Science and Mathematics Education Commons^™

High School Biology Preparation: Do Students Feel They Have Been Adequately Prepared For Introductory College Biology?, Mara Neitzel

Empowering Research for Educators

The purpose of this study was to determine how well students are being prepared in high school for introductory college biology courses. Specifically, the objectives of the study are as follows: To gain a better understanding about how well students feel they have been prepared for college science classes based on their high school education, to gain insight on how college preparation in high school impacts students’ self-confidence, and to determine if the accessibility of advanced education courses is influenced by the size of a high school. A mixed methods survey was distributed to freshman in the fall semester of …

In Support Of The Tinker V. Des Moines Decision, Matthew Olson

Empowering Research for Educators

The following position outlines a case for the Tinker v. Des Moines decision, including a historical and modern perspective. With freedom of speech and protest being a regular part of the discussion about U.S. society and schools, now is a good time to look back.

Activity Theory As Theoretical Framework For Analyzing And Designing Global K-12 Collaborations In Engineering: A Case Study Of A Thai-U.S. Elementary Engineering Project, Rebecca Hite, Christopher J. Thompson

Journal of International Engineering Education

The American engineering pipeline requires future workers to possess a unique skill set, comprised of content knowledge and 21st century skills, to recruit highly skilled, globally competitive engineers. Generally, 21st century skills are defined as the ability to think critically, communicate, collaborate in teams, and creatively solve problems. These skills are pertinent in training future engineers provided engineering utilizes the application of scientific knowledge within an inherently collaborative modality (the engineering design process). One component of developing 21st century skills and engineering competencies is the need for students to broaden their global awareness. Hence, American K-12 teachers are actively seeking …

The Ocean And Climate Change: Stommel's Conceptual Model, James Walsh

CODEE Journal

The ocean plays a major role in our climate system and in climate change. In this article we present a conceptual model of the Atlantic Meridional Overturning Circulation (AMOC), an important component of the ocean's global energy transport circulation that has, in recent times, been weakening anomalously. Introduced by Henry Stommel, the model results in a two-dimensional system of first order ODEs, which we explore via Mathematica. The model exhibits two stable regimes, one having an orientation aligned with today's AMOC, and the other corresponding to a reversal of the AMOC. This material is appropriate for a junior-level mathematical …

Consensus Building By Committed Agents, William W. Hackborn, Tetiana Reznychenko, Yihang Zhang

CODEE Journal

One of the most striking features of our time is the polarization, nationally and globally, in politics and religion. How can a society achieve anything, let alone justice, when there are fundamental disagreements about what problems a society needs to address, about priorities among those problems, and no consensus on what constitutes justice itself? This paper explores a model for building social consensus in an ideologically divided community. Our model has three states: two of these represent ideological extremes while the third state designates a moderate position that blends aspects of the two extremes. Each individual in the community is …

Kremer's Model Relating Population Growth To Changes In Income And Technology, Dan Flath

CODEE Journal

For thousands of years the population of Earth increased slowly, while per capita income remained essentially constant, at subsistence level. At the beginning of the industrial revolution around 1800, population began to increase very rapidly and income started to climb. Then in the second half of the twentieth century as a demographic transition began, the birth and death rates, as well as the world population growth rate, began to decline. The reasons for these transitions are hotly debated with no expert consensus yet emerging. It's the problem of economic growth. In this document we investigate a mathematical model of economic …

Climate Change In A Differential Equations Course: Using Bifurcation Diagrams To Explore Small Changes With Big Effects, Justin Dunmyre, Nicholas Fortune, Tianna Bogart, Chris Rasmussen, Karen Keene

CODEE Journal

The environmental phenomenon of climate change is of critical importance to today's science and global communities. Differential equations give a powerful lens onto this phenomenon, and so we should commit to discussing the mathematics of this environmental issue in differential equations courses. Doing so highlights the power of linking differential equations to environmental and social justice causes, and also brings important science to the forefront in the mathematics classroom. In this paper, we provide an extended problem, appropriate for a first course in differential equations, that uses bifurcation analysis to study climate change. Specifically, through studying hysteresis, this problem highlights …

A Model Of The Transmission Of Cholera In A Population With Contaminated Water, Therese Shelton, Emma Kathryn Groves, Sherry Adrian

CODEE Journal

Cholera is an infectious disease that is a major concern in countries with inadequate access to clean water and proper sanitation. According to the World Health Organization (WHO), "cholera is a disease of inequity--an ancient illness that today sickens and kills only the poorest and most vulnerable people\dots The map of cholera is essentially the same as a map of poverty." We implement a published model (Fung, "Cholera Transmission Dynamic Models for Public Health Practitioners," Emerging Themes in Epidemiology, 2014) of a SIR model that includes a bacterial reservoir. Bacterial concentration in the water is modeled by the Monod …

Sir Models: Differential Equations That Support The Common Good, Lorelei Koss

CODEE Journal

This article surveys how SIR models have been extended beyond investigations of biologically infectious diseases to other topics that contribute to social inequality and environmental concerns. We present models that have been used to study sustainable agriculture, drug and alcohol use, the spread of violent ideologies on the internet, criminal activity, and health issues such as bulimia and obesity.

An Epidemiological Math Model Approach To A Political System With Three Parties, Selenne Bañuelos, Ty Danet, Cynthia Flores, Angel Ramos

CODEE Journal

The United States has proven to be and remains a dual political party system. Each party is associated to its own ideologies, yet work by Baldassarri and Goldberg in Neither Ideologues Nor Agnostics show that many Americans have positions on economic and social issues that don't fall into one of the two mainstream party platforms. Our interest lies in studying how recruitment from one party into another impacts an election. In particular, there was a growing third party presence in the 2000 and 2016 elections. Motivated by previous work, an epidemiological approach is taken to treat the spread of ideologies …

Preservice Teachers Making Sense Of Fraction Concepts And Operations In A Mathematics Education Content Course, Deksiyos Demissie Desta

Theses and Dissertations

Twenty-five first-year preservice teachers attending a university in the Midwest of the United States of America participated in a whole-class-setting study aimed at investigating their knowledge of how they made sense of fraction concepts and operations, and how the development of this knowledge was facilitated during a mathematics education content course. Classroom mathematical practices of the content course that became “taken-as-shared” overtime were documented using the three-phase data analysis framework of Stephan and Rasmussen (2002, 2008). In the first phase of the analysis, whole-class discussion of fraction concepts and operations were transcribed and noted each time preservice teachers drew conclusions. …

Modeling The Spread And Prevention Of Malaria In Central America, Michael Huber

CODEE Journal

In 2016, the World Health Organization (WHO) estimated that there were 216 million cases of Malaria reported in 91 countries around the world. The Central American country of Honduras has a high risk of malaria exposure, especially to United States soldiers deployed in the region. This article will discuss various aspects of the disease, its spread and its treatment and the development of models of some of these aspects with differential equations. Exercises are developed which involve, respectively, exponential growth, logistics growth, systems of first-order equations and Laplace transforms. Notes for instructors are included.

The Mathematics Of Gossip, Jessica Deters, Izabel P. Aguiar, Jacquie Feuerborn

CODEE Journal

How does a lie spread through a community? The purpose of this paper is two-fold: to provide an educational tool for teaching Ordinary Differential Equations (ODEs) and sensitivity analysis through a culturally relevant topic (fake news), and to examine the social justice implications of misinformation. Under the assumption that people are susceptible to, can be infected with, and recover from a lie, we model the spread of false information with the classic Susceptible-Infected-Recovered (SIR) model. We develop a system of ODEs with lie-dependent parameter values to examine the pervasiveness of a lie through a community.

The model presents the opportunity …

A Note On Equity Within Differential Equations Education By Visualization, Younes Karimifardinpour

CODEE Journal

The growing importance of education equity is partly based on the premise that an individual's level of education directly correlates to future quality of life. Educational equity for differential equations (DEs) is related to achievement, fairness, and opportunity. Therefore, a pedagogy that practices DE educational equity gives a strong foundation of social justice. However, linguistic barriers pose a challenge to equity education in DEs. For example, I found myself teaching DEs either in classrooms with a low proficiency in the language of instruction or in multilingual classrooms. I grappled with a way to create an equity educational environment that supported …

Linking Differential Equations To Social Justice And Environmental Concerns

CODEE Journal

Special issue of the CODEE Journal in honor of its founder, Professor Robert Borrelli.

Law School News: Roger Williams University Announces 11th President 02-13-2019, Ed Fitzpatrick

Life of the Law School (1993- )

No abstract provided.

Metrics And Methods Used To Compare Student Performance Data In Chemistry Education Research Articles, Michael R. Mack, Cory Hensen, Jack Barbera

Chemistry Faculty Publications and Presentations

Quasi-experiments are common in studies that estimate the effect of instructional interventions on student performance outcomes. In this type of research, the nature of the experimental design, the choice in assessment, the selection of comparison groups, and the statistical methods used to analyze the comparison data dictate the validity of causal inferences. Therefore, gathering and reporting validity evidence in causal studies is of utmost importance, especially when conclusions have real policy implications for students and faculty, among other stakeholders. This review examines 24 articles that reported quantitative investigations of the effect of instructional interventions on performance-based outcomes conducted within undergraduate …

Stem Stories, February 2019, #2, Brooke Wiese

STEM Stories

Featured Event - UNIGO Video Competition

Active Learning And Transparency In Teaching Gateway Mathematics Courses, Viktoria Savatorova

UNLV Best Teaching Practices Expo

The need: we concentrate our attention on the gateway courses (for example, PreCalculus ) which have had traditionally low passing scores and retention. Objectives: in our teaching practice we aim to be consistent assuring: Active participation in the class work based on understanding the concepts and ability to implement them; Clear understanding of the requirements and the grading system (what should be done, when it needs to be done, and how to do that?)

Fostering Student Engagement: Four Strategies, Erica Marti, Ryan Sherman, Haroon Stephen

UNLV Best Teaching Practices Expo

In response to studies demonstrating that poor teaching was the cause of many students leaving math, science, and engineering programs, the American Society of Civil Engineers (ASCE) developed the ExCEEd(Excellence in Civil Engineering Education) Teaching Workshop. Several faculty from the UNLV Department of Civil & Environmental Engineering and Construction have attended the highly intensive five-day workshop. To evaluate the impact on student engagement, four basic instructional strategies from the ExCEEdworkshop, applicable to all fields, were tested and assessed during the Fall 2018 semester: Questioning techniques, physical models, instructor involvement, and group work.