Digital Commons Network^™

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.

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.

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.

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 …

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.

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 …

Inquiry Based Mathematics Instruction Versus Traditional Mathematics Instruction: The Effect On Student Understanding And Comprehension In An Eighth Grade Pre-Algebra Classroom, Kyle Ferguson

Master of Education Research Theses

This quantitative study provides information obtained through the use of inquiry-based mathematics instruction verses traditional mathematics instruction. The use of each curriculum was implemented into two classrooms of eighth grade pre-algebra students. The study was based on data collected before and after each of the two units of study. Fifty-two suburban eighth grade students represented the sample population. Results of the SPSS analysis showed that both classes made improvement from their pre-test to their post-test for both units but students receiving instruction through inquiry-based instruction showed significantly more improvement on the second unit. These results can be useful for educators …

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.

Managing Cognitive Load In The Mathematics Classroom, Mohan Chinnappan, Paul Chandler

Faculty of Education - Papers (Archive)

The results of research about cognitive load that is associated with mental processes and the management of such load so that students can be better supported in the construction of connected mathematical information is discussed. Ways in which worked examples can be effective in promoting useful and powerful mathematics schemes are highlighted.

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

Seton Hall University Dissertations and Theses (ETDs)

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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)

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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

International Journal for the Scholarship of Teaching and 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 …

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.

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

Faculty & Staff Scholarship

No abstract provided.