Teacher Education and Professional Development Commons^™

Sage: Math In Your Dorm Room, From Calculus To Research, Karl-Dieter Crisman

ACMS Conference Proceedings 2009

As computers have revolutionized math research in disciplines as disparate as number theory and bioinformatics, it is natural for us to introduce our students to technology in ways beyond mere homework-checking. However, most familiar programs are either not comprehensive enough to encompass all the math in our curriculum, or are very expensive and accessible only in a lab or with a student license. The open source software package Sage addresses all of these issues.

Sage is suitable for discovery and computation in introductory courses such as calculus or linear algebra, while also being ideal for use in upper-level courses or …

Can Critical Thinking Be Redeemed?, Jeremy Case

ACMS Conference Proceedings 2009

We often claim that mathematics develops critical thinking skills. Critical thinking has many different definitions, but problem solving, deduction, analyzing arguments, and identifying assumptions are all certainly a part of critical thinking. As the trend in higher education moves away from focusing exclusively on content towards assessment and learning outcomes, we can justify our endeavors since mathematics and critical thinking align themselves well.

However, when examining the ultimate purpose of critical thinking in higher education, we must take care. If there is no agreed upon content knowledge in our postmodern age, the focus of education falls elsewhere. How one thinks …

Exploring The Limits Of Computing Through Exhaustive Search, Jeffrey L. Lehman

ACMS Conference Proceedings 2009

Many computing problems can be solved by identifying all possible moves or combinations of events and then picking the best solution. Problems in this domain provide fertile ground for exploring problem representation, storage requirements, and computational complexity. The problems and solution approaches are easy to understand, yet quickly push the memory and storage limits of a personal computer. This paper describes insights from a preliminary investigating of two exhaustive search problems, the 15-puzzle and Rubik’s cube. The insights gained by looking at exhaustive search problems can be integrated into classroom discussions and projects.

Monoids For Math Majors, Brian D. Beasley

ACMS Conference Proceedings 2009

Inspired by an MAA PREP workshop on “The Art of Factorization in Multiplicative Structures”, this paper will treat the basics of congruence monoids and arithmetical congruence monoids with their potential for a Modern Algebra or capstone course.

Supplemental Vocabulary Acquisition In The Desymbol Logic Translator, Darren F. Provine, Nancy Lynn Tinkham

ACMS Conference Proceedings 2009

DeSymbol is a program that translates first-order predicate logic expressions into English. It is designed to help students practice when learning or reviewing symbolic logic: students begin by translating English sentences into symbolic logic notation, and then they can use DeSymbol to translate the logic back into English to check their work.

The newest version of DeSymbol adds the ability for the user to expand the system’s vocabulary, using a web interface. The user can enter new nouns, verbs, or adjectives, specifying each word’s part of speech, its singular and plural forms, and (for verbs) whether the verb takes an …

Professor Peacock's Symbolical Algebra: Glimpses Into The Life And Work Of A Mathematical Reformer, Richard Stout

ACMS Conference Proceedings 2009

In his 1859 obituary of George Peacock (Royal Society of London, 1859),the nineteenth century mathematician and Dean of Ely Cathedral, his friend and long-time colleague J. F. W. Herschel not only lists Peacock's accomplishments as an educator, a churchman, and a mathematician, but also describes a man who embodies warmth and wisdom, the kind of person you would enjoy knowing and having as a colleague. Writing about Peacock in the Memoirs of the Royal Astronomical Society, Augustus DeMorgan echoes these sentiments when he says that "Whenever a man of safe judgment was wanted, who united kindness and courtesy to a …

The Development Of Mathematical And Spiritual Maturity In The Undergraduate Mathematics Curriculum, Angela Hare

ACMS Conference Proceedings 2009

Colleges and universities that teach mathematics have a responsibility to develop in students an appreciation of the powerful tools they are studying in the mathematics curriculum. Beyond this fundamental responsibility, the Christian college or university has the richer task of equipping mathematics graduates to use their mathematical knowledge and skills to sharpen their spiritual insight, to serve others, and to promote justice and freedom in society. The growth in mathematical maturity that occurs during the undergraduate years is an asset that enables Christian students of mathematics to participate in the redemptive work of Jesus Christ through their discipline of study. …

Approximating Sums Of Infinite Series, Kara Garrison, Thomas E. Price

ACMS Conference Proceedings 2009

The Euler-Maclaurin summation formula is frequently used to efficiently estimate sums of infinite series of the form $\sum_{j=1}^{\infty}f(j)$. The purpose of this article is to describe a modification of this numerical technique designed to simplify and reduce the computational effort required to obtain an acceptable estimate of the sum. The modified formula is obtained by replacing $f\left( x\right) $ with an easily constructed polynomial like interpolating function $a\left( x\right) $ designed to simplify the calculation of the integral and derivatives associated with Euler-Maclaurin. This approach provides a more tractable algorithm which can be written as a matrix equation. Examples are …

Integrating Dynamic Software Into Geometry Courses At Middle School, High School, And College Levels: Ten Lesson Plan And Instruction Material Units Incorporating Geometer's Sketchpad Version 4.07, Jamie Blauw, Lauren Zylstra, Dave Klanderman

ACMS Conference Proceedings 2009

This paper explores the use of dynamic geometry software (Geometer's Sketchpad) in the teaching and learning of Geometry at the high school and college level. As part of an honors project, two of the authors created a series of lesson activities to address specific geometric concepts. Each lesson implements Geometer's Sketchpad to create an engaging student-centered learning environment.

A Vision For Acms, James Bradley

ACMS Conference Proceedings 2009

This paper applies McGrath's and Heller's approach to the consideration of mathematics. It assumes that mathematics is not self-interpreting, but that, looked at from a framework informed by the Christian scriptures, it can be seen as having significant meaning and value and a transcendent purpose. In particular, it presents a classical interpretation of mathematics broadly conceived, presents two approaches to providing warrant for such an interpretation, and explores some implications. It argues, by means of the example of the classical interpretation, that the relationship between mathematics and theology is a viable area of scholarly inquiry encompassing profound and fascinating questions. …

Arithmetic Sequences, Diophantine Equations And The Number Of The Beast, Bryan Dawson

ACMS Conference Proceedings 2009

Revelation 13:18 invites anyone with "understanding" to "calculate the number of the beast". This session reviews historical attempts using arithmetic sequences and gives conditions by which a name is "beastable" by those methods. Do these approaches make it reasonable to identify the beast based on such calculation alone?

A Quick Way To Find The Arc Length Between Between Two Points Of The Logarithmic Spiral, Peter Rothmaler

ACMS Conference Proceedings 2009

No abstract provided.

Algebra Investigator, Al Hibbard

ACMS Conference Proceedings 2009

No abstract provided.

About Furuta's Inequality And Aluthge Transform On Pseudo-Hilbert Spaces, Loredana Ciudariu

ACMS Conference Proceedings 2009

No abstract provided.

Paper Abstracts (2009), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2009

Seventeenth Conference of the Association of Christians in the Mathematical Sciences

Introduction (2009), Terry Perciante

ACMS Conference Proceedings 2009

Seventeenth Conference of the Association of Christians in the Mathematical Sciences

The Heavens And The Scriptures In The Eyes Of Johannes Kepler, Dale L. Mcintyre

ACMS Conference Proceedings 2009

The heavens declare the glory of God… Ps. 19:1 Acclaimed as one of the most accomplished and influential scientists of his time, the subject of this paper was also a passionate defender of the Christian faith who believed he had been called by God to glorify Him in the study of His Creation. We see a man who was so immersed in both the Scriptures and his exploration of the heavens that his scholarly writings often burst forth with biblical quotations and songs of praise for God the Creator. Though always magnanimous and tolerant of others, he suffered persecution from …

Table Of Contents (2009), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2009

Seventeenth Conference of the Association of Christians in the Mathematical Sciences

Schedule (2009), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2009

Seventeenth Conference of the Association of Christians in the Mathematical Sciences

Curriculum Evolution At The Department Of Baking Technology (National Bakery School), Dit, Kevin Street 1998-2008: What Factors Have Brought About A Change In The Curriculum, Mary Kavanagh

Theses

This thesis research set out to examine the factors which have contributed to curriculum evolution at the National Bakery School, Technologicl University Dublin (DIT) from 1998 to 2008. It focused on a number of dimensions which have contributed to a radical shift in curriculum. Those dimensions include biographical, cultural, micro-political, structural, socio-historical, technological and scientific. The research design was essentially a hermeneutical, interpretative case study using qualitative data gathering techniques. The primary research methods employed were interviews conducted with lecturing staff, and a survey conducted with students travelling to Germany for continuing professional development. An extensive literature review was conducted …

Rules And Insights: Connecting The Mathematical And Linguistic Abilities Of C.S. Lewis, Kim Regnier Jongerius

ACMS Journal 2008-2009

While most biographical works on C.S. Lewis give passing reference to Lewis' problems with elementary mathematics, few have made an attempt at diagnosing the difficulty or exploring its impact on his writing. A careful study of family correspondence, however, makes it clear that his learning difficulties were not with mathematics alone and suggests connections between attitudes toward and abilities in both mathematics and language. This paper will make these connections clear and will illustrate their ties to Lewis' effective mathematical references.

Embodied Discourses Of Literacy In The Lives Of Two Preservice Teachers, Donna Kalmbach Phillips, Mindy Legard Larson

Faculty Publications

This study examines the emerging teacher literacy identities of Ian and A.J., two preservice teachers in a graduate teacher education program in the United States. Using a poststructural feminisms theoretical framework, the study illustrates the embodiment of literacy pedagogy discourses in relation to the literacy courses’ discourse of comprehensive literacy and the literacy biographical discourses of Ian and A.J. The results of this study indicate the need to deconstruct how the discourse of comprehensive literacy limits how we, as literacy teacher educators, position, hear and respond to our preservice teachers and suggests the need for differentiation in our teacher education …

Cognitive Preference And Ethnic Identity Among Anglo And Native American High School Students, Chad Martin Novak

Walden Dissertations and Doctoral Studies

According to the Office of Educational Research and Improvement: A Project of the Stanford Institute for Higher Education Research, graduation rates for Native Americans from both secondary and post secondary institutions are dismally low at 58% and 7%, respectively. Some research addresses cognitive preference and other ethnic identity, but research animating the cognitive preference---ethnic identity interplay for high school students is absent. These limitations in access to educational opportunities lead to abbreviated quality life experiences and a restriction in individual efficacy and collective agency. The following project assessed ethnic identity using Phinney's Multigroup Ethnic Identity Measure and cognitive preference using …

Facilitating High School Student Success Through Read 180: Analysis Of Program Impact Using Measures Of Academic Progress (Map), Holly Mcwhorter

Walden Dissertations and Doctoral Studies

In response to its failure to meet state mandated proficiency standards in reading and mathematics over the past three years, a rural, Title I high school (LS) in South Carolina purchased and implemented the commercially available literacy program READ 180 (R180) for the 2008-2009 academic year. While previous research reported by Scholastic, Incorporated (R180) had provided support for the use of R180 in improving literacy, these studies have been criticized recently for their lack of comparable control groups, experimenter bias and lack of data from other content areas such as mathematics. The purpose of this study was to determine the …

Nonquantifiable Instructional Factors That Contribute To Achievement In Reading For Students In Grades 3-4 In A Midwestern Urban School District, Alice Marie Figgs

Walden Dissertations and Doctoral Studies

Currently some elementary students in large urban school districts are not able to perform well in school because they do not have strong reading skills. The recent No Child Left Behind (NCLB) federal legislation has supported the use of research-based instructional materials and strategies in reading to remedy this problem; however, qualitative studies exploring the specific nonquantifiable instructional factors that contribute to reading achievement in large urban school districts are still limited. The purpose of this multiple empirical case study was to explore the instructional factors that contributed to achievement in reading for students in Grades 3 and 4 at …

A Study Of The Impact Of Imagination Library Participation On Kindergarten Reading Achievement, Lisa Embree

Walden Dissertations and Doctoral Studies

Very little research has been conducted on the impact of the Imagination Library, a Tennessee based reading program, on student reading achievement. Therefore, the purpose of this cross-sectional explanatory study was to test whether Imagination Library program participation had an impact on reading achievement for kindergarten students from 3 rural elementary schools. The theoretical basis for this study was Vygotsky's sociocultural theory, the process of scaffolding, and language learning models. ANOVA was used to test the hypothesis that reading achievement for participants was significantly different from nonparticipants and was also used to test the hypotheses of relationships between reading achievement …

Saying Yes To Freestyle Volunteering: Doubting And Believing, Judy Lightfoot

The Journal of the Assembly for Expanded Perspectives on Learning

My formerly academic interest in Peter Elbow's work developed fresh relevance a few years ago after a member of my family was diagnosed with schizophrenia. To volunteer "outside the box" with individuals who suffer from mental illness or homelessness, I needed a skeptic's doubt as well as an enthusiast :S belief But the first step was believing.

Reflections From A Grateful Guest Edit, Peter Elbow

The Journal of the Assembly for Expanded Perspectives on Learning

No abstract provided.

Jaepl, Vol. 15, Winter 2009-2010, Kristie S. Fleckenstein, Linda T. Calendrillo

The Journal of the Assembly for Expanded Perspectives on Learning

Essays

Peter Elbow - Reflections from a Grateful Guest Editor

Sheridan Blau - Believing and Doubting as Hermeneutic Metbod: Reading and Teaching Paradue Lost

Tim Doherty - Lessons from tbe Believing Game

Anne Ellen Geller - The Difficulty of Believing in Writing Across the Curriculum

Shelly Sheats Harkness, Catherine Pullin Lane, Sue Mau, Amber Brass - The Believing Game in Mathematics: Stories in a Discipline of Doubt

Judy Lightfoot - Saying Yes to Freestyle Volunteering: Doubting and Believing

Clyde Moneyhun - Believing, Doubting, Deciding, Acting

Irene Papoulis - A Refiection on Habitual Belief and Habitual Doubt

Stephanie Paterson - Friday …

The Difficulty Of Believing In Writing Across The Curriculum, Anne Ellen Geller

The Journal of the Assembly for Expanded Perspectives on Learning

What would happen if we tried to consider writing-acrossthe- curriculum work through the lens of Peter Elbows methodological believing? If we were to believe that every faculty person in the university is a writer, thinks about writing, and teaches writing in his or her own way, what virtues would we find that doubting leads us to disqualify?