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Full-Text Articles in Education

Oscillation In Mathematical Epidemiology, Meredith Greer Oct 2019

Oscillation In Mathematical Epidemiology, Meredith Greer

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Multidisciplinary Education And Research In Biomathematics For Solving Global Challenges, Padmanabhan Seshaiyer Oct 2019

Multidisciplinary Education And Research In Biomathematics For Solving Global Challenges, Padmanabhan Seshaiyer

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


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 Feb 2019

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 ...


Sir Models: Differential Equations That Support The Common Good, Lorelei Koss Feb 2019

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.


Sir Models: Differential Equations That Support The Common Good, Lorelei Koss Jan 2019

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

Faculty and Staff Publications By Year

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.


Examining Teacher Perceptions When Utilizing Volunteers In School-Based Agricultural Education Programs, Ashley B. Cromer Dec 2018

Examining Teacher Perceptions When Utilizing Volunteers In School-Based Agricultural Education Programs, Ashley B. Cromer

All Graduate Theses and Dissertations

There has been little research conducted related to how school-based agricultural (SBAE) teachers perceive the utilization of volunteers in the classroom. The United States is facing a shortage of SBAE teachers, and with turnover rates that are not sustainable, solutions for support and reduction of the SBAE teachers’ workload must be sought with diligence. There is potential for volunteers to reduce some of the responsibilities that the SBAE teacher is faced with. The purposes of this study are to determine the demographic characteristics of the volunteers being utilized and of the SBAE teachers, determine the perceived benefits, barriers and beliefs ...


Student Research In Algebraic And Combinatorial Mathematical Biology, Raina Robeva Oct 2018

Student Research In Algebraic And Combinatorial Mathematical Biology, Raina Robeva

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Calculus Of The Impossible: Review Of The Improbability Principle (2014) By David Hand And The Logic Of Miracles (2018) By Lásló Mérő, Samuel L. Tunstall Jul 2018

Calculus Of The Impossible: Review Of The Improbability Principle (2014) By David Hand And The Logic Of Miracles (2018) By Lásló Mérő, Samuel L. Tunstall

Numeracy

David J. Hand. 2014. The Improbability Principle: Why Coincidences, Miracles, and Rare Events Happen Every Day (New York, NY: Scientific American/Farrar, Straus and Giroux) 288 pp. ISBN: 978-0374175344.

Lásló Mérő. 2018. The Logic of Miracles: Making Sense of Rare, Really Rare, and Impossibly Rare Events (New Haven, CT: Yale University Press) 288 pp. ISBN: 978-0300224153.

David Hand and Lásló Mérő both grapple with the occurrence of seemingly impossible events in these two popular science books. In this comparative review, I describe the two books, and explain why I prefer Hand's treatment of the impossible.


The Urban Black Male: Early Indicators Of Algebra 1 Failure, Roy Harris Apr 2018

The Urban Black Male: Early Indicators Of Algebra 1 Failure, Roy Harris

Scholar Week 2016 - present

The meager mathematical performance of the Black male student has been a well-documented event that was well over 30 years in the making. The purpose of this study was to contribute to the literature on 9th grade urban Black male algebra performance and to identify the existence of any early predictors of high school algebra 1 failure. Specifically, the study sought to identify any difference in the preferred learning styles, mathematics self-efficacy scores, and standardized test scores, among urban Black males 14-16 years who passed high school algebra 1 1st semester of the 2016-2017 school year and urban ...


Using Random Forests To Describe Equity In Higher Education: A Critical Quantitative Analysis Of Utah’S Postsecondary Pipelines, Tyler Mcdaniel Apr 2018

Using Random Forests To Describe Equity In Higher Education: A Critical Quantitative Analysis Of Utah’S Postsecondary Pipelines, Tyler Mcdaniel

Butler Journal of Undergraduate Research

The following work examines the Random Forest (RF) algorithm as a tool for predicting student outcomes and interrogating the equity of postsecondary education pipelines. The RF model, created using longitudinal data of 41,303 students from Utah's 2008 high school graduation cohort, is compared to logistic and linear models, which are commonly used to predict college access and success. Substantially, this work finds High School GPA to be the best predictor of postsecondary GPA, whereas commonly used ACT and AP test scores are not nearly as important. Each model identified several demographic disparities in higher education access, most significantly ...


Truancy In High School, Itzel Ruiz, Jason Mink, Xochitl Aleman Jan 2018

Truancy In High School, Itzel Ruiz, Jason Mink, Xochitl Aleman

SPACE: Student Perspectives About Civic Engagement

The main focus of this project is to analyze students’ poor attendance in order to understand the applicable factors as to why upperclassmen tend to miss more school than students in younger grades. We will be focusing on how students relationships with parents and teachers affect upperclassmen attendance. An anonymous ten question survey was given to five Junior and Senior Civics and U.S. History classes at Steinmetz College Prep high school. The questions were geared towards the students days absent during the school year, and their relationship with teachers and parents. Majority of the students surveyed missed more than ...


Application Of Evolutionary Network Concept In Structuring Mathematics Curriculum, Aditi Mitra Jan 2018

Application Of Evolutionary Network Concept In Structuring Mathematics Curriculum, Aditi Mitra

Electronic Theses and Dissertations

Phylogenetic tree and in general, evolutionary network, has found its application well beyond the biological fields and has even percolated into recent high demanding areas, such as data mining and social media chain reactions. An extensive survey of its current applications are presented here. An attempt has been made to apply the very concept in the mathematics course curriculum inside a degree program. Various features of the tree structure are identified within the curriculum network. To highlight various key components and to enhance the visual effect, several diagrams are presented. The combined effect of these diagram provides a sense of ...


Have You Heard About Qubes?, Carrie Diaz Eaton Oct 2017

Have You Heard About Qubes?, Carrie Diaz Eaton

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Parts Of The Whole: Why I Teach This Subject This Way, Dorothy Wallace Jul 2017

Parts Of The Whole: Why I Teach This Subject This Way, Dorothy Wallace

Numeracy

The importance of mathematics to biology is illustrated by search data from Google Scholar. I argue that a pedagogical approach based on student research projects is likely to improve retention and foster critical thinking about mathematical modeling, as well as reinforce quantitative reasoning and the appreciation of calculus as a tool. The usual features of a course (e.g., the instructor, assessment, text, etc.) are shown to have very different purposes in a research-based course.


2017-2018 Graduate Handbook For The Master Of Arts In Educational Mathematics, Otterbein University Jan 2017

2017-2018 Graduate Handbook For The Master Of Arts In Educational Mathematics, Otterbein University

Graduate School

Graduate Handbook on the MAEM Program at Otterbein University.


Quantifying Life: A Computational Approach To Teaching Mathematics To Biology Students, Dmitry Kondrashov Oct 2016

Quantifying Life: A Computational Approach To Teaching Mathematics To Biology Students, Dmitry Kondrashov

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


A Framework For The Teaching Of Modeling For Biologists, M. Drew Lamar, Carrie Diaz Eaton Oct 2016

A Framework For The Teaching Of Modeling For Biologists, M. Drew Lamar, Carrie Diaz Eaton

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


On The Expression Of Higher Mathematics In American Sign Language, John Tabak Aug 2016

On The Expression Of Higher Mathematics In American Sign Language, John Tabak

Journal of Interpretation

Abstract

The grammar and vocabulary of higher mathematics are different from the grammar and vocabulary of conversational English and conversational American Sign Language (ASL). Consequently, mathematical language presents interpreters with a unique set of challenges. This article characterizes those aspects of mathematical grammar that are peculiar to the subject. (A discussion of mathematical vocabulary and its expression in ASL can be found elsewhere (Tabak, 2014).) An increased awareness of the grammar of mathematical language will prove useful to those interpreters for the deaf and deaf mathematics professionals seeking to express higher mathematics in ASL.

In this article one will, for ...


Creating Art Patterns With Math And Code, Boyan Kostadinov Aug 2016

Creating Art Patterns With Math And Code, Boyan Kostadinov

Publications and Research

The goal of this talk is to showcase some visualization projects that we developed for a 3-day Code in R summer program, designed to inspire the creative side of our STEM students by engaging them with computational projects that we developed with the purpose of mixing calculus level math and code to create complex geometric patterns. One of the goals of this program was to attract more minority and female students into applied math and computer science majors.

The projects are designed to be implemented using the high-level, open-source and free computational environment R, a popular software in industry for ...


Santa Clara Magazine, Volume 57 Number 3, Summer 2016, Santa Clara University Jul 2016

Santa Clara Magazine, Volume 57 Number 3, Summer 2016, Santa Clara University

Santa Clara Magazine

26 - CAN’T THREAD A MOVING NEEDLE To tackle sexual assault on college campuses, a playwriting project comes to the screen. By Danae Stahlnecker ’15.

28 - MISSION CRITICAL When three students fell ill from meningitis-causing bacteria—which can be fatal—it meant the clock was ticking. And to get through this, it would take everybody’s help. By Harold Gutmann.

36 - “WHERE ARE THEY TAKING US?” A journal from the front lines of the Syrian refugee crisis in Greece. By Colleen Sinsky ’10.

40 - NO STRANGERS HERE Refugees, home, and work by Ameera Naguib ’16 from Jordan to Silicon Valley ...


Development Of Utility Theory And Utility Paradoxes, Timothy E. Dahlstrom Jun 2016

Development Of Utility Theory And Utility Paradoxes, Timothy E. Dahlstrom

Lawrence University Honors Projects

Since the pioneering work of von Neumann and Morgenstern in 1944 there have been many developments in Expected Utility theory. In order to explain decision making behavior economists have created increasingly broad and complex models of utility theory. This paper seeks to describe various utility models, how they model choices among ambiguous and lottery type situations, and how they respond to the Ellsberg and Allais paradoxes. This paper also attempts to communicate the historical development of utility models and provide a fresh perspective on the development of utility models.


Introducing Complex Systems Analysis In High School Mathematics Using System Dynamics Modeling: A Potential Game-Changer For Mathematics Instruction, Diana Marie Fisher May 2016

Introducing Complex Systems Analysis In High School Mathematics Using System Dynamics Modeling: A Potential Game-Changer For Mathematics Instruction, Diana Marie Fisher

Dissertations and Theses

Complex systems abound on this planet, in the composition of the human body, in ecosystems, in social interaction, in political decision-making, and more. Analytical methods allowing us to better understand how these systems operate and, consequently, to have a chance to intervene and change the undesirable behavior of some of the more pernicious systems have developed and continue to be enhanced via quickly changing technology. Some of these analytical methods are accessible by pre-college students, but have not been widely used at that level of education. Jay Forrester, the founder of one of the methodologies, System Dynamics (SD), used to ...


Teaching Numerical Methods In The Context Of Galaxy Mergers, Maria Kourjanskaia May 2016

Teaching Numerical Methods In The Context Of Galaxy Mergers, Maria Kourjanskaia

Physics

Methods of teaching numerical methods to solve ordinary differential equations in the context of galaxy mergers were explored. The research published in a paper by Toomre and Toomre in 1972 describing the formation of galactic tails and bridges from close tidal interactions was adapted into a project targeting undergraduate physics students. Typically undergraduate physics students only take one Computational Physics class in which various techniques and algorithms are taught. Although it is important to study computational physics techniques, it is just as important to apply this knowledge to a problem that is representative of what computational physics researchers are investigating ...


The Evaluation Of Rhode Island Public High School Teachers: The Impact On Students, Stephen Lamontagne Apr 2016

The Evaluation Of Rhode Island Public High School Teachers: The Impact On Students, Stephen Lamontagne

Honors Projects in Mathematics

In 2012, the state of Rhode Island began the full implementation of a high-stakes teacher evaluation system. Its purpose is to increase teacher accountability and to improve student performance. However, a significant amount of literature casts doubt about the effectiveness and validity of teacher evaluation. This paper utilizes statistical methods including regression and decision trees in order to determine whether or not there is a relationship between teacher evaluation in Rhode Island and student performance, using RI Department of Education Data for each school from 2008-2015. Furthermore, this presentation investigates other factors that affect schools, to see if changes in ...


Elements Of Dynamic Economic Modeling: Presentation And Analysis, Leigh Tesfatsion Feb 2016

Elements Of Dynamic Economic Modeling: Presentation And Analysis, Leigh Tesfatsion

Economics Working Papers (2002–2016)

The primary goal of these introductory notes is to promote the clear presentation and rigorous analysis of dynamic economic models, whether expressed in equation or agent-based form. A secondary goal is to promote the use of state-space modeling with its respect for historical process, for cause leading to effect without top-down imposition of global constraints. If economic modelers truly wish to respect the rationality of decision-makers, they should have the courage of their convictions; they should not be doing for their modeled decision-makers what in reality these decision-makers must do for themselves.


Parts Of The Whole: Teaching Quantitative Reasoning In The Predator-Prey Model, Dorothy Wallace Jan 2016

Parts Of The Whole: Teaching Quantitative Reasoning In The Predator-Prey Model, Dorothy Wallace

Numeracy

The classical predator-prey equations are in nearly every differential equations text and mathematical biology text. Usually they are presented fait accompli, leaving the student to analyze them or play with a computer program. Here we show that the process of fully understanding where these equations come from and how they are derived provides numerous opportunities to teach or reinforce quantitative reasoning skills necessary to future scientists. This example is used to invoke logic, systems thinking, causal reasoning, understanding functions of one or more variables, quantities versus rates of change, proportional reasoning, unit analysis, and comparison to data.


Logistics Of Mathematical Modeling-Focused Projects, R. Corban Harwood Jan 2016

Logistics Of Mathematical Modeling-Focused Projects, R. Corban Harwood

Faculty Publications - Department of Mathematics and Applied Science

Projects provide tangible connections to course content and can motivate students to learn at a deeper level. This article focuses on the implementation of projects in both lower and upper division math courses which develop and analyze mathematical models of a problem based upon known data and real-life situations. Logistical pitfalls and insights are highlighted as well as several key implementation resources. Student feedback demonstrate a positive correlation between the use of projects and an enhanced understanding of the course topics when the impact of logistics is reduced. Best practices learned over the years are given along with example project ...


Using Mathematical Research Methods To Solve A Problem In Music Theory Instruction, Specifically, The Teaching Of Secondary Dominant Chords, Angela Ulrich Jan 2016

Using Mathematical Research Methods To Solve A Problem In Music Theory Instruction, Specifically, The Teaching Of Secondary Dominant Chords, Angela Ulrich

Williams Honors College, Honors Research Projects

The mathematical method for research is used to find a solution to a problem in music theory: understanding and identifying secondary dominant chords. By reviewing and assessing the teaching methods of university professors and theory textbooks, and comparing those findings with student reviews, a new method for teaching the concept is developed. The proposed system incorporates aural, visual, and kinetic exercises to serve every learner. The literature review and sample unit plan are followed by a possible procedure for testing the effectiveness of the new method.


Multiple Problem-Solving Strategies Provide Insight Into Students’ Understanding Of Open-Ended Linear Programming Problems, Marla A. Sole Jan 2016

Multiple Problem-Solving Strategies Provide Insight Into Students’ Understanding Of Open-Ended Linear Programming Problems, Marla A. Sole

Publications and Research

Open-ended questions that can be solved using different strategies help students learn and integrate content, and provide teachers with greater insights into students’ unique capabilities and levels of understanding. This article provides a problem that was modified to allow for multiple approaches. Students tended to employ high-powered, complex, familiar solution strategies rather than simpler, more intuitive strategies, which suggests that students might need more experience working with informal solution methods. During the semester, by incorporating open-ended questions, I gained valuable feedback, was able to better model real-world problems, challenge students with different abilities, and strengthen students’ problem solving skills.


Art, Math, And Physics; All About For, Chris Brownell, Steve Pauls Sep 2015

Art, Math, And Physics; All About For, Chris Brownell, Steve Pauls

The STEAM Journal

Anish Kapoor’s public sculpture “Cloud Gate” and Frame of Reference.