Teacher Education and Professional Development Commons^™

Lagrange's Interpolation, Chinese Remainder, And Linear Equations, Jesús Jiménez

ACMS Conference Proceedings 2019

Consider a finite set of points {(x1, y1), (x2, y2), . . . , (xk , yk )} in R2. The Lagrange’s interpolation problem is to find a polynomial p(x) of degree k − 1 satisfying p(xi) = yi for 1 ≤ i ≤ k. We will recall the solution to Lagrange’s interpolation problems as an instance of the Chinese Remainder Theorem. Next, we will show that a similar approach can be used to construct solutions to a system of linear equations.

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 …

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.

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, 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, 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, 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, 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, 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, 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, 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, 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, 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), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2019

No abstract provided.

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

ACMS Conference Proceedings 2019

No abstract provided.

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, 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), 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, 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, 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, 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, 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, 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 …

The Impact Of The Reciprocal And The Collaborative Teaching Strategies, On Improving The Literary Appreciation Skills Of Seventh-Grade Students Of Basic Education Cycle In Jordan, Dr. Ibtehal M. Aburezeq

International Journal for Research in Education

The aim of this study was to examine the impact of the reciprocal and the collaborative teaching strategies on improving the literary appreciation skills of the seventh-grade students in Jordan. To this end, lesson plans were prepared, and a test for literary appreciation designed.

The experimental group was taught using the reciprocal and the collaborative strategies, while the control group was taught using the traditional method. After completion of the teaching that lasted for two full months, the literary appreciation test was conducted on the experimental and control groups.

The results of the binary multivariate difference analysis showed that there …

Beyond The Transcript: A Narrative Analysis Of Students' Experiences With Academic Dismissal In A Baccalaureate Nursing Program, Angela Edwards Capello

LSU Doctoral Dissertations

ABSTRACT

Re-defining different is the first step in addressing inequity in nursing education and the disparities that result in a high incidence of academic dismissal in baccalaureate nursing programs. What are the students' differences that contribute to one student’s ease of progression through a baccalaureate nursing program and those who struggle from the first semester?

This study provides a private look into the experiences of nine baccalaureate nursing students who were academically dismissed from their nursing program. Each story chronological from the time they decided to pursue nursing to their experiences during nursing school and to their lives after dismissal. …

Infografis: Status Guru Di Berbagai Negara, Jo Earp

Teacher Southeast Asia

Sebuah survei global melakukan studi di 35 negara tentang sikap dan pandanganmereka tentang guru dan praktik pengajaran. Data dari studi tersebut digunakanuntuk membuat nilai 'indeks status' dengan skala dari 1-100. Infografis hari inimemperlihatkan 15 negara dimana profesi guru paling dihargai, berdasarkan nilaiindeks tersebut.

Preparing Teachers For A Diverse Classroom, Sean O'Rourke, Jonathon Arndt

Education Presentations at National and International Conferences

This project investigated the research question: How do changes in inter-cultural competency (ICC) compare among pre-service teachers at three data collection points? Intercultural competency was defined as “the capability to accurately understand and adapt behavior to cultural differences and commonalities” (Hammer & Bennett, 2010). The study was based on the Developmental Model of Intercultural Sensitivity (Bennett, 1986), which identified five orientations toward cultural differences: denial, polarization, minimization, acceptance, and adaptation. Data was collected from 48 undergraduate students who majored in elementary education. Investigators hypothesized that students would have a statistically significant change in their ICC from the beginning of their …

Fragile Strength: Math Self-Efficacy Of High Achieving Girls, Tristan Tang

Education | Master's Theses

Math gender gap research shows girls’ math self-efficacy to be correlated with their interest in pursuing higher levels of math education and STEM career opportunities. Most math gender gap studies have used only quantitative approaches, thereby missing the opportunity to gain deeper perspectives directly from girls who are steadfastly facing the math gender gap. This study centered around two small focus groups of girls attending a unique secondary school where every afternoon is fully dedicated to deep engagement with higher-level mathematics. Additionally, parents of girls at the school were surveyed to provide further insight into possible sources of their daughter’s …

Examining Efl Learners’ Reading Comprehension: The Impact Of Metacognitive Strategies Discussion And Collaborative Learning Within Multimedia E-Book Dialogic Environments, Abrar H. Alsofyani

USF Tampa Graduate Theses and Dissertations

For most English as a Foreign Language (EFL) learners, both reading and comprehension skills are challenging to acquire. EFL students find reading challenging due to their inability to comprehend and interpret text information, which may lead, at times, to demotivation and loss of interest. The current study intends to explore how Saudi EFL learners may better tackle reading comprehension challenges by examining the utilization of metacognitive reading strategies through discussion and extensive collaborative learning activities within a multimedia e-book dialogic environment. Accordingly, the study investigates the impact of teaching metacognitive strategy-based discussion and collaborative learning on students’ application of the …

Proceedings Of The Global Conference On Education And Research: Volume 3, Waynne B. James, Cihan Cobanoglu

University of South Florida (USF) - M3 Publishing

This is the third volume of the Global Conference on Education and Research Proceedings Series.

ISSN: 2572-6374