Higher Education Commons^™

Existence And Uniqueness Of Minimizers For A Nonlocal Variational Problem, Michael Pieper

Honors Program: Senior Projects (Public)

Nonlocal modeling is a rapidly growing field, with a vast array of applications and connections to questions in pure math. One goal of this work is to present an approachable introduction to the field and an invitation to the reader to explore it more deeply. In particular, we explore connections between nonlocal operators and classical problems in the calculus of variations. Using a well-known approach, known simply as The Direct Method, we establish well-posedness for a class of variational problems involving a nonlocal first-order differential operator. Some simple numerical experiments demonstrate the behavior of these problems for specific choices of …

Understanding Student Perspective Of Undergraduate Cybersecurity Programs And Experiences Across Christian Colleges And Universities, Brandon P. Grech

Doctoral Dissertations and Projects

The number of Christian colleges and universities that are offering cybersecurity four-year degrees is rising. The workforce is in dire need of cybersecurity professionals; however, has anybody asked the new cybersecurity professionals in the workforce how their recent academic experience prepared them for such a global need? Research is well-documented about what industry currently needs in cybersecurity professionals; however, this research focused on asking graduates what students need for the workforce. The purpose of this explorative qualitative study was to gain an understanding of the phenomena of the holistic experience (technical, nontechnical, and whole-person) strengths and shortcomings (if any) recent …

Women In Stem Fellowship: An Intersectional And Interdisciplinary Approach To Advancing Inclusion In The Sciences, Ina C. Seethaler, Gabriela Perez-Alvarado

Journal of the South Carolina Academy of Science

At our university, women-identified individuals make up 23% of students in STEM fields; less than 15% of them graduate with a STEM degree. Nationally, more than 40% of women who enter a STEM job leave it within fewer than ten years. Gendered issues within STEM industries have been identified, yet we are far from equal opportunities for all genders. In 2018, we—the director of Women’s and Gender Studies (WGS) with colleagues in Math, Computing Sciences, and Chemistry—received a $45,000 grant to create a “Women in STEM Fellowship.” The inclusion of WGS made the fellowship interdisciplinary, intersectional, and informed our decision-making …

How The Number Line Can Be Used To Promote Students' Understanding Of The Normal Distribution, Danri H. Delport

Numeracy

A strong foundation in early number concepts is crucial for students’ future success in statistics. Despite its importance in statistics, many first-year students struggle to comprehend the normal distribution due to a lack of basic number sense. Students get confused about the order and magnitude of negative z-scores on a standard normal curve or when problems about normally distributed random variables are presented in word questions which involve phrases that indicate inequalities. As a result, students shade wrong areas on the bell-shaped curve when they have to calculate probabilities for normally distributed variables. Visual representations such as the number …

Exploring Student Perceptions Of Behavioral, Cognitive, And Emotional Engagement At The Activity Level In General Chemistry, Nicole Naibert, Elizabeth Vaughan, Kylee M. Brevick, Jack Barbera

Chemistry Faculty Publications and Presentations

Although active learning strategies are being incorporated into many higher-education STEM courses, not all students benefit from these activities to the same extent. As these types of activities are designed to engage students in their learning, differences in student engagement may explain some of the differences in learning outcomes. However, before student engagement in active learning activities can be meaningfully measured using a self-report survey, it is important to evaluate if students perceive engagement similarly to the literature definitions on which these measures are based. Therefore, this study sought to explore students’ perceptions of the behavioral, cognitive, and emotional dimensions …

Development And Evaluation Of A Survey To Measure Student Engagement At The Activity Level In General Chemistry, Nicole Naibert, Jack Barbera

Chemistry Faculty Publications and Presentations

Student engagement is an important consideration when incorporating active learning activities into a classroom. To facilitate the large-scale assessment of students’ engagement in activities, a survey measure must first be developed and evaluated. Therefore, the goal of this study was to create a self-report measure of student engagement for use with active learning activities in general chemistry classes. The Activity Engagement Survey (AcES) was modified from an existing survey of engagement of middle and high school science students that contained behavioral, cognitive, emotional, and social engagement items. Multiple rounds of response process interviews and factor analyses were used to modify …

Building A Quantum Engineering Undergraduate Program, Abraham Asfaw, Alexandre Blais, Kenneth R. Brown, Jonathan Candelaria, Christopher Cantwell, Lincoln D. Carr, Joshua Combes, Dripto M. Debroy, John M. Donohue, Sophia E. Economou, Emily Edwards, Michael F. J. Fox, Steven M. Girvin, Alan Ho, Hilary M. Hurst, Zubin Jacob, Blake R. Johnson, Ezekiel Johnston-Halperin, Robert Joynt, Eliot Kapit, Judith Klein-Seetharaman, Martin Laforest, H. J. Lewandowski, Theresa W. Lynn, Corey Rae H. Mcrae, Celia Merzbacher, Spyridon Michalakis, Prineha Narang, William D. Oliver, Jens Palsberg, David P. Pappas, Michael G. Raymer, David J. Reilly, Mark Saffman, Thomas A. Searles, Jeffrey H. Shapiro, Chandralekha Singh

Faculty Research, Scholarly, and Creative Activity

Contribution: A roadmap is provided for building a quantum engineering education program to satisfy U.S. national and international workforce needs.

Background: The rapidly growing quantum information science and engineering (QISE) industry will require both quantum-aware and quantum-proficient engineers at the bachelor's level.

Research Question: What is the best way to provide a flexible framework that can be tailored for the full academic ecosystem?

Methodology: A workshop of 480 QISE researchers from across academia, government, industry, and national laboratories was convened to draw on best practices; representative authors developed this roadmap.

Findings: 1) For quantum-aware engineers, …

Analysis Of Skills Sought By Employers Of Bachelors-Level Geoscientists, Gregory Shafer, Karen Viskuptic, Anne E. Egger

Geological Sciences Faculty Scholarship

Bachelors-level geoscientists make up the majority of the geoscience workforce, and positions for entry-level geoscientists are expected to grow rapidly over the next decade, with some jobs anticipating upward of 10% growth (National Center for O*NET Development, 2021). Are geoscience departments adequately preparing undergraduate students to succeed in these positions?

An Urgent Plea For More Graduate Programs In Statistics Education, David Eli Drew, Sam Behseta, Cherie L. Ichinose

Journal of Humanistic Mathematics

Lately, much has been written about the importance of amplifying statistics-related content in the K-12 curricula. This can be viewed in parallel or as an addendum to the existing mathematics curricula in the United States. Nevertheless, a key component of this debate is the lack of robust and cutting-edge academic programs in statistics education. In this piece, we emphasize the urgent need for investing in creating strong statistics education programs, which would significantly contribute to nurturing quantitative literacy as well as preparing a more informed citizenry in the 21^st century.

A Reflection On Growth Mindset And Meritocracy, Rachel L. Petrik, Julianne Vega, Andrés R. Vindas-Meléndez

Journal of Humanistic Mathematics

As mathematicians working in higher education we reflect on meritocracy and growth mindset with a focus on the relationship between the two. We also note the subtle differences between growth mindset and grit. Our reflection ends with suggestions for how to move forward in the math classroom and throughout the collegiate level.

Navigating A Calculus Course During A Pandemic: A Usma Perspective, Shane K. Smith, Tyson H. Walsh, Lee Evans

Journal of Humanistic Mathematics

In this article we analyze publications written about different teaching modalities and evaluate how each applies to a calculus class during the on-going COVID-19 pandemic. We focus on the positives and negatives of teaching and learning in a virtual, classroom, or HyFlex environment. Although arguments could be made for each environment, especially given different institutional objectives, this work aims to explain why we eventually preferred teaching our Fall 2020 multivariable calculus course in a face-to-face classroom setting at the United States Military Academy at West Point. We also offer measures of performance to compare the current COVID-19 semester with previous …

Saving The Campus Farm: One Approach To Leveraging Institutional Support For A Campus Farm Space, Julia L. Angstmann

Scholarship and Professional Work - LAS

The number of university and college campus farms have increased 13-fold since 1992 to over 300 campuses (LaCharite, 2016). According to reporting by the Association for the Advancement of Sustainability in Higher Education (AASHE) (2018), 80% of campus farm spaces are less than 5 acres in size and 86% are located on campuses with no agriculture school (AASHE, 2018). Campus farms provide a rich interdisciplinary social context of community based, sustainable agriculture that spans the entire suite of social and physical sciences as well as non-STEM fields such as business, religious studies, and communication. Yet, the majority of these farm …

A Virtual Physics Laboratory For Remote/Online Learning, Themistoklis Chronis

Summer Community of Scholars (RCEU and HCR) Project Proposals

No abstract provided.

The Effects Of Stem And Non-Stem Mathematics Corequisite Courses On Student Success At Public Institutions In West Virginia, Vanessa S. Keadle

Theses, Dissertations and Capstones

This study explored the differences in student success outcomes between students enrolled in non-STEM and STEM corequisite mathematics courses at 18 postsecondary institutions across five academic years in West Virginia, using de-identified student data. The researcher analyzed this extant data to determine if student characteristics were predictors of success, as defined as passing the mathematics corequisite course, retention to the next semester, and earning a GPA of 2.0 or higher. The researcher also conducted analyses to understand if the differences in those outcomes between STEM and non-STEM courses were significant. This study identified statistically significant gaps in success for students …

Evaluating A Peer Assisted Learning Programme For Mature Access Foundation Students Undertaking Computer Programming At An Irish University, Nevan Bermingham, Frances Boylan, Barry J. Ryan

Articles

Access Foundation Programmes are a widening-participation initiative designed to encourage engagement in higher education among under-represented groups. This includes socioeconomic and educational disadvantage. Mature students in particular enrolled on these programmes experience greater difficulties making the transition to tertiary education, especially when they opt to study disciplines traditionally considered difficult. Computer programming is perceived as a traditionally difficult subject with lower pass rates and progression rates typically than other subjects.

This paper describes the first of a three-cycle action research study examining the perceived effects of a structured Peer Assisted Learning (PAL) Programme for mature students enrolled on a computer …

Mis-Specification Of Functional Forms In Growth Mixture Modeling: A Monte Carlo Simulation, Richa Ghevarghese

Electronic Theses and Dissertations

Growth mixture modeling (GMM) is a methodological tool used to represent heterogeneity in longitudinal datasets through the identification of unobserved subgroups following qualitatively and quantitatively distinct trajectories in a population. These growth trajectories or functional forms are informed by the underlying developmental theory, are distinct to each subgroup, and form the core assumptions of the model. Therefore, the accuracy of the assumed functional forms of growth strongly influences substantive research and theories of growth. While there is evidence of mis-specified functional forms of growth in GMM literature, the weight of this violation has been largely overlooked. Current solutions to circumvent …

Exploring The Complex Relationship Between Engineering Students Math Experiences And Identity Formation, Jill Davishahl, Joseph Brobst, Elizabeth Litzler, Andrew Klein, Sura Alqudah

Division of Research and Economic Development Faculty & Staff Publications

This paper shares the experiences of a group of S-STEM scholarship students as they progressed through their first year of undergraduate mathematics education including a math placement exam, a math focused bridge program, and calculus course(s). In addition, connections between student experiences and their math identity development were investigated with the goal of better understanding math identity formation. The authors used a mixed-methods approach to explore the math-related experiences of 12 students over the first year of participation in an NSF-funded S-STEM program. Data includes answers to select survey questions and transcripts of student focus groups. First, each student case …

The 4c’S Of Pal – An Evidence-Based Model For Implementing Peer Assisted Learning For Mature Students, Nevan Bermingham, Frances Boylan, Barry J. Ryan

Articles

Peer Assisted Leaning (PAL) programmes have been shown to enhance learner confidence and have an overall positive effect on learner comprehension, particularly in subjects traditionally perceived as difficult. This research describes the findings of a three-cycle Action Research study into the perceived benefits of implementing such a programme for mature students enrolled on a computer science programming module on an Access Foundation Programme in an Irish University. The findings from this study suggest that peer learning programmes offer students a valued support structure that aids transition and acculturation into tertiary education whilst simultaneously improving their subject-matter comprehension and confidence. An …

Full Issue

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

An Examination Of Factors That Support Sustainable Cultural And Curricular Change In Stem Teaching And Learning, Erica Slate Young, Peaches Hash, Sarah Schott, Jack Bookman

Journal of Mathematics and Science: Collaborative Explorations

Using a mixed-methods design, this body of work from the SUMMIT-P consortium explores possible effective conditions for the sustainable reform of STEM teaching and learning at the collegiate level. A model of catalysts for successful and sustainable change is proposed, based on five years of data collection and observations. These catalysts include institutional support, intrinsic and extrinsic motivation of faculty involved, measures of student success, institution size, prior faculty experience, faculty buy-in, and institutional culture. The discussion ends with a delve into the potential broader impacts of this work. For example, this model may help institutions better understand how to …

A Tale Of Four Departments: Interdisciplinary Faculty Learning Communities Informing Mathematics Education, Bryan D. Poole, Caroline Maher-Boulis, John Hearn, Jason Robinson, Patricia Mcclung, Amanda Jones

Journal of Mathematics and Science: Collaborative Explorations

As a result of the Curriculum Foundations Project and the SUMMIT-P consortium, faculty from four different departments at Lee University created a Faculty Learning Community (FLC) with the goal of improving students’ attitudes toward undergraduate mathematics courses, including students’ perception of the utility of mathematics in their lives and the feelings of anxiety that they experience in these courses. The interdisciplinary collaborations resulted in introducing novel activities and manipulatives in various mathematics courses (Introduction to Statistics, Concepts of Mathematics I and II, and Algebra for Calculus). This paper first describes the efforts of creating the inter-departmental FLC. Second, it discusses …

Lessons Learnt Conducting Capture The Flag Cybersecurity Competition During Covid-19, Kee Hock Tan, Eng Lieh Ouh

Research Collection School Of Computing and Information Systems

This innovative practice full paper describes our experiences conducting cybersecurity capture the flag (CTF) competition for cybersecurity enthusiast participants (inclusive of both tertiary students and working professionals) local and abroad during the COVID-19 pandemic. Learning and appreciation of cybersecurity concepts for our participants with little to no technical background can be challenging. Gamification methods such as capture the flag competition style is a popular form of cybersecurity education to help participants overcome this challenge and identify talents. Participants get to apply theoretical concepts in a controlled environment, solve hands-on tasks in an informal, game-like setting and gain hands-on active learning …

Biochar: Properties And Potential Benefits For Agricultural Soil In Rwanda, Andromede Uwase

Honors Program: Senior Projects (Public)

Physical and chemical soil degradation is becoming a major challenge for agricultural productivity in Rwanda, which is the most important part of the country’s economy. The wide spreading soil degradation in Rwanda is mainly a result of naturally poor soils coupled with unsustainable soil management leading to, for example, accelerated soil erosion, acidification, nutrient loss, compaction, and to decreasing yields. Biochar, as an end product of pyrolysis of biomass in the absence of oxygen, has been proposed as a soil amendment in remediation strategies because of its positive effects on soil productivity relevant parameters such as soil pH, structure, nutrient …

Toward A Student-Ready Cybersecurity Program: Findings From A Survey Of Stem-Students, Lora Pitman, Brian K. Payne, Tancy Vandecar-Burdin, Lenora Thorbjornsen

Journal of Cybersecurity Education, Research and Practice

As the number of available cybersecurity jobs continues to grow, colleges strive to offer to their cybersecurity students an environment which will make them sufficiently prepared to enter the workforce after graduation. This paper explores the academic and professional needs of STEM-students in various higher education institutions across Virginia and how cybersecurity programs can cater to these needs. It also seeks to propose an evidence-based approach for improving the existing cybersecurity programs so that they can become more inclusive and student-ready. A survey of 251 college students in four higher-education institutions in Virginia showed that while there are common patterns …

Using An Interdisciplinary Case Study To Incorporate Quantitative Reasoning In Social Work, Nursing, And Mathematics, Elizabeth Post, Mischelle Stone, Lauren Cavner Williams, Mary Beaudry

Journal of Mathematics and Science: Collaborative Explorations

Through the national consortium, SUMMIT-P, Ferris State University faculty collaborated to develop and scaffold mathematics and quantitative reasoning across disciplines to reduce math anxiety. Participants in this collaborative group included faculty from social work, nursing, and mathematics who developed a case study on a Hurricane Katrina scenario that necessitated calculating the need for emergency shelter, water, food, and medicine, and as a response to the potential for a Malaria outbreak. This particular case study allowed faculty to use the lens of social justice to teach mathematical concepts and provided an avenue for nursing and social work students to engage in …

Just In Time Mathematics Review For Accounting Students, Anneke Bart, Michael May S.J., Debbie Pike

Journal of Mathematics and Science: Collaborative Explorations

This paper describes the Just-in-Time Review developed for an undergraduate accounting course. The review materials cover five topics in algebra. Students take an online assessment, and online materials are made available to help students catch up in those areas where some review is recommended. This paper is a case study of the development and implementation of the Just-in-Time Review for an accounting course at Saint Louis University.

Interdisciplinary Collaboration To Develop Meaningful Mathematical Experiences, Susan Ganter, Bill Haver

Journal of Mathematics and Science: Collaborative Explorations

This issue of the Journal of Mathematics and Science: Collaborative Explorations (JMSCE) is the second special volume highlighting the impact of the consortium for Synergistic Undergraduate Mathematics via Multi-institutional Interdisciplinary Teaching Partnerships (SUMMIT-P). The development and goals of SUMMIT-P were outlined in the preface of the first special issue of JMSCE devoted to this project (Ganter & Haver, 2020). Full participation from partner discipline faculty is key to the success of redeveloping introductory mathematics courses in a way that incorporates the contextual needs of the other disciplines. As such, SUMMIT-P’s first task was to find ways to best engage colleagues …

Statistics For Nursing And Allied Health At Saint Louis University In The Spirit Of Summit-P, Kimberly S. Druschel, Mike May, Elizabeth Gockel Blessing

Journal of Mathematics and Science: Collaborative Explorations

This paper describes the renewal of a consumer-based elementary statistics course to benefit students in the nursing and allied health disciplines. While the goal of the course transformation was initially to update the pedagogy of the course and ensure students are able to make connections between the course material and their majors, that goal expanded to include the needs and objectives of the client disciplines. This expanded goal was accomplished by incorporating insights gained from a SUMMIT-P business school collaboration and was based on the Curriculum Foundations project recommendations. The paper addresses course projects, instructor development, faculty roles, and interactions …

Improving Student Knowledge Transfer Between Mathematics And Engineering Courses Through Structured Cross-Disciplinary Collaboration: A Summit-P Initiative, Laura Ellwein Fix, Afroditi Filippas, Maila Brucal-Hallare, Rebecca Segal

Journal of Mathematics and Science: Collaborative Explorations

Student learning across STEM disciplines has been shown to increase with greater integration of applications in mathematics courses. One challenge of this effort is that identical constructs are often presented differently in the partner disciplines than in the mathematics courses. This leads to student confusion and an inability to transfer critical knowledge in their disciplinary courses, even for students who have mastered the mathematical paradigms. An interdisciplinary team at VCU consisting of mathematics and engineering faculty has worked to improve the knowledge transfer required for the integration of applications in the Differential Equations curriculum. This work is part of the …

Leveraging Interdisciplinary Expertise In Developing An Alternative Mathematics Pathway, Beverly Wood, Debra T. Bourdeau

Journal of Mathematics and Science: Collaborative Explorations

How many instructors does it take for amazing course design? Or perhaps we should begin with “A mathematician, humanist, communication expert and statistician walk into a bar.” This unlikely team has co-developed a pair of courses, Learning to Reason I: Art and Quotient and Learning to Reason II: Commerce and Flux, that deeply investigate quantitative reasoning from multiple perspectives. Blending elements of rhetoric, logic, and history with mathematical computation, representation, and application breaks through the perceived barriers between the unyielding, obstinate world of mathematics and the ambiguous, equivocal world of the humanities. Developing the courses as an interdisciplinary team of …