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Articles 1 - 28 of 28
Full-Text Articles in Education
Change Bell Ringing And Mathematics: A High School Student Excursion Into Graph Theory And Group Theory, Kristi Carlson
Change Bell Ringing And Mathematics: A High School Student Excursion Into Graph Theory And Group Theory, Kristi Carlson
Honors Theses
This unit was created as a way to introduce higher level mathematics concepts to advanced high school students. All five of the National Council of Teachers of Mathematics Process Standards are found in this unit. For most of the unit, students work within small groups
On Sequential And Fixed Designs For Estimation With Comparisons And Applications, Mekki Terbeche, Broderick O. Oluyede, Ahmed Barbour
On Sequential And Fixed Designs For Estimation With Comparisons And Applications, Mekki Terbeche, Broderick O. Oluyede, Ahmed Barbour
Department of Mathematical Sciences Faculty Publications
A fully sequential approach to the estimation of the difference of two population means for distributions belonging to the exponential family of distributions is adopted and compared with the best fixed design. Results on the lower bound for the Bayes risk due to estimation and expected cost are presented and shown to be of first order efficiency. Applications involving the Poisson and exponential distributions with gamma priors as well as the Bernoulli distribution with beta priors are given. Finally, some numerical results are presented.
Looking Beyond The Curriculum In Jamaica, Jon T. Jacobsen, Michael E. Orrison Jr.
Looking Beyond The Curriculum In Jamaica, Jon T. Jacobsen, Michael E. Orrison Jr.
All HMC Faculty Publications and Research
In August 2004, we had the opportunity to travel to Jamaica to lead a pilot workshop for Jamaican high school math teachers. The workshop focused on the importance of mathematical context in the teaching of mathematics. It was sponsored by the Gibraltar Institute, a Jamaica-based nongovernmental organization led by Trevor Campbell (Pomona College) and Reginald Nugent (Cal State Pomona), Jamaica’s College of Agriculture, Science and Education, and Harvey Mudd College.
Vertices Of Self-Similar Tiles, Da-Wen Deng, Sze-Man Ngai
Vertices Of Self-Similar Tiles, Da-Wen Deng, Sze-Man Ngai
Department of Mathematical Sciences Faculty Publications
The set Vn of n-vertices of a tile T in \Rd is the common intersection of T with at least n of its neighbors in a tiling determined by T. Motivated by the recent interest in the topological structure as well as the associated canonical number systems of self-similar tiles, we study the structure of Vn for general and strictly self-similar tiles. We show that if T is a general self-similar tile in \R2 whose interior consists of finitely many components, then any tile in any self-similar tiling generated by T has a finite …
Blaise Pascal - Mathematician, Mystic, Disciple, Tim Rogalsky
Blaise Pascal - Mathematician, Mystic, Disciple, Tim Rogalsky
ACMS Conference Proceedings 2005
This is the story of a multi-faceted Christian mathematician. Instrumental in the development of calculus, probability theory, and computing machines, Pascal (1623-1662) was a man equally enamoured with mind and spirit. His conversion experience was marked by both rational decision and mystical vision. He is perhaps best known for "Pascal's wager," which simplistic "fire insurance" version of Christianity, demanding little from the convert. However, a more careful reading of his work and his life reveals that Pascal knew much about discipleship and its cost.
The Five Orders Of Ignorance: Knowledge, Ignorance, And The Nature Of Software, Phillip Armour
The Five Orders Of Ignorance: Knowledge, Ignorance, And The Nature Of Software, Phillip Armour
ACMS Conference Proceedings 2005
Software is not a product, it is a medium in which we store knowledge. As simple as this idea seems, the consequences of it are quite significant. If software is not a product, then software development is not a product of production activity, despite the common practice of managing it as such. Most organizations believe that job of software developers is to build a system that we then ship to a customer. It is not. The system we build and ship to the customer is actually the by-product of the real activity which is learning. Software development is the activity …
Does The Success Of Mathematics Defeat Naturalism?, Russell W. Howell
Does The Success Of Mathematics Defeat Naturalism?, Russell W. Howell
ACMS Conference Proceedings 2005
This paper discusses the arguments for and against Intelligent Design from the perspectives of mathematics.
Mathematics As Poesis: A Preliminary Project Report, Sam Stueckle, Jeremy Case, Ken Constantine, Troy Riggs
Mathematics As Poesis: A Preliminary Project Report, Sam Stueckle, Jeremy Case, Ken Constantine, Troy Riggs
ACMS Conference Proceedings 2005
This paper talks about the various viewpoints of mathematics, beginning with classical perspectives and ending with the idea of poesis, or the theology of math as the art of making.
Jesus, Plato, Math And Theology: What Is Truth?, Paul Moffett
Jesus, Plato, Math And Theology: What Is Truth?, Paul Moffett
ACMS Conference Proceedings 2005
Mathematical ontology is relevant to Christians because so much of Christian theology has been historically shaped by Platonic mathematics and the ontology that goes with it. The various contributors to Mathematics in a Postmodern Age, edited by Howell and Bradley, seem to assume that Christians are necessarily realists in ontology, and they are not alone. But what is the cause of this Christian connection with mathematical realism in ontology? How much has our idea of God been shaped by Plato and his mathematics?
The Artificial Gravity Pitch, Andrew Simoson
The Artificial Gravity Pitch, Andrew Simoson
ACMS Conference Proceedings 2005
Toss a ball into the air; we analyze and contrast the resultant trajectories when standing both on the Little Prince’s Asteroid B-612 of 1943 and in Arthur C. Clark’s rotating space ship Discovery of 2001.
Integrating Catholic And Marianist Historical Perspectives In A Mathematics Coruse For Elementary Education Majors, Mary Wagner-Krankel
Integrating Catholic And Marianist Historical Perspectives In A Mathematics Coruse For Elementary Education Majors, Mary Wagner-Krankel
ACMS Conference Proceedings 2005
St. Mary's University in San Antonio recently reaffirmed their distinctive nature as a Catholic university promoting the Marianist tradition. This new affirmation is in response to the smaller number of Marianists serving in teaching and administrative positions on campus. Faculty have been encouraged to explore new ways to integrate Catholic and Marianist values and historical perspectives in their teaching and research. I will discuss some major Catholic mathematicians and some classroom activities that I developed for the course MT3304- Mathematics for the Elementary Teacher.
The Divine Challenge: On Matter, Mind, Math And Meaning, By John Byl, Russell W. Howell
The Divine Challenge: On Matter, Mind, Math And Meaning, By John Byl, Russell W. Howell
ACMS Conference Proceedings 2005
A book review of The Divine Challenge: On Matter, Mind, Math and Meaning (2004, Banner of Truth Trust) by John Byl.
Integration Of Faith, Learning, And Christian Vocation With First-Year Mathematics Majors, Doug Phillippy, Angela Hare
Integration Of Faith, Learning, And Christian Vocation With First-Year Mathematics Majors, Doug Phillippy, Angela Hare
ACMS Conference Proceedings 2005
The mission of Messiah College is "to educate men and women toward maturity of intellect, character, and Christian faith, in preparation for lives of service, leadership and reconciliation in church and society". Therefore, as faculty in the Mathematical Sciences Department at this college, how we build maturity in our students, not only a mature mathematical intellect, but also maturity of character and Christian faith, reflects our commitment to the mission of the College. Further, our departmental mission statement includes the objective "to challenge students to live out their faith in their vocation as they become servant leaders in society, church, …
James Clerk Maxwell And Why Read Biographies, Sean Bird
James Clerk Maxwell And Why Read Biographies, Sean Bird
ACMS Conference Proceedings 2005
Why do we read about the lives of others? This paper discusses the value of reading biographies and examines the life of physicist-mathematician James Clerk Maxwell.
Writing Math Lessons That Integrate Christian Beliefs: The Kuyers Institute Grant Project, Dave Klanderman, Gary Talsma
Writing Math Lessons That Integrate Christian Beliefs: The Kuyers Institute Grant Project, Dave Klanderman, Gary Talsma
ACMS Conference Proceedings 2005
In this paper, we describe multiple math lessons designed to incorporate a Christian perspective. A total of nine lessons, some with materials for multiple class sessions, will soon be published by the Kuyers Institute. These lessons are appropriate for use at the middle school and high school level.
Explicit Null Space Of Discrete Laplacian, Hanna Vanderzee
Explicit Null Space Of Discrete Laplacian, Hanna Vanderzee
ACMS Conference Proceedings 2005
For a given partial differential equation, such as Poisson’s equation in two dimensions, stipulating the null-space component of the solution is sometimes a useful alternative to specifying boundary conditions in order to determine a unique solution. To implement this approach computationally, we need a sparse and well-conditioned representation of the null space of the relevant differential operator. We discuss how the null-space method works and present an explicit formula for generating a sparse null basis for a uniform, finite-difference discretization of Laplacian operator on the unit square. The formula makes use of a triangular array which has the large Schroeder …
Artificial Intelligence: Can We Create Machines In Our Own Image?, Derek C. Shuurman
Artificial Intelligence: Can We Create Machines In Our Own Image?, Derek C. Shuurman
ACMS Conference Proceedings 2005
The field of Artificial Intelligence (AI) leads to many questions about what it means to be human. Some researchers claim that inevitably computers will reach a certain threshold of complexity that will enable them to “think” and artificial consciousness will emerge. This speculation, taken a step further, leads some to believe that computer technology will eventually set humans free from the frailty of their bodies and enable them to achieve immortality. Underlying these claims is a reductionistic philosophy about what it means to be human and how one approaches the mind-body problem. Ever since the fall people have wanted to …
A Christian Constructivist? The Impact Of Worldview On Learning Theories And The Mathematics Education Research Community, Jeffrey Barrett, Dave Klanderman
A Christian Constructivist? The Impact Of Worldview On Learning Theories And The Mathematics Education Research Community, Jeffrey Barrett, Dave Klanderman
ACMS Conference Proceedings 2005
This paper analyzes the role of worldview and its impact on learning theories within the mathematics education research community. The authors propose a scholarly agenda for engaging this issue in future research projects.
Asserting Cs != Can't Spcialize, Building Community In A Computer Science Program, Kim Kihlstrom
Asserting Cs != Can't Spcialize, Building Community In A Computer Science Program, Kim Kihlstrom
ACMS Conference Proceedings 2005
As humans, we are designed to live in community. "Just as each of us has one body with many members, and these members do not all have the same function, so in Christ we who are many form one body, and each member belongs to all the others" (Romans 12:4-5). We believe it is of critical importance to build community within a computer science program, first of all because it is part of God's calling for us. In addition, building communit allows us to equip students with the interpersonal skills that they need for a productive career, and to attract …
Filtering The Bible And Filtering Spam, Gene B. Chase
Filtering The Bible And Filtering Spam, Gene B. Chase
ACMS Conference Proceedings 2005
I argue that John Craig (1996?–1731) is the first to do Bayesian statistics. Filtering email spam today using Bayes's analysis of 1763 is a new application of an old theorem. Craig 67 years before Bayes's theorem used subjective probabilities reasoning to argue that Jesus would return in the year 3150, because the Bible would eventually come into disrepute (become spam?) then.
Bibliography Of Christianity And Mathematics, Gene B. Chase
Bibliography Of Christianity And Mathematics, Gene B. Chase
ACMS Conference Proceedings 2005
The invited address provides historiographic background for the second edition of Bibliography of Christianity and Mathematics. The second edition builds on the first edition written jointly with Calvin Jongsma, on the historiographic work of Ivor Grattan-Guiness, and on the computer skills of Gregory Ross.
Schedule (2005), Association Of Christians In The Mathematical Sciences
Schedule (2005), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2005
Fifteenth Conference of the Association of Christians in the Mathematical Sciences
Self-Similar Measures Associated To {Ifs} With Non-Uniform Contraction Ratios, Sze-Man Ngai, Yang Wang
Self-Similar Measures Associated To {Ifs} With Non-Uniform Contraction Ratios, Sze-Man Ngai, Yang Wang
Department of Mathematical Sciences Faculty Publications
In this paper we study the absolute continuity of self-similar measures defined by iterated function systems (IFS) whose contraction ratios are not uniform. We introduce a transversality condition for a multi-parameter family of IFS and study the absolute continuity of the corresponding self-similar measures. Our study is a natural extension of the study of Bernoulli convolutions by Solomyak, Peres, et al.
Table Of Contents (2005), Association Of Christians In The Mathematical Sciences
Table Of Contents (2005), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2005
Fifteenth Conference of the Association of Christians in the Mathematical Sciences
Introduction (2005), Association Of Christians In The Mathematical Sciences
Introduction (2005), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2005
Fifteenth Conference of the Association of Christians in the Mathematical Sciences
Disko Solution In Braille, Jeremiah Farrell
Disko Solution In Braille, Jeremiah Farrell
Scholarship and Professional Work - LAS
A copy of a 4x4 DISKO solution in Braille. Constructed by students at the Indiana School for the Blind on magnetized squares on a "toasted", i.e. raised grid.
Gender Differences In Reading And Math Scores On The Pennsylvania System Of School Assessment Grade Five And Grade Eight Tests, Steven J. Rush
Gender Differences In Reading And Math Scores On The Pennsylvania System Of School Assessment Grade Five And Grade Eight Tests, Steven J. Rush
Seton Hall University Dissertations and Theses (ETDs)
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The Use And Influence Of Technology In Mathematics Education, Ma. Louise Antonette N. De Las Peñas, Wei-Chi Yang
The Use And Influence Of Technology In Mathematics Education, Ma. Louise Antonette N. De Las Peñas, Wei-Chi Yang
Mathematics Faculty Publications
The use of various types of technologies in the classroom and examinations is growing rapidly and is strongly influencing teaching and learning practices. In this paper, we will look at particular situations on how various technologies such as numerically capable calculators, graphics calculators, and technological tools that are CAS enabled or have CAS with Dynamic Geometry, impact students' learning. We also discuss briefly the educational opportunities that are made available by the emergence of graphics calculators with capabilities of handling electronic learning activities, such as Casio’s Class Pad (see [1]) and Casio’s 9860 graphics calculator.