Maximum Elements Of Ordered Sets And Anselm's Ontological Argument,
2019
Miami University
Maximum Elements Of Ordered Sets And Anselm's Ontological Argument, Doug Ward
ACMS Conference Proceedings 2019
I will present a simple theorem concerning maximal elements of a set T endowed with an ordering “>” that is antisymmetric, i.e., if A and B are elements of T , we cannot have both A > B and B > A. A special case of this theorem is a simple version of the ontological argument, one of the classical proofs for the existence of God.
Numerical Range Of Toeplitz Matrices Over Finite Fields,
2019
Taylor University
Numerical Range Of Toeplitz Matrices Over Finite Fields, Derek Thompson, Maddison Guillaume Baker, Amish Mishra
ACMS Conference Proceedings 2019
We characterize the kth numerical range of all n×n Toeplitz matrices with a constant main diagonal and another single, non-zero diagonal, where the matrices are over the field Zp[i], with p a prime congruent to 3 mod 4. We find that, for k ∈ Z∗, the kth numerical range is always equal to Zp[i] with the exception of the scaled identity. We also use similar techniques to discover a general connection between the 0th numerical range and the kth numerical range. Lastly, we conclude with a conjecture regarding the general numerical range of all triangular Toeplitz matrices.
Is Mathematical Truth Time Dependent? Comments From A Paper By Judith Grabiner,
2019
Gordon College
Is Mathematical Truth Time Dependent? Comments From A Paper By Judith Grabiner, Richard Stout
ACMS Conference Proceedings 2019
Judith Grabiner, a renowned historian of mathematics, has written many papers related to signifi- cant changes in the content and nature of analysis, from the 17th through the 19th century. In her paper “Is Mathematical Truth Time Dependent?” Professor Grabiner gives several reasons for the changing nature and requirements in rigor that occurred over this period of two hundred years. In this talk I will briefly summarize her conclusions, particularly in light of how they might influence a Christian perspective on mathematics.
Models, Values, And Disasters,
2019
Gordon College
Models, Values, And Disasters, Michael H. Veatch
ACMS Conference Proceedings 2019
Decision-support models have values embedded in them and are subjective to varying degrees. Philosophical and ethical perspectives on operations research models are used to describe this subjectivity. Approaches to model building are then suggested that take into account subjectivity and values. For the decisions to reflect the right values, the model must align with the decision-maker’s values. I argue that it is appropriate and important for Christians applying mathematical models to be keenly aware of decision-maker’s values and seek to reflect them in the model. Disaster response planning is presented as an example where incorporating values is challenging. The responding …
Factors That Motivate Students To Learn Mathematics,
2019
Calvin University
Factors That Motivate Students To Learn Mathematics, Dave Klanderman, Sarah Klanderman, Benjamin Gliesmann, Josh Wilkerson, Patrick Eggleton
ACMS Conference Proceedings 2019
What motivates some students to want to learn mathematics while others do not share similar motivation? Are these factors intrinsic, extrinsic, or a combination of both? To answer these questions, we adapted a survey originally developed by Tapia (1996) and later shortened by Lim and Chapman (2015). We administered the survey in multiple middle schools, a high school, and multiple colleges and universities. We obtained over 100 completed surveys for each of these educational levels. This presentation offers an analysis of these data, including descriptive statistics and confidence intervals for each educational level. For the college and university sample, we …
Thinking Beautifully About Mathematics: A View Of Mathematics As The Science Of Measurable Orders,
2019
Calvin University
Thinking Beautifully About Mathematics: A View Of Mathematics As The Science Of Measurable Orders, James M. Turner
ACMS Conference Proceedings 2019
At Calvin College, First Year Students are required to take a section of our Discovering the Christian Mind course during our January term. For the past 3 years, I have taught a section of this course titled Thinking Beautiful ly about Mathematics. In it, I explored, with the students, various areas of mathematics, as well as how mathematicians have explored them, while addressing such questions as “Is mathematics invented or discovered?” and “Why is mathematics unreasonably effective?” Ultimately, we look to identify ways and characterizations for how beauty displays itself in mathematics and how and it what ways beauty is …
Marin Mersenne: Minim Monk And Messenger; Monotheism, Mathematics, And Music,
2019
Gordon College
Marin Mersenne: Minim Monk And Messenger; Monotheism, Mathematics, And Music, Karl-Dieter Crisman
ACMS Conference Proceedings 2019
If you have taught a number theory course or even watched the mathematical news, you know that occasionally a new (and enormous) “Mersenne prime” is discovered. Those who have introduced students to the prehistory of calculus may know of a certain Marin Mersenne as the interlocutor who drew Fermat and Descartes (and others) out to discuss their methods of tangents (and more). But who was Mersenne, and what did he actually do? This presentation will give an overview of his times, his role in the history of science, and his own writings. We’ll especially look into why a monk from …
Analyzing The Impact Of Active Learning In General Education Mathematics Courses,
2019
Lewis University
Analyzing The Impact Of Active Learning In General Education Mathematics Courses, Amanda Harsy, Marie Meyer, Michael Smith, Brittany Stephenson
ACMS Conference Proceedings 2019
This talk shares the preliminary results of a study that explores the general perceptions and attitudes of students in general education mathematics courses taught using primarily active learning- based methods (like group work, projects, and discovery learning), and compares them with those enrolled in a general education mathematics course taught in a more traditional and lecture-based method. We present an analysis of survey data collected throughout the semester, which explores the disposition and mindset of students, their mathematical confidence and anxiety, and perceptions of pedagogical methods used for the teaching of mathematics. We also explored how these perceptions and dispositions …
Computer Science: Creating In A Fallen World,
2019
Gordon College
Computer Science: Creating In A Fallen World, Russell Tuck
ACMS Conference Proceedings 2019
When God created people in his image, he gave us the gift of sub-creation. One of the great joys of Computer Science is exercising that gift to create tools : software and computer systems that serve people and solve problems. Like all God’s gifts, he charges us to exercise the gift of sub-creation wisely and for good. While there are many obvious implications and challenges, being good stewardship of users’ time and reducing discrimination are particularly relevant and perhaps less obvious examples. Although computer scientists exercise the gift of sub-creation, we do so as fallen people in a fallen world. …
A Unifying Project For A Tex/Cas Course,
2019
King University
A Unifying Project For A Tex/Cas Course, Andrew Simoson
ACMS Conference Proceedings 2019
We describe a CAS and TEX usage course for mathematics majors. As a unifying project, each student selects two primes p and q with pq < 100, explores mathematical pq ideas, and generates associated graphs, figures, tables for a final TEX paper. We summarize several pq explorations: stu- dents render page pq from Schwartz’s picture book about primes, You Can Count on Monsters, via Mathematica and TEX’s picture environment; students generate fractal images of pq; and students discover the primes of the ring Z r√pql.
Introduction (2019),
2019
Taylor University
Introduction (2019), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2019
No abstract provided.
Paper Abstracts (2019),
2019
Taylor University
Paper Abstracts (2019), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2019
No abstract provided.
Table Of Contents (2019),
2019
Taylor University
Table Of Contents (2019), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2019
No abstract provided.
Association Of Christians In The Mathematical Sciences Proceedings 2019,
2019
Taylor University
Association Of Christians In The Mathematical Sciences Proceedings 2019, Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2019
The conference proceedings of the Association of Christians in the Mathematical Sciences biannual conference, May 29-June 1, 2019 at Indiana Wesleyan University.
Schedule (2019),
2019
Taylor University
Schedule (2019), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2019
No abstract provided.
An Examination Of The Role Of First-Year College-Level Mathematics In Stem Field Major Persistence At A Hispanic-Serving Institution,
2019
California State University, Bakersfield
An Examination Of The Role Of First-Year College-Level Mathematics In Stem Field Major Persistence At A Hispanic-Serving Institution, Jaimi Paschal, Amanda Taggart
Teacher Education and Leadership Faculty Publications
This study examined the influence of mathematics course-taking on Latina/o science, technology, engineering, and mathematics (STEM) major persistence utilizing data from first-year STEM majors at a Hispanic-Serving Institution (HSI). Findings indicated that students who passed a first-term college-level mathematics course had significantly greater odds of persisting in STEM majors than those who did not, demonstrating the importance of early mathematics support to increased STEM major persistence.
Tolkien’S Allegory: Using Peter Jackson’S Vision Of Fellowship To Illuminate Male Adolescent Catholic Education,
2019
St. Xavier High School
Tolkien’S Allegory: Using Peter Jackson’S Vision Of Fellowship To Illuminate Male Adolescent Catholic Education, Adam P. Zoeller, Thomas E. Malewitz Ph.D.
Journal of Catholic Education
With many of the Catholic student population disengaged from regular ritual experiences their working vocabulary of the prayers and knowledge of the Church is limited. A beneficial bridge for many of these disconnected students, specifically male adolescents has been the use of storytelling in connection to Catholic themes to lay the foundations of ritual and deeper concepts through a more familiar setting. Through media literary, multi-modal instruction and Scripture exegesis adolescents can begin to recognize, understand, and feel a connection with the severity of the sacrifice of the Apostles in following Jesus of Nazareth. This article will offer some insights …
Supporting Continued Academic Success, Resilience, And Agency Of Boys In Urban Catholic Alternative Middle Schools,
2019
Loyola University Maryland
Supporting Continued Academic Success, Resilience, And Agency Of Boys In Urban Catholic Alternative Middle Schools, L. Mickey Fenzel, Kathy D. Richardson
Journal of Catholic Education
The persistent inequalities in urban public education in the U. S. that have left far too many Black and Hispanic male students behind with respect to academic skill development, high school graduation, and college success have led Catholic groups to provide alternative secondary school models to advance the academic and career success of urban students. One of these initiatives is the NativityMiguel model school, the first of which opened in New York City in 1971. The present study examines the lived experience, with respect to benefits of this education on the subsequent academic and career successes, of male graduates of …
Dilemma And Knowledge - Book Review Of Re-Imagining Utopias: Theory And Method For Educational Research In Post-Socialist Contexts,
2019
University of Alberta, CUSP: Contemporary Ukraine Studies
Dilemma And Knowledge - Book Review Of Re-Imagining Utopias: Theory And Method For Educational Research In Post-Socialist Contexts, Jessica Zychowicz
Comparative and International Education / Éducation Comparée et Internationale
No abstract provided.
Instructional Coaching As A Tool For Professional Development: Coaches’ Roles And Considerations,
2019
Universiti Sains Malaysia
Instructional Coaching As A Tool For Professional Development: Coaches’ Roles And Considerations, Siaw Hui Kho, Karwan Mustafa Saeed, Abdul Rashid Mohamed
The Qualitative Report
In this study, we primarily aimed to investigate coaches’ roles and their considerations in shifting coaching roles they perform. Employing a qualitative descriptive research, we conducted semi-structured interview sessions with ten instructional coaches to determine their roles and considerations in shifting roles during coaching English teachers in primary schools. Utilizing Braun and Clarke’s (2006) six-phase approach, we employed thematic analysis to analyse the desired data collected in the study. The findings suggested that there were three roles instructional coaches enacted, namely, the role of the implementer, advocate, and educator. The roles were influenced by coaches’ considerations of teacher readiness, coaching …
