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2014

Mathematics

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An Ethnographic Study Of Socio-Emotional Factors In Interpersonal Peer Relationships And Their Impact On The Academic Success Of African American High School Students In Mathematics, Alanna Johnson Dec 2014

An Ethnographic Study Of Socio-Emotional Factors In Interpersonal Peer Relationships And Their Impact On The Academic Success Of African American High School Students In Mathematics, Alanna Johnson

Middle and Secondary Education Dissertations

Nationally, the outlook for African Americans in K-12 education is dismal. While gains are being made, African Americans still lag behind their White peers. The latest reports by the National Center for Education Statistics (2009) show a 31 point gap between 8th grade African Americans and Whites in mathematics. While statistics such as these are in abundance, there are few accounts of stories of success (Berry, 2005; Jett, 2009; Stinson, 2004). Studies directly related to the role of socio-emotional interpersonal relationships and the means by which African American high school students negotiated that space in terms of successful math …


Reflective Intensions: Two Foundational Decision-Points In Mathematics, Law, And Economics, Robert C. Hockett Dec 2014

Reflective Intensions: Two Foundational Decision-Points In Mathematics, Law, And Economics, Robert C. Hockett

Robert C. Hockett

This Article, transcribed from a symposium talk given by the author, examines two critical junctures at which foundational decisions must be made in three areas of theoretical inquiry - mathematics, law, and economics. The first such juncture is that which the Article labels the "arbitrary versus criterial choice" juncture. This is the decision point at which one must select between what is typically called an "algorithmic," "principled," "law-like," or "intensionalist" understanding of those concepts which figure foundationally in the discipline in question on the one hand, and a "randomized," "combinatorial," or "extensionalist" such understanding on the other hand. The second …


Relationships Between Prior Experiences, Current Teaching Contexts, And Novice Teachers' Use Of Concrete Representation For Mathematics Instruction, Elizabeth Lee Johnson Dec 2014

Relationships Between Prior Experiences, Current Teaching Contexts, And Novice Teachers' Use Of Concrete Representation For Mathematics Instruction, Elizabeth Lee Johnson

Theses and Dissertations

This case study documents the perceived influences on three novice elementary teachers’ use of concrete representations for teaching mathematics. In order to develop mathematical proficiency, students need access to a variety of representations (i.e. pictures, words, symbols, concrete materials, and real world contexts) to make sense of mathematical ideas. Three sources of data were collected: video-recorded lessons, interviews, and a focus group. Analyses indicated that although concrete representations were accessible to all three teachers, they were least used among the available representations. Verbal expression was most prominent, followed closely by abstract written symbols. Technology, which was not one of the …


Math, Geology Alum Announces Run For Lancaster Council President, Ohio University College Of Arts & Sciences Dec 2014

Math, Geology Alum Announces Run For Lancaster Council President, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.


Math Colloquium Playing A Game In Statistical Computing, Dec. 3, Ohio University College Of Arts & Sciences Dec 2014

Math Colloquium Playing A Game In Statistical Computing, Dec. 3, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.


K-Theory Of Quadratic Modules: A Study Of Roy's Elementary Orthogonal Group., A. A. Ambily Dr. Dec 2014

K-Theory Of Quadratic Modules: A Study Of Roy's Elementary Orthogonal Group., A. A. Ambily Dr.

Doctoral Theses

This thesis discusses the K-theory of quadratic modules by studying Roys elementary orthogonal group of the quadratic space Q1H(P) over a commutative ring A. We estab- lish a set of commutator relations among the elementary generators of Roys elementary orthogonal group and use this to prove Quillens local-global principle for this elementary group. We also obtain a result on extendability of quadratic modules. We establish nor- mality of the elementary orthogonal group under certain conditions and prove stability results for the Ki group of this orthogonal group. We also prove that Roys elementary orthogonal group and Petrovs odd hyperbolic unitary …


Plan Now For Summer Research Internships Workshops, Dec. 2 And 3, Ohio University College Of Arts & Sciences Dec 2014

Plan Now For Summer Research Internships Workshops, Dec. 2 And 3, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.


A Comparison Of Fifth Grade Mathematics Curriculum Materials, Michael E. Starks Sr. Dec 2014

A Comparison Of Fifth Grade Mathematics Curriculum Materials, Michael E. Starks Sr.

Dissertations

In the USA, the No Child Left Behind Act of 2001 resulted in requirements placed on school districts to show student achievement in mathematics, based on measured adequate yearly progress. This caused school districts to search for standards based programs that improve mathematics learning. A quantitative multi-year study was used to compare the state-assessed achievement levels of 1,695 fifth-grade Midwestern children in the state of Missouri, who learned mathematics from two different curriculum-delivery programs, EveryDay Mathematics and EnVision Mathematics. A 2 by 2 by 8 research design was used through the choice of two elementary schools using EveryDay Mathematics and …


Bures Distance For Completely Positive Maps And Cp-H-Extendable Maps Between Hilbert C*- Modules., Sumesh K Dr. Nov 2014

Bures Distance For Completely Positive Maps And Cp-H-Extendable Maps Between Hilbert C*- Modules., Sumesh K Dr.

Doctoral Theses

Completely positive (CP-) maps are special kinds of positivity preserving maps on C ∗ -algebras. W.F. Stinespring [Sti55] obtained a structure theorem for CP-maps showing that they are closely connected with ∗-homomorphisms. W. Arveson and other operator algebraists quickly realized the importance of these maps. Presently the role of the theory of CP-maps in our understanding of C ∗ -algebras and von Neumann algebras is well recognised. It has been argued by physicists that CPmaps are physically more meaningful than just positive maps due to their stability under ampliations. From quantum probabilistic point of view CP-maps are quantum analogues of …


Can You Solve The Navajo Sheep Problem?, Ohio University College Of Arts & Sciences Nov 2014

Can You Solve The Navajo Sheep Problem?, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.


Math Senior Seminar: Solutions & Their Bounds For The Traveling Salesman Problem, Nov. 24, Ohio University College Of Arts & Sciences Nov 2014

Math Senior Seminar: Solutions & Their Bounds For The Traveling Salesman Problem, Nov. 24, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.


Mathematical Biology Seminar | Features Fulbright Scholar, Nov. 20, Ohio University College Of Arts & Sciences Nov 2014

Mathematical Biology Seminar | Features Fulbright Scholar, Nov. 20, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.


Algebra Seminar | Rings Over Which Every Nonzero Cyclic Right Module Is Poor, Nov. 20, Ohio University College Of Arts & Sciences Nov 2014

Algebra Seminar | Rings Over Which Every Nonzero Cyclic Right Module Is Poor, Nov. 20, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.


Learning Metrics Partnership: A Capacity Support And Policy Strengthening Initiative To Develop And Use Common Learning Metrics For Mathematics And Reading, Unesco Institute For Statistics, Acer Nov 2014

Learning Metrics Partnership: A Capacity Support And Policy Strengthening Initiative To Develop And Use Common Learning Metrics For Mathematics And Reading, Unesco Institute For Statistics, Acer

Monitoring Learning

The Learning Metrics Partnership (LMP) is a joint initiative of the UNESCO Institute for Statistics and the ACER Centre for Global Education Monitoring (ACER-GEM) to develop a set of nationally and internationally comparable learning metrics in mathematics and reading, and then to facilitate and support their use for monitoring purposes, in partnership with interested countries. This document outlines the LMP’s three-phase program that aims to develop and validate common learning metrics for reading and mathematics, and to support countries to report results of their assessment activities against these learning metrics. The key features of the program are fourfold: it accommodates …


The Value Of Problem Posing In Developing Creatively Gifted Mathematicians, Eric L. Mann Nov 2014

The Value Of Problem Posing In Developing Creatively Gifted Mathematicians, Eric L. Mann

Faculty Presentations

The task of problem posing is often overlooked as a means to develop creatively gifted mathematicians. Silver (1997) suggested that problem posing was an instructional tactic used worldwide to develop creativity in mathematicians. More specifically, Silver advocated that deliberate instructional tactics had to be employed to precipitate creative solutions. Problem posing is often correlated with the aesthetic nature of mathematics.


In this cutting-edge session, participants’ objective is to learn about the value of problem posing through a brief presentation and have an opportunity to generate their own mathematical problem solving tasks given a mathematical concept. The intent is to encourage …


Periodic Outbreaks In Models Of Disease Transmission With A Behavioral Response, Nov. 13, Ohio University College Of Arts & Sciences Nov 2014

Periodic Outbreaks In Models Of Disease Transmission With A Behavioral Response, Nov. 13, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.


John Kirby Dissertation Defense: Multiscale Copula Sampling Series And Application, Nov. 13, Ohio University College Of Arts & Sciences Nov 2014

John Kirby Dissertation Defense: Multiscale Copula Sampling Series And Application, Nov. 13, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.


Math And Political Science Alumni Named To Foundation Board, Ohio University College Of Arts & Sciences Nov 2014

Math And Political Science Alumni Named To Foundation Board, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.


Math Cmss Colloquia Holomorphic Stochastic Flows, Nov. 13, Ohio University College Of Arts & Sciences Nov 2014

Math Cmss Colloquia Holomorphic Stochastic Flows, Nov. 13, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.


Storm Chasing Experience Open To Meteorology Students, Ohio University College Of Arts & Sciences Nov 2014

Storm Chasing Experience Open To Meteorology Students, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.


Unraveling Complex Systems: What Do Brains, Internet & Ant Colonies Have In Common? Nov. 10, Ohio University College Of Arts & Sciences Nov 2014

Unraveling Complex Systems: What Do Brains, Internet & Ant Colonies Have In Common? Nov. 10, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.


Ring Theory: Compatible Ring Structures On Injective Hulls Revisited, Nov. 7, Ohio University College Of Arts & Sciences Nov 2014

Ring Theory: Compatible Ring Structures On Injective Hulls Revisited, Nov. 7, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.


An Exploration Of The Factors That Motivate Black And Latino Students To Engage In Stem (Science, Technology, Engineering And Mathematics), Adrienne Coleman Nov 2014

An Exploration Of The Factors That Motivate Black And Latino Students To Engage In Stem (Science, Technology, Engineering And Mathematics), Adrienne Coleman

Adrienne Coleman

No abstract provided.


Math & Microbiology Pair To Prevent Pneumonia In Hospitals, Ohio University College Of Arts & Sciences Nov 2014

Math & Microbiology Pair To Prevent Pneumonia In Hospitals, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.


On Volume-Preserving Vector Fields And Finite-Type Invariants Of Knots, R. Komendarczyk, Ismar Volić Nov 2014

On Volume-Preserving Vector Fields And Finite-Type Invariants Of Knots, R. Komendarczyk, Ismar Volić

Faculty Research and Scholarship

We consider the general non-vanishing, divergence-free vector fields defined on a domain in 3-space and tangent to its boundary. Based on the theory of finite-type invariants, we define a family of invariants for such fields, in the style of Arnold’s asymptotic linking number. Our approach is based on the configuration space integrals due to Bott and Taubes.


A Quasi-Classical Logic For Classical Mathematics, Henry Nikogosyan Nov 2014

A Quasi-Classical Logic For Classical Mathematics, Henry Nikogosyan

Honors College Theses

Classical mathematics is a form of mathematics that has a large range of application; however, its application has boundaries. In this paper, I show that Sperber and Wilson’s concept of relevance can demarcate classical mathematics’ range of applicability by demarcating classical logic’s range of applicability. Furthermore, I introduce how to systematize Sperber and Wilson’s concept of relevance into a quasi-classical logic that can explain classical logic’s and classical mathematics’ range of applicability.


Murphy To Discuss Collaboration With Young On Pathogens In Ventilators, Oct. 30, Ohio University College Of Arts & Sciences Oct 2014

Murphy To Discuss Collaboration With Young On Pathogens In Ventilators, Oct. 30, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.


Is More Always Better: Comparing The Effects Of Single And Multiple Learning Channels On Academic Performance, Samantha Ann Spillman Oct 2014

Is More Always Better: Comparing The Effects Of Single And Multiple Learning Channels On Academic Performance, Samantha Ann Spillman

USF Tampa Graduate Theses and Dissertations

Precision teaching (PT) is a measurement system used in multiple settings for all types of behavior, from driving to mathematics. The ultimate goal of PT is to develop fluent, free operant behaviors through analyzing response frequencies on a standard celeration chart. Research has found PT to be effective at improving both the speed and accuracy of academic skills. There is little research, however, in the effects of learning channels, a component of PT, as they relate to the acquisition of academic skills. The present study examined the relationship between single and multiple learning channels on the acquisition of mathematics skills …


Seminar: Designing Optimal Spraying Strategies For Controlling Re-Infestation By Chagas Vectors, Oct. 23, Ohio University College Of Arts & Sciences Oct 2014

Seminar: Designing Optimal Spraying Strategies For Controlling Re-Infestation By Chagas Vectors, Oct. 23, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.


Rich Problem Solving Tasks, Valorie L. Zonnefeld Oct 2014

Rich Problem Solving Tasks, Valorie L. Zonnefeld

Faculty Work Comprehensive List

No abstract provided.