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Math 1993 Course Proposal 10/07/2004, Curriculum Committee

Curriculum Committee Reports

No abstract provided.

Math 2993 Course Proposal 10/07/2004, Curriculum Committee

Curriculum Committee Reports

No abstract provided.

Math 4993 Course Proposal 10/07/2004, Curriculum Committee

Curriculum Committee Reports

No abstract provided.

The Relationships Of Teachers' Levels Of Technology Integration On Student Achievement In Reading And Mathematics, Valerie S. Fields

Doctoral Dissertations

The purpose of this study was to determine to what extent the level of technology integration of fourth and eighth grade teachers in eleven rural school districts in northeastern Louisiana related to student achievement in reading and mathematics.

The sample consisted of 123 fourth and eighth grade teachers and their students from the eleven rural school districts in northeastern Louisiana. Fifty-eight percent of the teachers represented the fourth grade and 42% of the teachers represented the eighth grade. The teachers served a school age population in which 20% or more was from families with incomes below the poverty line.

Mean …

To Journey Beyond Infinity, Kent A. Bessey

BYU Studies

The notion of infinity has fascinated philosophers, scientists, and mathematicians for millennia. Its enigmatic nature seemed to thwart all attempts to unlock its secrets. Scriptural allusions to the infinite evoke a similar sense of mystery. Few have been as intrigued by the concept of infinity—or as tenacious in trying to understand it—as the German mathematician Georg Cantor. Between 1874 and 1884, Cantor published numerous papers that illuminated some of the shadowy regions of the infinite. He discovered a remarkable realm where half of a pie is as large as the whole, infinity comes in different sizes, and miracles are mathematically …

Math Anxiety: Causes, Effects, And Preventative Measures, Megan R. Smith

Senior Honors Theses

Math anxiety is a real problem facing students and teachers today. The mathematics teacher especially needs to understand the causes and effects of math anxiety as well as ways to help students overcome it. There are many symptoms of math anxiety including an unwillingness to attempt mathematics problems, a fear of taking advanced mathematics classes, and being unusually nervous when in mathematics class. Math anxiety hinders students' working memory (Perina, 2002). It occurs at different ages in different people for different reasons. The main cause of math anxiety is the teacher himself It has been shown that students tend to …

Statistics Form A: Discipline Summary 09/10/2004, Curriculum Committee

Curriculum Committee Reports

No abstract provided.

Statistics Form B: Discipline Objectives And Requirements 09/10/2004, Curriculum Committee

Curriculum Committee Reports

No abstract provided.

Mathematics Form B: Discipline Objectives And Requirements 09/03/2004, Curriculum Committee

Curriculum Committee Reports

No abstract provided.

Every Polynomial-Time 1-Degree Collapses If And Only If P=Pspace, Stephen A. Fenner, Stuart A. Kurtz, James S. Royer

Faculty Publications

No abstract provided.

Every Polynomial-Time 1-Degree Collapses If And Only If P=Pspace, Stephen A. Fenner, Stuart A. Kurtz, James S. Royer

Faculty Publications

No abstract provided.

Some Statistical Contributions To The Analysis Of Human Genome Diversity And Evolution., Analabha Basu Dr.

Doctoral Theses

The work embodied in this thesis pertains to human population genetics. In particular, the overarching goals of this thesis are to contribute to the understanding of genomic diversity of human populations and to the development of statistical methods for making inferences in genome diversity studies. With these two goals in mind, we have carried out a detailed statistical analysis of genomic data on a large number of ethnic populations of India, generated in the laboratory of the Anthropology & Human Genetics Unit, Indian Statistical Institute, Kolkata. Additionally, wherever relevant, we have compared our data with those collated from the published …

The Effects Of The Use Of Dynamic Geometry Software On Student Achievement And Interest, Heidi B. Hansen

Mathematics Graduate Theses

This study examines the current research that exists on the effects that the use of dynamic geometry software has on student achievement and interest level in mathematics. Additional questions examined are whether using dynamic geometry software has a greater impact on high or low achievers, and what current methods of implementation are suggested by the research. A review of the relevant literature indicates that the use of dynamic geometry software does have a positive effect on student achievement, particularly achievement in areas of high-level thinking. Insufficient research has been done on the effect that the use of dynamic geometry software …

Teachers' Handbook For Using Picture Books To Promote/Reinforce Mathematical Concepts In The Early Primary Grades, Andrea Lynn Bannister

All Master's Theses

The purpose of this paper was to design a handbook for early primary grade teachers interested in using picture books to promote/reinforce mathematics. The handbook includes ten lessons based on the National Council of Teachers of Mathematics Standards, 2000.

Results On Hyperspaces, Jorge M. Martinez-Montejano

Graduate Theses, Dissertations, and Problem Reports (ETD)

A characterization of Cp(X), the family of subcontinua of X containing a fixed point of X, when X is an atriodic continuum is given as follows. Assume Z is a continuum and consider the following three conditions: (1) Z is a planar absolute retract; (2) cut points of Z have component number two; (3) any true cyclic element of Z contains at most two cut points of Z. If X is an atriodic continuum and p ∈ X, then Cp(X) satisfies (1)--(3) and, conversely, if Z satisfies (1)--(3), then there exist an arc-like continuum (hence, atriodic) X and a point …

Graph Minor, Jianbing Niu

Graduate Theses, Dissertations, and Problem Reports (ETD)

In this paper, we present three results: (1) Let G be a (k + 2)-connected non-(k - 3)-apex graph where k ≥ 2. If G contains three k-cliques, say L 1, L2, L3, such that |Li ∩ Lj| ≤ k - 2 (1 ≤ i < j ≤ 3), then G contains a Kk +2 as a minor. (2) Let G be a 6-connected claw-free graph. If delta(G) ≥ 7 and G contains three disjoint 5-cliques, say Ll, L2, L3, then G contains a K7 as a minor. (3) There is a function h : N → N, such that, for every 4-connected graph G with minimum degree at least five embedded in a surface with Euler genus g and face-width at least h(g), every longest circuit of the graph G has a chord.

Reasoning About Motion: A Case Study, Tiffini Lynn Glaze

Theses and Dissertations

Several dance and industrial design students were given the opportunity to attend a non-traditional mathematics course. The nature of this course prompted student interaction and expected collaboration. My research focuses on one dance student, Sara, who did not consider herself a strong mathematics student, but who understood physical motion very well. This paper explores the evolution of Sara's representations for physical motion in a given task, and discusses her reasoning for keeping or dismissing various parts of her representations during the course of this task. I examine first how Sara learns mathematics with understanding in this task, and second how …

Modeling Of Solid Layer Growth At A Constant Speed In A Binary Melt Crystallization Process, Zongwen Feng

Doctoral Dissertations

Melt crystallization is an attractive separation method for the purification of organics at a large scale. Because the geometry of the rigid crystal lattice is peculiar to the particular substance, most crystallization processes form eutectic systems. The kinetics of crystallization limit the rate in which crystal growth can occur without the incorporation of undesired impurity. If the rate of heat transfer exceeds the mass transfer rate of the impurity, the impurity can solidify, contaminating the product. In practice, one would like to specify a crystallization rate and determine the temperature profile of the crystallizer wall that would achieve this rate. …

Contributions To Emerging Techniques In Survey Sampling., Sanghamitra Pal Dr.

Doctoral Theses

This dissertation contains seven Chapters. The contents in the respective Chapters may be briefly recounted as follows.A topic of classical interest in survey sampling is how to ensure the existence of a uniformly non-negative (UNN) unbiased estimator for the mean square error (MSE) of a homogeneous linear estimator (HLE) for a finite survey population total. Hájek (1958), Vijayan (1975), Rao and Vijayan (1977) and Rao (1979) developed a number of results which boil down to the folowing as narrated in the monograph by Chaudhuri and Stenger (1992).If there exist non-zero constants w, and the unknown values y, of the variable …

The Shortfall Of Female Mathematics Lecturers In Nigerian Universities: Strategies For Promotion And Retention Of Prospective Female Mathematics Lecturers, A. N. G. Alutu, L. Eraikhuemen

Journal of International Women's Studies

Mathematics is the bedrock of national development. It is a subject without which a nation cannot move forward scientifically or technologically. It has been observed that the level of female participation in Mathematics studies in the Universities is very low and over the years there has been a steady decline. The study involved focus group discussions with the lecturers in Mathematics Department from these Universities from 1995-2000. This paper has established the low level of female undergraduates and female lecturers in Mathematics Departments in the Universities in Edo and Delta States. The major strategies identified in this paper for the …

Some Studies On Uncertainty Management In Dynamical System Using Fuzzy Techniques With Applications., Kausik Majumdar Dr.

Doctoral Theses

Unceriain information processing by fuzzy if-then rules has received a lot of attention. Here we have taken a different path to model a system. about which we do not have precise information namely. modelling the system by fuzy valued functions without resorting to fuzzy if-then rules. As a result. the phase (state) space of the system becomes a full set and the underlying fuzzy mapping becomes a fuzzy attainability vet mappine. A fuzzy phase space is a collection of special class of furry subsets (fuzsy points) of R&for some positive integral n. Let the collection of all fuzr, real numbers …

Σary, Minnesota State University Moorhead, Mathematics Department

Math Department Newsletters

No abstract provided.

Study On Dynamical Process In Boolean Network., Masahiko Kimura

Student Work

This thesis began with a question about how the human brain works and then two type of Boolean Networks , 1-D Cellular Automata and Associate Memory Model are chosen to explore this question. In the first part of this thesis the computability of 1-D Cellular Automata is studied by inventing a simple model, 3 colored balls model and several logical gates are implemented in its space. Although this model is so simple, by implementing three important logical gates, "NOT", "AND" and "OR", 3 colored balls model is proved to be computational universal. Since a common property " annihilation" is seen …

On Flows Of Graphs, Rui Xu

Graduate Theses, Dissertations, and Problem Reports (ETD)

Tutte's 3-flow Conjecture, 4-flow Conjecture, and 5-flow Conjecture are among the most fascinating problems in graph theory. In this dissertation, we mainly focus on the nowhere-zero integer flow of graphs, the circular flow of graphs and the bidirected flow of graphs. We confirm Tutte's 3-flow Conjecture for the family of squares of graphs and the family of triangularly connected graphs. In fact, we obtain much stronger results on this conjecture in terms of group connectivity and get the complete characterization of such graphs in those families which do not admit nowhere-zero 3-flows. For the circular flows of graphs, we establish …

Mathematics Discipline Senior Seminar Assessment Report 2003-2004, Mathematics Discipline

Assessment of Student Learning Reports

No abstract provided.

Intersection Properties Of Balls In Banach Spaces And Related Topics., Sudipta Dutta Dr.

Doctoral Theses

In the first part of this chapter, we explain in general terms the background and the main theme of this thesis and provide a chapter-wise summary of its principal results. In the second part, we introduce some notations and preliminaries that will be used in the subsequent chapters.As a prototype of the properties we will study in this thesis, let us call a closed linear subspace Y of a Banach space X a (P)-subspace of X if Y has a certain property P as a subspace of X. If a Banach space X, in its canonical embedding, is a (P)-subspace …

Blog Post, I Am Usf St. Petersburg: Mark Gaulter, January 13, 2004, John Husfield, Sonia Helton

USF St. Petersburg Campus News and Press Releases

A blog post from the series "I am USF St. Petersburg" about members of the University of South Florida St. Petersburg (USFSP). Mark Gaulter was Coordinator of International Affairs and as an instructor of mathematics.

The Use Of Filters In Topology, Abdellatif Dasser

Electronic Theses and Dissertations

Sequences are sufficient to describe topological properties in metric spaces or, more generally, topological spaces having a countable base for the topology. However, filters or nets are needed in more abstract spaces. Nets are more natural extension of sequences but are generally less friendly to work with since quite often two nets have distinct directed sets for domains. Operations involving filters are set theoretic and generally certain to filters on the same set. The concept of a filter was introduced by H. Cartan in 1937 and an excellent treatment of the subject can be found in N. Bourbaki (1940).

Controlling Choice: Teachers, Students, And Manipulatives In Mathematics Classrooms, Patricia S. Moyer-Packenham, M. Gail Jones

Teacher Education and Leadership Faculty Publications

This research study examines the instructional practices of 10 middle grades teachers related to their use of manipulatives in teaching mathematics and their control of mathematics tools during instruction. Through 40 observations of teaching, 30 interviews, and an examination of 67 written documents (including teachers' plans and records), profiles were developed that describe how teachers used and controlled manipulatives during instruction. Results showed that teachers used a variety of manipulatives and other mathematics tools over the course of the year-long study. Teachers reported using a mathematics tool (manipulative, calculator, or measuring device) in 70% of their lessons, and this self-report …

Mathematical Magic, Arthur T. Benjamin

All HMC Faculty Publications and Research

In this paper, we present simple strategies for performing mathematical calculations that appear magical to most audiences. Specifically, we explain how to square large numbers, memorize pi to 100 places and determine the day of the week of any given date.