Digital Commons Network^™

Time To Learn Mathematics In Public And Private Schools : Understanding Differences In Aspects Of The Implemented Curriculim In The Dominican Republic, Renzo Roncagliolo Jones

Legacy Theses & Dissertations (2009 - 2024)

How do educational opportunities influence students' academic achievement in the Dominican Republic? How do students grow, in knowledge and skills, as a result of their passage through the elementary grades? This study aims to explore and understand the differences between the implemented curriculum in public and private schools in 4th, 5th, and 6th grades, specifically with respect to the instructional time allocated by teachers in Mathematics Activities and Mathematics Contents.

Understanding College Students' Disconnections With Mathematics, Karen Jean Edwards

Legacy Theses & Dissertations (2009 - 2024)

This study explores the disconnections introductory college mathematics students experience with mathematics. The experiences of six former mathematics students from their earliest memories forward to present day were explored. The study employed an interpretive case study and an action research methodology to present a detailed, historical record of the students' interactions and disconnections with learning quantitative material.

Applications Of Boundary Value Problems, Annie Nguyen

Master's Theses

In this thesis, we solved the Saint-Venant's torsion problem for beams with different cross sections bounded by simple closed curves using various methods. In addition, we solved the flexure problem of beams with certain curvilinear cross sections. The first method was derived by Bassali and Obaid. We focused on cross sections bounded by hyperbolas, circular groves, lemniscate of Booth, and sectorial cross sections. The second method used Tchebycheff polynomials to solve the torsion problem corresponding to the circle and ellipse. The third method used conformal mapping to derive the solution of different cross sections bounded by curvilinear edges. The flexure …

The Relationship Between Thinking Maps And Florida Comprehensive Assessment Test Reading And Math Scores In Two Urban Middle Schools, Anna Diaz

Electronic Theses and Dissertations

The purpose of this study was to determine what difference, if any, exists between the implementation and use of Thinking Maps® and students' academic achievement in Reading and Mathematics as measured over time by the Florida Comprehensive Assessment Test® (FCAT). Thinking Maps® is a registered trademark of Thinking Maps, Inc. The data were examined after three years of Thinking Maps® implementation and instruction. The design of this study was quantitative, with a nonrandomized control group, pretest-posttest design (Ary, Jacobs, & Razavieh, 2002) that examined the effects on student Reading and Mathematics FCAT scores in one middle school that implemented Thinking …

The Relationship Of 10th-Grade District Progress Monitoring Assessment Scores To Florida Comprehensive Assessment Test Scores In Reading And Mathematics For 2008-2009, Marilyn Underwood

Electronic Theses and Dissertations

The focus of this research was to investigate the use of a district created formative benchmark assessment in reading to predict student achievement for 10th-grade students on the Florida Comprehensive Assessment Test (FCAT) in one county in north central Florida. The purpose of the study was to provide information to high school principals and teachers to better understand how students were performing and learning and to maximize use of the formative district benchmark assessment in order to modify instruction and positively impact student achievement. This study expanded a prior limited study which correlated district benchmark assessment scores to FCAT scores …

Developing Fourth Graders' Proficiency In Basic Multiplication Facts Through Strategy Instruction, Stacey Braddock

Electronic Theses and Dissertations

The purpose of this action research study was to evaluate my own practice of teaching basic multiplication facts to fourth graders. I wanted to see how focusing my instruction on strategies would help my students develop proficiency in basic multiplication facts. I chose this topic because Florida was in the process of shifting to new standards that encourage teaching for deeper meaning. I hoped this research would give my students the opportunity to make sense of multiplication on a deeper level, while giving me insight into how students learn multiplication. Through this study, I learned that students initially find multiplication …

On Value Distribution Theory Of Second Order Periodic Odes, Special Functions And Orthogonal Polynomials (Errata), Yik-Man Chiang, Mourad E. H. Ismail

Faculty Bibliography 2010s

No abstract provided.

Topological States In Two-Dimensional Optical Lattices, Tudor D. Stanescu, Victor Galitski, S. Das Sarma

Faculty & Staff Scholarship

No abstract provided.

The Effects Of Folding-In Of Basic Mathematics Facts For Students With Disabilities, Tamara D. Bertini, Dara Coffrey, Kristine D. Swain

Special Education and Communication Disorders Faculty Publications

Research in the area of elementary mathematics has been limited in recent years. Direct instruction methods, including drill tasks, have been recommended for elementary students who have mathematics difficulties. This project involves two studies that examined the effectiveness of a specific direct instruction intervention, Folding-In, on the math computation achievement of elementary students. Weekly Curriculum-based measurement (CBM) progress monitoring data, as well as achievement test data, were used to monitor the effectiveness of the intervention, with improvements noted in math fact fluency in both a university-based clinical tutoring and a classroom intervention setting.

Computer Based Instruction And Its Effects On 21st Century Learners, Molly Knaack

OTS Master's Level Projects & Papers

The problem of this study was to determine if the use of computer assisted instruction enhanced the performance of students in Algebra 1.

The Effects Of A Sustained, Job-Embedded Professional Development On Elementary Teachers' Math Teaching Self-Efficacy And The Resulting Effects On Their Students' Achievement, Krista Louise Althauser

Online Theses and Dissertations

This study investigated the impact of a district-wide mathematics professional development program on elementary teachers' general and personal efficacy. It also explored connections among teacher efficacy and socioeconomic status with student achievement.

Using a quantitative approach, a job-embedded professional development initiative sustained over a 2-year period with 35 teachers was found to increase teachers' general and personal efficacy in teaching mathematics. The investigation of the professional development work was based on the principles of effective mathematics professional development, efficacy theory, and student achievement. To measure perceptions of teachers' general and personal efficacy, teachers of third graders in 10 Kentucky elementary …

Situating Sotl Within The Disciplines: Mathematics In The United States As A Case Study, Jacqueline Dewar, Curtis Bennett

Mathematics, Statistics and Data Science Faculty Works

After two decades of work, many in the SoTL community are pondering the future of the SoTL movement. Will it sustain its influence? Will it continue to attract new participants? What role should the disciplines play? From the perspective of mathematics, this paper examines efforts by the Carnegie Academy and individuals within the mathematical community to build disciplinary support for the scholarship of teaching and learning. The authors, both mathematicians and Carnegie scholars, restrict their observations to the efforts undertaken in the United States during the last decade and examine the situation in mathematics in greater depth than has heretofore …

A Criterion-Related Validity Study Of The Grade Eight Assessment And The High School Profiency Assessment In Mathematics For A B District Factor Group School In New Jersey, George J. Solter Jr

Seton Hall University Dissertations and Theses (ETDs)

.

The Consequence Of Human Differences, Jospeh Vining

Articles

This essay explores the ways in which the recognition of individual and person in the legal form of thought distinguishes it from forms of thought in evolutionary biology and mathematics that are put forward as means to a complete picture of the world. The essay observes that the legal form of thought is in fact deeply involved in our modern understanding of Nature itself.

An Examination Of The Correlation Between Ninth Grade Mathematics Grades And Student Performance On The Mathematics Portion Of The California High School Exit Examination, Andrea Lynn Steffan

Theses and Dissertations

This study examines the relationship between ninth graders’ math course grades (passing or failing) and future performance on the California High School Exit Examination (CAHSEE). Although correlative data is not predictive, it is able to give a sense of which students one can expect to be successful and which students are more likely to benefit from interventions before taking the CAHSEE. This information can be used to ensure that those students needing intervention receive appropriate interventions before sitting for the CAHSEE exam for the first time in March of their 10th grade year. This study also examines to what extent …

Book Review: Visual Motion Of Curves And Surfaces, Andrei Ludu

Publications

This is Dr. Ludu's review of the book Visual Motion of Curves and Surfaces by Roberto Cipolla and Peter Giblin. Published by Cambridge University Press in 2009. ISBN: 978-0-521-63251-5.

Women And Math Performance: The Effects Of Stereotype Threat, Math Identity, And Gender Identity, Felicia W. Chu

Seton Hall University Dissertations and Theses (ETDs)

.

Family Of Circulant Graphs And Its Expander Properties, Vinh Kha Nguyen Tran Nguyen

Master's Theses

In this thesis, we apply spectral graph theory to show the non-existence of an

expander family within the class of circulant graphs. Using the adjacency matrix and its properties, we prove Cheeger's inequalities and determine when the equalities hold. In order to apply Cheeger's inequalities, we compute the spectrum of a general circulant graph and approximate its second largest eigenvalue. Finally, we show that circulant graphs do not contain an expander family.

Situating Sotl Within The Disciplines: Mathematics In The United States As A Case Study, Jacqueline Dewar, Curtis Bennett

International Journal for the Scholarship of Teaching & Learning

After two decades of work, many in the SoTL community are pondering the future of the SoTL movement. Will it sustain its influence? Will it continue to attract new participants? What role should the disciplines play? From the perspective of mathematics, this paper examines efforts by the Carnegie Academy and individuals within the mathematical community to build disciplinary support for the scholarship of teaching and learning. The authors, both mathematicians and Carnegie scholars, restrict their observations to the efforts undertaken in the United States during the last decade and examine the situation in mathematics in greater depth than has heretofore …

Modeling Aerial Refueling Operations, Allen Mccoy

All Theses and Dissertations (ETDs)

Aerial Refueling: AR) is the act of offloading fuel from one aircraft: the tanker) to another aircraft: the receiver) in mid flight. Meetings between tanker and receiver aircraft are referred to as AR events and are scheduled to: escort one or more receivers across a large body of water; refuel one or more receivers; or train receiver pilots, tanker pilots, and boom operators. In order to efficiently execute the Aerial Refueling Mission, the Air Mobility Command: AMC) of the United States Air Force: USAF) depends on computer models to help it make tanker basing decisions, plan tanker sorties, schedule aircraft, …

Properties Of Truncated Toeplitz Operators, Nicholas Sedlock

All Theses and Dissertations (ETDs)

We discuss the multiplication of truncated Toeplitz operators: or TTOs) on backward shift invariant subspaces of the Hardy space of the unit disc. Specifically we discuss when the product of two TTOs is itself a TTO, finding an equivalent to a similar result of Brown and Halmos for ordinary Toeplitz operators. This leads us to investigate the commutants of certain rank-one perturbations of the compressed shift operator, deriving a symbol calculus for TTOs, as well as several other results.

Equivariant Deformations Of Horospherical Surfaces, Michael Deutsch

All Theses and Dissertations (ETDs)

The classical Goursat transform for minimal surfaces is interpreted as conformal transformation of the Gauss map, allowing us to "bend" these surfaces for certain geometric purposes. A simple analogue of this deformation is defined for CMC1 surfaces which makes the Goursat transform equivariant with respect to the Lawson correspondence, thereby increasing the number of explicitly computable examples of minimal/CMC1 cousin pairs. We then indicate how the Goursat transformation law and integrability conditions for the "spin curve" of a horospherical surface are analogous to the Lorentz transformation law and equations of motion for the wavefunction of a massless fermion.

Elliptic Curves And Cryptography, Senorina Ramos Vazquez

Master's Theses

In this expository thesis we study elliptic curves and their role in cryptography. In doing so we examine an intersection of linear algebra, abstract algebra, number theory, and algebraic geometry, all of which combined provide the necessary background. First we present background information on rings, fields, groups, group actions, and linear algebra. Then we delve into the structure and classification of finite fields as well as construction of finite fields and computation in finite fields. We next explore logarithms in finite fields and introduce the Diffie-Hellman key exchange system. Subsequently, we take a look at the projective and affine planes …

College Algebra In Context: A Project Incorporating Social Issues, Michael T. Catalano

Numeracy

This paper discusses the development of an innovative college algebra text designed for use in a data-driven, activity-oriented college algebra course, incorporating realistic problem situations emphasizing social and economic issues, including hunger and poverty, energy, and the environment. The course incorporates quantitative literacy themes, is informed by existing college algebra texts within the college algebra reform movement, and implements a collaborative pedagogical approach intended to provide future K-12 teachers an alternative model for the teaching of mathematics. The paper contains a short history of the project development phase, supported by an NSF grant (DUE #0442979), as well as the perceived …

An Activity Promoting The Practice Of Quantitative Literacy For Pre– And In–Service Teachers Of Mathematics And Science, Timothy L. Sorey, Teri Willard, Duane Sholz

Numeracy

The purpose of this article is to describe a hands-on, laboratory activity that provided pre-service teachers in mathematics and science methods courses, and also some in-service mathematics teachers, with the opportunity to exercise quantitative literacy (QL) skills. The focus of the activity is electrical resistance, more particularly the resistance (in ohms) that is painted on small resistors by the use of color-coded bands, one of which is a band for % error. The activity consists of four parts. In the first, student teams familiarize themselves with the code, measure the ohmage of resistors for which the codes are visible, and …

Counting Girls In - Gender Issues In Science And Mathematics: An Examination Of The Research Concerning Innate And Socio-Cultural Gender Differences In The Fields Of Science And Mathematics In An Effort To Promote More Female Participation, Valerie R. Mackin

Pell Scholars and Senior Theses

In today's world, there is an increasing demand for people in the technological fields. Fewer females than males pursue careers in physical sciences, engineering, and computer science in the United States presenting a loss of needed mathematicians and scientists. Gender differences related to mathematics and science is a complex arena of study, involving both innate biological differences combined with socially constructed ideas about gender in society. Through an in-depth investigation from educational, cognitive, and social psychology perspectives one will be able to determine how innate and socio-cultural factors contribute to the shortage of needed mathematicians and scientists in the United …

Intersection Numbers, Embedded Spheres And Geosphere Laminations For Free Groups., Suhas Pandit Dr.

Doctoral Theses

Topological and geometric methods have played a major role in the study of infinite groups since the time of Poincar´e and Klein, with the work of Nielsen, Dehn, Stallings and Gromov showing particularly deep connections with the topology of surfaces and three-manifolds. This is in part because a surface or a 3-manifold is essentially determined by its fundamental group, and has a geometric structure due to the Poincar´e-K¨obe-Klein uniformisation theorem for surfaces and Thurston’s geometrisation conjecture, which is now a theorem of Perelman, for 3-manifolds.A particularly fruitful instance of such an interplay is the relation between intersection numbers of simple …

Hokua – A Wavelet Method For Audio Fingerprinting, Steven S. Lutz

Theses and Dissertations

In recent years, multimedia identification has become important as the volume of digital media has dramatically increased. With music files, one method of identification is audio fingerprinting. The underlying method for most algorithms is the Fourier transform. However, due to a lack of temporal resolution, these algorithms rely on the short-time Fourier transform. We propose an audio fingerprinting algorithm that uses a wavelet transform, which has good temporal resolution. In this thesis, we examine the basics of certain topics that are needed in understanding audio fingerprinting techniques. We also look at a brief history of work done in this field. …

Learning Effects Of Examples Applied To College Algebra Student Interests, Carrie A. Campbell

College of Education and Human Sciences: Dissertations, Theses, and Student Research

This mixed-methods investigation studied the learning effects of example problems based on college algebra student interests. The study spanned two semesters and included three groups of students. The first group was presented with algebraic procedural examples and assessments without context. The second group was presented with algebraic class examples in contexts related to student majors and hobbies, but assessments without context. The third group was presented with class examples in contexts related to student majors and hobbies and also assessments with context.

Learning growth as measured by performance scores on examinations was analyzed quantitatively. Student comments regarding learning progress were …

Grounded Technology Integration In Mathematics, Neal Grandgenett, Judi Harris, Mark Hofer

Teacher Education Faculty Publications

Teachers today can choose from a variety of technologies for teaching mathematics. Drill-and-practice software, virtual manipulatives, real-life data sets, interactive geometry programs, graphing calculators, robots, and computer-based laboratories are just a few of the options available. But it can be difficult for mathematics teachers to know just which technologies to choose to support student learning in particular lessons.

One way to help teachers integrate technologies effectively is to match technology integration strategies to how teachers plan, rather than asking teachers to plan instruction that exploits the opportunities offered by particular educational technologies. For more information, see our previous article ( …