Education Commons^™

Automation In Cs1 With The Factoring Problem Generator, Joshua B. Parker

Master's Theses

As the field of computer science continues to grow, the number of students enrolled in related programs will grow as well. Though one-on-one tutoring is one of the more effective means of teaching, computer science instructors will have less and less time to devote to individual students. To address this growing concern, many tools that automate parts of an instructor’s job have been proposed. These tools can assist instructors in presenting concepts and grading student work, and they can help students learn to program more effectively. A growing group of intelligent tutoring systems attempts to tie all of this functionality …

Educational Data Mining Approaches For Digital Libraries, Mimi Recker, Sherry Hsi, Beijie Xu, Rob Rothfarb

Instructional Technology and Learning Sciences Faculty Publications

This collaborative research project between the Exploratorium and Utah State's Department of Instructional Technology and Learning Sciences investigates online evaluation approaches and the application of educational data mining to educational digital libraries and services. Much work over the past decades has focused on developing algorithms and methods for discovering patterns in large datasets, known as Knowledge Discovery from Data (KDD). Webmetrics, the application of KDD to web usage mining, is growing rapidly in areas such as e-commerce. Educational Data Mining (EDM) is just beginning to emerge as a tool to analyze the massive, longitudinal user data that are captured in …

Student Staff: A Village Philosophy, Lisa Caughron

Lisa Caughron

No abstract provided.

Artificial Intelligence – I: Subjective Decision Making Using Type-2 Fuzzy Logic Advisor, Owais Malik

International Conference on Information and Communication Technologies

In this paper, we present and compare two-stage type-2 fuzzy logic advisor (FLA) for subjective decision making in the domain of students' performance evaluation. We test our proposed model for evaluating students' performance in our computer science and engineering department at HBCC/KFUPM in two domains namely cooperating training and capstone/senior project assessment where we find these FLAs very useful and promising. In our proposed model, the assessment criteria for different components of cooperative training and senior project are transformed into linguistic labels and evaluation information is extracted into the form of IF-THEN rules from the experts. These rules are modeled …

Essential Spreadsheet Modeling Course For Business Students, Thin Yin Leong, Michelle L. F. Cheong

Research Collection School Of Computing and Information Systems

Ask any student at the Singapore Management University (SMU) to name one of the most practical and useful courses offered by the university. The answer would inevitably include CAT. CAT stands for the "Computer as an Analysis Tool" course. Originally based on a course of the same title offered by the Wharton Business School, the focus of CAT was shifted to provide business students the essential practical skills and necessary "real-world" exposure to better use personal computers for resolving business problems. The course is basically centered on using the Excel spreadsheet to work on ambiguous ill-defined problems.

Validation Of The Principal’S Computer Technology Survey, Lantry Brockmeier, Nicole Gibson

Georgia Educational Researcher

The purpose of this study was to provide a more in-depth analysis of the psychometric characteristics of the Principal’s Computer Technology Survey (PCTS). The PCTS developmental process yielded a 40–item survey with groups of items comprising five subscales (i.e., curriculum integration, perceptions, acquired expertise, needs assessment, and professional development). Principals’ responses to items within the five subscales was measured on a five-point Likert scale ranging from 1 (strongly disagree) to 5 (strongly agree). An expert panel reviewed the instrument plus exploratory factor analyses and confirmatory factor analyses were conducted. This analysis resulted in a restructured instrument …

Freedom Of Choice As A Motivational Factor In Active Learning, Atanas Radenski

Mathematics, Physics, and Computer Science Faculty Articles and Research

Freedom to choose what, when, and how to contribute in a learning process can motivate students to actively engage and achieve more in their studies. However, freedom of choice complicates course management and may deter instructors from allowing such freedom. Our approach is to utilize existing functionality of course management systems such as Moodle to automatically facilitate and coordinate free student choices and provide much needed relief for instructors at the same time. Using Moodle we have developed novel digital study packs that blend freedom of choice with guidance and control. Our survey shows that assisted freedom of choice is …

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

Android Based Mobile Computing, Collaborative Project

Dyson College- Seidenberg School of CSIS : Collaborative Projects and Presentations

This entry adheres to the use of the quad chart template to provide a succinct description only of the current research project undertaken by the participants. It provides for the following information

1. Participants and Affiliations
2. Overall Project Goals
3. Illustrative picture
4. Specific research/artistic/pedagogic foci

The Relationship Between Assistive Technology State Standards For Teachers, Assistive Technology Implementation, And Student Performance In The Context Of Evidence-Based Practice, Elizabeth M. Dalton

Master's Theses, Dissertations, Graduate Research and Major Papers Overview

Identifies, through a national survey, states' formally-adopted assistive technology standards for teachers, the evidence on which these standards were based, and the extent of state support for the implementation of these standards by teachers. Applies descriptive analysis to the data collected for these three areas of study and compares the results with national performance measures for students with disabilities via regression analysis.

Gis Hub For Pace Community Service, Collaborative Project

Dyson College- Seidenberg School of CSIS : Collaborative Projects and Presentations

This entry adheres to the use of the quad chart template to provide a succinct description only of the current research project undertaken by the participants. It provides for the folowing information

1. Participants and Affiliations
2. Overall Project Goals
3. Illustrative picture
4. Specific research/artistic/pedagogic foci