Higher Education Commons^™

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 …

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

ACMS Conference Proceedings 2017

No abstract provided.

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 …

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.

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 …

An Evaluation Of Escience Lab Kits For Online Learning, Diana Orozco

Themis: Research Journal of Justice Studies and Forensic Science

Higher education online science courses generally lack the hands-on components essential in understanding theories, methods, and techniques in chemistry and biology. Companies like eScience Labs construct kits to facilitate online learning, which provide students with hands-on activities relevant to their science courses. In order to evaluate ease, efficacy, and comprehension of the forensic science kits by eScience Labs was completed while writing observations of the activities during and after completion; the lab manual learning objectives were compared to results of activities and two stopwatches took elapsed time of each activity to compare with the stated times in the kit manual. …

The Academic Research Library And Science Education: A Roadmap For The Journey, Sue Ann Gardner

University of Nebraska-Lincoln Libraries: Presentations

Science libraries are integral to the process of science inquiry.

Science education is facilitated within science libraries.

The future of science libraries is predicated on librarians maintaining a meaningful relationship with those engaging in scholarship.

Science libraries need to combine traditional and emerging service models, provide access to a wide array of materials, incorporate appropriate technology, and offer ergonomic work spaces to promote effective learning.

The science commons includes varied work spaces which encourage innovation and creativity, facilitate situated and active learning, and promote communities of practice.

The National Science Education Standards definition of science inquiry includes the diverse ways …

An Exploratory Study To Understand Elementary School Students’ Conceptions Of Food Chains, Shelby Snowden

Senior Honors Projects, 2010-2019

Research has shown that elementary school is a critical time to pique children’s interest in science. However, many enrichment activities known to pique this interest in young children are not available to students of low socioeconomic status, English Language Learners, racial minorities, and students with disabilities. This has encouraged many higher education institutions to develop STEM outreach programs. Because of the cognitive gap between STEM professionals and young children and the logistics of implementing student-centered activities in heterogeneous classrooms, programs usually consist of activities that impress students with “sophisticated” science but are beyond the cognitive levels of most students and …

Energy Poverty: Sos, Kaitlin Tomlinson

Senior Honors Projects, 2010-2019

This honors thesis is a part of a larger ISAT Senior Capstone project with partner Rachel Stukenborg. The purpose of the collaborative ISAT Capstone Project was to develop a set of university-level teaching and learning resources about energy poverty that incorporate a spherical display system, Science On a Sphere (S.O.S.). Four lesson “packages” were created regarding energy poverty for the ISAT Capstone. The first three incorporate Science On a Sphere while the fourth delves into the social, political, economic and cultural dynamics of sustainable solutions, without S.O.S. images. Each lesson package includes a background analysis, a comprehensive lesson plan, supporting …

Implementation Of A Biology Summer Bridge Program For First-Year Biology Majors, Madelyn Aittama

Honors Theses

Students are entering higher education at an escalated rate, but many are unprepared for the rigorous coursework that lies ahead of them. As nationwide programs are continuously being implemented throughout high schools to better prepare students for college life, many students are still not equipped with the skills necessary to succeed in obtaining a bachelor’s degree. Many students feel discouraged and inadequate when they perform below their academic expectations, and for a large portion of students pursuing higher education, this results in discontinuing their education. While retention rates amongst STEM (science, technology, engineering and mathematics) students are particularly low, the …

Incorporating Undergraduate Research Experiences In An Engineering Technology Curriculum, Benito Mendoza, Pamela Brown

Publications and Research

Undergraduate research is a high-impact practice leading to student success, engagement, interest in higher education, and skills development. There are two well-known models for incorporating research experiences in a program: Undergraduate Research Experiences (UREs) and Course-based Undergraduate Research Experiences (CUREs). UREs represent the apprentice model. They feature individual students in faculty research laboratories and provide the opportunity for one-on-one mentoring. On the other hand, CUREs are embedded into the curriculum and are open to most students. CUREs put high demands on one or a few mentors to guide many students. UREs and CUREs vary in selectivity, duration, setting, mentoring, and …

A Dber Approach To Writing To Learn, Brian M. Waters

Discipline-Based Education Research Group Speaker Series

Goals for today’s talk

My research shift into DBER

Pilot studies in Scientific Writing and Communication

Research interests

Scientific Writing Help Desk

Conclusions: • Student knowledge and skill in scientific writing improved after taking “Scientific Writing and Communication” • “Writing my drafts” and “Revising my drafts…” were ranked as the most effective activities. This feedback suggests that a full-semester course with multiple drafts, peer review, and revisions is more effective than a workshop or short course without writing practice • Student confidence in the ability to write scientific manuscripts increased after taking this course. This improvement could lead to increased …

Stem Center For Student Retention And Success: A Proposal, Madhu Dhar Ph.D

Higher Education Student Work

The STEM pipeline, a commonly used analogy (Kuh, 2006; Tierney, 2000), has been shrinking. Furthermore, degree attainment for women and underrepresented minority students in STEM are even lower than for undergraduates as a-whole (National Science Foundation, 2007). With low numbers of students enrolling in STEM fields and even smaller numbers of women and minorities in the STEM pipeline, colleges and universities need to pay particular-attention to retaining the students they have. This capstone proposes a STEM Center that provides an infrastructural support for undergraduate students in the School of Science and Engineering at Merrimack College. The Center will consolidate programs …

Using Pre-Calculus And Calculus Student Work To Examine Student Problem Solving Abilities In Online And Face-To-Face Mathematics Courses, Sarah Catherine Ferguson

Teaching & Learning Theses & Dissertations

This study compares the outcomes of student learning between two pairs of courses. Each pair of courses consists of an online section and a face-to-face section. One pair of courses focuses on pre-calculus content while the second pair focuses on calculus content. Both pairs of courses are taught by the same instructor using the same course appropriate materials. Participants for this study include 9 online and 14 face-to-face pre-calculus students and 14 online and 23 face-to-face calculus students from an urban community college in the southeastern portion of the U.S. Written responses from the subjects to a collection of problems …

Amplify Your Teaching Impact: Capitalizing On 1-On-1 Instruction, Abby D. Benninghoff

Journal on Empowering Teaching Excellence

The objective of this essay, which is based on a keynote presentation delivered at the 2016 Empowering Teaching Excellence Conference at Utah State University, is to address this central question: how faculty can make a positive, substantive impact on students through 1-on-1 instruction? The consensus answer derived from experiences and anecdotes offered by this author, her colleagues, and students is to be deliberate in 1-on-1 interactions with students. This simple message is expanded through discussion of 10 key concepts that can help faculty amplify their teaching impact: 1) be available, 2) help students feel comfortable, 3) be a model, 4) …

Creating And Managing Successful Groups, John Sangster

Discipline-Based Education Research Group Speaker Series

• Why is group work an essential component of our classes?

• What are the standard practices in forming groups, and what are the outcomes from this practice?

• What does the research say about forming successful groups?

• Case Study: group work in senior-level road design course