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Articles 31 - 60 of 339
Full-Text Articles in Science and Mathematics Education
The Topology Of Harry Potter: Exploring Higher Dimensions In Young Adult Fantasy Literature, Sarah Klanderman, Alexa Schut, Dave Klanderman, William Boerman-Cornell
The Topology Of Harry Potter: Exploring Higher Dimensions In Young Adult Fantasy Literature, Sarah Klanderman, Alexa Schut, Dave Klanderman, William Boerman-Cornell
ACMS Conference Proceedings 2017
As one of the most beloved series in children’s literature today, the Harry Potter books excite students of all ages with the adventures of living in a magical world. Magical objects (e.g., bottom-less handbags, the Knight Bus, time turners, and moving portraits) can inspire generalizations to mathematical concepts that would be relevant in an undergraduate geometry or topology course. Intuitive explanations for some of the magical objects connect to abstract mathematical ideas. We
offer a typology with a total of five categories, including Three Dimensions in Two Dimensions, Higher Dimensions in Three Dimensions, Two and Three Dimensional Movement, Higher Dimensional …
Ten Mathematicians Who Recognized God's Hand In Their Work (Part 2), Dale Mcintyre
Ten Mathematicians Who Recognized God's Hand In Their Work (Part 2), Dale Mcintyre
ACMS Conference Proceedings 2017
Scottish philosopher David Hume (1711-1776) once observed that "Whoever is moved by faith to assent to [the Christian religion], is conscious of a continued miracle in his own person, which subverts all the principles of his understanding, and gives him a determination to believe what is most contrary to custom and experience." Evidently Hume's cynical pronouncement did not apply to Descartes, Newton, Riemann, and other profound thinkers who believed God had commissioned and equipped them to glorify Him in their pursuit of truth through mathematics - And based on their extraordinary achievements the principles of their understanding do not appear …
The Set Of Zero Divisors Of A Factor Ring, Jesús Jiménez
The Set Of Zero Divisors Of A Factor Ring, Jesús Jiménez
ACMS Conference Proceedings 2017
Let A be a ring and a an ideal of A. In this paper we show how to construct factor rings A/ a and a finite set of ideals a1, a2, ... , ak, of A/a, such that: each ideal aj is contained in the set of zero divisors of A/a, the factor ring A/a is a direct sum of these ideals, and each ideal aj is a ring with unity when endowed with addition and multiplication modulo a. Explicit examples are given when A is the ring of integers, Gaussian integers or the ring of polynomials over a field.
The Daily Question: Building Student Trust And Interest In Undergraduate Introductory Probability And Statistics Courses, Matthew A. Hawks
The Daily Question: Building Student Trust And Interest In Undergraduate Introductory Probability And Statistics Courses, Matthew A. Hawks
ACMS Conference Proceedings 2017
Introducing probability or statistics to disinterested undergraduate students is challenging. Adding faith in such a classroom at a secular institution only increases the complexity. We share an unobtrusive way to build trust with students, creating a medium to both naturally share your faith and have your students look forward to attending each class. The context is the United States Naval Academy, a four-year undergraduate institution with an emphasis on leader development. In addition to a calculus sequence, Humanities majors enroll in Probability with Naval Applications or Introductory Statistics. These sophomores or juniors are split between those who have no intention …
Finding Meaning In Calculus (And Life), Doug Phillippy
Finding Meaning In Calculus (And Life), Doug Phillippy
ACMS Conference Proceedings 2017
A 2015 publication of the Mathematical Association of America (Insights and Recommendations from the MAA National Study of College Calculus) noted that "students taking college calculus exhibited a reduction in positive attitude toward mathematics, which can affect their career aspira
Axioms: Mathematical And Spiritual: What Says The Parable?, Melvin Royer
Axioms: Mathematical And Spiritual: What Says The Parable?, Melvin Royer
ACMS Conference Proceedings 2017
Relational structure A is compact provided for any structure Jffi of the same signature, if every finite substructure of Jffi has a homomorphism to A then so does Jffi. The Constraint Satisfaction Problem (CSP) for A is the computational problem of determining whether finite structures have homomorphisms into A. We explore a connection between the hierarchy of logical axioms and the complexity hierarchy of CSPs: It appears that the complexity of CSP for A corresponds to the strength of the axiom "A is compact". At the top, the statement "K3 is compacts" is logically equivalent to the compactness theorem. Thus …
Cultivating Mathematical Affections Through Engagement In Service-Learning, Josh Wilkerson
Cultivating Mathematical Affections Through Engagement In Service-Learning, Josh Wilkerson
ACMS Conference Proceedings 2017
Why should students value mathematics? While extensive research exists on developing the cognitive ability of students, very little research has examined how to cultivate the affections of students for mathematics. The phrase "mathematical affections" is a play on the affective domain of learning as well as on the general notion of care towards something. Mathematical affections are more than a respect for the utility of the subject; the term is much broader and includes aesthetic features as well as habits of mind and attitude. This paper will analyze the findings from a research project exploring the impact of service
Blended Courses Across The Curriculum: What Works And What Does Not, Ryan Botts, Lori Carter, Catherine Crockett
Blended Courses Across The Curriculum: What Works And What Does Not, Ryan Botts, Lori Carter, Catherine Crockett
ACMS Conference Proceedings 2017
Recent hype around online and blended courses touts the benefits of immediate student feedback, flexible pace, adaptive learning, and better utility of classroom space. Here we aim to summarize the results of a 3-year pilot study using blended courses across the quantitative science curriculum (Mathematics, Statistics and Computer Science), in both upper and lower division, major and GE courses. We present findings on student attitudes towards this format, most helpful course components, time on task, progress on learning outcomes and faculty perspectives. This summary can be used to inform best practices in hybrid design, implementation and faculty expectations in the …
A Pre-Calculus Controversy: Infinitesimals And Why They Matter, Karl-Dieter Crisman
A Pre-Calculus Controversy: Infinitesimals And Why They Matter, Karl-Dieter Crisman
ACMS Conference Proceedings 2017
In teaching calculus, it is not uncommon to mention the controversy over the role of infinitesimals with Newton's and Leibniz' calculus, including Berkeley's objections. In a history of mathematics course, it is a required topic! But rancor over infinitesimals and their role in mathematics predates calculus- so much so that a popular new book is dedicated to this topic. In this talk, I will discuss not just the relevant controversies between Cavalieri and the Je
Start A Math Teacher Circle: Connect K-12 Teachers With Engaging, Approachable, And Meaningful Mahtematical Problems, Thomas Clark, Mike Janssen, Amanda Harsy, Dave Klanderman, Mandi Maxwell, Sharon Robbert
Start A Math Teacher Circle: Connect K-12 Teachers With Engaging, Approachable, And Meaningful Mahtematical Problems, Thomas Clark, Mike Janssen, Amanda Harsy, Dave Klanderman, Mandi Maxwell, Sharon Robbert
ACMS Conference Proceedings 2017
Many K-12 math teachers are not ready to teach from a conceptual and inquiry-oriented per
Reading Journals: Preview Assignments That Promote Student Engagement, Productive Struggle, And Ultimate Success In Undergraduate Mathematics Courses, Sarah Nelson
ACMS Conference Proceedings 2017
We spend lots of time searching for the best textbook for students. We want our students to have a reliable and useful resource to reference, as needed. We even ask them to read over certain material before classes. Often, however, we fail to guide our students in how to read the text productively. Incorporating reading journals into your classes is an excellent way to simultaneously develop your students' ability to read mathematical text and capitalize on what the students already have to offer. In this presentation, we will look at how reading journals motivate students in a variety of mathematics …
Mentoring As A Statistical Educator In A Christian College, L. Marlin Eby
Mentoring As A Statistical Educator In A Christian College, L. Marlin Eby
ACMS Conference Proceedings 2017
In this paper, I present principles based on more than thirty years of intentional mentoring as a statistical educator in a Christian college. I believe this mentoring has been enhanced due to the setting- a Christian college, and the discipline - statistics. I discuss distinctives of the Christian college setting that positively impact mentoring in any discipline with respect to the mentor, the mentee, and the pervading campus atmosphere. I focus on mentoring as a statistical educator by specifically considering the following: attracting students to the discipline of statistics, preparing students for careers using statistics, and preparing students for graduate …
Developing The Underutilized Mathematical Strengths Of Students, Patrick Eggleton
Developing The Underutilized Mathematical Strengths Of Students, Patrick Eggleton
ACMS Conference Proceedings 2017
This session is intended for presenting the findings from a Spring 2017 research study conducted at Taylor University regarding influences that contribute to a student's disposition toward mathematics. In the foundation level mathematics course taught for non-majors at Taylor, students are asked to share a reflection on their past mathematical experiences. Analysis of these reflections shows general themes regarding the influences, both good and bad, that have contributed to how these students approach mathematics. We would like to use this information as well as related studies to help instructors of mathematics develop positive dispositions toward mathematics in their students.
Introduction (2017), Association Of Christians In The Mathematical Sciences
Introduction (2017), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2017
No abstract provided.
Paper Abstracts (2017), Association Of Christians In The Mathematical Sciences
Paper Abstracts (2017), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2017
No abstract provided.
Table Of Contents (2017), Association Of Christians In The Mathematical Sciences
Table Of Contents (2017), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2017
No abstract provided.
Association Of Christians In The Mathematical Sciences Proceedings 2017, Association Of Christians In The Mathematical Sciences
Association Of Christians In The Mathematical Sciences Proceedings 2017, Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2017
The conference proceedings of the Association of Christians in the Mathematical Sciences biannual conference, May 31-June 2, 2017 at Charleson Southern University.
Conference Schedule (2017), Association Of Christians In The Mathematical Sciences
Conference Schedule (2017), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2017
No abstract provided.
God: One, Daniel Kiteck
God: One, Daniel Kiteck
ACMS Conference Proceedings 2015
I see the most mathematically significant verse as Deut. 6:4 where God says He is ONE. (And I don’t believe that it is an accident that the greatest commandment to love God with all we are immediately follows.) What is the concept of “one” in relationship to God? Is God dependent on the concept of “one?” What if “one” is ultimately always a comparison going back to God? God is also commonly viewed as infinite. How is this connected to our understanding of the mathematical continuum? Could this help us see how God is foundational both to discrete and continuous …
Software Engineering I: Teaching Challenges, Paul C. Grabow
Software Engineering I: Teaching Challenges, Paul C. Grabow
ACMS Conference Proceedings 2015
The term software engineering can be traced to the late 1960s in response to large-scale, software development problems. Since then it has evolved as a discipline, both within industry and the academy. There have been distinct educational successes: “Standard practice” has matured (and found its way into more textbooks),the ACM and IEEE Computer Society have published curriculum guidelines, computer science programs commonly offer at least one software engineering course, and software engineering degrees (undergraduate or graduate) are more common. However, software engineering still presents a challenge. The term itself has become contorted by companies (and society in general); software has …
Designing For Mistrust, Eric Gossett
Designing For Mistrust, Eric Gossett
ACMS Conference Proceedings 2015
The 2014 ACM North Central Region programming contest contained a problem about a group of v bandits who want to use multiple locks to seal their treasure and distribute keys in such a way that no group of less than m bandits can open all the locks. The problem asks for an algorithm that will determine the number of locks needed for any set of parameters (v, m). I will present an analytic solution that produces a minimum number of locks, a recurrence relation solution, and a constructive algorithm that can print out a table showing the …
Parables To A Mathematician, Melvin Royer
Parables To A Mathematician, Melvin Royer
ACMS Conference Proceedings 2015
Jesus frequently used parables in His ministry, usually short narratives illustrating the outcomes of people’s choices. In John 3:12 and Matthew 13:10-15, He explained that one reason was to be sure that people who genuinely wanted to understand His message would be able to do so. Since most of His audience was familiar with an agrarian economy, Jesus spoke extensively of wheat, fish, trees, wine, debt, tenants, lamps, etc. Many people have speculated on parables Jesus might have used had He lived in a different society. This non-scholarly (but hopefully thought-provoking) talk will propose parables targeted toward groups of mathematicians …
Physical Activity In A Theory Of Computing Class, Nancy Lynn Tinkham
Physical Activity In A Theory Of Computing Class, Nancy Lynn Tinkham
ACMS Conference Proceedings 2015
Physical activity breaks, sometimes called brain breaks, are beginning to gain attention among K-12 teachers as a way to keep their students alert and engaged in the classroom. In the Fall 2014 semester, faced with the task of teaching an introductory course in Theory of Computing in a once-a-week, 2 1/2-hour format, I decided to try incorporating physical activity into my own classroom. Time is precious in the college classroom, so any physical activities have to be directly related to the course material. I will describe some physically active exercises that I used in the classroom to teach students about …
Preparing Students To Read A Calculus Textbook, Douglas Phillippy
Preparing Students To Read A Calculus Textbook, Douglas Phillippy
ACMS Conference Proceedings 2015
Consider the exercise of reading the textbook before class. While most educators agree that this practice leads to better learning, too often students enrolled in a calculus class do not find pre-class reading a valuable use of their time, and their commitment to doing so fades. Why is this? As instructors, we hope that these students will be well-versed in the fundamental concepts of the subject by the time they prepare for their final exam, but as they progress through the course and encounter new concepts, they may not be ready for the technical language of the standard calculus textbook. …
The Best Religious Calendar, Andrew Simoson
The Best Religious Calendar, Andrew Simoson
ACMS Conference Proceedings 2015
Many religions have deep roots in the rhythms of the moon. And ever since at least the fifth century BC man has known that the moon repeats itself every n = 19 years. Is this integer valuen the best of all choices?Easter follows such a calendar. We briefly show that 19 is second best. And then we run time backwards, and give a rationale as to why a certain species of cicada has a life cycle of 17 years. The answer involves the moon, the Farey series, and Kepler’s laws of motion.
Home Primes And Foreign Primes, Nicholas Zoller
Home Primes And Foreign Primes, Nicholas Zoller
ACMS Conference Proceedings 2015
Home primes and foreign primes are produced by a simple recipe that blends prime factorizations with recursion. The home prime of a positive integer n is formed by concatenating the prime factors of n in non-decreasing order. If the resulting integer is prime, then we have found the home prime of n. If not, then we repeat the process as many times as needed to obtain a prime. For instance, 35 = 5·7. After concatenation, we have 57 = 3·19, which is followed by 319 = 11·29, which is followed by 1129, which is prime. Thus, the home prime …
A Triune Philosophy Of Mathematics, Dusty Wilson
A Triune Philosophy Of Mathematics, Dusty Wilson
ACMS Conference Proceedings 2015
What is mathematics and is it discovered or invented? The Humanist, Platonist, and Foundationalist each provide answers. But are the options within the philosophy of mathematics so limited? Rather than viewing and describing mathematics in a mutually exclusive manner, each of these approaches includes components of truth from a greater triune philosophy of mathematics. This talk will introduce this inclusive triune paradigm through which to explore fundamental questions about mathematics.
The Remarkable Mrs. Somerville, Richard Stout
The Remarkable Mrs. Somerville, Richard Stout
ACMS Conference Proceedings 2015
As a woman growing up in the late eighteenth century, Mary Somerville (1780-1872) was denied access to most formal education and getting a university education was completely out of the question. Yet her interests in nature, science, and mathematics, coupled with an intense curiosity and tenacious desire to learn led her to eventually be known and respected by scientists, mathematicians, and intellectuals in both Britain and France. She is one of the important woman in the history of mathematics, even though she did not publish original work. However, she was a talented writer, producing several significant works, including Mechanism of …
Pressure And Impulse In Student Learning: What I Learned From Teaching Physics, Kim Jongerius
Pressure And Impulse In Student Learning: What I Learned From Teaching Physics, Kim Jongerius
ACMS Conference Proceedings 2015
In the fall of 2014, a one-semester gap between the departure of one physics professor and the arrival of the next afforded me the opportunity(?) to teach a first-semester, calculus-based physics class. The thirty-year gap between the last (of three) physics courses I had taken myself and this course I was to teach, combined with a two-week notice prior to the start of the semester, placed me in the interesting position of learning alongside my students. Wading through an unfamiliar text, trying to understand publisher-produced lecture slides, learning from and getting frustrated with online homework, entering review sessions fearful of …
On Random Numbers And God’S Nature, James Bradley
On Random Numbers And God’S Nature, James Bradley
ACMS Conference Proceedings 2015
I start with mathematical Platonism, an ancient stream of thought that views numbers as transcending physical reality. I join this to recent insights into mathematical randomness from theoretical computer science. Joining these streams – one ancient, one recent – yields the surprising conclusion that randomness, defined in a particular way, is part of the nature of God. I then explore some of the implications of this conclusion for our understanding of the doctrine of God’s infinitude.