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Articles 961 - 990 of 1369
Full-Text Articles in Physical Sciences and Mathematics
Carman, William, 1790-1841 (Mss 52), Manuscripts & Folklife Archives
Carman, William, 1790-1841 (Mss 52), Manuscripts & Folklife Archives
Manuscript Collection Finding Aids
Ciphering books (2) of William Carman, a teacher in Mayfield, Kentucky. One book is dated 1815-1816; the other one is undated, but evidently of the same period. The ciphering used is the British pound system. The title page of one volume is by Gavin G. Craig of WKU's Penmanship Department.
Religion And Science At The Turn Of The Century, Calvin Jongsma
Religion And Science At The Turn Of The Century, Calvin Jongsma
Pro Rege
This article was published in the 2007 issue of the online Journal of the ACMS (Association of Christians in the Mathematical Sciences).
Environmental Limits On The Nonresonant Cosmic-Ray Current-Driven Instability, Brian Reville, John Kirk, Peter Duffy, Stephen O'Sullivan
Environmental Limits On The Nonresonant Cosmic-Ray Current-Driven Instability, Brian Reville, John Kirk, Peter Duffy, Stephen O'Sullivan
Articles
We investigate the so-called nonresonant cosmic-ray streaming instability, first discussed by Bell (2004). The extent to which thermal damping and ion-neutral collisions reduce the growth of this instability is calculated. Limits on the growth of the nonresonant mode in SN1006 and RX J1713.7-3946 are presented.
Imagine Math Day: Encouraging Secondary School Students And Teachers To Engage In Authentic Mathematical Discovery, Darryl H. Yong, Michael E. Orrison Jr.
Imagine Math Day: Encouraging Secondary School Students And Teachers To Engage In Authentic Mathematical Discovery, Darryl H. Yong, Michael E. Orrison Jr.
All HMC Faculty Publications and Research
Research mathematicians and school children experience mathematics in profoundly different ways. Ask a group of mathematicians what it means to “do mathematics” and you are likely to get a myriad of responses: mathematics involves analyzing and organizing patterns and relationships, reasoning and drawing conclusions about the world, or creating languages and tools to describe and solve important problems. Students of mathematics often report “doing mathematics” as performing calculations or following rules. It’s natural that they see mathematics as monolithic rather than an evolving, growing, socially constructed body of knowledge, because most mathematical training in primary and secondary schools consists of …
Review Of Quantitative Reasoning: Tools For Today's Informed Citizen By A. Sevilla And K. Somers, Aaron G. Montgomery
Review Of Quantitative Reasoning: Tools For Today's Informed Citizen By A. Sevilla And K. Somers, Aaron G. Montgomery
Numeracy
Alicia Sevilla and Kay Somers, Quantitative Reasoning: Tools for Today’s Informed Citizen. (Emeryville CA: Key College Publishing, 2007). 626 pp. Softcover with Student CD. $79.95 (USA) ISBN 1-931914-90-1. http://www.keycollege.com/catalog/titles/quantitative_reasoning.html
From charts and graphs (Topic 1) to decision making (Topic 21), Quantitative Reasoning offers a good selection of topics that students in a general education mathematics course and other individuals in our society should understand. Organizing the 21 chapters (topics) under the headings of numerical reasoning, logical reasoning, and statistical reasoning, Sevilla and Somers focus their chapters on examples and devote the last 224 pages to 21 Excel activities. Parallel graphic-calculator …
Word Problems: Reflections On Embedding Quantitative Literacy In A Calculus Course, Gizem Karaali
Word Problems: Reflections On Embedding Quantitative Literacy In A Calculus Course, Gizem Karaali
Numeracy
Even though Quantitative Literacy (QL) programs are currently being developed and implemented in several colleges and universities, most schools still depend on traditional mathematics courses to reach their quantitative literacy goals. This note is a case study of how a traditional mathematics course sequence intended for students majoring in social and life sciences may be modified and adapted to at least partially fulfill the need in the absence of a stand-alone QL program. In particular, we focus on a freshman-level mathematics course sequence that serves various client departments. This sequence covers the traditional content of a first-year calculus sequence along …
Algorithms For Some Geometric Facility Location And Path Planning Problems., Sasanka Roy Dr.
Algorithms For Some Geometric Facility Location And Path Planning Problems., Sasanka Roy Dr.
Doctoral Theses
The facility location problem is a resource allocation problem that mainly deals with adequate placement of various types of facilities to serve a distributed set of demands satisfying the nature of interactions between the demands and facilities and optimizing the cost of placing/maintaining the facilities and the quality of services.The facility location problem is well-studied in the Operations Research literature and recently has received a lot of attention in the Computer Science community. For a company, the facility location problem provides more strategic decisions than just giving importance to locate the lowest cost space for storing its products. While identifying …
Faculty Travel: Philip Scalisi - On The Trail Of Leonhard Euler And The History Of Mathematics, Andrew C. Holman, Philip Scalisi
Faculty Travel: Philip Scalisi - On The Trail Of Leonhard Euler And The History Of Mathematics, Andrew C. Holman, Philip Scalisi
Bridgewater Review
No abstract provided.
Blair Family - Ciphering Book (Sc 1659), Manuscripts & Folklife Archives
Blair Family - Ciphering Book (Sc 1659), Manuscripts & Folklife Archives
Manuscript Collection Finding Aids
Finding aid only for Manuscripts Small Collection 1659. Ciphering book created by Blair family member in Fleming County, Kentucky. Although undated, the book contains several mathematical problems with dates ranging from 1792 to 1796. Fleming County, which is noted in one of the problems, was established in 1798.
An Optimal-Order Error Estimate For A Family Of Ellam-Mfem Approximations To Porous Medium Flow, Hong Wang
An Optimal-Order Error Estimate For A Family Of Ellam-Mfem Approximations To Porous Medium Flow, Hong Wang
Faculty Publications
Mathematical models used to describe porous medium flow lead to coupled systems of time-dependent nonlinear partial differential equations, which present serious mathematical and numerical difficulties. Standard methods tend to generate numerical solutions with nonphysical oscillations or numerical dispersion along with spurious grid-orientation effect. The ELLAM-MFEM time-stepping procedure, in which an Eulerian–Lagrangian localized adjoint method (ELLAM) is used to solve the transport equation and a mixed finite element method (MFEM) is used for the pressure equation, simulates porous medium flow accurately even if large spatial grids and time steps are used. In this paper we prove an optimal-order error estimate for …
Σary, Minnesota State University Moorhead, Mathematics Department
Σary, Minnesota State University Moorhead, Mathematics Department
Math Department Newsletters
No abstract provided.
A Hike Through The Forest: The Knapsack Problem In Graph Theory, Bridget K. Druken
A Hike Through The Forest: The Knapsack Problem In Graph Theory, Bridget K. Druken
Senior Honors Projects
Graph theory is a branch of mathematics which studies graphs a collection of a set of edges and vertices used to sometimes model structures. My interest in graph theory began last semester in a math/computer science course entitled “Discrete Structures." One aspect which makes graph theory an appealing area to research is the amount of understanding that comes from a relatively short amount of time spent learning the subject material. The visual appeal of being able to draw a graph along practical applications that surface daily make graph theory a prime candidate for further research. Through research of the history …
Differential Equations: A Universal Language, Bethany Caron
Differential Equations: A Universal Language, Bethany Caron
Senior Honors Projects
“Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.” – David Hilbert Differential equations are equations of one or more variables that involve both functions and their derivatives. These equations have many applications to the everyday “non-math” world, including modeling in engineering, physics, biology, chemistry, and economics. Differential equations are used when a situation arises where one needs to study a continuously changing quantity (expressed as a function) and its rate of change (expressed through its derivatives). The solutions to differential equations are functions that make the original equation hold true, and they can …
It's All About The Teachers: Bank Street's Math For Teachers As Professional Development, Robin Hummel
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 …
A Brief Study Of Some Aspects Of Babylonian Mathematics, Tom Zara
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 …
2008 Sonia Kovalevsky Math For Girls Day Report, Association For Women In Mathematics, Lincoln University Of Missouri, Donna L. Stallings
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.
Motivation In Secondary Mathematics: How Lesson Structure Impacts Student Engagement, Vicki Beata
Motivation In Secondary Mathematics: How Lesson Structure Impacts Student Engagement, Vicki Beata
Leah A. Nillas
The purpose of this research is to see how students are engaged emotionally, behaviorally, and cognitively in different types of math lessons. Shernoff, Csikszentmihalyi, Schneider, and Shernoff (2003) found that students had a higher quality of experience (mood, esteem, intensity, and motivation) when they were involved in individual or group work. This study analyzed transcriptions, observations and student work from three pre-calculus lessons, a survey about students’ engagement in different types of lessons and an open-ended survey about the researcher’s teaching style. The results of the study were that students enjoy and are more engaged in lessons that require the …
Geometric Primitives In Digital Images: Analyses And Applications Using Digital Geometry., Partha Bhowmick Dr.
Geometric Primitives In Digital Images: Analyses And Applications Using Digital Geometry., Partha Bhowmick Dr.
Doctoral Theses
No abstract provided.
Dynamic Web Tools For Trigonometry, Steven J. Wilson
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 …
Barriers To Using Ict In Mathematics Teaching: Issues In Methodology, Rebecca Hudson, Anne L. Porter, Mark I. Nelson
Barriers To Using Ict In Mathematics Teaching: Issues In Methodology, Rebecca Hudson, Anne L. Porter, Mark I. Nelson
Faculty of Informatics - Papers (Archive)
In this paper we examine the barriers to using ICT of secondary mathematics teachers in the classroom. The sample contained 114 mathematics teachers from public secondary schools in New South Wales (Australia). The instrument used in this study was a survey questionnaire mailed to secondary schools in the New South Wales Department of Education and Training. The questionnaire design is a closed-response with five open-ended questions. Results of the study showed that lack of access to computer labs is the number one barrier to using ICT in the classroom. But when a second analysis using a logistic regression analysis modeling …
Is Mathematics Created By Humans Or Is It Discovered By Humans? A Catholic Intellectual Perspective, Jason J. Molitierno
Is Mathematics Created By Humans Or Is It Discovered By Humans? A Catholic Intellectual Perspective, Jason J. Molitierno
Presidential Seminar on the Catholic Intellectual Tradition
In this essay, Dr. Molitierno intends to show that not only is it appropriate to discuss the Catholic Intellectual Tradition in light of mathematics, the CIT can actually be exemplified in mathematics!
The Art Of Teaching Mathematics, Garikai Campbell, Jon T. Jacobsen, Aimee S A Johnson, Michael E. Orrison Jr.
The Art Of Teaching Mathematics, Garikai Campbell, Jon T. Jacobsen, Aimee S A Johnson, Michael E. Orrison Jr.
All HMC Faculty Publications and Research
On June 10–12, 2007, Harvey Mudd College hosted A Conference on the Art of Teaching Mathematics. The conference brought together approximately thirty mathematicians from the Claremont Colleges, Denison, DePauw, Furman, Middlebury, Penn State, Swarthmore, and Vassar to explore the topic of teaching as an art. Assuming there is an element of artistic creativity in teaching mathematics, in what ways does it surface and what should we be doing to develop this creativity?
Algebraic And Combinatorial Properties Of Certain Toric Ideals In Theory And Applications, Sonja Petrovic
Algebraic And Combinatorial Properties Of Certain Toric Ideals In Theory And Applications, Sonja Petrovic
University of Kentucky Doctoral Dissertations
This work focuses on commutative algebra, its combinatorial and computational aspects, and its interactions with statistics. The main objects of interest are projective varieties in Pn, algebraic properties of their coordinate rings, and the combinatorial invariants, such as Hilbert series and Gröbner fans, of their defining ideals. Specifically, the ideals in this work are all toric ideals, and they come in three flavors: they are defining ideals of a family of classical varieties called rational normal scrolls, cut ideals that can be associated to a graph, and phylogenetic ideals arising in a new and increasingly popular area of …
New Classes Of Codes For Cryptologists And Computer Scientists, Florentin Smarandache, W.B. Vasantha Kandasamy
New Classes Of Codes For Cryptologists And Computer Scientists, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications
Historically a code refers to a cryptosystem that deals with linguistic units: words, phrases etc. We do not discuss such codes in this book. Here codes are message carriers or information storages or information transmitters which in time of need should not be decoded or read by an enemy or an intruder. When we use very abstract mathematics in using a specific code, it is difficult for non-mathematicians to make use of it. At the same time, one cannot compromise with the capacity of the codes. So the authors in this book have introduced several classes of codes which are …
Inverse Spectral Results On Even Dimensional Tori, Carolyn Gordon, Pierre Guerini, Thomas Kappeler, David Webb
Inverse Spectral Results On Even Dimensional Tori, Carolyn Gordon, Pierre Guerini, Thomas Kappeler, David Webb
Dartmouth Scholarship
Given a Hermitian line bundle L over a flat torus M, a connection ∇ on L, and a function Q on M, one associates a Schrödinger operator acting on sections of L; its spectrum is denoted Spec(Q;L,∇). Motivated by work of V. Guillemin in dimension two, we consider line bundles over tori of arbitrary even dimension with “translation invariant” connections ∇, and we address the extent to which the spectrum Spec(Q;L,∇) determines the potential Q. With a genericity condition, we show that if the connection is invariant under the isometry of M defined by the map x→-x, then the spectrum …
Development Of Case Stories By Interviewing Students About Their Critical Moments In Science, Math, And Engineering Classes, Vicki V. May, Thomas H. Luxon, Kathy Weaver, Rachel Esselstein, Cynthia Char
Development Of Case Stories By Interviewing Students About Their Critical Moments In Science, Math, And Engineering Classes, Vicki V. May, Thomas H. Luxon, Kathy Weaver, Rachel Esselstein, Cynthia Char
Numeracy
Dartmouth’s Critical Moments project is designed to promote discussions among faculty and graduate students about the retention of students, particularly women and minorities, in science, math, and engineering (SME) disciplines. The first phase of the ongoing project has been the development of four case stories, which are fictionalized composites drawn from surveys and interviews of real Dartmouth students. The surveyed population was 125 students in general chemistry. Of the 77 who agreed to be interviewed, 61 reported having experienced a critical moment – i.e., a positive or negative event or time that had a significant impact on the student’s academic …
Teachers Talk: Pressure Points In The K-8 Mathematics Curriculum, Kim Rheinlander, Dorothy Wallace, Wells Morrison, Daniel Ansari, Donna Coch, B. Venus Williams
Teachers Talk: Pressure Points In The K-8 Mathematics Curriculum, Kim Rheinlander, Dorothy Wallace, Wells Morrison, Daniel Ansari, Donna Coch, B. Venus Williams
Numeracy
Forty K-8 teachers participated in small, in-depth, facilitated discussions about "pressure points" in the curriculum. We define a pressure point as a topic, skill, or concept that is crucial to future mathematics learning but which many or most students do not master to the extent expected at a given grade level. They are issues that persist from one grade level to the next; eventually they impair the ability of students to succeed in technical disciplines. The teachers identified a number of pressure points; we focus on an understanding of place value and "reasonableness" of answer as two examples that were …
Scientifically Based Research In Quantitative Literacy: Guidelines For Building A Knowledge Base, Richard L. Scheaffer
Scientifically Based Research In Quantitative Literacy: Guidelines For Building A Knowledge Base, Richard L. Scheaffer
Numeracy
Research in quantitative literacy (QL) is in its infancy, so now is the time to begin a regimen for healthy growth into adulthood. As a new discipline still defining itself, QL has the opportunity to build a sound infrastructure for accumulating a solid body of interconnected research that will serve the discipline well in years to come. To that end, much can be learned from recent studies of the weaknesses of mathematics education research and recommendations on how to overcome them. Mathematics education lacks a strong research foundation, one that is scientific, cumulative, interconnected, and intertwined with teaching practice. These …
Evolution Of Numeracy And The National Numeracy Network, Bernard L. Madison, Lynn Arthur Steen
Evolution Of Numeracy And The National Numeracy Network, Bernard L. Madison, Lynn Arthur Steen
Numeracy
The National Numeracy Network grew from heightened awareness of the complex and sophisticated nature of quantitative literacy and the resulting need for interdisciplinary attention to education for quantitative literacy in schools and colleges. This complexity and sophistication applies especially to the US where it is fueled by an agile economy and the needs of a democratic society. This paper describes the environment surrounding the National Numeracy Network’s establishment, some of its activities, and some complementary and synergistic actions by other professional societies. The paper concludes with a sample of quantitative literacy programs in colleges and universities
Teaching Time Savers: The Exam Practically Wrote Itself!, Michael E. Orrison Jr.
Teaching Time Savers: The Exam Practically Wrote Itself!, Michael E. Orrison Jr.
All HMC Faculty Publications and Research
When I first started teaching, creating an exam for my upper division courses was a genuinely exciting process. The material felt fresh and relatively unexplored (at least by me), and I remember often feeling pleasantly overwhelmed with what seemed like a vast supply of intriguing and engrossing exam-ready problems. Crafting the perfect exam, one that was noticeably inviting, exceedingly fair, and unavoidably illuminating, was a real joy.