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Nonlinear Approximation Using Blaschke Polynomials, Daniel Van Vliet
Nonlinear Approximation Using Blaschke Polynomials, Daniel Van Vliet
Graduate Theses, Dissertations, and Problem Reports
This dissertation, entitled Nonlinear Approximation Using Blaschke Polynomials, is motivated by questions arising from Empirical Mode Decomposition (EMD). EMD is a signal processing method which decomposes input signals into components called intrinsic mode functions (IMFs). These IMFs often have the desirable property that the instantaneous frequency of their analytic signals is positive. However, this is not always the case.;The first two chapters are introductions to approximation in general, and Empirical Mode Decomposition, respectively.;The third chapter presents a characterization of which analytic signals have the property of non-negative instantaneous frequency. These 'analytic signals with non-negative instantaneous frequency' (ASNIFs) are described using …
Some Necessary Conditions Of Boolean Functions To Resist Algebraic Attacks., Deepak Dalai Dr.
Some Necessary Conditions Of Boolean Functions To Resist Algebraic Attacks., Deepak Dalai Dr.
Doctoral Theses
No abstract provided.
A Comparison Of Traditional Instruction And Standards-Based Instruction On Seventh-Grade Mathematics Achievement, Manika Deshawn Kemp
A Comparison Of Traditional Instruction And Standards-Based Instruction On Seventh-Grade Mathematics Achievement, Manika Deshawn Kemp
Theses and Dissertations
The purpose of this study was to determine if method of instruction, standards-based or traditional, had an impact on student mathematics achievement. More specifically, this study sought to determine if students taught using the JBHM Achievement Connections® standards-based method of instruction would show higher academic gain than students taught using a traditional method of instruction through the use of Mathematics: Applications and Connections, Course 2® in seventh-grade. The research design was a quasi-experimental design, with 65 students participating. Group A received a traditional method of instruction through the use of Mathematics: Applications and Connections, Course 2 and Group B received …
Everything Stems From Nothing, Daniel Theis
Everything Stems From Nothing, Daniel Theis
All Theses
In sixteenth century Europe, mathematics was undergoing a transformation. Prominently among these changes were the switch from roman numerals to arabic numerals and the implementation of the number zero. The number zero has two main functions: to stand on its own as a symbol of nothing and to function as a placeholder. Thus, zero can be a symbol of nothing as well as a number that dramatically increases the value of the others. The dual roles of zero led to much confusion in early modern people. Shakespeare uses the different roles of zero in his plays Richard III, Hamlet, and …
Elementary School Teachers' Understanding Of Essential Topics In Statistics And The Influence Of Assessment Instruments And A Reform Curriculum Upon Their Understanding, Timothy Jacobbe
All Dissertations
With the increased emphasis on statistics at the elementary school level as recommended by the GAISE document, it is important to consider the current status of teachers' understanding of statistics. This study explored teachers' understanding as they implemented new curricula materials which have ten lessons focused on statistical topics at each grade level. These curricula materials provided a medium for discussion that helped reveal whether or not elementary school teachers possess an adequate understanding of essential topics in statistics to implement the standards they are now called upon to teach.
The results of this study indicate that elementary school teachers …
Integer Flow And Petersen Minor, Taoye Zhang
Integer Flow And Petersen Minor, Taoye Zhang
Graduate Theses, Dissertations, and Problem Reports
Tutte [45] conjectured that every bridgeless Petersen-minor free graph admits a nowhere-zero 4-flow. Let P10 m&d1; ) be the graph obtained from the Petersen graph by contracting mu edges from a perfect matching. In chapter 1 we prove that every bridgeless P10 3&d1; -minor free graph admits a nowhere-zero 4-flow.;Walton and Welsh [48] proved that if a coloopless regular matroid M does not have a minor in {lcub}M(K 3,3), M*(K5){rcub}, then M admits a nowhere zero 4-flow. Lai et al [27] proved that if M does not have a minor in {lcub}M( K5), M*(K5){rcub}, then M admits a nowhere zero …
Student Achievement In Science And Mathematics In Urban Professional Develpment Schools During First Year Of Implementation, Susan L. Ogletree
Student Achievement In Science And Mathematics In Urban Professional Develpment Schools During First Year Of Implementation, Susan L. Ogletree
Educational Policy Studies Dissertations
Using a quasi-experimental design, the author examined the effects of the Professional Development School Partnerships Deliver Success educational model on student academic achievement in science and mathematics in 12 high-needs, urban elementary, middle, and high schools in the southeastern United States. Student achievement was measured for first to eighth grade students by the State Criterion-Referenced Competency Test and for 11th-grade students by the State High School Graduation Test. 6 ANOVAs were used to compare baseline and year 1 performance data. Student ethnicity was used to disaggregate the data to investigate the extent, if any, to which achievement gaps narrowed. For …
Improving A Second Grade Student's Number Sense: An Instructional Intervention, Elizabeth Leigh Mathews
Improving A Second Grade Student's Number Sense: An Instructional Intervention, Elizabeth Leigh Mathews
Theses and Dissertations
The purpose of this qualitative case study was to help a second grade student, who struggled with mathematics but excelled in reading, to develop a conceptual understanding of number sense, using a teacher researcher-created intervention. The five-step, one-on-one intervention included the following: (1) use trade books to build mathematical knowledge and vocabulary (2) teacher modeling of concepts, (3) guided practice with manipulatives, (4) review using games and a ?Fact Pack?, and (5) journal writing to explain concepts. The Early Mathematics Assessment-3 (TEMA-3) was used as a pre- and post-test assessment the student?s mathematical knowledge. Other data included transcriptions of audio …
Effects Of State Tests In Ohio On Assessment Practices In Mathematics Education., Brian Thomas Boyd
Effects Of State Tests In Ohio On Assessment Practices In Mathematics Education., Brian Thomas Boyd
Electronic Theses and Dissertations
Classroom tests from nine eighth-grade mathematics teachers were collected from the 2003-04 and 2005-06 school years. These years represent one school year prior to the eighth-grade Ohio Achievement Test (OAT) in mathematics being implemented and the year after the eighth-grade OAT in mathematics was implemented, respectively. In addition, teachers were interviewed to gain insight into their classroom assessment practices. Classroom assessment data were compared between the two years, and interview data were examined, to investigate the impact that the new state test was having on classroom assessment practices. Teachers increased the percentage of their items that assessing content below the …
What Can Your Computer Recognize: Chemical And Facial Pattern Recognition Through The Use Of The Eigen Analysis Method, Anthony J. Giordano
What Can Your Computer Recognize: Chemical And Facial Pattern Recognition Through The Use Of The Eigen Analysis Method, Anthony J. Giordano
Regis University Student Publications (comprehensive collection)
Seeing patterns in the world is part of the human condition. If the numbers 2, 4, 6, 8,... are put before someone they will readily recognize the pattern of counting by two and be able to continue the sequence with the number 10, 12, . . . . Similarly, someone who is moderately acquainted with mathematics would recognize the numbers 0, 1, 1, 2, 3, 5, 8,... as the Fibonacci sequence. Yet, patterns are not simply limited to what can be observed within mathematical relationships. Yet, while humans can identify the pattern found within the frieze, a computer could not …
Motivation And Attitude Of Preservice Elementary Teachers Toward Mathematics : Is Rural Revevant?, Christine Ankrom Perry
Motivation And Attitude Of Preservice Elementary Teachers Toward Mathematics : Is Rural Revevant?, Christine Ankrom Perry
Electronic Theses and Dissertations
This dissertation was a quantitative study with a sample of preservice elementary teachers from four universities in Kentucky. The purpose of this study was to investigate preservice elementary teachers' achievement goal orientations for learning mathematics and the relationship of those goals and their attitudes toward mathematics. A second goal of this study was to explore differences in the types of achievement goals and attitudes between rural preservice elementary teachers and their nonrural counterparts. Self-report instruments were administered to assess the level of three achievement goals – mastery, performance-approach, and performance-avoid, and three constructs of attitude – confidence in learning mathematics, …
Reality Properties Of Conjugacy Classes In Algebraic Groups., Anupam Kumar Singh Dr.
Reality Properties Of Conjugacy Classes In Algebraic Groups., Anupam Kumar Singh Dr.
Doctoral Theses
In this thesis we denote a field by k. We consider fields of characteristic not 2 unless stated otherwise. The notation ¯k and ks denotes an algebraic closure and separable closure of k respectively. The symbols Q, R, C will denote fields of rational, real, complex numbers respectively. The symbol Z will denote the set of integers. We denote by cd(k) the cohomological dimension of k.We use G to denote an algebraic group and G(k) to denote the group of k rational points of G. Sometimes we abuse notation and denote the group of ¯k points of G by G. …
Some Geometrical Aspects Of The Cone Linear Complementarity Problem., Madhur Malik Dr.
Some Geometrical Aspects Of The Cone Linear Complementarity Problem., Madhur Malik Dr.
Doctoral Theses
Cone Linear Complementarity ProblemLet V be a finite dimensional real inner product space and K be a closed convex cone in V. Given a linear transformation L : V → V and a vector q ∈ V the cone linear complementarity problem or linear complementarity problem over K, denoted as LCP(K, L, q), is to find a vector x ∈ K such thatL(x) + q ∈ K+ and hx, L(x) + qi = 0,where h., .i denotes an inner product on V and K is the dual cone of K defined as:K∗ := {y ∈ V : hx, yi ≥ …
One Problem, Two Contexts, Danielle L. Gigger
One Problem, Two Contexts, Danielle L. Gigger
Theses and Dissertations
In this study, a group of students were presented with two mathematically isomorphic problems but in radically different contexts. Analysis of their thinking and reasoning as they worked to solve and explain each problem demonstrates that the thinking and reasoning that emerged in each problem responded to clear purposes that the problems elicited in these students. The first problem was posed in a context that relied on experience and intuition rather than a formal mathematical description. The second problem was posed in a formal, set-theoretic context. While the analysis offered here reveals similarities in the students' final reasoning in the …
Understanding Abstract Algebra Concepts, Anna S. Titova
Understanding Abstract Algebra Concepts, Anna S. Titova
Doctoral Dissertations
This study discusses various theoretical perspectives on abstract concept formation. Students' reasoning about abstract objects is described based on theoretical proposition that abstraction is a shift from abstract to concrete. Existing literature suggested a theoretical framework for the study. The framework describes process of abstraction through its elements: assembling, theoretical generalization into abstract entity, and articulation. The elements of the theoretical framework are identified from students' interpretations of and manipulations with elementary abstract algebra concepts including the concepts of binary operation, identity and inverse element, group, subgroup, cyclic group. To accomplish this, students participating in the abstract algebra class were …
Morita Equivalence For Group -Theoretical Categories, Deepak Naidu
Morita Equivalence For Group -Theoretical Categories, Deepak Naidu
Doctoral Dissertations
We give necessary and sufficient conditions for two pointed categories to be dual to each other with respect to a module category. Whenever the dual of a pointed category with respect to a module category is pointed, we give explicit formulas for the Grothendieck ring and for the associator of the dual. This leads to the definition of categorical Morita equivalence on the set of all finite groups and on the set of all pairs ( G, o), where G is a finite group and o ∈ H3(G, kx). A group-theoretical and cohomological interpretation of this relation is given. As …
German Mathematics Teachers' Subject Content And Pedagogical Content Knowledge, Teresa A Leavitt
German Mathematics Teachers' Subject Content And Pedagogical Content Knowledge, Teresa A Leavitt
UNLV Retrospective Theses & Dissertations
How required teacher knowledge is obtained is debated in today's educational context. This dichotomy in acquisition of teacher knowledge between university training including content and pedagogy versus classroom experiences combined with strong subject background has become particularly important as the U.S. seeks to find key components to increase student achievement and to improve education. International comparisons indicating the U.S. consistently lags behind top-performing countries have spurred such efforts; Review of existing literature exposed differences in what is considered necessary knowledge for effective teaching, and where such knowledge can be developed. Types of knowledge and where such knowledge is acquired are …
Capstone Mathematics And Technology: A Collection Of Mathematical Technology Enhanced Activities For Students And Teachers, Heidi Eastman
Capstone Mathematics And Technology: A Collection Of Mathematical Technology Enhanced Activities For Students And Teachers, Heidi Eastman
All Graduate Plan B and other Reports, Spring 1920 to Spring 2023
The purpose of this project is to provide an introduction to how technology can be used in the mathematical classroom to enhance students' learning of mathematics, while at the same time leading students to a richer and deeper understanding of those mathematical concepts. The topics were selected based on their relevance to the Utah State Core Curriculum for middle and secondary mathematics courses. It was intended that each lesson plan would challenge a preservice mathematics educator to build relationships between different areas of mathematics and/or to create deeper understandings of specific mathematical concepts. At the same time many of the …
Assessing Online Assessments: A Comparison Study Of Math Assessment Tools For Third-Grade Students, Tina Kim Chan
Assessing Online Assessments: A Comparison Study Of Math Assessment Tools For Third-Grade Students, Tina Kim Chan
Theses Digitization Project
The study reported here examined the move towards online assessments and addressed the question of whether or not different assessment tools affect student scores and student learning. The research activities covered a three-week period, from June 5, 2006 to June 23, 2006. During this time, seventeen third grade students served as their own control group by taking several math tests online and several math tests with paper and pencil. Results were compared to see if performance on computer-based tests would be more successful than pencil-and-paper tests. A follow-up survey to evaluate and interpret the quantitative results was also used. Findings …
Testing Methods And Pass/Fail Rates In Developmental Mathematics Classes At Southwest Virginia Community College, Charlotte Tiller
Testing Methods And Pass/Fail Rates In Developmental Mathematics Classes At Southwest Virginia Community College, Charlotte Tiller
OTS Master's Level Projects & Papers
To solve this problem the following hypothesis was developed: There is no correlation between examination method and pass/fail rate of students in developmental mathematics at Southwest Virginia Community College.
Fighting The Freeloader Effect : Cooperation, Attitude, And Achievement In A Jesuit Secondary Math Classroom, Kevin Quattrin
Fighting The Freeloader Effect : Cooperation, Attitude, And Achievement In A Jesuit Secondary Math Classroom, Kevin Quattrin
Doctoral Dissertations
unavailable
Modeling Core Generation And Transport Phenomena Of Microcapsules, Xiaoshuo Wu
Modeling Core Generation And Transport Phenomena Of Microcapsules, Xiaoshuo Wu
Doctoral Dissertations
Microcapsules play an important role in chemical, biomedical, and medical research. Of importance is their potential use as bio-sensors, as microreactors, and for drug delivery. In this dissertation, Computational Fluid Dynamics methodology is used to model the generation of droplets or cores (using alginate and oil) and to determine from the model process parameters needed for generating cores of homogeneous size for the manufacturing of microcapsules. Also, material diffusion through a microcapsule for controlled release is modeled based on finite difference methodology. The model was applied to experimental data on dextran release from microcapsules in order to estimate the diffusion …
Limited English Proficient Students And Their Teachers Attitudes Of The Learning Environment In Mathematics Classes, Michelle C. Snider
Limited English Proficient Students And Their Teachers Attitudes Of The Learning Environment In Mathematics Classes, Michelle C. Snider
Electronic Theses and Dissertations
This study described the attitudes of students who are limited English proficient (LEP) and their teachers toward the learning environment within their mathematics classes. Data collected via a student survey, student and teacher interviews, and classroom observations were analyzed in this mixed-method study to investigate these attitudes. Accuracy of the findings was confirmed via triangulation. A population of 79 students was chosen through purposive sampling methods that included LEP and non-LEP students in algebra and geometry classes. Students were administered a 30-item questionnaire using the What is Happening in This Class? survey. Scores provided from the survey's six scales were …
An Analysis Of 2005 Naep 8th Grade Mathematics Achievement Items By Content Strand, Problem Type And Language Complexity, Yvette Marie Fagan
An Analysis Of 2005 Naep 8th Grade Mathematics Achievement Items By Content Strand, Problem Type And Language Complexity, Yvette Marie Fagan
Doctoral Dissertations
unavailable