Digital Commons Network^™

Instructional Decision Making In A Gateway Quantitative Reasoning Course, Deependra Budhathoki, Gregory D. Foley, Stephen Shadik

Numeracy

Many educators and professional organizations recommend Quantitative Reasoning as the best entry-level postsecondary mathematics course for non-STEM majors. However, novice and veteran instructors who have no prior experience in teaching a QR course often express their ignorance of the content to choose for this course, the instruction to offer students, and the assessments to measure student learning. We conducted a case study to investigate the initial implementation of an entry-level university quantitative reasoning course during fall semester, 2018. The participants were the course instructor and students. We examined the instructor’s motives and actions and the students’ responses to the course. …

Differential Equations For A Changing World:How To Engage Students In Learning And Applying Differential Equations, Biyong Luo

CODEE Journal

In this article, I share my decade-long experience teaching an intensive five-week summer Differential Equation course covering complex topics and tips for creating an interactive and supportive learning environment to optimize student engagement. This article provides my detailed approach to planning and teaching an asynchronous course with rigor and flexibility for each student. An interactive teaching approach and variety of learning activities will augment students’ mathematical fluency and appreciation of the importance of differential equations in modeling a wide variety of real-world situations with special attention to ways differential equations can be relevant to creating public policy.

Odes And Mandatory Voting, Christoph Borgers, Natasa Dragovic, Anna Haensch, Arkadz Kirshtein, Lilla Orr

CODEE Journal

This paper presents mathematics relevant to the question whether voting should be mandatory. Assuming a static distribution of voters’ political beliefs, we model how politicians might adjust their positions to raise their share of the vote. Various scenarios can be explored using our app at https: //centrism.streamlit.app/. Abstentions are found to have great impact on the dynamics of candidates, and in particular to introduce the possibility of discontinuous jumps in optimal candidate positions. This is an unusual application of ODEs. We hope that it might help engage some students who may find it harder to connect with the more customary …

Pre-Service Teachers Notice Student Thinking: Then What?, Tara Barnhart, Heather J. Johnson, Miray Tekkumru-Kisa

Education Faculty Articles and Research

Research has demonstrated that pre-service teachers (PSTs) can learn to notice students’ thinking in sophisticated ways by analyzing videos of classroom interactions. What is less clear is how PSTs use what they notice about student thinking to inform how they respond. Secondary math and science PSTs from three teacher preparation programs were invited to analyze a video clip identifying noteworthy moments of student thinking and describing an instructional move they might make and why. A qualitative analysis of their responses indicates that the PSTs overwhelmingly noticed both the substance and the source of students’ ideas. However, the patterns in their …

Ode Models Of Wealth Concentration And Taxation, Bruce Boghosian, Christoph Borgers

CODEE Journal

We refer to an individual holding a non-negligible fraction of the country’s total wealth as an oligarch. We explain how a model due to Boghosian et al. can be used to explore the effects of taxation on the emergence of oligarchs. The model suggests that oligarchs will emerge when wealth taxation is below a certain threshold, not when it is above the threshold. The underlying mechanism is a transcritical bifurcation. The model also suggests that taxation of income and capital gains alone cannot prevent the emergence of oligarchs. We suggest several opportunities for students to explore modifications of the model.

Blue Whale And Krill Populations Modeling, Li Zhang

CODEE Journal

We present an intriguing topic in an undergraduate mathematical modeling course where predator-prey models are taught to our students. We describe modeling activities and the use of technology that can be implemented in teaching this topic. Through modeling activities, students are expected to use the numerical and graphical methods to observe the qualitative long-term behavior of predator and prey populations. Although there are other choices of predators and prey, we find that using blue whales and krill as predator and prey, respectively, would be most beneficial in strengthening our students' awareness of protecting endangered species and its impact on climate …

Nonlinear Dynamics Of Mountain Pine Beetle Populations: Discussion Of Forestry Policy, A Survey Of Existing Mathematical Models, And Code Base Demonstration, Scott A. Strong, Maya Maes-Johnson

CODEE Journal

This article presents existing mathematical models associated with mountain pine beetle populations in lodgepole pine forests, whose reproductive cycle requires the destruction of colonized host trees, decreasing timber availability/quality, and providing fuel sources for wildfires. With the existence of a positive-feedback loop with environmental warming, the need for intervention and management is clear. However, the legislative responses to the focusing events from our 2000-2010 North American epidemics are characterized as under-leveraged. While the reasons for this are multifaceted, increasing the capacity of STEM-informed individuals to take part in quantitative modeling of the underlying ecosystem generates awareness and provides pathways connecting …

Solar Panels, Euler’S Method And Community-Based Projects: Connecting Differential Equations With Climate Change, Victor J. Donnay

CODEE Journal

How does mathematics connect with the search for solutions to the climate emergency? One simple connection, which can be explored in an introductory differential equations course, can be found by analyzing the energy generated by solar panels or wind turbines. The power generated by these devices is typically recorded at standard time intervals producing a data set which gives a discrete approximation to the power function $P(t)$. Using numerical techniques such as Euler’s method, one can determine the energy generated. Here we describe how we introduce the topic of solar power, apply Euler’s method to determine the energy generated, and …

To Open Or Not To Open: Developing A Covid-19 Model Specific To Small Residential Campuses, Christina Joy Edholm, Maryann Hohn, Nicole Lee Falicov, Emily Lee, Lily Natasha Wartman, Ami Radunskaya

CODEE Journal

In May 2020, administrators of residential colleges struggled with the decision of whether or not to open their campuses in the Fall semester of 2020. To help guide this decision, we formulated an ODE model capturing the dynamics of the spread of COVID-19 on a residential campus. In order to provide as much information as possible for administrators, the model accounts for the different behaviors, susceptibility, and risks in the various sub-populations that make up the campus community. In particular, we start with a traditional SEIR model and add compartments representing relevant variables, such as quarantine compartments and a hospitalized …

Fitting A Covid-19 Model Incorporating Senses Of Safety And Caution To Local Data From Spartanburg County, South Carolina, D. Chloe Griffin, Amanda Mangum

CODEE Journal

Common mechanistic models include Susceptible-Infected-Removed (SIR) and Susceptible-Exposed-Infected-Removed (SEIR) models. These models in their basic forms have generally failed to capture the nature of the COVID-19 pandemic's multiple waves and do not take into account public policies such as social distancing, mask mandates, and the ``Stay-at-Home'' orders implemented in early 2020. While the Susceptible-Vaccinated-Infected-Recovered-Deceased (SVIRD) model only adds two more compartments to the SIR model, the inclusion of time-dependent parameters allows for the model to better capture the first two waves of the COVID-19 pandemic when surveillance testing was common practice for a large portion of the population. We find …

Raising Student Awareness Of Environmental Issues Via Writing Assignments With Differential Equations, Michelle L. Ghrist

CODEE Journal

In this paper, I discuss two environmentally-focused writing assignments that I developed and implemented in recent integral calculus and differential equations courses. These models of carbon storage and PCB’s in a river provide interesting applications of one-compartment mixing problems. The assignments were intended to focus student attention on sustainability concerns while also developing other essential skills. I discuss these assignments and their effect on my students’ technical writing and environmental awareness. Detailed introductory instructions and mostly complete solutions to these assignments appear in the appendices, to include sample student work.

Modeling Aircraft Takeoffs, Catherine Cavagnaro

CODEE Journal

Real-world applications can demonstrate how mathematical models describe and provide insight into familiar physical systems. In this paper, we apply techniques from a first-semester differential equations course that shed light on a problem from aviation. In particular, we construct several differential equations that model the distance that an aircraft requires to become airborne. A popular thumb rule that pilots have used for decades appears to emanate from one of these models. We will see that this rule does not follow from a representative model and suggest a better method of ensuring safety during takeoff. Aircraft safety is definitely a matter …

Using A Sand Tank Groundwater Model To Investigate A Groundwater Flow Model, Christopher Evrard, Callie Johnson, Michael A. Karls, Nicole Regnier

CODEE Journal

A Sand Tank Groundwater Model is a tabletop physical model constructed of plexiglass and filled with sand that is typically used to illustrate how groundwater water flows through an aquifer, how water wells work, and the effects of contaminants introduced into an aquifer. Mathematically groundwater flow through an aquifer can be modeled with the heat equation. We will show how a Sand Tank Groundwater Model can be used to simulate groundwater flow through an aquifer with a no flow boundary condition.

Applying The Sir Model: Can Students Advise The Mayor Of A Small Community?, Carrin Goosen, Mark I. Nelson, Mahime Watanabe

CODEE Journal

This is an account of a modelling scenario that uses the sir epidemic model. It was used in a third year applied mathematics subject. All students were enrolled in a mathematics degree of some type. Students are presented with the results of a test carried out on 100 individuals in a community containing 3000 people. From this they determined the number of infectious and recovered individuals in the population. Given the per capita recovery rate and making a suitable assumption about the number of infectious individuals at the start of the epidemic, they then estimate the infectious contact rate and …

Agriculture And Natural Resources Microcredentials To Support Workforce Development In Southwestern West Virginia, Hannah Blake

Theses, Dissertations and Capstones

The areas surrounding Marshall University (MU) in Huntington, West Virginia (WV) are underemployed and economically distressed. MU has an opportunity to support workforce development in the region, aligning with leading geographical regions in agriculture and natural resources (ANR) by offering microcredentials designed to meet the relevant needs of the current workforce. The long-term goal of this study is to inform higher education decisions that can improve ANR career workforce development, increase future growth and opportunities in ANR, and ultimately improve the quality of life in southwestern WV. To address the needs of the current workforce, a Qualtrics needs assessment consisting …

Educators’ Beliefs About Using Academic Acceleration With Gifted Math Students And Others: Barriers And Opportunities, Jason Gorgia

Theses, Dissertations and Capstones

This study examined the perceptions of educators (i.e., math teachers, administrators, and others) for insight into the absence of acceleration as a common pedagogical strategy in mathematics, despite longstanding research supporting the practice for students gifted in math and the interest frequently articulated by policymakers and educators in boosting American K-12 students’ math achievement. Educators from 48 states responded to scale-based and open-ended questions about math acceleration through an online survey where 713 of 818 respondents were teachers, balanced almost evenly among elementary, middle, and high schools, and among urban, suburban, and rural settings. The responses of teachers and non-teaching …

An Expository Analysis Of Textbook Usage In Classical Settings For High School Biology, Kristen Bissontz

Master of Arts in Classical Studies

AN EXPOSITORY ANALYSIS OF TEXTBOOK USAGE IN CLASSICAL SETTINGS FOR HIGH SCHOOL BIOLOGY

Kristen Bissontz

Southeastern University, Lakeland FL

The classical model of education has reemerged as a viable alternative to the modern education system. Many of the disciplines taught in a classical school, program or home education scenario appear to align with the classical philosophy with the exception of the sciences. This paper serves to uncover if textbooks are the primary source in classical settings, what resources are utilized, and offers suggestions to better align with the classical pedagogy.

A small sample of classical schools and programs in a …

Ultrasound-Guided Erector Spinae Plane Block: An Objective Structured Clinical Examination For First-Year Anesthesia Providers, Andrew Edwards, Jonathan Mardis

Doctoral Projects

The use of ultrasound-guided regional anesthesia (UGRA) in anesthetic practice is an invaluable tool for anesthesia providers to implement into their daily practice. One of these regional techniques is the erector spinae plane block (ESPB) which has anesthetic implications in numerous surgical procedures including cervical spine, thoracolumbar spine, thoracic wall, and chest wall procedures. Because of the novelty of this regional anesthetic technique, it is important to educate first-year anesthesia providers about the implications, skillset, and complications of the ESPB.

To bridge the gap between didactic knowledge and clinical practice in first-year anesthesia providers, an objective structured clinical examination (OSCE) …

Concepts In Animal Parasitology, Chapter 61: Transversotrematidae Witenberg, 1944 (Family): Ectoparasitic Trematodes [Platyhelminthes], Scott C. Cutmore, Thomas H. Cribb

Concepts in Animal Parasitology

An overview of the family Transversotrematidae Witemberg, 1944, a small but biologically significant group of plagiorchiid digenean trematodes (flukes), including discussion of identification, general morphology, life cycles, host range, and the significance of their evolutionary position and biology.

Chapter 61 in Concepts in Animal Parasitology, by Scott C. Cutmore and Thomas H. Cribb. 2024. S. L. Gardner and S. A. Gardner, editors. Zea Books, Lincoln, Nebraska, United States. doi: 10.32873/unl.dc.ciap061

Concepts In Animal Parasitology, Chapter 62: Hirudinea (Subclass): Parasitic Leeches, Alejandro Oceguera-Figueroa, Sebastian Kvist

Concepts in Animal Parasitology

An overview of the parasitic leeches, subclass Hirudinea, including discussion of leeches as parasites, vectors, and hosts, their general morphology, reproduction, zoogeography, classification, phylogeny, medical uses, and preparation of specimens.

Chapter 62 in Concepts in Animal Parasitology, by Alejandro Oceguera-Figueroa and Sebastian Kvist. 2024. S. L. Gardner and S. A. Gardner, editors. Zea Books, Lincoln, Nebraska, United States. doi: 10.32873/unl.dc.ciap062

Critical Convergence: Mapping The Boundaries Of How Faculty Interrogate Whiteness In The Geoscience Educational Landscape, James E. Hobbs

Educational Leadership & Policy Studies Dissertations - Archive

This study examined the role of faculty members in interrogating whiteness within geoscience education. The dominant reliance on whiteness as the primary way of knowing in geoscience education has long perpetuated a singular perspective that serves as a mechanism for reinforcing existing power structures rooted in white supremacy. Drawing on tenets from Critical whiteness Studies, Curriculum Theory, and Transformative Learning Theory, this research investigated U.S. higher education faculty members' strategies and challenges in disrupting whiteness within the geoscience curriculum.

Through critical qualitative narrative inquiry, data were collected through semi-structured interviews with geoscience faculty members across multiple institutions across the United …

How Economically Marginalized Adolescents Of Color Negotiate Critical Pedagogy In A Computing Classroom, Jean Salac, Lena Armstrong, Megumi Kivuva, Jayne Everson, Amy J. Ko

Computer Science Faculty Work

Background and Context: With the growing movement to adopt critical framings of computing, scholars have worked to reframe computing education from the narrow development of programming skills to skills in identifying and resisting oppressive structures in computing. However, we have little guidance on how these framings may manifest in classroom practice. Objectives: To better understand the processes and practice of critical pedagogy in a computing classrooms, we taught a critically conscious computing elective within a summer academic program at a northwest United States university targeted at secondary students (ages 14–18) from low-income backgrounds and would be the first …

Exploring The Integration Of Neuroeducation Principles In Teaching Mathematics In Selected Secondary Schools In Iringa Municipality, Tanzania., Emmanuel Kahise

Master of Education

This research explored the integration of neuroeducation principles in the mathematics curriculum of secondary educational institutions in Iringa Municipality, Tanzania, driven by the goal of enhancing learning outcomes and refining instructional strategies. Employing a qualitative case study methodology, the study examined teachers' perspectives, the actual implementation of neuroeducation concepts in classrooms, and the challenges encountered during integration. Through observations of form one and form three classes and interviews with three mathematics teachers, inconsistencies between claimed understanding and actual practices were identified. To address issues such as a lack of instructional resources, restricted technology access, and limited professional growth opportunities, specific …

Exploring The Contribution Of Multimedia Resource Integration On Learner Engagement In Teaching And Learning Of Integrated Science In A Primary School In Arua City -Uganda, Sebbi Sadadi Okumu

Master of Education

The integration of multimedia resources in primary school classrooms has become essential in the twenty-first century, given the huge potential of information and communication technology (ICT). This qualitative case study aimed to explore the contribution of multimedia resource integration on learner engagement in the teaching and learning of integrated science in a primary school in Arua City, Uganda.

The primary research question addressed the contribution of multimedia integration to learner engagement in integrated science instruction. Additionally, subsidiary inquiries explored into the types of multimedia resources employed, learner responses to their utilization, teachers' perceptions, and the relationship between teachers' perceptions and …

Program And Proceedings: Nebraska Academy Of Sciences 1880–2024, 144th Anniversary Year, One Hundred-Thirty-Fourth Annual Meeting

Nebraska Academy of Sciences: Programs and Proceedings

Program

Aeronautics and Space Science

Aeronautics and Space Science Poster Session

Anthropology: Humans Past and Present

Maiben Lecture: "Platte Basin Timelapse: A Watershed in Motion," Grant Reiner

Applied Science and Technology

Biological Sciences

Biomedical Sciences

Chemistry

Earh Sciences

Environmental Sciences

Physics

Science Education

Combining The Concrete Representational Abstract Framework And Video Modeling To Increase Basic Addition Skills Among First Grade Students, Sara Ebner

Theses and Dissertations--Educational, School, and Counseling Psychology

Proficiency in mathematics is fundamental for academic success and is linked to numerous skills that are essential for success in the real-world. Despite its importance, many students struggle with math, leading to nationwide declines in math proficiency. This decline highlights the need for effective interventions that are accessible, able to be individualized, and feasible for implementation across settings. In the present study, a single case multiple probe across participants design was used to assess the efficacy of a concrete-representational-abstract (CRA) framework with video modeling intervention on the basic addition problem-solving accuracy of three first-grade students. Results show that participants’ accuracy …

Utilizing Internet Memes In Senior High School Biology To Improve Gen Z’S Academic Achievement, Attitude, And Self-Efficacy, Alyanna Nicole Carlos, Emmanuel D. Delocado

Biology Faculty Publications

Generation Z learners’ short attention span challenges educators to design engaging teaching methods that capture their interest. This quantitative study investigates the effect of memes, which are popular internet media, on non-STEM Gen Z high school students’ academic achievement, attitude, and self-efficacy in biology. Two groups of Grade 11 participants (n=243) were taught cellular division and genetics lessons through two different approaches. The results demonstrate that the experimental group which was taught using meme-infused materials had statistically significantly higher post-test scores (21.46 ± 4.41 out of 30; independent t-test = 0.00) than students who were taught with materials with no …

A Chat Analysis Of The Use Of Educational Video Games To Teach Physical Science To Middle School Girls, Stephen G. Petit

Graduate Thesis and Dissertation 2023-2024

As students transition into middle school science courses, their interest and engagement in the subject declines. This decline is most significant among girls, particularly for topics in physical science. While several factors have been identified that contribute to the decline, one area that is emerging as a new way to help improve girls' view of science is the use of educational video games to improve engagement and interest in science content, particularly as video games have been steadily rising in popularity with girls. This study used Cultural Historical Activity Theory to understand how middle school girls engage with an educational …

Incorporating Sex-Diverse And Gender-Inclusive Perspectives In Higher Education Biology Courses, Breanne N. Harris, A Kelsey Lewis, Sam L. Sharpe, Teri J. Orr, Christopher T. Martine, Chloe C. Josefson

Faculty Journal Articles

Inclusive teaching is teaching in a way that reaches all students in the classroom; this is beneficial for everyone, particularly for those with minoritized identities. Instructors play a critical role in scaffolding how students are exposed to and learn science content in the classroom. In this manuscript, we discuss how biology instructors can make their classrooms more inclusive with regard to sex and gender diversity content. Many topics in biology are based on androcentric, heteronormative, and oppressive framing, even though those lenses are more reflective of our own history and culture than they are of the diversity we see in …

Encouraging Students To “Think Like A Scientist” Through Picture Books Designed To Support Research-Based Science Education, Emily Mae Starr

Children's Literature (MA) Theses

The purpose of this thesis was to develop a series of nonfiction picture books, Think Like a Scientist, to help children see themselves as scientists by stepping into the shoes of real-life scientists. Each book in the series focuses on a crosscutting concept (one of the three dimensions of the Next Generation Science Standards) and how three scientists used the concept when making revolutionary discoveries. Novel to the series are strategically spaced questions that encourage readers to interact with the text by engaging in the same thought processes as real scientists. The series is intended support research-based elementary science …