Digital Commons Network^™

The Quaternion Algebra And Its Connections To Medical Imaging, Eli Q. Brottman

Honors Capstones

Pure mathematics topics have widely been regarded as having few practical applications; however, over time, many applications have arisen. One such application is using the quaternions, an abstract algebraic structure and extension of the complex number system, to enhance image quality. Quaternion numbers take the form z = a + bi + cj + dk, where a, b, c, d are real numbers, and i, j, k are distinct square roots of −1. By having three distinct square roots of −1, rather than just one (as in the standard complex number system), unique mathematical properties and practical uses arise. Quaternions …

Mathematics In A Social Justice World: A Statistical Reasoning Unit Investigating Modern-Day School Segregation, Zoe Alberts

Honors Projects

It is no secret that our daily lives are full of mathematical concepts and skills. Taking it one step further, many social justice issues are rooted in mathematical research and data. This idea should be the center of the mathematics classroom. According to Crystal Watson, a math teacher from Cincinnati City Schools District, we need to incorporate these social issues into the classroom because the “lack of opportunity to explore, learn, and master mathematical concepts keep out students, families, and communities oppressed (Watson, 2020)”. This is a fully functional, ready to use, digital mini unit over 7th grade statistical reasoning …

An Exploration Of The Numeracy Skills Required For Safe, Quality Nursing Practice, Anna Wendel

UNLV Theses, Dissertations, Professional Papers, and Capstones

The purpose of this study was to explore the numeracy skills required for safe, quality nursing practice. Using a descriptive mixed methods design, this study answered two research questions: 1) What numeracy skills do nurses perceive as important for providing safe, quality nursing care in the first three years of practice? 2) How do nurses incorporate numeracy skills into daily patient care during the first three years of practice? Early career nurses from a not-for-profit health care organization in the mid-Atlantic region of the United States (n=109) responded to an online survey tool developed by the student investigator that ranked …

Sum Of Cubes Of The First N Integers, Obiamaka L. Agu

Electronic Theses, Projects, and Dissertations

In Calculus we learned that 􏰅Sum^{n}_{k=1} k = [n(n+1)]/2 , that Sum^{􏰅n}_{k=1} k^2 = [n(n+1)(2n+1)]/6 , and that Sum^{n}_{k=1} k^{3} = (n(n+1)/2)^{2}. These formulas are useful when solving for the area below quadratic or cubic function over an interval [a, b]. This tedious process, solving for areas under a quadratic or a cubic, served as motivation for the introduction of Riemman integrals. For the overzealous math student, these steps were replaced by a simpler method of evaluating antiderivatives at the endpoints a and b. From my recollection, a former instructor informed us to do the value of memorizing these formulas. …

Does The Mathematics Level Affect Student Success In High School Physics?, Kassandra Surma

School of Education and Leadership Student Capstone Theses and Dissertations

The research question addressed in this study was: does the mathematics class level affect student success in high school physics? Topics explored in the literature review include the context of science course sequencing, the history of physics education in the United States, the disconnect between mathematics and physics in education, the mindsets of parents, students, and teachers about mathematics and science curriculum, and educational policies that affect state standards for curriculum, and graduation. Participants’ previous mathematics class level and success in their high school physics course were studied to find any correlation. To accomplish this, participants’ previous mathematics course and …

Writing In The Math Classroom In Order To Increase The Academic Proficiency In English Language Learners, Daniel Bahnaman

School of Education and Leadership Student Capstone Projects

learners. These students specifically struggle with mathematics, as it relies heavily on specific academic language that is constantly being scaffolded. Research has shown that writing in the mathematics classroom can assist English language learners develop academic vocabulary and therefore increase proficiency. This capstone project focuses on the research question: How can writing in the math classroom increase the academic language and proficiency in a classroom of 80% English language learners? The project gives an introduction into implementing writing in the middle school math classroom by providing a one-week introduction to journaling, a two-week eighth-grade curriculum with added writing pieces, and …

Number Talks For Multilingual Learners, Catherine Neuner

School of Education and Leadership Student Capstone Projects

Educators know that profound learning occurs when students are able to make meaningful connections and engage in academic discourse with their teachers and peers (Kazemi & Hintz, 2014; Moschkovich, 1999; Zwiers, 2008). We know that success in mathematics depends upon a strong foundation of number sense (Boaler, 2015). An interest in synthesising the most promising practices for language acquisition and the most promising practices for mathematics instruction led to the research question: How can Number Talks affect academic achievement and language development of fourth grade multilingual learners? The purpose of this project was to incorporate Number Talks into the fourth …

Inquiry-Based Learning And Growth Mindset In Third Grade Mathematics, Katherine Klein

School of Education and Leadership Student Capstone Projects

The research question investigated in this project was: How can inquiry-based learning in Elementary mathematics help create a growth mindset? The negative experiences with learning and teaching mathematics led her to research teaching strategies to help students and teachers have a growth mindset in the math classroom. The research showed how inquiry-based learning can be successful in math classrooms, and have an impact on student’s math mindsets. It also showed that teachers have an impact on students' growth versus fixed mindsets, therefore it is important to teach in ways that help students have a positive relationship with math. The author …

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

Theses and Dissertations

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

Recidivism Rates And Its Correlation To Mathematics And Reading Comprehension Among Detention Center Juveniles Who Participate In Trauma Informed Teaching, Isaac Collin

Dissertations

In this study rates of recidivism and their relationship with mathematics and reading comprehension will be analyzed. In the literature, a full comprehensive study of high school mathematics and reading was taught without the implementation of a watered-down academic curriculum. In order for detention center students to benefit from a detention center education they need instructors to expose them to state academic standards. The research questions guiding this study included 1) Is there a significant difference in the achievement scores in mathematics and reading skills and abilities based on the rates of recidivism at XYZ Detention Center, 2) Do XYZ …

The Impact Of Elementary Mathematics Coaches On Elementary Teachers' Attitudes Towards Teaching Mathematics, Samuel R. Ward

Electronic Theses and Dissertations

This study compares levels of mathematics anxiety and teacher efficacy between inservice and preservice elementary teachers. Prior research has indicated that mathematics anxiety is a common trait among elementary teachers. Mathematics anxiety has also been found to have a negative impact on preservice elementary teachers’ efficacy towards teaching mathematics. To address this challenge, some states have begun hiring elementary mathematics coaches to support elementary teachers. Besides focusing on mathematics anxiety and teacher efficacy, this study also investigated the impacts of elementary mathematics coaches on inservice elementary teachers.

A total of 174 inservice teachers and 51 preservice teachers completed a survey …

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 …

Degree Completion Of Underrepresented Minorities Majoring In Mathematics As A Function Of Undergraduate Student Programs, Marnice Anthony

Dissertations

Abstract

Students with disabilities, minorities, and women are underrepresented in the critical demand courses of study in Science, Technology, Engineering, and Mathematics (STEM) undergraduate college enrollment. Institutions of higher education in the United States of America are challenged with a continuous need for undergraduate students to choose and earn a STEM degree. The 2019 annual report of Women, Minorities, and Persons with Disabilities in Science and Engineering indicated these groups continue to be disproportionately underrepresented relative to the U.S. population. In 2014, the U.S. Department of Education reported that upon graduation students studying mathematics in college have higher employment rates …

One District’S Stakeholders’ Descriptions Of The Supports And Barriers Impacting The Use Of A Digital Mathematics Curriculum, Andrew R. Mills

All NMU Master's Theses

Digital Curriculum Resources are a new, fast-growing educational technology for learning mathematics that can allow today’s classroom to be transformed instantaneously. More efficient technology, however, does not necessarily equate to increased student achievement. To ensure that these technologies benefit their learners, it will become critical for schools to identify potential barriers and develop plans for addressing these barriers during implementation. This qualitative case study sought to better understand the experiences of various stakeholder groups at a suburban middle school that has used a digital mathematics curriculum for the last two school years. Using an interview protocol, two administrators, five teachers, …

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

Theses and Dissertations

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

English Language Learners Acquiring Tier 3 Mathematical Vocabulary In Upper Elementary Grades, Krosby Kludt

School of Education and Leadership Student Capstone Projects

As students progress through elementary school the mathematics they are supposed to be able to complete and understand gets more challenging. Part of the challenge is that students need to know the content-specific vocabulary for individual math units. For some students, the new vocabulary has been heard in passing at home, for others, especially those that English is a second language the new vocabulary is completely foreign to them. The capstone project that has been created is a vocabulary guide to help students and educators understand how to best approach new and unfamiliar vocabulary in mathematics for English language learners …

Making The Language Of Secondary Math Classrooms More Comprehensible For English Learners, Anna Olivia Zieske

School of Education and Leadership Student Capstone Projects

Zieske, A. Making the Language of Secondary Math Classrooms More Comprehensible for English Learners (2020) English Learners (ELs) typically score lower than native English speakers on standardized tests in mathematics partially because many math teachers are not equipped to provide language scaffolds for ELs in mainstream math classes. This project is a supplemental curriculum covering the topic of linear equations and graphing lines that can be used in any mainstream algebra 1 class. It is aligned with the 2007 Minnesota Academic Standards for Mathematics. The project consists of eight activities, both teacher and student versions, that provide language supports for …

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

Theses and Dissertations

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

Studies On Polynomial Rings Through Locally Nilpotient Derivations., Nikhilesh Dasgupta Dr.

Doctoral Theses

No abstract provided.

The Effects Of Project Lead The Way Launch Curriculum On Elementary Girls’ Perception And Career Interests In Science, Technology, Engineering, And Mathematics, Mina Blazy

Electronic Theses, Projects, and Dissertations

The United States has examined the quality of science, technology, engineering and mathematics (STEM) education since before the turn of the century. STEM educators are still having the conversation around why more women are not joining STEM pathways. Girls and boys as early as birth are curious about the world; through their own lens they learn about gravity from dropping spaghetti on the floor or seeing a small insect on the wall. As children get older they are influenced by the perceptions of their parents and peers.

This study looked at the perception and career interests of girls in STEM …

Learning To Fail? Student Experiences In Remedial Mathematics In Community Colleges, Margaret P. Fay

Dissertations, Theses, and Capstone Projects

Referral to remedial coursework in mathematics is a significant barrier to degree attainment for community college students, which in turn has serious consequences for their employment and earning prospects. Students are placed into remediation when they are deemed unprepared to engage in college-level coursework, most often based on a score on a placement test. Nationally, 59% of community college students are placed into remedial math courses. Of these, only 49% complete remediation and gain access to college-level coursework. Because a college-level math course is often a degree requirement, many students who fail to complete remedial math courses are forced to …

Determination Of A Graph's Chromatic Number For Part Consolidation In Axiomatic Design, Jeffery Anthony Cavallaro

Master's Theses

Mechanical engineering design practices are increasingly moving towards a framework called axiomatic design (AD). A key tenet of AD is to decrease the information content of a design in order to increase the chance of manufacturing success. An important way to decrease information content is to fulfill multiple functional requirements (FRs) by a single part: a process known as part consolidation. One possible method for determining the minimum number of required parts is to represent a design by a graph, where the vertices are the FRs and the edges represent the need to separate their endpoint FRs into separate parts. …

The Perceptions And Experiences Of Math Anxiety, Bradley Baas

Education | Master's Theses

Math anxiety has the potential to negatively impact a student’s knowledge and awareness of themselves. This anxiety leaves students with feelings of incapability in learning math because of their existing beliefs they received in their early years in their educations. The purpose of this research was to better understand the development of middle school eighth grade students and their teachers’ math anxiety while also exploring the obstacles that anxiety creates preventing and/or inhibiting teachers from teaching the required standardized lessons. My research shows that without a trusting relationship between the teacher and student, students experience a decline in mathematics performance …

Mathematics Coaching, Professional Development, And Teacher Practice, Beth Downing

M.S.Ed. in Educational Leadership Research Projects

Recently, math coaching has begun to be utilized in pockets of communities throughout the country. Coaching is a strategy that can be used to provide on site, continual professional development in a specific area. Although it has been used in literacy for decades, it is new to the area of math. Therefore, research on the effect of math coaching has been limited. There have been a handful of initial studies investigating the relationship between math coaching and teacher knowledge or student achievement, but the results are often conflicting (Althuser, 2015; Killion, 2017; Kutaka et al., 2017; Obara, 2010).

By learning …

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

Theses and Dissertations

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

Identifying Opportunities And Challenges Of Using Prodigy Math In A Sixth Grade Math Classroom, Corryn Lyons

Masters of Arts in Education Action Research Papers

No abstract provided.

The Effect Of Growth Mindset On Mathematical Performance In Algebra Support At Minnetonka Middle School East, Chelsie R. Anderson

Masters of Arts in Education Action Research Papers

No abstract provided.

Correcting Student Motivation In A Mathematics Classroom, Joshua Mcpheron

Honors Projects

The intentions of this action research study are to analyze the motivational components of students in a classroom and test which forms of encouragement will create the most motivation. Utilizing the Motivational Systems Theory of Martin E. Ford, students will be measured quantitatively and qualitatively for their classroom motivation and which component of the theory causes them to lack it. The results will reveal how each type of student responds to different teaching styles, and how they will be motivated as a result.

Video Case Materials And The Development Of Collective Professional Knowledge, Victoria D. Bonaccorso

Theses, Dissertations and Culminating Projects

The dynamic nature of teaching means that teachers are making in-the-moment decisions on a daily basis. Video case study professional development can be used as a way to provide teachers an opportunity to analyze real teaching scenarios to prepare to make these decisions in practice. While work has been done to reveal the effectiveness of using case studies as a teaching tool, there has not been research conducted to determine if video case studies can be used to foster the development of collective professional knowledge. This study utilizes a particular professional development model using video case studies grounded in the …

College Student Changing Attitudes And Beliefs About The Nature Of And Teaching Of Mathematics And Science, Stephen R. Skinner

Graduate Theses and Dissertations

With an estimated 17.3 million STEM jobs in the US, there exists a need for a STEMready workforce that is science literate with positive attitudes and beliefs toward the learning and teaching of mathematics and science (Graf, Fry, & Funk, 2018). However, the US has seen a steady decline in the number of high school students interested in STEM-related fields with only 16% of interested students with proven proficiency in mathematics and science and are ready to enroll in college STEM programs (ACT, 2017; Osborne & Dillon, 2008; Stake & Mares, 2001). With the decline in student interest, the US …