Science and Mathematics Education Commons^™

Teaching Science In Light Of World View: The Effect Of Contextualized Instruction On The Scientific Compatibility Of Religious College Students' World Views, Paula Rae Gossard

Dissertations

Authors of recent science reform documents promote the goal of scientific literacy for all Americans (American Association for the Advancement of Science, 1989, 1993). Some students, however, feel apprehensive about learning science due to perceptions that science is antagonistic to their world views (Alters, 2005; Esbenshade, 1993). This study investigated the effect of an introductory science course taught in the context of a Christian, theistic world view on the scientific compatibility of religious college students' world views. For the purposes of this study, students' understanding of the nature of science, affective attitudes toward science, and beliefs regarding creation were used …

Supply, Demand And Approaches To Employment By People With Postgraduate Research Qualifications In Science And Mathematics: Literature Review And Data Analysis, Daniel Edwards, T Fred Smith

Dr Daniel Edwards

This report is the first in a project that investigates the demand for and supply of people with science and mathematics postgraduate qualifications in Australia. This report is divided into two main parts: a literature review and a data analysis. The report uses numerous national data sets to present a picture of the supply, demand and employment dynamics of postgraduates in the natural and physical sciences in Australia. The figures indicate an increasing number of postgraduates are completing studies in these fields. However, compared with other fields of education, supply in the natural and physical sciences is increasing at a …

The Effect Of Prior Knowledge In Undergraduate Performance In Chemistry: A Correlation – Prediction Study, Michael K. Seery

Theses

No abstract provided.

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 …

Are Mathematical Entities Real?, Phillip E. Lestmann

ACMS Conference Proceedings 2009

This talk will introduce ontological questions related to mathematics. After surveying the views of Plato and Artistotle, other possible philosophical perspectives will be considered including realism, nominalism, conceptualism, and empiricism with their relative strengths and weaknesses. The discussion will conclude with a possible biblical foundation for mathematical ontology.

History Of Mathematics In The Service Of School Mathematics Education, Calvin Jongsma

ACMS Conference Proceedings 2009

This slide presentation outlines the author's use of history of mathematics in teaching a mathematics-content course to prospective middle school mathematics teachers. A pedagogical rationale for using history of mathematics is given, along with a case study illustrating its use for teaching the topic of ratio and proportion drawing upon the numerical and geometrical theories of such found in Euclid's Elements.

A Career Preparation Course For Students In Mathematics And Computer Science, Donna Pierce, Peter A. Tucker

ACMS Conference Proceedings 2009

As professors, we all want our students to succeed, and to be motivated to study. We all get questions from students that can be boiled down to, "What can I do with X degree?" Certainly, a quick answer is to point students to career websites, or to send them to the career services department on campus. However, we want to do better than that. We want students to learn how to investigate these future directions, and to have them think about their future more holistically--not just an effort to find a job. To that end, we have developed a course …

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. …

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. …

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.

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 …

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 …

Fire! Lessons Learned And Applied To Computer Systems, Kim P. Kihlstrom

ACMS Conference Proceedings 2009

A wildfire swept through Santa Barbara on November 13, 2008, burning 1940 acres and destroying 230 homes. Nine structures on the Westmont College campus were destroyed as well as fifteen faculty homes near campus. What insights can be drawn from this experience? We will examine some of the lessons that can be applied to the design of intrusion-tolerant computer systems.

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 …

Galileo's Solution To Dante's Riddle, Andrew Simoson

ACMS Conference Proceedings 2009

In Dante’s Inferno, several riddles are posed regarding the relative sizes of ordinary men versus giants versus Lucifer—all of which Galileo solves in his first public lecture—which we review herein.

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 …

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.

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?

Introduction (2009), Terry Perciante

ACMS Conference Proceedings 2009

Seventeenth Conference of the Association of Christians in the Mathematical Sciences

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

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

ACMS Conference Proceedings 2009

Seventeenth Conference of the Association of Christians in the Mathematical Sciences

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

Gender, Mathematics, Reading Comprehension And Science Reasoning As Predictors Of Science Achievement Among African-American Students At A Historical Black College Or University, Consuella Artiemese Davis

Dissertations

This study investigated predictors that influence the science achievement of African-American non-science majors in a Physical Science class. The population consisted of male and female college students enrolled in Physical Science courses at a historical black college or university (HBCU) located in the southeastern portion of the United States. A personal data information sheet was administered to 120 participants during the Fall of 2008. The personal data information sheet consisted of questions pertaining to the high school courses, students took in math, language arts and science. It also consisted of basic background information. Students also gave written consent for their …

Research On Undergraduate Mathematics Education In Afghanistan: How Students Understand And Learn The Concept Of “Function”, Ahmad Khalid Mowahed

Master's Capstone Projects

The purpose of this study was to explore undergraduate students’ conception of the concept of function in the education faculty of Balkh University, Afghanistan. In particular, the focus was to see what difficulties they had in learning the concept and to determine those factors that impeded/facilitated the learning of the concept in the curriculum. The research methodology was an exploratory approach where both qualitative and quantitative methods were used to analyze the data. The theoretical basis for the study was David Tall’s theory which focuses on understanding one’s knowledge and learning. David Tall’s theory was used to analyze qualitative data …

Education Faculty Math Curriculum And In-Service Teachers Needs, Sayed Sarwar Yaqubi

Master's Capstone Projects

This study accomplished as an education master thesis and addresses the following issue- the education faculty math curriculum in Jowzjan University in Afghanistan and the in-service teachers’ needs. I conducted this study on third-year in-service teachers who are studying at the Jowzjan University in Afghanistan. This study was conducted as qualitative study; there were 11 participants from the third-year in-service teachers. The methodology system was interview with participants. Because of the lack of time I did just one time interview with the participants. There were not class observation and group discussion. The finding from this study revealed some important and …

Working Toward A Third Space In The Teaching Of Elementary Mathematics, Ryan Flessner

Scholarship and Professional Work – Education

Building on work in the area of third space theory, this study documents one teacher’s efforts to create third spaces in an elementary mathematics classroom. In an attempt to link the worlds of theory and practice, I examine how the work of other theorists and researchers – inside and outside the field of education – can create new lenses for classroom practitioners. In addition, the article provides evidence that third spaces may be more difficult to realize than others have described. Rather than forcing a third space to emerge, what this study finds more important is creating an environment that …

Oregon Mathematics Leadership Institute Project: Evaluation Results On Teacher Content Knowledge, Implementation Fidelity, And Student Achievement, D. Weaver, T. Dick

Journal of Mathematics and Science: Collaborative Explorations

The Oregon Mathematics Leadership Institute (OMLl) National Science Foundation Mathematics and Science Partnership project partners are Oregon State University, Portland State University, Teachers Development Group, and ten Oregon school districts. The primary activities of the project were a sequence of three intensive three-week residential institutes emphasizing mathematics content knowledge for teaching, collegial leadership, and the building of Professional Learning Communities. Teachers at all levels of grades K-12 participated together in the mathematics content courses. By the conclusion of the. third Summer Institute, teachers had shown significant improvements in mathematical content knowledge for teaching. Analysis of student achievement data in participating …

Title Page, Preface

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

Understanding Teacher Leadership In Middle School Mathematics: A Collaborative Research Effort, J. E. Pustejovsky, J. P. Spillane, R. M. Heaton, W. J. Lewis

Journal of Mathematics and Science: Collaborative Explorations

We report findings from a collaborative research effort designed to examine how teachers act as leaders in their schools. We find that teachers educated by the Math in the Middle Institute act as key sources of advice for colleagues within their schools while drawing support from a network consisting of other teachers in the program and university-level advisors. In addition to reporting on our findings, we reflect on our research process, noting some of the practical challenges involved, as well as some of the benefits of collaboration.