Addressing Challenges In Creating Math Presentations,
2019
Liberty University
Addressing Challenges In Creating Math Presentations, David Schweitzer
ACMS Conference Proceedings 2019
When it comes to composing presentation slides with extensive mathematical content, each of the slide creation platforms has at least one significant drawback. Whether it is Beamer and its steep learning curve, PowerPoint and its relative inefficiency with math, Google Slides and its complete lack of math capabilities, or some other platform, no one tool single-handedly offers an ideal solution. Additionally, if users desire creative flexibility, such as the ability to easily change fonts or colors, the platforms’ respective limitations can become even more pronounced. In a project that has been well suited for undergraduate research, the presenter and his …
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.
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.
Charles Babbage And Mathematical Aspects Of The Miraculous,
2019
Anderson University
Charles Babbage And Mathematical Aspects Of The Miraculous, Courtney K. Taylor
ACMS Conference Proceedings 2019
Charles Babbage is widely known as the father of the computer, but he is lesser known for his contributions to natural theology and apologetics. In 1837 Babbage wrote the Ninth Bridgewater Treatise in response to a series of writings concerning faith and science that had been commissioned by the Royal Society. Among the remarkable features of the Ninth Bridgewater are mathematical analogies concerning the miraculous. We will explore these ideas, which range from the difference engine to a family of fourth degree curves, illustrating that for Babbage, miracles are not exceptions to natural law, but rather instances of a larger …
Replacing Remedial Mathematics With Corequisites In General Education Mathematics Courses,
2019
California State University
Replacing Remedial Mathematics With Corequisites In General Education Mathematics Courses, Alana Unfried
ACMS Conference Proceedings 2019
Many colleges and universities offer courses, such as Remedial Mathematics or Elementary Algebra, that underprepared students must complete before they can take a college-level mathematics course. However, nationally there is a push to replace remedial mathematics courses with corequisite courses instead. This design allows students to enter directly into their general education mathematics course instead of first overcoming the barrier of a remedial course. Corequisite mathematics courses were implemented across the 23-campus California State University system during the 2018-19 academic year. I will discuss the design and implementation of a corequisite structure at California State University, Monterey Bay, in particular …
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.
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 …
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. …
Overcoming Stereotypes Through A Liberal Arts Math Course,
2019
Winthrop University
Overcoming Stereotypes Through A Liberal Arts Math Course, Jessica Hamm
ACMS Conference Proceedings 2019
"I'm just not a math person.” We’ve heard this comment countless times from our students. It is a mentality that both paralyzes and strangely comforts them. In this talk I will describe how I use my liberal arts Joy of Mathematics course to help students address and overcome stereotypes. In particular, I will discuss a specific assignment as well as share some student comments and perspectives on how this course helped change their viewpoint on more than just math.
Teaching Mathematics At An African University -- My Experience,
2019
University of the Gambia
Teaching Mathematics At An African University -- My Experience, Kathleen Lewis
ACMS Conference Proceedings 2019
For eight years (2010-2018), I was the head of the math department at The University of The Gambia, a small, new (started in 1999) university in a very small, mostly Muslim, West African country that most Americans have never heard of. During that time, a number of other Americans and Europeans came to teach for shorter periods of time. I will talk about what this experience was like for us, both the good and the bad. I will describe the possibilities for others to spend either a sabbatical or an extended period of time at such a university and suggest …
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.
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 …
Implementation Of Literacy Strategies And The Impact On Word Problems,
2019
Rowan University
Implementation Of Literacy Strategies And The Impact On Word Problems, Lindsey R. Glick
Theses and Dissertations
The purpose of this study is to determine whether the implementation of literacy strategies in a fifth grade mathematics classroom would affect comprehension. The specific aim is to see what happens when students utilize literacy strategies when solving mathematical word problems. Three literacy topics were the focal point in this study: vocabulary, writing, and comprehension. Literacy strategies from each topic were introduced and applied during a mathematics class. Surveys, math journals, graphic organizers, classroom discussions, and interviews were analyzed. The limitations and implications for incorporating literacy instruction in a mathematics class are discussed.
Integrating Online Instruction And Hands-On Laboratory Activities For Summer Learning For Students Of Color: A Design Case In Forensic Science,
2019
Iowa State University
Integrating Online Instruction And Hands-On Laboratory Activities For Summer Learning For Students Of Color: A Design Case In Forensic Science, Douglas Elrick, Jiaqi Yu, Connie Hargrave
Constance P. Hargrave
The popularity of TV shows such as Crime Scene Investigation (CSI) has generated high school students’ interest in forensics. Yet, forensic science is not commonly accessible to students, and especially students of color who often attend under-resourced high schools. This article presents the design, development, and evaluation of an online forensics course created for high school students of color who were a part of an informal science, technology, engineering, and mathematics (STEM) educational development program. Two essential elements guided the course design: the target learners (high school students of color) and integrating online instruction and hands-on laboratory activities involving real-world …
A Qualitative Analysis To Identify The Elements That Support Department Level Change In The Life Sciences: The Pulse Vision & Change Recognition Program,
2019
Pace University
A Qualitative Analysis To Identify The Elements That Support Department Level Change In The Life Sciences: The Pulse Vision & Change Recognition Program, Mary Peteroy-Kelly, Loretta Brancaccio-Taras, Judy Awong-Taylor, Teresa Balser, Thomas Jack, Sara Lindsay, Kate Marley, Sandra Romano, J. Akif Uzman, Pamela Pape-Lindstrom
Publications and Research
The 2011 report, Vision and Change in Undergraduate Biology Education: A Call to Action, provided the impetus to mobilize the undergraduate life sciences education community to affect change in order to enhance the educational experiences of life sciences majors. The work of the appointed Partnership for Undergraduate Life Sciences Education (PULSE) Vision and Change (V&C) Leadership Fellows has focused on the development of programs and resources to support departmental change. In this report, we present a qualitative assessment of several documents generated from the PULSE V&C Leadership Fellow Recognition Team. The Recognition Team developed two initiatives to provide …
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.
The Effectiveness Of Google Classroom In The Self-Contained Chemistry Classroom,
2019
Rowan University
The Effectiveness Of Google Classroom In The Self-Contained Chemistry Classroom, Steven J. Gross
Theses and Dissertations
The purpose of this exploratory investigation was to ascertain the effectiveness of Google Classroom in the self-contained Chemistry classroom in terms of student turning in of assignments, student performance on summative assessment, student satisfaction with the use of Google Classroom, student contribution to class discussion in terms of frequency and quality, and the student acceptance of Google Classroom as a system of technology. Results suggest increased growth on summative assessments, turning in of assignments, and less regression in turning in of assignments with the implementation and use of Google Classroom. Results also suggest that the student population performs better through …
An Exploratory Investigation Of The Effect Of Reading Strategies On Science Assessment Scores,
2019
Rowan University
An Exploratory Investigation Of The Effect Of Reading Strategies On Science Assessment Scores, Suzanne K. Lynch
Theses and Dissertations
The purpose of this study was to determine if the use of literacy strategies in a content area improves a summative assessment score. All of the students in this research had Individual Education Plans. Most of the students have specific learning disabilities that include reading comprehension, reading fluency, basic reading skills, and inferencing skills. Both pre-reading and during reading strategies were used for the study. Students were exposed to the use of graphic organizers and close reading strategies on given topics. Data gathered from the experiment showed that the use of a graphic organizer in addition to notes and labs …
Project Excel: Web-Based Scanning Electron Microscopy For K-12 Education,
2019
Iowa State University
Project Excel: Web-Based Scanning Electron Microscopy For K-12 Education, L. Scott Chumbley, Connie P. Hargrave, Kristen P. Constant, Brian Hand, Thomas Andre, E. Ann Thompson
Constance P. Hargrave
Project ExCEL (Extended Classroom for Enhanced Learning) brings the capabilities of scanning electron microscopy (SEM) into classrooms. University and industry personnel, working together, have developed a web-based interface to allow schools to control a modern SEM. The interface allows a user control of the operating parameters of the microscope, stage movement, and chemical analysis. Such total control is not available on any other system. Since Iowa State University (ISU) pioneered the idea of remote SEM for education, researchers have learned that providing teachers access to sophisticated equipment does not ensure that it will be used. Teachers are busy, and structured …
