Digital Commons Network^™

Pierce-Engel Hybrid Expansions, Andrea Sutyak

Graduate Theses, Dissertations, and Problem Reports (ETD)

Pierce and Engel expansions are representations of numbers between 0 and 1 as sums of unitary fractions (of alternating signs in the case of Pierce) whose denominators are built multiplicatively, choosing the successive factors greedily. We show some results for Pierce expansions, and investigate the idea of hybrid expansions, which are built similarly but without regard to the signs of the terms.

Preparation For High School Mathematics Reform In The Northeast Georgia Resa District: A Stage Of Concerns Approach To Examining Professional Learning, Kay Smith Haugen

College of Graduate Studies: Theses & Dissertations

The purpose of this study was two-fold. The first purpose was to examine the longitudinal concerns of a cohort of high school mathematics teachers in the Northeast Georgia Regional Educational Services Agency (RESA) district about implementation of the Georgia Performance Standards. The second purpose was to explore relationships among their Stages of Concerns profiles, demographic factors, and professional learning experiences provided by institute instructors. The study examined Implementation of Georgia Performance Standards in High School Mathematics as a change innovation using the Concerns-Based Adoption Model. The study utilized a mixed methods timeseries research design. Quantitative data were collected using the …

It's All About The Teachers: Bank Street's Math For Teachers As Professional Development, Robin Hummel

Graduate Student Independent Studies

This work describes a professional development initiative that was based on the graduate course, Mathematics for Teachers in Diverse and Inclusive Educational Settings (K-6), taught by Linda Metnetsky at Bank Street College of Education. The author wrote and implemented this professional development initiative for teachers in her former district: a large, middle class, suburban school district outside of Philadelphia. It consisted of six full day sessions, held from October through April during the 2004-05 school year. Eleven teachers from third, fourth, and fifth grades participated, and the impact of this professional development on two participants is the focus of this …

Cycles In Graph Theory And Matroids, Ju Zhou

Graduate Theses, Dissertations, and Problem Reports (ETD)

A circuit is a connected 2-regular graph. A cycle is a graph such that the degree of each vertex is even. A graph G is Hamiltonian if it has a spanning circuit, and Hamiltonian-connected if for every pair of distinct vertices u, v ∈ V( G), G has a spanning (u, v)-path. A graph G is s-Hamiltonian if for any S ⊆ V (G) of order at most s, G -- S has a Hamiltonian-circuit, and s-Hamiltonian connected if for any S ⊆ V( G) of order at most s, G -- S is Hamiltonian-connected. In this dissertation, we investigated …

A Brief Study Of Some Aspects Of Babylonian Mathematics, Tom Zara

Senior Honors Theses

Beginning over 4000 years ago, the Babylonians were discovering how to use mathematics to perform functions of daily life and to evolve as a dominant civilization. Since the beginning of the 1800s, about half a million Babylonian tablets have been discovered, fewer than five hundred of which are mathematical in nature. Scholars translated these texts by the end of the 19th century. It is from these tablets that we gain an appreciation for the Babylonians’ apparent understanding of mathematics and the manner in which they used some key mathematical concepts. Through this thesis, the author will provide background information about …

Stat 4671 Course Proposal 04-23-08, Curriculum Committee

Curriculum Committee Reports

No abstract provided.

2008 Sonia Kovalevsky Math For Girls Day Report, Association For Women In Mathematics, Lincoln University Of Missouri, Donna L. Stallings

Math for Girls Day Documents

The report for the third annual Lincoln University Sonia Kovalevsky (LUSK) Math for Girls Day held on April 18th, 2008 from 8:30am to 2:00pm on the campus of Lincoln University in Jefferson City, MO.

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

Cornell Law Faculty Publications

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 …

The Discriminant Analysis Used By The Irs To Predict Profitable Individual Tax Return Audits, Amber Torrey

Honors Projects in Mathematics

This paper discusses past and current methods the IRS uses to determine which individual income tax returns to audit. The IRS currently uses the discriminant function to give all individual tax returns two scores; one based on whether it should be audited or not and one based on if the return is likely to have unreported income. The discriminant function is determined by the IRS’s National Research Program, which takes a sample of returns and ensures their accuracy. Previously, the function was determined by the IRS’s Taxpayer Compliance Measurement Program. However, this was too burdensome and time consuming for taxpayers. …

Résistance Du Point D'Ancrage D'Un Système D'Arrêt De Chute Et De Positionnement Pour Les Poseurs D'Acier D'Armature, André Lan, Renaud Daigle

Rapports de recherche scientifique

Les structures de béton armé peuvent être divisées en deux grands groupes : soit les édifices à colonnes et dalles et les autres structures. Dans le premier cas, les poseurs d’acier d’armature (ferrailleurs) sont très peu exposés aux chutes parce que l'armature des colonnes est préposée au sol à l'horizontale et soulevée en bloc par un engin de levage alors que l'armature de la dalle du plancher est posée aux pieds du ferrailleur. Les garde-corps sur le périmètre de la dalle protègent les travailleurs contre les chutes. Dans le deuxième cas, les structures en cause sont des culées de pont, …

An Abstract Subject, Mashooque Ali Samo

Institute for Educational Development, Karachi

No abstract provided.

Stat 3501 Course Proposal, Curriculum Committee

Curriculum Committee Reports

No abstract provided.

Geometric Primitives In Digital Images: Analyses And Applications Using Digital Geometry., Partha Bhowmick Dr.

Doctoral Theses

No abstract provided.

Teacher As Designer: A Framework For Teacher Analysis Of Mathematical Model-Eliciting Activities, Margret A. Hjalmarson, Heidi Diefes-Dux

Interdisciplinary Journal of Problem-Based Learning

The study investigated tool development by three middle school mathematics teachers. The tools they designed were intended to support the use of model-eliciting activities (a form of instruction related to problem-based learning) and particularly the students’ presentations of their solutions for the whole class. The study examined the design and purposes for the presentation tools and resulted in a framework for categorizing teachers’ purposes for tools.The framework addressed the unit of analysis for the tools (individual students or groups of students) and the nature of teachers’ purposes for the tools. Design research was used as a theoretical perspective for conducting …

Usm Summer Math Institute: Excel Basics, Center For Science And Mathematics Education

Teacher Resource Documents

No abstract provided.

Usm Summer Math Institute: Gradebook Spreadsheet, Center For Science And Mathematics Education

Teacher Resource Documents

No abstract provided.

Usm Summer Math Institute: Ti84 Basics, Center For Science And Mathematics Education

Teacher Resource Documents

No abstract provided.

Usm Summer Math Institute: Powerpoint Presentations, Integers, And Enrichment, Center For Science And Mathematics Education

Teacher Resource Documents

No abstract provided.

Usm Summer Math Institute: Calculator - Evaluating Expressions, Mean, Median, Mode And Data Graphs, Center For Science And Mathematics Education

Teacher Resource Documents

No abstract provided.

Usm Summer Math Institute: Function Tables And Patterns, Linear To Quadratic Equations With Profit, Tessellations, Center For Science And Mathematics Education

Teacher Resource Documents

No abstract provided.

Usm Summer Math Institute: Repeating Decimals, Irrational Numbers, Number Density, Compound And Simple Interest (Cellsheet And Spreadsheet), And Expanded Form And Patterns, Center For Science And Mathematics Education

Teacher Resource Documents

No abstract provided.

Usm Summer Math Institute: Cabri Jr. On Calculator, Powers Of 10, Expanded Form, Scientific Notation, Moving The Decimal Point, Grant Writing, Center For Science And Mathematics Education

Teacher Resource Documents

No abstract provided.

Usm Summer Math Institute: Math Riddles, Center For Science And Mathematics Education

Teacher Resource Documents

No abstract provided.

Usm Summer Math Institute: Spreadsheet Farmer Brown And Working Backward To Solution, Center For Science And Mathematics Education

Teacher Resource Documents

No abstract provided.

Usm Summer Math Institute: More Principle And Interest - On Excel, English And Metric Units, Dilations, Reflections, Translations, Rotations, Center For Science And Mathematics Education

Teacher Resource Documents

No abstract provided.

Dynamic Web Tools For Trigonometry, Steven J. Wilson

Innovations in Math Technology

In the last 20 years, computer technology having mathematical capability has been developed, improved, and become widely available, but textbook presentations are still largely free of any discussion that might require technology. Technology could be used in mathematical instruction for student drill and practice, for instructor demonstrations that promote conceptual understanding, or for the exploration of mathematical ideas, but software is often designed to be pedagogically generic, leaving its use to the creativity of the instructor. Technological solutions for local machines can be quite extensive, but cost and time constraints then limit availability for student use. The internet has the …

Husserl, Jacob Klein, And Symbolic Nature, Joseph K. Cosgrove

Philosophy Faculty Publications

This paper examines Husserl's later philosophy of science in light of Jacob Klein's work in the history of mathematics and in the context of 20th-century "spacetime" physics.

The Philosophy Of Intellect Of Robert Grosseteste, John Shannon Hendrix

Architecture, Art, and Historic Preservation Faculty Publications

No abstract provided.

Ua1c7 Departmental Photos, Wku Archives

WKU Archives Collection Inventories

Images showing everyday activities of university departments.

A Review Of The Literature On Mathematics And Science Teacher Quality, Johnna J. Bolyard, Patricia S. Moyer-Packenham

Teacher Education and Leadership Faculty Publications

A large body of literature exists that examines teacher quality characteristics and the relationship of indicators of those characteristics to teacher effectiveness. This existing research literature broadly views teacher quality research without illuminating specific areas of teacher quality, such as mathematics and science. In an effort to focus the literature base for researchers and policymakers more narrowly, this review specifically examines teacher quality as it relates to mathematics and science teaching and learning. The review highlights key policy and practitioner perspectives, provides a focused synthesis on current research findings on mathematics and science teacher quality, and suggests areas of research …