Physical Sciences and Mathematics Commons^™

Mathematically Modeling How Trapping Regimes That Target Specific Crayfish Life Stages Impact Removal Efficacy, Rini Pattison

Seaver College Research And Scholarly Achievement Symposium

The red swamp crayfish, Procambarus clarkii, is an invasive species introduced into several streams within the Santa Monica Mountains (SMM) in Southern California. Crayfish predation decimates native aquatic species. Thus, the Mountains Restoration Trust (MRT) and Environmental Restoration Group have worked to remove crayfish through regular trapping in Malibu Creek.

To aid conservation efforts, former SURB students William Milligan and Dev Patel developed mathematical models of crayfish removal efficacy. Milligan created a differential equation model of how crayfish removal affects local newt populations. Patel expanded Milligan’s crayfish model by creating a discrete model of the crayfish life cycle that newly …

Digital Game-Based Approach To Math Learning For Students, Gul Ayaz, Katherine Smith

Modeling, Simulation and Visualization Student Capstone Conference

Mathematics is an important subject that is pervasive across many disciplines. It is also a subject that has proven to be challenging to both teach and learn. Students face many challenges with learning math such as a lack of motivation and anxiety. To address these challenges, game-based learning has become a popular approach to stimulate students and create a more positive classroom environment. It can serve as an alternative or supplement to traditional teaching and can better engage students while developing a positive attitude toward learning. The use of games in a classroom can create a more exciting and engaging …

Categorical Aspects Of Graphs, Jacob D. Ender

Undergraduate Student Research Internships Conference

In this article, we introduce a categorical characterization of directed and undirected graphs, and explore subcategories of reflexive and simple graphs. We show that there are a number of adjunctions between such subcategories, exploring varying combinations of graph types.

Spectral Graph Theory And Research, Nathan H. Kershaw, Lewis Glabush

Undergraduate Student Research Internships Conference

Our topic of study was Spectral Graph Theory. We studied the algebraic methods used to study the properties of graphs (networks) and became familiar with the applications of network analysis. We spent a significant amount of time studying the way virus’s spread on networks, with particular applications to Covid-19. We also investigated the relationship between graph spectra and structural properties.

Traditional Mathematics And New Methods Of Teaching Through Programming Together With Students, Robert Kosova, Teuta Thanasi, Lindita Mukli, Loreta Nakuçi Pëllumbi

UBT International Conference

We are used to the traditional methods of teaching mathematics. The textbook, the blackboard and a chalk have been for centuries a wonderful part of teaching. And, they always will be. Traditional teaching methods of mathematics are a wonderful legacy of our educational system that have educated generations of teachers, engineers, administrators, managers, leaders, and economists. American universities websites, the video- lectures of the best professors of well-known disciplines such as statistics, operational research, number theory, algebra, game theory, show impressing large blackboards, all over the auditor's walls. We always will need and admire traditional mathematics. But, beyond the lessons, …

An Individual-Based Model Of Chaparral Vegetation Response To Frequent Wildfire, Timothy Lucas, Dayna Mann, Reanna Dona

Seaver College Research And Scholarly Achievement Symposium

In recent years, the Santa Monica Mountains (SMM) have been plagued by frequent wildfires which threaten the native chaparral species. Nonsprouting chaparral species are completely killed by a fire, but their seeds germinate in response to fire cues. Facultative sprouters both resprout after a wildfire and release seeds that germinate post-fire. This project is based on data collected since 1986 at a biological preserve adjacent to the Malibu campus of Pepperdine University with an average fire return interval of 7.5 years. We present a spatial model that simulates the growth, seed dispersal and resprouting behavior of individual shrubs that compete …

07. Criminal Justice, Northeastern State University

Oklahoma Research Day Abstracts

No abstract provided.

04. Botany, Northeastern State University

Oklahoma Research Day Abstracts

No abstract provided.

06. Computer Science, Northeastern State University

Oklahoma Research Day Abstracts

No abstract provided.

03. Biology, Northeastern State University

Oklahoma Research Day Abstracts

No abstract provided.

08. Engineering, Northeastern State University

Oklahoma Research Day Abstracts

No abstract provided.

10. Forensic Science, Northeastern State University

Oklahoma Research Day Abstracts

No abstract provided.

11. Genetics, Northeastern State University

Oklahoma Research Day Abstracts

No abstract provided.

14. Optometry, Northeastern State University

Oklahoma Research Day Abstracts

No abstract provided.

16. Physics, Northeastern State University

Oklahoma Research Day Abstracts

No abstract provided.

17. Psychology, Northeastern State University

Oklahoma Research Day Abstracts

No abstract provided.

13. Mathematics, Northeastern State University

Oklahoma Research Day Abstracts

No abstract provided.

18. Statistics, Northeastern State University

Oklahoma Research Day Abstracts

No abstract provided.

02. Animal Science, Northeastern State University

Oklahoma Research Day Abstracts

No abstract provided.

05. Chemistry, Northeastern State University

Oklahoma Research Day Abstracts

No abstract provided.

09. Environmental Science, Northeastern State University

Oklahoma Research Day Abstracts

No abstract provided.

12. Kinesiology, Northeastern State University

Oklahoma Research Day Abstracts

No abstract provided.

15. Pharmacy, Northeastern State University

Oklahoma Research Day Abstracts

No abstract provided.

19. Zoology, Northeastern State University

Oklahoma Research Day Abstracts

No abstract provided.

A Case Study Of How Ninth Grade Mathematics Students Construct Knowledge During A Productive Failure Model, Amy F. Westbrook Dr.

Georgia Educational Research Association Conference

The purpose of this qualitative study was to explain how ninth grade mathematics students at a rural high school in Georgia constructed knowledge through student talk when problem solving using Kapur’s (2012) productive failure design. An embedded case study design was used to understand how a group of students constructed knowledge through their use of talk, persistence during the task, and use of prior knowledge while working on a productive failure modeled task. Triangulation resulted from the collected data from multiple sources, which included videotaping, interviewing, and analyzing student artifacts. Utilization of the constructivist perspectives of Vygotsky (1934/1962), Piaget (1971), …

What Makes A ‘Good’ Definition: Analyzing Students’ Conceptions Of Mathematical Definitions And The Pedagogy Of Definitions In Math Education, Jesse Aston

Seaver College Research And Scholarly Achievement Symposium

What are the key differences between how students view mathematical definitions and how their professors think they do? In this study we follow students during a guided reconstruction exercise in which they create a definition for, in this case, the convergence of a sequence and we record the process on film. Several theoretical frameworks including RME are then used to analyze student responses and behavior throughout the process and determine the difference in perceptions between student and teacher; these differences inform the best method to present definitions to students.

Testing And Assessment In Mathematics Via Web Applications, Stefanie Winkler, Carina Pöll, Andreas Körner, Niki Popper, Felix Breitenecker

UBT International Conference

This paper deals with the web interface Maple T.A. which is used for mathematical education at the Vienna University of Technology. Maple T.A. is based on the computer algebra system Maple. This fact offers the possibility to test and assess the students in easy but also complex mathematical matters in an uncomplicated way. This interface was first used only for the refresher course. This course takes place in the first 3 weeks of the semester and deals with the repetition of all the important themes of the school mathematics. Maple T.A. is also used for the basic and advanced mathematical …

Creating A Faculty Learning Community To Support Scholarship Of Teaching And Learning Among Stem University Faculty, Cher C. Hendricks, Myrna Gantner

Interdisciplinary STEM Teaching & Learning Conference (2012-2019)

In this session, we describe the creation of a Faculty Learning Community for university faculty in science, mathematics, and computer science. These faculty, recipients of mini-grants funded by the USG STEM Initiative, are studying ways to improve their instruction and increase student learning in STEM courses. Through the FLC, they are able to collaborate and support each others’ work.

Trig-Star, James M. Anderson

Interdisciplinary STEM Teaching & Learning Conference (2012-2019)

A TRIG-STAR is a mathematics student who has demonstrated in competition that he or she is the most skilled among classmates in the practical application of trigonometry. The competition for the honor is a timed exercise which is the solving of a trigonometry problem that incorporates the use of right triangle formulas, circle formulas, the law of sines, and the law of cosines. The contest helps to promote careers in surveying and mapping to students at the High Schools across the country. The award is sponsored by the National Society of Professional Surveyors and cosponsored locally. State winners also have …

Integrating Manipulatives To Improve Fraction Concepts, Rachel Dunn

Interdisciplinary STEM Teaching & Learning Conference (2012-2019)

Many students are overwhelmed by mathematics because the language is too difficult, the teaching strategies are insufficient or they have lost motivation. With a recent emphasis on meeting the Common Core expectations, using manipulatives to eliminate misconceptions in the mathematical classroom has become even more prevalent. I explored the misconceptions that many students struggle with and provided possible methods of eliminating them at all levels for learning. During this investigation, I studied the effect of manipulatives on students’ understanding of fraction concepts and the students’ conceptions of the unit of reference when working with fraction word problems. I learned that …