Science and Mathematics Education Commons^™

Variations On The Calculus Sequence, Christopher Micklewright

ACMS Conference Proceedings 2017

Many institutions have embraced a standard format for the Calculus sequence, comprising three four-credit courses covering a fairly consistent set of topics. While there is much to recommend this approach, it still leaves some fantastic concepts rushed or untouched, and it can be argued that it demands too much of students with weaker backgrounds. As such, some schools have experimented with variations on the standard format. In this talk, I will present the model that my institution currently uses, exploring the strengths and weaknesses of our particular approach. I will also suggest ideas, developed in conversation with other ACMS members …

Using Real-World Team Projects: A Pedagogical Framework, Mike Leih

ACMS Conference Proceedings 2017

The use of team projects in a program capstone course for computer science or information systems majors has been a popular method for reinforcing and assessing program learning objectives for students in their final semester. Using real-world group projects as a learning activity is an excellent pedagogical approach in helping students develop critical thinking, team work, real-world problem solving, and communication skills. However, real-world group projects also provide many challenges to both the instructor and students alike. Instructors or students must find real-world projects appropriate for the learning objectives in the course. Instructors must determine how to provide teams with …

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.

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.

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 …

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

The Resolved And Unresolved Conjectures Of R.D. Carmichael, Brian D. Beasley

ACMS Conference Proceedings 2017

Even before heading to Princeton University to work on his doctoral degree, Robert Daniel Carmichael started influencing the path of number theory in the 20th century. From his study of Euler's totient function to his discovery of the first absolute pseudoprime, he set the stage for years of productive research. This talk will present a brief overview of Carmichael's life, including his breadth of mathematical interests and his service on behalf of the Mathematical Association of America. It will focus mainly on his two most famous conjectures- which one has been settled, and which one remains open to this day?

"Big Idea" Reflection Assignments For Learning And Valuing Mathematics, Jeremy Case, Mark Colgan

ACMS Conference Proceedings 2017

While participating in a Faculty Learning Community, we explored the "big questions" we wanted our students to take away from our mathematics courses. We called these questions the Big Ideas of the course and developed a Big Ideas Reflection Assignment, which we continue to assign at the end of each of our courses. Students are able to demonstrate understanding and application of their learning as well as their values and appreciation of mathematics. The assignment encourages students to move beyond a focus on technique and symbolic manipulations towards a broader and more holistic approach, including making connections between their learning …

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 …

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 …

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 …

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

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 …

Perspectives On Emotional Climate Associated With Classroom Interactions, Hiro Komatsubara

Dissertations, Theses, and Capstone Projects

It is difficult for students to learn and teachers to teach in today’s classroom environment especially when events involving strong emotional contradictions occur in classrooms. Such events may elicit emotions that negative affect, teaching, learning and wellness. Various studies show that high levels of negative emotions create stressful classroom environments, and that a positive Emotional Energy (EE) in the classroom encourages attentiveness, enthusiasm and interest. Therefore, it is highly likely that creating calm learning environments by ameliorating classroom participants’ emotional intensity and increasing their mindfulness and awareness will produce positive outcomes. Using both quantitative and qualitative measures this study examines …

The Impact Of Teacher Perception Of Professional Learning Communities On Student Algebraic Achievement, Tyrone John

Dissertations, Theses, and Capstone Projects

In this study, I investigate the impact of teachers’ perceptions of professional learning communities on student algebraic achievement. Furthermore, I also investigate whether these relationships manifest differently for males compared to females. Research indicates that teacher quality and professionalism are considered the most critical factors affecting academic achievement. In this dissertation, I interrogate this issue by employing multivariate analyses using data retrieved from the High School Longitudinal Study of 2009 (HSLS:09) and 2012 follow-up. HSLS:09 used a nationally representative sample of over 21,000 ninth-grade students, which incorporated teacher, parent, school administrator, and school counselor input to create a context for …

A New Integrated Style To Teaching Engineering Mathematics At Third Level Engineering Courses, Mohamad Saleh, Colm Mcguinness

The ITB Journal

Mathematics is the main pillar in the engineering foundation courses and the engineering profession where mathematical manipulation, modelling and simulation are used widely. However, experience in engineering courses has shown that students encounter some difficulties in mathematics, with a certain degree of disinterest and apathy. This is reflected in the mathematical continuous assessments, final exams, laboratory reports for other engineering subjects and in answering engineering numerical question-based mathematical formula. This paper investigates a new development and the implication of two models of a CBL integrated with course lecture material. This is part of an overall integrated approach, achieved through an …

Lab Without A Lab: Prospects For An Iolab Kit To Provide Hands-On Introductory Physics Laboratory Learning Experiences Outside The Traditional Setting, Seth T. Ashman

Engineering & Physics Faculty Publications

No abstract provided.

Math Department Newsletter, 2016-2017, Mathematics Department

Mathematics Newsletter

No abstract provided.

Introduction (2017), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2017

No abstract provided.

Experiencing The Implementation Of New Inquiry Science Curricula, Peter S. Ower

College of Education Theses and Dissertations

Using a phenomenological methodology, a cohort of four experienced science teachers was interviewed about their experience transitioning from traditional, teacher and fact-centered science curricula to inquiry-based curricula. Each teacher participated in two interviews that focused on their teaching backgrounds, their experience teaching the prior traditional curriculum, and their experience teaching the new inquiry-based curriculum. The findings are presented as a narrative of each teachers’ experience with the new curriculum implementation. Analyzing the data revealed four key themes. 1) The teachers felt trapped by the old curriculum as it did not align with their positive views of teaching science through inquiry. …

Relationships Between Mathematics Teacher Preparation And Graduates' Analyses Of Classroom Teaching, James Hiebert, Emily Miller, Dawn Berk

Mathematics Faculty Publications

The purpose of this longitudinal study was to investigate the relationships between mathematics teacher preparation and graduates’ analyses of classroom teaching. Fifty three graduates from an elementary teacher preparation program completed 4 video-based, analysis-of-teaching tasks in the semester before graduation and then in each of the 3 summers following graduation. Participants performed significantly better on the 3 tasks focused on mathematics topics studied in the program than on the task focused on a mathematics topic not studied in the program. After checking several alternative hypotheses, we conclude that a likely explanation for the performance differences is the mathematical knowledge for …

Paper Abstracts (2017), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2017

No abstract provided.

Supporting Veteran Students Along Engineering Pathways: Faculty, Student, And Researcher Perspectives, Brian J. Novoselich, Janice Leshay Hall, Keith A. Landry, Joyce B. Main, Anthony W. Dean

Engineering Technology Faculty Publications

Student veterans, with their highly technical military training, may help remedy national level gaps in qualified science, technology, engineering, and mathematics (STEM) workers. Recent military education benefits and military end strength reductions have the potential to bolster the nation’s engineering technician, engineering technologist, and engineer (ETETE) workforce. Recent work by the National Science Foundation indicates that supporting veteran students towards ETETE careers involves three key tasks for educators: 1) building early awareness of ETETE pathways; 2) ensuring academic recognition for prior military work experience; and 3) providing seamless support from government agencies, academic institutions, and industry. Many veterans experience an …

An Investigation Of Turkish Middle School Science Teachers’ Pedagogical Orientations Towards Direct And Inquiry Instructional Approaches, Selcuk Sahingoz

Dissertations

One of the most important goals of science education is preparing effective science teachers which includes the development of a science pedagogical orientation. Helping in-service science teachers improve their orientations toward science teaching begins with identifying their current orientations. While there are many aspects of an effective science teaching orientation, this study specifically focuses on effective pedagogy. The interest of this study is to clarify pedagogical orientations of middle school science teachers in Turkey toward the teaching of science conceptual knowledge. It focuses on what instructional preferences Turkish middle school science teachers have in theory and practice.

The purpose of …

Using Concept Maps To Monitor Knowledge Structure Changes In A Science Classroom, Leah J. Cook

Dissertations

The aim of this research is to determine what differences may exist in students’ structural knowledge while using a variety of concept mapping assessments. A concept map can be used as an assessment which connects concepts in a knowledge domain. A single assessment may not be powerful enough to establish how students’ new knowledge relates to prior knowledge. More research is needed to establish how various aspects of the concept mapping task influence the output of map creation by students. Using multiple concept maps and pre-instruction and postinstruction VNOS instruments during a 16-week semester, this study was designed to investigate …

Conference Schedule (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

ACMS Conference Proceedings 2017

No abstract provided.

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.

Academic Emotion And Self-Efficacy Impacting Sense Of Math Class Belonging In College Students, Kaitlyn Yavorsky

Theses and Dissertations

A student's sense of belonging has been shown to have positive effects on a student, such as increased motivation and performance (Neel & Fuligni, 2013; Mcmahon, Parnes, Keys, & Viola, 2008). Positive emotions within the academic setting as well as strong self-efficacy have also been found to have these implications (Pekrun, 2006). The impact of emotions in an academic setting and self-efficacy on student's sense of belonging in the classroom is a relatively novel research topic especially in college students. If found, the correlation between academic emotions and self-efficacy along with their impact on sense of belonging can be used …

Approaching Undergraduate Research With Students Who Are Deaf And Hard-Of-Hearing, Austin U. Gehret, Jessica W. Trussell, Lea V. Michel

Journal of Science Education for Students with Disabilities

An undergraduate research experience can provide a unique opportunity for students to learn and grow as scientists; when positive, this experience is often transformative and motivates students to pursue science, technology, engineering and mathematics (STEM) graduate degrees or careers. Conversely, negative research experiences can sour a student’s opinion of research, propagate misconceptions of graduate school, and lead to attrition from STEM fields. Negative research experiences can be equally devastating for faculty mentors and may result in reluctance to mentor future research students. Using a mentoring approach that has traditionally translated to positive research experiences for hearing students may not be …