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Full-Text Articles in Physical Sciences and Mathematics

Addressing Challenges In Creating Math Presentations, David Schweitzer May 2019

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 …

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Is Mathematical Truth Time Dependent? Comments From A Paper By Judith Grabiner, Richard Stout May 2019

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.

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Numerical Range Of Toeplitz Matrices Over Finite Fields, Derek Thompson, Maddison Guillaume Baker, Amish Mishra May 2019

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.

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Charles Babbage And Mathematical Aspects Of The Miraculous, Courtney K. Taylor May 2019

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 …

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Replacing Remedial Mathematics With Corequisites In General Education Mathematics Courses, Alana Unfried May 2019

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 …

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Maximum Elements Of Ordered Sets And Anselm's Ontological Argument, Doug Ward May 2019

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.

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Models, Values, And Disasters, Michael H. Veatch May 2019

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 …

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Computer Science: Creating In A Fallen World, Russell Tuck May 2019

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. …

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Overcoming Stereotypes Through A Liberal Arts Math Course, Jessica Hamm May 2019

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.

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Teaching Mathematics At An African University -- My Experience, Kathleen Lewis May 2019

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 …

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A Unifying Project For A Tex/Cas Course, Andrew Simoson May 2019

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.

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Thinking Beautifully About Mathematics: A View Of Mathematics As The Science Of Measurable Orders, James M. Turner May 2019

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 …

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Introduction (2019), Association Of Christians In The Mathematical Sciences May 2019

Introduction (2019), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2019

No abstract provided.

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Paper Abstracts (2019), Association Of Christians In The Mathematical Sciences May 2019

Paper Abstracts (2019), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2019

No abstract provided.

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Table Of Contents (2019), Association Of Christians In The Mathematical Sciences May 2019

Table Of Contents (2019), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2019

No abstract provided.

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Schedule (2019), Association Of Christians In The Mathematical Sciences May 2019

Schedule (2019), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2019

No abstract provided.

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Association Of Christians In The Mathematical Sciences Proceedings 2019, Association Of Christians In The Mathematical Sciences May 2019

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.

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Recycling Aluminum, Steffani Burwitz, Kristin M. Roe, Matthew L. Miller, Madhav P. Nepal, Larry B. Browning, P. Troy White May 2019

Recycling Aluminum, Steffani Burwitz, Kristin M. Roe, Matthew L. Miller, Madhav P. Nepal, Larry B. Browning, P. Troy White

Madhav Nepal

Students will investigate and compare the energy cost to produce aluminum products from aluminum ore and recycled aluminum. Students will perform an electrolysis activity to reinforce the idea that recycling metal requires less energy than mining and refining metals from their original source in the earth.

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Learning Science: Physical And Life Sciences In Curricula Across U.S. Schools Of Nursing, Valerie C. Sauda May 2019

Learning Science: Physical And Life Sciences In Curricula Across U.S. Schools Of Nursing, Valerie C. Sauda

Electronic Theses and Dissertations

Nursing educators are being challenged to provide curriculum that meets the changing healthcare environment and demand for creative, innovative nurses to assist in transforming healthcare into the future (Benner, Sutphen, Leonard, & Day, 2010; Institute Of Medicine, 2011). The liberal education provided within a baccalaureate of science in nursing (BSN) degree program provides a diversity of courses within the curriculum, including courses in the natural, physical, mathematical, and social sciences (American Association of Colleges of Nursing [AACN], 2008). Although nursing programs have included science courses in curriculum since the early 1900s (Nutting & Dock, 1907), there is lack of nursing …

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Using Question Variations To Access Alternate Student Thinking About The Same Physical Situations, Jeffrey Mathis Hawkins May 2019

Using Question Variations To Access Alternate Student Thinking About The Same Physical Situations, Jeffrey Mathis Hawkins

Electronic Theses and Dissertations

Assessing students’ understanding of physics is a critical element for improving physics education. This dissertation presents and demonstrates a method to better assess student understanding of physics by varying the types of questions asked of students. The method presented herein, which is based on the Specific Difficulties and Resources frameworks, involves modifying the task students are asked to complete when analyzing the physics of a particular physical situation. Creating question variations that ask students to address a particular correct or incorrect outcome of the physical situation, eliminate an incorrect outcome, or justify a correct outcome provided to them can provide …

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College Of Engineering Senior Design Competition Spring 2019, University Of Nevada, Las Vegas May 2019

College Of Engineering Senior Design Competition Spring 2019, University Of Nevada, Las Vegas

Fred and Harriet Cox Senior Design Competition Projects

Part of every UNLV engineering student’s academic experience, the senior design project stimulates engineering innovation and entrepreneurship. Each student in their senior year chooses, plans, designs, and prototypes a product in this required element of the curriculum. A capstone to the student’s educational career, the senior design project encourages the student to use everything learned in the engineering program to create a practical, real world solution to an engineering challenge. The senior design competition helps focus the senior students in increasing the quality and potential for commercial application for their design projects. Judges from local industry evaluate the projects on …

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General Aviation Weather Encounter Case Studies, John M. Lanicci, Massoud Bazargan, Daniel Halperin, Scott Shappell, Jaclyn Baron, Rebecca Iden, Carla Hackworth, Kali Holcomb Apr 2019

General Aviation Weather Encounter Case Studies, John M. Lanicci, Massoud Bazargan, Daniel Halperin, Scott Shappell, Jaclyn Baron, Rebecca Iden, Carla Hackworth, Kali Holcomb

Scott Shappell

This study presents a compilation of 24 cases involving general aviation (GA) pilots’ weather encounters over the continental U.S. The project team interviewed pilots who had experienced a weather encounter, and we examined their backgrounds, flight experience, and weather encounter details. Results from meteorological data analysis for each weather encounter were consistent with findings of larger GA weather accident studies in terms of the types of hazards encountered and flight phase during which the encounters occurred. Investigation of pilot weather products and the sources from which they were obtained revealed a lack of uniformity of pre-flight data sources and underutilization …

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Connectedness- Its Evolution And Applications, Nicholas A. Scoville Apr 2019

Connectedness- Its Evolution And Applications, Nicholas A. Scoville

Topology

No abstract provided.

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Interview Of Alice L. Hoersch, Ph.D., Alice L. Hoersch Ph.D., Selena Bemak Apr 2019

Interview Of Alice L. Hoersch, Ph.D., Alice L. Hoersch Ph.D., Selena Bemak

All Oral Histories

Alice Lynn Hoersch was born in 1950 in Abington, PA to Albert and Alice Hoersch. She moved to Honey Brook, located in Chester County, PA at two-years-old. Hoersch lived in Honey Brook until she finished graduate school in 1977. She attended Honey Brook Elementary School. She graduated as valedictorian from Twin Valley High School in 1968. Hoersch studied geology at Bryn Mawr College, graduating in 1972. She received both her master’s and Ph.D. in metamorphic petrology from Johns Hopkins University in 1974 and 1977, respectively. The same year she obtained her Ph.D., Hoersch began teaching as an assistant professor of …

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Does Teaching The History Of Mathematics In High School Aid In Student Understanding?, Anne Campbell Apr 2019

Does Teaching The History Of Mathematics In High School Aid In Student Understanding?, Anne Campbell

Undergraduate Honors Thesis Projects

This research will study the effect teaching the history of mathematics in a high school classroom has on student understanding. To accomplish this, lessons both including and excluding historical background on different topics were taught in an Honors Algebra 2 class in the high school setting. This research aims to engage student learning and investigation of topics that normally do not draw a lot of student focus and spark a new or revived interest in mathematics for students by broadening lessons to include material of which students would not otherwise be exposed. The lessons themselves aim to engage other current …

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The Hottest Color For The Fastest Ride: A Problem-Based Unit Of Instruction For The Elementary And Middle School Science Classroom, Madison Wells Apr 2019

The Hottest Color For The Fastest Ride: A Problem-Based Unit Of Instruction For The Elementary And Middle School Science Classroom, Madison Wells

Mahurin Honors College Capstone Experience/Thesis Projects

There is a major gap in the availability of Next Generation Science Standard focused curriculum that effectively utilizes technology to solve real-world problems in an authentic way. “The Hottest Color for the Fastest Ride” will allow students to participate in the real-world application of reflection absorption of light and heat due to color through designing, building, and testing two dual-tone corvettes. This three-day unit of physics instruction designed for fourth- and fifth- grade science classrooms will be tied to a grand challenge that tasks the students with designing a dual-tone car that will stay cool during Kentucky’s hot summer weather …

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Greatest Common Divisor: Algorithm And Proof, Mary K. Flagg Apr 2019

Greatest Common Divisor: Algorithm And Proof, Mary K. Flagg

Number Theory

No abstract provided.

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How To Calculate Pi: Buffon's Needle (Non-Calculus Version), Dominic Klyve Apr 2019

How To Calculate Pi: Buffon's Needle (Non-Calculus Version), Dominic Klyve

Pre-calculus and Trigonometry

No abstract provided.

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The Role Of Sampling Variability In Developing K-8 Preservice Teachers’ Informal Inferential Reasoning, Omar Abu-Ghalyoun Apr 2019

The Role Of Sampling Variability In Developing K-8 Preservice Teachers’ Informal Inferential Reasoning, Omar Abu-Ghalyoun

Dissertations

Recent influential policy reports, such as the Common Core State Standards (CCSS-M, 2010) and Guidelines for Assessment and Instruction in Statistics Education Report, (GAISE, 2007), have called for dramatic changes in the statistics content included in the K-8 curriculum. In particular, students in these grades are now expected to develop Informal Inferential Reasoning (IIR) as a way of preparing them for formal concepts of inferential statistics such as confidence intervals and testing hypotheses. Ben-Zvi, Gil, & Apel, (2007) describe IIR as the cognitive activities involved in informally making statistical inferences. Over this path from informal to formal inference, many important …

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Recycling Aluminum, Steffani Burwitz, Kristin M. Roe, Matthew L. Miller, Madhav P. Nepal, Larry B. Browning, P. Troy White Mar 2019

Recycling Aluminum, Steffani Burwitz, Kristin M. Roe, Matthew L. Miller, Madhav P. Nepal, Larry B. Browning, P. Troy White

iLEARN Teaching Resources

Students will investigate and compare the energy cost to produce aluminum products from aluminum ore and recycled aluminum. Students will perform an electrolysis activity to reinforce the idea that recycling metal requires less energy than mining and refining metals from their original source in the earth.

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