Digital Commons Network^™

Accuracy Of The Teacherinsight Online Perceiver Tool In Determining The Effectiveness Of High Rated And Low Rated Math And Science New Hire Teachers Following One Year And Three Years Of Single School District Employment, Nicole A. Regan

Student Work

The purpose of this study is to explore the accuracy of the TeacherInsight online perceiver tool (Gallup University, 2007) in determining the effectiveness of high rated (n =14) and low rated ( n =36) math and science new hire teachers summative appraisal ratings, completed graduate coursework, and retention status following one year and three years of single school district employment.

The Effects Of Changing From A Traditional Mathematics Curriculum To An Integrated Mathematics Curriculum On Student Mathematics Learning In Georgia, Catherine Lynn Mallanda

Dissertations

In 2005, the state of Georgia adopted a new integrated mathematics curriculum, the Georgia Performance Standards (GPS), which included a task-based approach for instruction. The purpose of this study was to determine if the new Georgia Performance Standards for mathematics increased students’ mean mathematics Preliminary SAT/National Merit Scholarship Qualifying Test (PSAT/NMSQT) scores or induced changes in the distribution of students’ scores on the PSAT/NMSQT. In addition, it was determined whether the level of course the student took, the type of implementation of the GPS curriculum or the preparation for implementation affected the PSAT/NMSQT scores. The results of the study indicated …

Acquisition Of Mathematical Vocabulary Using Constant Time Delay With Individuals With Moderate And Severe Disabilities., Connie Elaine Morrison 1974-

Electronic Theses and Dissertations

Constant Time Delay (CST) has been used extensively as a procedure to teach children with disabilities a variety of skills. There is a preponderance of evidence that this instructional strategy is a highly effective (Handen & Zane, 1987; Koscinski & Gast, 1993; & Schuster, Stevens, & Doak, 1990). However, there appears to be a lack of research regarding the use of CTD with children with moderate and/or severe disabilities in learning core content vocabulary. Therefore, the primary purpose of this study was to determine if students with moderate and severe disabilities could acquire core mathematical vocabulary content through the use …

Algebra Knowledge In Early Elementary School Supporting Later Mathematics Ability., Scott A. Strother 1979-

Electronic Theses and Dissertations

The current study explored the impact that algebra knowledge in 1st and 2nd grade can have in growth and achievement in mathematics through 5th grade. Previous studies have shown the positive impact of teaching algebra in middle school (e.g. Smith, 1996). Other studies have shown that students can learn and apply fundamental algebra concepts even earlier, including early elementary grades (e.g. Schifter et al., 2008; Brizuela and Earnest, 2008). The current study aimed to expand upon this research by showing students' knowledge of early algebra concepts can predict positive longitudinal outcomes. This would support cognitive and education theories that students …

Analyzing Common Algebra-Related Misconceptions And Errors Of Middle School Students., Sarah B. Bush

Electronic Theses and Dissertations

The purpose of this study was to examine common algebra-related misconceptions and errors of middle school students. In recent years, success in Algebra I is often considered the mathematics gateway to graduation from high school and success beyond. Therefore, preparation for algebra in the middle grades is essential to student success in Algebra I and high school. This study examines the following research question: What common algebra-related misconceptions and errors exist among students in grades six and eight as identified on student responses on an annual statewide standardized assessment? In this study, qualitative document analysis of existing data was used …

The Impact Of Singapore Math On Student Knowledge And Enjoyment In Mathematics, Jenny Taliaferro Blalock

Doctoral Dissertations

The purpose of this study was to investigate the effect of the Singapore Math curriculum and approach to teaching on enjoyment and knowledge in mathematics in one rural school district in north Louisiana. The quantitative data used were collected from a Math Enjoyment Inventory and a mixed skills pre and posttest. Additional supplemental data were collected from a Teacher Response Form. All data were gathered in the 2010–2011 school year, and an intact population was utilized. Participants were categorized into two groups, the Singapore Math group and the traditional math group. The participating district implemented Singapore Math in the fall …

Spectral Properties Of Large Dimensional Random Circulant Type Matrices., Koushik Saha Dr.

Doctoral Theses

Consider a sequence of matrices whose dimension increases to infinity. Suppose the entries of this sequence of matrices are random. These matrices with increasing dimension are called large dimensional random matrices (LDRM).Practices of random matrices, more precisely the properties of their eigenvalues, has emerged first from data analysis (beginning with Wishart (1928) [132]) and then from statistical models for heavy nuclei atoms (beginning with Wigner (1955) [130]). To insist on its physical applications, a mathematical theory of the spectrum of the random matrices began to emerge with the work of E. P. Wigner, F. J. Dyson, M. L. Mehta, C. …

Simplicial Bredon-Illman Cohomology With Local Coefficients., Debashis Sen Dr.

Doctoral Theses

The notion of cohomology with local coefficients for topological spaces arose with the work of Steenrod [Ste43, Ste99], in connection with the problem of extending sections of a fibration. This cohomology is built on the notion of fundamental groupoid of the space and can be described by the invariant cochain subcomplex of the cochain complex of the universal cover under the action of the fundamental group of the space. This later description is due to Eilenberg [Eil47]. Cohomology with local coefficients finds applications in many other situations.We focus on one such application of this cohomology which is due to S. …

Mathematics: Giving Classical, Christian Education Its Voice, James W. Seidel

Master of Education Program Theses

Classical, Christian education developed in the late twentieth century as the result of the influence of authors and educators such as Dorothy Sayers, Douglas Wilson, and Mortimer Adler. Building upon the educational approach taken in the Middle Ages and earlier, the classical, Christian approach has slowly grown in popularity over the past thirty years. As classical, Christian education has matured, however, some areas of its educational philosophy have developed more slowly than others. In particular, mathematics education within the classical, Christian model has received minimal treatment. This thesis attempts to initiate a more intentional educational philosophy for mathematics in a …

Yes We Can Achieve In Mathematics And Why We Don't : African American Female Eleventh And Twelfth Grade Students In A Career And Technical Setting., Courtenay Grace-Rochelle Mayes

Electronic Theses and Dissertations

The underachievement of African American students in the mathematics classroom and the underrepresentation of African Americans in advanced mathematics courses and mathematics related career fields has been a concern for the mathematics education community for many years. The objective of this research was to investigate the perceptions and mathematical experiences of seven African American female high school students who were on a continuum from succeeding at high levels to struggling in mathematics. These particular African American females were eleventh and twelfth grade students enrolled at a career and technical high school located in the Midwestern United States of America. This …

Effective Technology Strategies Teachers Use In The Urban Middle Grades Mathematics Classroom, Tammie R. Cravens

Middle-Secondary Education and Instructional Technology Dissertations

The 21^st century mathematics classroom looks and operates differently than it did half a century ago. Not only are teachers expected to facilitate activities rather than lecture, they are also expected to utilize technology. The National Council of Teachers of Mathematics established the technology principle to guide teachers into this practice in 2000. Today there are middle school mathematics teachers who use technology effectively in the classroom. However, there is a dearth of literature in this area on how they select and use technology. The purpose of this qualitative study is to understand the process by which these teachers …

Mapping The Road To Instructional Coach Effectiveness: Exploring The Relationship Between Instructional Coaching Efficacy, Practices, And Outcomes, Marsha Mccrary

Middle-Secondary Education and Instructional Technology Dissertations

Despite the presence and potential impact of instructional coaches, many schools are not experiencing significant improvements in teachers’ practices or student achievement. In gaining more insight into forces that impact instructional coach effectiveness, this study (a) explored the relationship between sources of instructional coaching efficacy and dimensions of instructional coaching efficacy [Mathematics Content & Mathematics-Specific Pedagogy (ME), Student Centered & General Pedagogy (SE), Interpersonal & Communication Coaching (IE), and Personal Coach Characteristics]; and (b) explored the relationship between dimensions of instructional coaching efficacy and instructional coach outcomes. Participants included teachers (n=144) and their instructional coaches (n=19), from elementary …

A Validation Of The Monitoring Academic Progress Mathematics: An Experimental Multidimensional Group Administered Curriculum-Based Measure Of Mathematics Fluency And Problem Solving, Michael Brandon Hopkins

Doctoral Dissertations

The study investigated the psychometric properties of a newly developed math curriculum-based measure, the Monitoring Academic Progress: Mathematics (MAP:M), through examination of its internal consistency, alternate-form, slope, and test-retest reliability and validity. Participants included 1688 first through third-grade students from a school district in Northeast Tennessee. Application of Generalizability Theory produced reliability coefficients, score variances, and standard-error-of-measures (SEM) for both absolute and relative decisions based on a particular number of probes. MAP:M reliability coefficients for relative decisions ranged from .67 to .97 across eleven probes. The highest percentage of score variance at all three grades was attributed to the Person …

Effect Of Geometer’S Sketchpad On Student Knowledge And Attitude, David J. Dekker

Master of Education Program Theses

This study examines the effects of Geometer’s Sketchpad on student achievement and attitudes in algebra classrooms. It has a quasi-experimental design. The sample included 93 students enrolled in Advanced Algebra courses at Calvin Christian High School in Grandville, MI. Four classes participated in a five-day unit that explored graphs of equalities and inequalities. Two classes used traditional graphing calculators and two classes used Geometer’s Sketchpad. One class of each type took a pretest to measure prior knowledge. All classes took a posttest and attitude survey at the end of the study. A t-test was used to compare class averages. There …

Does The Use Of A Graphing Calculator Tutorial Affect The Attitudes, Achievement, And Calculator Ability Of Non-Mathematics Majors In A Calculus Course?, Kari Michelle Everett

Dissertations

The use of graphing calculators in a mathematics classroom is becoming more common place. Teaching with technology has allowed for advancements in the rapidity with which students learn and the degree to which they retain the material taught. As a result, teachers have time to delve more deeply into mathematical topics that might otherwise have merely been touched upon.

This study shows the effects of a graphing calculator tutorial for non-mathematics major students taking calculus as a required course. Qualitative methods were used in order to provide information about the types of students taking a calculus course for nonmathematic students. …

An Examination Of The Yang-Baxter Equation, Alexandru Cibotarica

Master's Theses

The Yang-Baxter equation has been extensively studied due to its application in numerous fields of mathematics and physics. This thesis sets out to analyze the equation from the viewpoint of the algebraic product of matrices, i.e., the composition of linear maps, with the intent of characterizing the solutions of the Yang-Baxter equation.

We begin by examining the simple case of 22 matrices where it is possible to fully characterize the solutions. We connect the Yang-Baxter equation to the Cecioni-Frobenius Theorem and focus on obtaining solutions to the Yang-Baxter equation for special matrices where solutions are more easily found. Finally, …

Mathematical Modeling And Analysis Of Epidemiological And Chemical Systems, Calistus N. Ngonghala

Graduate Theses, Dissertations, and Problem Reports

This dissertation focuses on three interdisciplinary areas of applied mathematics, mathematical biology/epidemiology, economic epidemiology and mathematical physics, interconnected by the concepts and applications of dynamical systems.;In mathematical biology/epidemiology, a new deterministic SIS modeling framework for the dynamics of malaria transmission in which the malaria vector population is accounted for at each of its developmental stages is proposed. Rigorous qualitative and quantitative techniques are applied to acquire insights into the dynamics of the model and to identify and study two epidemiological threshold parameters reals* and R0 that characterize disease transmission and prevalence, and that can be used for disease control. It …

Ball Remotality In Banach Spaces And Related Topics, Tanmoy Paul Dr.

Doctoral Theses

In this work we aim to study Ball Remotality and densely Ball Remotality of subspaces in Banach spaces. We study this property in many classical spaces of type c0, c,\\â„“p and C(K) where K is a compact Hausdorff space. The said problem also discussed for Banach spaces when considered as a subspace in its bidual. It is observed M-ideals in C(K) are densely ball remotal. It is shown that a particular type of M-ideal in A(K) where K is a Choquet simplex is densely ball remotal.

Student Centered Homogeneous Ability Grouping: Using Bronfenbrenner's Theory Of Human Development To Investigate The Ecological Factors Contributing To The Academic Achievement Of High School Students In Mathematics, Karla Denise Webb

Electronic Theses and Dissertations

The purpose of this qualitative study was to explore the interconnectedness of the environment, human development, and the factors that influence students' academic achievement in a homogeneous ability grouped mathematics classroom. The study consisted of four African American urban high school juniors, 2 male and 2 female. During the 12 week data collection period, the participants engaged in a focus group interview, photo elicited interview, and a member check interview. The interviews were recorded and later transcribed, analyzed, and coded for codes, categories, and emerging themes. In order to obtain an in-depth understanding of the interconnectedness of students enrolled in …

The Effects Of Video Self-Modeling On The Math Performance Of Adolescents With Developmental Disabilities, Cami Elizabeth Burton

Theses and Dissertations

The current study examined the effects of video self-modeling (VSM) via an iPad on the mathematics performance of students with developmental disabilities. The learning task was presented from the consumers' point of view; students learned to estimate the amount of money they should use to pay for a given item and the amount they should receive back to help ensure that they are treated honestly by merchants. Through VSM, video clips showing the step-by-step problem solving process were synchronized onto an iPad. Students were shown how to use the iPad and access the video clips in order to watch themselves …

Investigating The Influence Of Computer Programs On Perception And Application Of Mathematical Skills, Neil M. Bly

Theses and Dissertations

Existing research suggests an intuitive relationship between mathematics and computer programming. These previous studies have focused primarily on the cognitive connection and have ignored the potential impact of programming on an individual's perception and application of mathematical skills. By surveying and interviewing a variety of participants, this study aims to provide a descriptive foundation for the experiential side of cognitive correlations and causalities. These phenomenological accounts, garnered from individual interviews of seven different programmers, indicate four specific areas of interest. First, learning to program provided context for many abstract concepts. Second, programming illustrated the important distinction between understanding the application …

The Predictive Validity Of High School Grades To College Remedial Mathematics Performance, John Dozier

College of Education Theses and Dissertations

The concerns for remedial education are not new – as remedial education has a long history. Yet, the issues are gaining prominence in our discourse about improving the outcomes associated with post-secondary education. Any discussion of improvement is often accompanied by a discussion regarding the challenge posed to post-secondary institutions in meeting the growing remedial needs of the students that they receive. The purpose of this research is to evaluate community college placement of students into remedial coursework through an examination of whether a student’s high school mathematics preparation and mathematics grade average are a significant determinant of their completion …

A General Look At Posets Rings And Lattices, Courtney A. Phillips

Honors Theses

A lattice is a type of structure that aims to organize certain relationships that exist between members of a set. This thesis seeks to define lattices, and demonstrate the different types. It will give examples of lattices, as well as various ways to describe and classify them.

In Students' Words: The Development Of Student Attitudes Toward Mathematics - A Social Perspective, Dianne Kathryn Kelly

Graduate Doctoral Dissertations

Student interest in pursuing advanced studies and careers in Science, Technology, Engineering, and Mathematics (STEM) has garnered much attention lately from government, business, and education leaders due to inadequate flow in the United States' STEM pipeline. Existing research points to mathematical self-efficacy and to mathematical self-concept beliefs as integral to the likelihood that a student will pursue a career in a STEM field. Students' identities, such as the "good-math-student" identity need to be verified in order for students to enact them. Both identity verification and attitude are influenced by self-efficacy and self-concept. Existing research also points to teachers, parents, and …

Using Dirichlet Process Priors For Bayesian Mixture Clustering, Xiao Huang

All Theses and Dissertations (ETDs)

We describe a non-parametric Bayesian model using genotype data to classify individuals among populations where the total number of populations is unknown. The model assumes that a population is characterized by a set of allele frequencies that follow multinomial distributions. The Dirichlet Process is applied as the prior distribution. The method estimates the number of populations together with the allele frequencies and the ancestry coefficients of each individual. Distance matrices and bootstrap support numbers based on MCMC runs are generated to create a phylogeny of the ancestral populations.

Geometric Invariants For A Class Of Semi-Fredholm Hilbert Modules., Shibananda Biswas Dr.

Doctoral Theses

One of the basic problem in the study of a Hilbert module H over the ring of polynomials C[z] := C[z1, . . . , zm] is to find unitary invariants (cf. [15,7]) for H. It is not always possible to find invariants that are complete and yet easy to compute. There are very few instances where a set of complete invariants have been identified. Examples are Hilbert modules over continuous functions (spectral theory of normal operator), contractive modules over the disc algebra (model theory for contractive operator) and Hilbert modules in the class Bn for a bounded domain C …

Equitent Problems, Payton E. Lindsay, Katelynn Kochalski, Gary R. Lawlor Phd

Honors Theses

No abstract provided.

It's Nothing Personal: Competing Discourses For Girls And Women In Mathematics, Shannon Dawn Bryant

Open Access Dissertations

This dissertation used a post-structural feminist theoretical lens to examine women’s under-representation in mathematics graduate programs and careers. Five dominant discourses that potentially influence women’s decision to enter mathematical careers were discussed, including how those discourses interact in competing and complementary ways to shape women’s and men’s ideas about the nature of mathematics. The study investigated the long-term impact of a single-sex reform-based summer mathematics program on high school girls. The study utilized a variety of data collection techniques including surveys, field observations, phenomenological interviews, and artifact collection. Nine participants who were enrolled in a summer mathematics program for high …

An Investigation Of The Relationships Between Educational Technology And Mathematics Achievement Of Students With Learning Disabilities, Kenneth George Mcleod

Dissertations

Educators are continually looking for ways to use technology that will help students who struggle with mathematics, especially students with learning disabilities. There is limited research on the effects of instructional technology resources on the achievement of students with learning disabilities in the state selected for this study. Therefore, the purpose of this study was to investigate the effects of instructional technology resources on the mathematics achievement of students with learning disabilities.

This study used a mixed-method triangulation concurrent design. In the quantitative portion of the study, the independent variable was 8th grade AMRT math scores in 67 school districts …

Student Achievement In Block And Non-Block Schedule Schools, William Shelton Smith Jr.

Dissertations

The purpose of this study was to determine if the number of minutes allocated for high school instructional periods influences student achievement. The study also examined the perceptions of principals regarding one method of instructional time allocation, block scheduling.

The study examined the differences in student achievement on a high school exit examination in the content areas of Reading and Mathematics between schools in a southern state using a four-period block schedule and schools using a non-block schedule in order to ascertain if the type of schedule has any impact on student achievement. Additionally, information pertaining to scheduling was collected …