics.

Study 1 investigated the structure and interrelations amongst cognitive constructs related to numerical, spatial, and executive function (EF) skills and mathematics achievement in 4- to 11-year old children (N=316). Results revealed evidence of highly related, yet separable, cognitive constructs. Together, numerical, spatial, and EF skills explained 84% of the variance in mathematics achievement (controlling for chronological age). …

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 …

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 Bellringer Sequence: Investigating What And How Preservice Mathematics Teachers Learn Through Pedagogies Of Enactment, Mary A. Ochieng

Dissertations

This study examines preservice teacher learning through pedagogies of enactment—approaches to teacher education that allow preservice teachers to learn by doing what teachers do. Preservice teacher (PST) learning is examined through the implementation of the Bellringer Sequence (BRS), a pedagogy of enactment conceptualized in the study. The BRS is centered around bellringers—brief mathematical tasks implemented as students arrive for class. The BRS is a sequence of four activities centered on a bellringer: preparation (for teaching a bellringer) implementation (of the bellringer with peers), debriefing (discussing the implementation as colleagues), and written reflection (about the effectiveness of the bellringer).

Practice-based approaches …

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 …

Discursive Negotiation And (Re)Construction Of Professional Identities For Mathematics, Angela Rae Crawford

Boise State University Theses and Dissertations

This qualitative study explores how discourse communicates professional identities for mathematics in a context of pedagogical reform. The central research question is: In a case of mandatory mathematics professional development, what professional identities for mathematics are expressed, (re)constructed, and negotiated through discourse? This study takes a poststructuralist approach to discourse analysis. The purpose is to describe ways discourse communicates professional identities, or understandings about what it means to be a good mathematics teacher, in a context that may ask teachers to change their pedagogical practice. Data were collected by recording a mandatory, full-day professional development meeting for mathematics teachers of …

Integrating Math And Literature In The Elementary Classroom, Megan Maureen Boebinger

Undergraduate Honors Thesis Collection

Growing up, I was the student who hated to go to math class. I was not bad at math, I just could not seem to find a way to make it interesting or exciting. I had trouble understanding the purpose of math and how it was applicable to my own life. Word problems were my worst enemy; I appreciated the attempt to make math seem relatable, but never saw the use. Many of these problems involved building or buying something; topics I had no experience with in elementary school. I did not see why I needed to know the exact …

Online Student Discussions In A Blended Learning Classroom: Reconciling Conflicts Between A Flipped Instruction Model And Reform-Based Mathematics, Lewis L. Young

Theses and Dissertations

Two ideas are prevalent in teacher professional development today. Teachers are finding new and innovative ways to incorporate technology into their classroom. The use of video and social media is increasing. One type of pedagogy that has emerged among the blended learning pedagogies is flipped instruction, where students participate in some of the instruction outside of the classroom. Another prevalent idea is the focus on inquiry learning and reform-based mathematics instruction. This pedagogy adheres to the idea that students can use their problem solving skills to understand complex mathematics. This qualitative content analysis outlines how one researcher sought to find …

A Method For Assessing And Describing The Informal Inferential Reasoning Of Middle School Students, Joshua Michael Goss

Dissertations

Informal Inferential Reasoning (IIR) has emerged in the last decade in the study of statistics education. Developing students’ IIR ability is seen as a way of preparing students for the important topic of Formal Statistical Inference (FSI); however, research is still needed in order to investigate how students transition between informal and formal statistical reasoning. A primary difficulty is that we do not have a way of assessing and describing students’ IIR ability levels. In order to address this, an Assessment of Informal Inferential Reasoning (AIIR) was developed, along with a Structure of Observed Learning Outcomes (SOLO) taxonomy (Biggs & …

Assessing U.S. High School Mathematics Students' Dependency On Calculators For Basic Arithmetic Operations Involving Integers From Single-Digit Fact Families, John Jeremy Sneed

Open Access Theses & Dissertations

This study was designed to investigate the extent to which high school students use calculators to perform basic operations, and how well they actually perform those same operations without using calculators. The investigation involved the testing of math classes of students--male and female, mixed ethnicities--in grades nine through twelve. Students were asked to perform all four basic math operations (add, subtract, multiply, divide) involving integers based on single-digit addition and multiplication fact families with and without calculators. The testing was in two environments--timed and untimed, with students recording their completion times--in order to investigate discrepancies in students' calculator use in …

Raising Teacher Sensitivity To Key Numeracy Competencies In The Early Years, Kelly Norris

Theses: Doctorates and Masters

Mathematical competence is a key capability for success in adult life, and yet many students do not achieve functional levels of numeracy during their school lives. Furthermore, many teachers report that they lack the confidence in teaching mathematics that they have for teaching literacy. Research indicates that it is possible to predict which students are likely to have difficulties in mathematics as early as the Pre-Primary year, and interventions can be provided which are effective in minimising such difficulties. The assumption framing this project is that raising teachers’ understanding of and thus sensitivity to markers of the skills most predictive …

The Use Of Applets For Developing Understanding In Mathematics: A Case Study Using Maplets For Calculus With Continuity Concepts., Raymond Ellis Patenaude

Theses and Dissertations

The Common Core State Standards for Mathematics (CCSSM) are founded on a long history of mathematics education research emphasizing the importance of teaching mathematics for understanding. The CCSSM along with the National Council of Teachers of Mathematics (NCTM) recommend the use of technology in the teaching of mathematics. New mobile technologies in society facilitate use in mathematics classrooms, and these technologies rely on software applications called applets. Certain applets have been developed for use in teaching mathematics.

This study investigated the questions: Is it possible to determine the characteristics of applets that lead students toward greater understanding of mathematical concepts? …

The Teaching And Learning Of Word Problems In Beginning Algebra : A Nigerian (Lagos State) Study, Omolola A. Ladele

Theses: Doctorates and Masters

At both the junior and senior secondary school levels in Nigeria, student performance in mathematics examinations has been poor. Within the context of large classes, with inadequate facilities, and teaching and learning in a second language, algebra and algebra word problems are introduced to students during their first year of junior secondary school. The transition from primary school arithmetic to the use of the algebraic letter is challenging to students and it is important that teachers should know the likely difficulties and misconceptions students may have as they begin algebra (Welder, 2012).

In this study, the impact of a teacher …

Professionalism: What Is It And Are We Teaching For It?, Brian K Tate

Doctoral Dissertations

With rising accountability standards and the need for content specialists within education, the qualifications of mathematics teachers have become increasingly scrutinized. For over three decades, within the parameters of educational reform, the need for the professionalization of teaching has reoccurred (Carnegie Task Force, 1986). When examining the nature of teacher professionalism, no concise definition within the educational community exists (Noddings, 1992). The purpose of this study was to take characteristics defined by the medical and law fields and use them to develop a definition of professionalism within mathematics education. Once a clear set of characteristics was identified, the study then …

Journaling As A Test Preparatory Measure In Secondary Mathematics: Successful Student Strategies, Lloyd E. Nickerson Ii

Master of Education Research Theses

This study examines a math journal writing assignment comparing how high school (grades 10 through 12) algebra students who performed well and students who performed poorly on traditional mathematics tests constructed their corresponding journal entries. Statistically significant differences found indicated that students who performed well on the tests were more likely to have originally composed the text and examples in their journal entries, and students who performed poorly were more likely to have copied much of the mathematical language and examples in their journal entries from their textbooks. Students who performed well on the test were also more likely to …

How Elementary School Teachers Learn To Teach Mathematics, Phyllis Schneider Kirschner

Educational Studies Dissertations

This study examines how elementary school teachers learned to teach mathematics during their pre-service education and during their first few years of teaching. The study identifies those experiences teachers found to be most significant in their development as mathematics teachers. All seven teachers in this study had been taught using procedural methods and each had to find a way to integrate conceptual mathematics education into their own understanding. The study examines the teachers' motivations for pursuing this understanding and the circumstances that provided opportunities to do so.