Digital Commons Network^™

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 …

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 …

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.

Graph Minor, Jianbing Niu

Graduate Theses, Dissertations, and Problem Reports

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.

Results On Hyperspaces, Jorge M. Martinez-Montejano

Graduate Theses, Dissertations, and Problem Reports

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 …

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 …

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 …

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

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 …

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 …

Free Products Of Operator Spaces And Free Markov Processes, Mingchu Gao

Doctoral Dissertations

Certain (reduced) free product is introduced in the framework of operator spaces. Under the construction, the free product of preduals of von Neumann algebras agrees with the predual of the free product of von Neumann algebras. This answers a question asked by Effros affirmatively. An example is presented to show that the C*-algebra reduced free product of two C*-algebras may be contractively isomorphic to a proper subspace of the operator space reduced free product of the two C*-algebras.

Free Markov processes are also investigated in Voiculescu's free probability theory. This highly non-commutative notion generalizes that of free Brownian motion and …

Perceptions Of Eighth-Grade Mathematics Teachers Of The Impact Of The Maine Educational Assessment On Instructional Practices, Mary Christine Runge

Doctoral Dissertations

The purposes of this study are (a) to examine the perceptions of eighth grade mathematics teachers in the state of Maine concerning their classroom instructional and assessment practices and the influence on their students' scores in the MEA tests and (b) to determine if there is a relationship between community social/economic levels and student achievement on the Maine Educational Assessment (MEA) mathematics tests. The survey instrument consisting of a mailed questionnaire designed for this study contained 86 Likert scale items that measured teachers' beliefs regarding the following resource 1 indicators: awareness and use of MEA resources, content area knowledge, instructional …

Spectral Interpretation Of Zeros Of Zeta Functions, Tamas Waldhauser

Doctoral Dissertations

For every algebraic number field we construct an operator on a separable Hilbert space, whose eigenvalues are exactly the critical zeros of the Dedekind zeta function of the number field.

The Interplay Between Instructional Policy And Its Constituents: How Mathematics Teachers Interact With And Understand "Principles And Standards For School Mathematics", Dawn M. Berk

Doctoral Dissertations

Educational policies aimed at reforming school mathematics education have been disseminated at an increasing rate in recent years. The impact of such policies hinges on if and how constituents decide to implement the policy recommendations, and these decisions depend largely on constituents' interpretations of the policy. Investigating how classroom teachers make sense of policy recommendations is particularly important, for teachers are the ones who ultimately decide what mathematics students learn, and how they learn it. This research followed a group of teachers as they studied a particular instructional policy, Principles and Standards for School Mathematics (NCTM, 2000). Fourteen middle school …

The Effect Of The Math Concepts And Skills (Mcs) Computer Program On S, Cheryl Manning

Electronic Theses and Dissertations

This study measures the effectiveness of the National Computer Systems (NCS) Learn SuccessMaker Math Concepts and Skills computer program on standardized test scores at a middle school in east central Florida. The NCS Learn Company makes three claims for the SuccessMaker interactive computer program, Math Concepts and Skills (MCS): 1. Student Florida Comprehensive Assessment Test (FCAT) scores will improve from using the software 30 hours or more; 2. The increase in FCAT scores is directly related to the length of time the students' spend using the program; 3. The software package grading system is equivalent to the FCAT scoring. This …

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).

The Importance Of Fluent Component Skills In Mathematical Comprehension, Chisato Komatsu

LSU Master's Theses

The primary question to be addressed by the present study was whether fluency on component skills is important in the development of overall competency in mathematics. Reading fluency has served as an excellent predictor of one’s reading comprehension. However, few studies have investigated whether the fluency on component skills is essential in the development of overall competency in mathematics. In fact, there has been a push for instructional strategies to deemphasize the importance component skills. In the current study, 140 students in second- through fourth- grade classrooms from general education participated. Each student took three curriculum-based measurement probes (a single-skill …

The Impact Of The Utilization Of Connected Mathematics Project With Direct Instruction On Grade 8 Mathematics Map Scores, Kelly Helmick

Theses

Unavailable.

The Effect Of Money As A Context On Students' Mental Computation Performance In Years 3, 5, 7 And 9, Anne Paterson

Theses: Doctorates and Masters

The purpose of this study was to research the effect of money as a context on school students’ mental computational performance and strategy choices across a range of ages. This study adds to existing research, which has compared students' mental computational methods with their written methods, by the provision of the single common context of money. The content topics of whole and other rational numbers (simple fractions, decimals, and some percentages) were covered. Forty-eight primary school students plus sixteen secondary school students were involved in this study, with equal numbers of both genders from the two primary schools and one …

Appropriating The Discourse Of Language In Mathematics Education, Donna Kotsopoulos

Digitized Theses

This study explores language development in a grade 9 mathematics classroom to investigate: (a) whether mathematics has a distinct language register which is suitable for an applied linguistics interpretation, (b) how students’ appropriation of language impacts on their learning, and (c) the pedagogical implications of explicit instruction in a mathematical register. The findings suggest that a distinct Mathematics Language Register (MLR) exists, as do differences between how educators and students appropriate this register. Furthermore, ignoring these differences constrains students’ learning. Mathematics education, taken as a linguistics paradigm, requires a re-conceptualization of educator roles as students require explicit instruction in MLR. …