Science and Mathematics Education Commons^™

Understanding The Transition Between High School And College Mathematics And Science, S. A. Culpepper, C. Basile, C. A. Ferguson, J. A. Lanning, M. A. Perkins

Journal of Mathematics and Science: Collaborative Explorations

Mathematics and science education is gaining increasing recognition as key for the well-being of individuals and society. Accordingly, the transition from high school to college is particularly important to ensure that students are prepared for college mathematics and science. The goal of this study was to understand how high school mathematics and science course-taking related to performance in college. Specifically, the study employed a nonparametric regression method to examine the relationship between high school mathematics and science courses, and academic performance in college mathematics and science courses. The results provide some evidence pertaining to the positive benefits from high school …

A Mathematician's Overview Of The Virginia Elementary Mathematics Specialist Program, L. D. Pitt

Journal of Mathematics and Science: Collaborative Explorations

This article discusses the mathematics component of the Mathematics Specialist master's degree program in the "Virginia Mathematics Specialist Project" (VMSP). It includes my personal views on the significant mathematical knowledge and skills that Mathematics Specialists need, the mathematics that is taught in the Mathematics Specialist courses, and my thoughts on what appear to be the substantial mathematical abilities and aptitudes that are required by successful Mathematics Specialists in their work. The interpretations I present are highly personal and are undoubtedly dependent on my personal history, a short description of which is given (see Appendix A).

Understanding College Students' Disconnections With Mathematics, Karen Jean Edwards

Legacy Theses & Dissertations (2009 - 2024)

This study explores the disconnections introductory college mathematics students experience with mathematics. The experiences of six former mathematics students from their earliest memories forward to present day were explored. The study employed an interpretive case study and an action research methodology to present a detailed, historical record of the students' interactions and disconnections with learning quantitative material.

Geometry Examples Encountered In Various Everyday Experiences, R. W. Farley

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

Reflections On What You Have Learned: A Rapporteur's Report On Virginia's "What We Have Learned Symposium", D. B. Erchick

Journal of Mathematics and Science: Collaborative Explorations

In this Rapporteur's Report on Virginia's "What We Have Learned Symposium" about a statewide Mathematics Specialist program, I discuss emergent topics resulting from presentations and discussion at the Symposium. Topics include defining Mathematics Specialists and coaches, addressing mathematics content in the program, providing ongoing support for Specialists and coaches, and supporting principals. I also provide suggestions, discuss absences in the program, and comment on cautions in revision and needs in dissemination.

Providing Real-World Experiences: The Virginia Tech Externship For Mathematics Specialists, B. Kreye, J. L. M. Wilkins

Journal of Mathematics and Science: Collaborative Explorations

We describe the structure and implementation of the yearlong Externship experience associated with the Mathematics Specialist program at Virginia Polytechnic Institute & State University (Virginia Tech). We discuss the assignments and experiences included in the Externship, the alignment of those experiences with the job description developed by the Virginia Mathematics and Science Coalition Task Force, and teacher comments on the effectiveness of their Externship experiences [1].

What Counts In The Preparation Program Of Mathematics Specialists And What Lessons Have We Learned About What Needs To Be Added?, S. S. Overcash

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

Contents

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

Title Page, Introduction

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

The Impact Of Elementary Mathematics Specialists, P. F. Campbell, N. N. Malkus

Journal of Mathematics and Science: Collaborative Explorations

Elementary Mathematics Specialists are placed in schools to construct leadership roles and to provide on-site professional development addressing mathematical content and pedagogy in order to enhance instruction and to improve student achievement. A three-year, randomized, control study found that, over time, Specialists had a significant positive impact on student achievement in Grades 3, 4, and 5. This effect on student achievement was not evident at the conclusion of the Specialist's first year of placement. It emerged as knowledgeable Specialists gained experience and as the schools' instructional and administrative staffs learned and worked together. Specialists who were highly engaged with a …

Early Algebra And Mathematics Specialists, M. K. Murray

Journal of Mathematics and Science: Collaborative Explorations

This paper discusses early algebra as it relates to the Mathematics Specialist program. Early algebra is described based on research and readings from the body of literature focused on early algebra. Reasons why early algebra should be emphasized in elementary school mathematics are discussed, followed by a description of the role elementary school Mathematics Specialists must play if schools are to begin to focus on early algebraic instruction. Finally, some suggestions are made for ways the Mathematics Specialist program might encourage more explicitly an early algebraic approach to elementary school mathematics.

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 …

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

Theses

No abstract provided.

Discussing Vocation As A Part Of A Senior Capstone Class, Maria Zack

ACMS Conference Proceedings 2009

Many of us in Christian higher education are seeking ways to help our students discern their own sense of call. At the 2007 ACMS meeting Greg Crow and I participated in a panel on vocation and published a related paper in the Journal of the ACMS. This current paper discusses what has been learned from incorporating some of our ideas into our department's senior capstone course. This has been very meaningful for both the students and the faculty involved.

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.

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.

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 …

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.

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 …

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?