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2013

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Full-Text Articles in Science and Mathematics Education

Al-Khwārizmī: Founder Of Classical Algebra, Calvin Jongsma Jun 2013

Al-Khwārizmī: Founder Of Classical Algebra, Calvin Jongsma

ACMS Conference Proceedings 2013

Adopting a historically defensible definition of “algebra,” we will begin by exploring a few examples of algebra prior toal-Khwarizmi. We will then examine what algebra became through al-Khwarizmi’s work. In conclusion, we will assess thehistorical importance of al-Khwarizmi’s contributions for developments in European algebra.


Philosophy Of “Spinning Wheels”, Loredana Ciurariu Jun 2013

Philosophy Of “Spinning Wheels”, Loredana Ciurariu

ACMS Conference Proceedings 2013

In this material I will speak about some well-known mechanisms studied by students and engineers emphasizing the impact which “spinning wheels” had and have in development of the society, on Christians and the church. Also the discovery of the machineries determines major changes in the people’s outlook and leads to new trends in philosophy and Christianity. Then, I will give some examples from the Bible where “spinning wheels” it seems to appear: Judges 16:21, Ezekiel 1 and Revelation. It is also interesting to see 2 Kings 2:9-12, 2 Kings 6:13-18 and maybe Daniel 7:9.

In addition, an avi file where …


Mapping Biblical Commandments To An Iterated Prisoner’S Dilemma Framework, Nathan Gossett, Adam Johnson Jun 2013

Mapping Biblical Commandments To An Iterated Prisoner’S Dilemma Framework, Nathan Gossett, Adam Johnson

ACMS Conference Proceedings 2013

In his writings on Game Theory, an d the Iterated Prisoner’s Dilemma in particular, Robert Axelrod outlined four properties that are predictors of a successful strategy: Niceness, Reciprocity, Forgiveness, and Understandability. On the topic of Reciprocity, Axelrod makes the claim that not only does The Golden Rule lead to a suboptimal strategy, but that one of the most successful strategies (Tit for Tat) shows that a command of “An eye for an eye” leads to a much more optimal strategy. In this paper, we will discuss the details of Axelrod’s four properties, outline Biblical support for all four, and discuss …


An Investigation Of Hi Ho! Cherry-O Using Markov Chains, Nicholas C. Zoller Jun 2013

An Investigation Of Hi Ho! Cherry-O Using Markov Chains, Nicholas C. Zoller

ACMS Conference Proceedings 2013

In the children’s board game Hi Ho! Cherry-O, players attempt to move 10 cherries from their trees to a bucket in the center of the game board. A spinner determines whether a turn includes moving cherries from tree to bucket or bucket to tree. The winner of the game is the first player to move all of her cherries from her tree to the bucket. We model the gameplay using a Markov chain and calculate the expected number of turns needed to complete one game. Then we investigate what happens when the rules are changed. We discover that rules …


Expanding Jonathan Edwards’ Typology Program: The Bell Curve As A Type Of Christ, Jason Wilson Jun 2013

Expanding Jonathan Edwards’ Typology Program: The Bell Curve As A Type Of Christ, Jason Wilson

ACMS Conference Proceedings 2013

Over two hundred years after his death, an unfinished notebook of Jonathan Edwards’ was published for the first time in1993. Edwards was a father of the Evangelical movement, but because his work on typology was not published until recently, it has received almost no attention. In his notebook, Edwards makes an explicit argument for extending biblical typology to nature in a biblically grounded manner. This study is an attempt to extend that research program into mathematics/statistics.We will consider the following proposition, “The normal distribution (the graph of which is the bell curve) is a biblical type of Christ.” The basic …


Perspectives On Chaos: Reflections Of A Mathematical Physicist, Kyle Spyksma Jun 2013

Perspectives On Chaos: Reflections Of A Mathematical Physicist, Kyle Spyksma

ACMS Conference Proceedings 2013

Chaos Theory, the mathematical media darling of the ’90s, has become less of a societal fad and research interest over the past couple of decades. However, from a mathematical physicists’ perspective, issues surrounding Chaos Theory can be valuable aides in forming views on how mathematics, science and reality relate. In this talk, I will briefly explore how Chaos Theory can shape views of these relationships, with a focus on the language we use and (perhaps unintentionally) abuse when doing science and mathematics.


The Structures Of The Actual World, Walter J. Schultz, Lisanne D’ Andrea Winslow Jun 2013

The Structures Of The Actual World, Walter J. Schultz, Lisanne D’ Andrea Winslow

ACMS Conference Proceedings 2013

Scripture teaches that God has a plan for the universe. In this paper we argue that in order for it to function as a plan, it must have a temporal structure, a representational structure, and a proto-causal structure. This paper presents a formal model of the these three structures. As it turns out, the structures of God’s plan are best understood as the structures of a musical composition. We, then very briefly describe its implications. The first is that this model (based ultimately in the doctrine of God) grounds a metaphysics of science. Second, it grounds a structuralist philosophy of …


Introduction (2013), Eric Gossett May 2013

Introduction (2013), Eric Gossett

ACMS Conference Proceedings 2013

Nineteenth Conference of the Association of Christians in the Mathematical Sciences


Paper Abstracts (2013), Association Of Christians In The Mathematical Sciences May 2013

Paper Abstracts (2013), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2013

Nineteenth Conference of the Association of Christians in the Mathematical Sciences


Table Of Contents (2013), Association Of Christians In The Mathematical Sciences May 2013

Table Of Contents (2013), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2013

Nineteenth Conference of the Association of Christians in the Mathematical Sciences


Schedule (2013), Association Of Christians In The Mathematical Sciences May 2013

Schedule (2013), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2013

Nineteenth Conference of the Association of Christians in the Mathematical Sciences


19th Conference Of The Associations Of Christians In The Mathematical Sciences, Association Of Christians In The Mathematical Sciences May 2013

19th Conference Of The Associations Of Christians In The Mathematical Sciences, Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2013

Association of Christians in the Mathematical Sciences 19th Biennial Conference Proceedings, May 29 - June 1, 2011, Bethel University.


Manhattan Monarch, Melinda Chan May 2013

Manhattan Monarch, Melinda Chan

Graduate Student Independent Studies

Manhattan Monarch is an original children's book intended for early childhood students ages four years and up. It is the story of a Monarch butterfly floating high above the cityscape who invites the reader on an adventure through Manhattan. Includes colorful photographs that capture the butterfly's migration all the way from Manhattan to Mexico.


Interview Of Thomas J. Wurtenberger, Thomas J. Wurtenberger, Charles D. Muzyczek Apr 2013

Interview Of Thomas J. Wurtenberger, Thomas J. Wurtenberger, Charles D. Muzyczek

All Oral Histories

Thomas J. Wurtenberger was born and raised in the Lower Olney (Feltonville) section of Philadelphia in 1935. He was raised primarily by his mother after the death of his father in 1944. Tom attended North Catholic High School where he took business courses. He did not have aspirations to attend college right out of high school. He was encouraged by a former employer to better himself by going to college and earning a degree. One year after graduation Tom enrolled at La Salle College. He chose La Salle because of its reasonable tuition and proximity to home. Originally Tom desired …


Teaching Algebra Through Functional Programming:An Analysis Of The Bootstrap Curriculum, Robert Lee Mar 2013

Teaching Algebra Through Functional Programming:An Analysis Of The Bootstrap Curriculum, Robert Lee

Theses and Dissertations

Bootstrap is a computer-programming curriculum that teaches students to program video games using Racket, a functional programming language based on algebraic syntax. This study investigated the relationship between learning to program video games from a Bootstrap course and the resulting effect on students' understanding of algebra. Courses in three different schools, lasting about six weeks each, were studied. Control and treatment groups were given a pre and post algebra assessment. A qualitative component consisting of observations and interviews was also used to further triangulate findings. Statistical analysis revealed that students who completed the Bootstrap course gained a significantly better understanding …


Full Steam Ahead – A Collaborative Colloquium, Hilary Dito Mar 2013

Full Steam Ahead – A Collaborative Colloquium, Hilary Dito

The STEAM Journal

On February 2, 2012, Contra Costa County Office of Education organized its 2nd Annual STEAM Colloquium: Full STEAM Ahead. This forum brought together over 150 educators, business leaders and community members to discuss and share best practices in Science, Technology, Engineering, Arts and Mathematics (STEAM) education


Steam With A Capital A: Learning Frenzy, David Rufo Mar 2013

Steam With A Capital A: Learning Frenzy, David Rufo

The STEAM Journal

A student dipped a brush into a bowl of viscous tempera paint and in a few quick strokes formed thick magenta letters on a large display board. Nearby a handful of students were working together to attach string to paper cups and balloons. Across the room a small group of girls were lying on the floor carefully adding multi-colored text to a poster. Two others created characters out of Popsicle sticks for a puppet show...This is how the integration of Science, Technology, Engineering, Arts, & Math (S.T.E.A.M.) happened with the fourth and fifth graders during the first few weeks of …


Keeping Abreast With Liberal Arts And Science Through Steam, Tanya Rivas, Gregory Knotts Mar 2013

Keeping Abreast With Liberal Arts And Science Through Steam, Tanya Rivas, Gregory Knotts

The STEAM Journal

The integrated unit on breast cancer described here includes biological science and visual art standards and was targeted at high school juniors and seniors. The goal was to make a potentially controversial and taboo subject relatable through an art-science approach


Reflections ~ How Stem Becomes Steam, Ruth Catchen Mar 2013

Reflections ~ How Stem Becomes Steam, Ruth Catchen

The STEAM Journal

Reflections from designing a STEAM class for high-risk students.


Merging Science And Art: The Bigger Picture, Natasha Hall Mar 2013

Merging Science And Art: The Bigger Picture, Natasha Hall

The STEAM Journal

It has been stated that artists comprehend and chronicle the completeness of the visible world (Wallach & Bret, 1987), defining Art as the creative expression of knowledge about the visual world. But to what extent does that awareness extend into a scientific appreciation of the world? The acronym STEAM is an abbreviation of Science, Technology, Electronics, Arts and Mathematics. Weaving interactions between Science and Art, have been shown by Clarke and Button (Clarke & Button, 2011), to intensify interconnections between nature, with Landscape, and ultimately with sustainability.


Getting Real About The E In Steam, James Catterall Mar 2013

Getting Real About The E In Steam, James Catterall

The STEAM Journal

STEM and STEAM are in the news. Researchers and educators in my field (cognition, art, and creativity) argue reasons for adding the A to STEM. While I visit this below, my focus is elsewhere. In this brief essay, I want to explore the meaning and importance of the E appearing in both STEM and STEAM. What’s engineering doing in this mix? And what are some reasons for affirming the arts when the role of engineering is clarified?


Session E-1: Hiding In Plain Sight, Micah Fogel Mar 2013

Session E-1: Hiding In Plain Sight, Micah Fogel

Professional Learning Day

Were the plays of William Shakespeare really written by Francis Bacon, who left a coded signature in plain sight? Can spies send messages without using codes and without getting caught? Steganography is the art of hiding messages in plain sight but in a way so that only those in on the secret can find them. We'll learn a few tricks about how to hide messages in pieces of text or sound and image files on a computer.


Teaching The Complex Numbers: What History And Philosophy Of Mathematics Suggest, Emily R. Grosholz Jan 2013

Teaching The Complex Numbers: What History And Philosophy Of Mathematics Suggest, Emily R. Grosholz

Journal of Humanistic Mathematics

The narrative about the nineteenth century favored by many philosophers of mathematics strongly influenced by either logic or algebra, is that geometric intuition led real and complex analysis astray until Cauchy and Kronecker in one sense and Dedekind in another guided mathematicians out of the labyrinth through the arithmetization of analysis. Yet the use of geometry in most cases in nineteenth century mathematics was not misleading and was often key to important developments. Thus the geometrization of complex numbers was essential to their acceptance and to the development of complex analysis; geometry provided the canonical examples that led to the …


Test 2078: John Deere 6125m, Nebraska Tractor Test Lab Jan 2013

Test 2078: John Deere 6125m, Nebraska Tractor Test Lab

Nebraska Tractor Tests

ABOUT THE TEST REPORT AND USE OF THE DATA The test data contained in this report are a tabulation of the results of a series of tests. Due to the restricted format of these pages, only a limited amount of data and not all of the tractor specifications are included. The full OECD report contains usually about 30 pages of data and specifications. The test data were obtained for each tractor under similar conditions and therefore, provide a means of comparison of performance based on a limited set of reported data. EXPLANATION OF THE TEST PROCEDURES Purpose The purpose of …


Nebraska Summary: 913 Challenger Mt525d, Nebraska Tractor Test Lab Jan 2013

Nebraska Summary: 913 Challenger Mt525d, Nebraska Tractor Test Lab

Nebraska Tractor Tests

ABOUT THE TEST REPORT AND USE OF THE DATA The test data contained in this report are a tabulation of the results of a series of tests. Due to the restricted format of these pages, only a limited amount of data and not all of the tractor specifications are included. The full OECD report contains usually about 30 pages of data and specifications. The test data were obtained for each tractor under similar conditions and therefore, provide a means of comparison of performance based on a limited set of reported data. EXPLANATION OF THE TEST PROCEDURES Purpose The purpose of …


Nebraska Summary: S954 New Holland T5.115, Nebraska Tractor Test Lab Jan 2013

Nebraska Summary: S954 New Holland T5.115, Nebraska Tractor Test Lab

Nebraska Tractor Tests

ABOUT THE TEST REPORT AND USE OF THE DATA The test data contained in this report are a tabulation of the results of a series of tests. Due to the restricted format of these pages, only a limited amount of data and not all of the tractor specifications are included. The full OECD report contains usually about 30 pages of data and specifications. The test data were obtained for each tractor under similar conditions and therefore, provide a means of comparison of performance based on a limited set of reported data. EXPLANATION OF THE TEST PROCEDURES Purpose The purpose of …


Nebraska Summary: S953 New Holland T5.105, Nebraska Tractor Test Lab Jan 2013

Nebraska Summary: S953 New Holland T5.105, Nebraska Tractor Test Lab

Nebraska Tractor Tests

ABOUT THE TEST REPORT AND USE OF THE DATA The test data contained in this report are a tabulation of the results of a series of tests. Due to the restricted format of these pages, only a limited amount of data and not all of the tractor specifications are included. The full OECD report contains usually about 30 pages of data and specifications. The test data were obtained for each tractor under similar conditions and therefore, provide a means of comparison of performance based on a limited set of reported data. EXPLANATION OF THE TEST PROCEDURES Purpose The purpose of …


Nebraska Summary: S952 New Holland T5.95, Nebraska Tractor Test Lab Jan 2013

Nebraska Summary: S952 New Holland T5.95, Nebraska Tractor Test Lab

Nebraska Tractor Tests

ABOUT THE TEST REPORT AND USE OF THE DATA The test data contained in this report are a tabulation of the results of a series of tests. Due to the restricted format of these pages, only a limited amount of data and not all of the tractor specifications are included. The full OECD report contains usually about 30 pages of data and specifications. The test data were obtained for each tractor under similar conditions and therefore, provide a means of comparison of performance based on a limited set of reported data. EXPLANATION OF THE TEST PROCEDURES Purpose The purpose of …


Nebraska Summary: S951 Case-Ih Farmall 115u, Nebraska Tractor Test Lab Jan 2013

Nebraska Summary: S951 Case-Ih Farmall 115u, Nebraska Tractor Test Lab

Nebraska Tractor Tests

ABOUT THE TEST REPORT AND USE OF THE DATA The test data contained in this report are a tabulation of the results of a series of tests. Due to the restricted format of these pages, only a limited amount of data and not all of the tractor specifications are included. The full OECD report contains usually about 30 pages of data and specifications. The test data were obtained for each tractor under similar conditions and therefore, provide a means of comparison of performance based on a limited set of reported data. EXPLANATION OF THE TEST PROCEDURES Purpose The purpose of …


Nebraska Summary: S950 Case-Ih Farmall 105u, Nebraska Tractor Test Lab Jan 2013

Nebraska Summary: S950 Case-Ih Farmall 105u, Nebraska Tractor Test Lab

Nebraska Tractor Tests

ABOUT THE TEST REPORT AND USE OF THE DATA The test data contained in this report are a tabulation of the results of a series of tests. Due to the restricted format of these pages, only a limited amount of data and not all of the tractor specifications are included. The full OECD report contains usually about 30 pages of data and specifications. The test data were obtained for each tractor under similar conditions and therefore, provide a means of comparison of performance based on a limited set of reported data. EXPLANATION OF THE TEST PROCEDURES Purpose The purpose of …