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 Theses and Dissertations (20)
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Articles 1  30 of 1216
FullText Articles in Physical Sciences and Mathematics
Qualitative Analysis Of Corequisite Instruction In A Quantitative Reasoning Course, Zachary Beamer
Qualitative Analysis Of Corequisite Instruction In A Quantitative Reasoning Course, Zachary Beamer
Inquiry: The Journal of the Virginia Community Colleges
In corequisite models of instruction, marginally prepared students are placed directly into collegelevel coursework, taught with a paired support course. Initial research suggests that such models yield significant improvements in the number of students passing creditlevel mathematics when compared to previous models of prerequisite remediation. The present study employs qualitative methods to investigate methods of instruction at one community colleges to understand how instructors identify and respond to student needs. It concludes with recommendations for practice and highlights advantages of small format corequisite classes taught by the same instructor.
Factoring: Difference Of Squares, Thomas Lauria
Factoring: Difference Of Squares, Thomas Lauria
Open Educational Resources
This lesson plan will explain how to factor basic difference of squares problems
Computational Thinking In Mathematics And Computer Science: What Programming Does To Your Head, Al Cuoco, E. Paul Goldenberg
Computational Thinking In Mathematics And Computer Science: What Programming Does To Your Head, Al Cuoco, E. Paul Goldenberg
Journal of Humanistic Mathematics
How you think about a phenomenon certainly influences how you create a program to model it. The main point of this essay is that the influence goes both ways: creating programs influences how you think. The programs we are talking about are not just the ones we write for a computer. Programs can be implemented on a computer or with physical devices or in your mind. The implementation can bring your ideas to life. Often, though, the implementation and the ideas develop in tandem, each acting as a mirror on the other. We describe an example of how programming and ...
Regression Analysis: Graduation Rate In Kentucky Public High Schools, Rebecca Price
Regression Analysis: Graduation Rate In Kentucky Public High Schools, Rebecca Price
Mahurin Honors College Capstone Experience/Thesis Projects
Kentucky’s Public High School graduation rates vary widely across the rural and urban regions in the state. In addition to their graduation rates, each of these schools have their own unique demographics, funding, teacherstudent ratio, etc. that define said school’s identity. This research aims to analyze the aforementioned variables, as well as other variables listed on each school state report card, in order to create a model to predict any school’s graduation rate.
In order to create this model, data was taken on all public high schools in Kentucky from the Kentucky Department of Education’s School ...
The Beautiful Math Of Everything And You Included, E. Ozie
The Beautiful Math Of Everything And You Included, E. Ozie
The STEAM Journal
This a reflection on how there is beautiful math to everything. An author's interpretation of matrices and mechanics in its relationship to someone's identity.
Factors Impacting Students’ Perceptions Of Mathematics, Amber Souza
Factors Impacting Students’ Perceptions Of Mathematics, Amber Souza
Honors Program Theses and Projects
I want to be able to present math in a positive light to all of my future students, regardless of race, gender, and math background. However, for teachers as a whole to be able to take this important step, they must first develop a deeper understanding of why math is a sore spot for many students.
Parametric Art, Shaun Pollard, Daanial Ahmad, Satyanand Singh
Parametric Art, Shaun Pollard, Daanial Ahmad, Satyanand Singh
Publications and Research
Lissajous curves, named after Jules Antoine Lissajous (18221880) are generated by the parametric equations 𝑥=𝐴𝑐𝑜𝑠(𝑎𝑡) and 𝑦=𝐵𝑠𝑖𝑛(𝑏𝑡) in its simplistic form. Others have studied these curves and their applications like Nathaniel Bowditch in 1815, and they are often referred to as Bowditch curves as well. Lissajous curves are found in engineering, mathematics, graphic design, physics, and many other backgrounds. In this project entitled “Parametric Art” this project will focus on analyzing these types of equations and manipulating them to create art. We will be investigating these curves by answering a series of questions that elucidate their ...
Sum Of Cubes Of The First N Integers, Obiamaka L. Agu
Sum Of Cubes Of The First N Integers, Obiamaka L. Agu
Electronic Theses, Projects, and Dissertations
In Calculus we learned that Sum^{n}_{k=1} k = [n(n+1)]/2 , that Sum^{n}_{k=1} k^2 = [n(n+1)(2n+1)]/6 , and that Sum^{n}_{k=1} k^{3} = (n(n+1)/2)^{2}. These formulas are useful when solving for the area below quadratic or cubic function over an interval [a, b]. This tedious process, solving for areas under a quadratic or a cubic, served as motivation for the introduction of Riemman integrals. For the overzealous math student, these steps were replaced by a simpler method of evaluating antiderivatives at ...
Impact Of ConceptBased Mathematics Instructional Strategies On Seventh Grade Student Achievement, Katherine Annette Lawley Ellsworth
Impact Of ConceptBased Mathematics Instructional Strategies On Seventh Grade Student Achievement, Katherine Annette Lawley Ellsworth
Doctoral Dissertations and Projects
In a nation with declining enrollment in college math courses, it is important to examine how mathematics is being taught in the K12 education system and to identify best practices. The purpose of this study was to examine the impact conceptbased instructional strategies has on middle school student achievement in mathematics when integrated into the traditional mathematics curriculum. Participants included 424 seventh grade students from two middle schools. Students Measures of Academic Progress (MAP) FalltoWinter data 2018 prior to implementation was used a covariate and FalltoWinter data 2019 data during the implementation of conceptbased instructional strategies integrated into the traditional ...
Perceiving Mathematics And Art, Edmund Harriss
Perceiving Mathematics And Art, Edmund Harriss
Mic Lectures
Mathematics and art provide powerful lenses to perceive and understand the world, part of an ancient tradition whether it starts in the South Pacific with tapa cloth and wave maps for navigation or in Iceland with knitting patterns and sunstones. Edmund Harriss, an artist and assistant clinical professor of mathematics in the Fulbright College of Arts and Sciences, explores these connections in his Honors College Mic lecture.
Abstract Algebra: Theory And Applications, Thomas W. Judson
Abstract Algebra: Theory And Applications, Thomas W. Judson
eBooks
Tom Judson's Abstract Algebra: Theory and Applications is an open source textbook designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner. Its strengths include a wide range of exercises, both computational and theoretical, plus many nontrivial applications. Rob Beezer has contributed complementary material using the open source system, Sage.
An HTML version on the PreText platform is available here.
The first half of the book presents group theory, through the Sylow theorems, with enough material for a semesterlong course. The secondhalf is suitable for a second semester and presents ...
Analysis Of Dynamical Systems For Synthesis Of Phenobarbital, Mishal Ali
Analysis Of Dynamical Systems For Synthesis Of Phenobarbital, Mishal Ali
Science Research Fellows Posters
The use of mathematical methods for the analysis of chemical reaction systems is one of the useful tools. Phenobarbital (a barbiturate type medication also called phenobarb) is a prescription drug used to control seizures, relieve anxiety, treat epilepsy (in some countries), and prevent withdrawal symptoms in people dependent on other barbiture drugs. We approaches it with matrix analysis and ODE system. It helps us understand the chemical stoichiometry of these synthesis reactions.
Supervisor: Prof. Seonguk Kim, PhD
Use Of Mathematics In Costume Design And Construction, Ryan Dipaola
Use Of Mathematics In Costume Design And Construction, Ryan Dipaola
Senior Honors Theses
My journey at Brockport did not follow the typical mathematics major’s path; as a student in the adolescent education program, I focused on topics of mathematical literacy, including conceptual understanding, procedural fluency, and mathematical reasoning. As an Honors student, I supplemented my learning experience by contracting courses in stage makeup and costume construction. This thesis combines what I’ve learned across the disciplines, and demonstrates the importance of teaching for mathematical literacy, and the benefits of recognizing underlying mathematical concepts and making informed decisions based on them.
Mathematics In Internet Traffic Data Analysis, Sasmita Acharya, Sasmita Mishra, S.N. Mishra
Mathematics In Internet Traffic Data Analysis, Sasmita Acharya, Sasmita Mishra, S.N. Mishra
International Journal of Computer Science and Informatics
The Internet traffic data have been found to possess extreme variability and bursty structures in a wide range of timescales, so that there is no definite duration of busy or silent periods. But there is a selfsimilarity for which it is possible to characterize the data. The selfsimilar nature was first proposed by Leland et a1 [l] and subsequently established by others in a flood of research works on the subject [2][5]. It was then a new concept against the long believed idea of Poisson traffic. The traditional Poison model, a short ranged process, assumed the variation of data ...
Changes And Deltas, Jim Wolper
Changes And Deltas, Jim Wolper
Journal of Humanistic Mathematics
Lecturing about Mathematics is like playing Jazz.
Using Departmental Publications To Foster Student Creativity In Mathematics, Zohreh Shahbazi, Parker GlynnAdey
Using Departmental Publications To Foster Student Creativity In Mathematics, Zohreh Shahbazi, Parker GlynnAdey
Journal of Humanistic Mathematics
This paper discusses the design and implementation of mathematical departmental publications. We argue that these publications foster students’ creativity and written communication skills.
Tactivities: Fostering Creativity Through Tactile Learning Activities, Angie HodgeZickerman, Eric Stade, Cindy S. York, Janice Rech
Tactivities: Fostering Creativity Through Tactile Learning Activities, Angie HodgeZickerman, Eric Stade, Cindy S. York, Janice Rech
Journal of Humanistic Mathematics
As mathematics teachers, we hope our students will approach problems with a spirit of creativity. One way to both model and encourage this spirit – and, at the same time, to keep ourselves from getting bored – is through creative approaches to problem design. In this paper, we discuss ``TACTivities'' – mathematical activities with a tactile component – as a creative outlet for those of us who teach mathematics, and as a resource for stimulating creative thinking in our students. We use examples, such as our ``derivative fridge magnets'' TACTivity, to illustrate the main ideas. We emphasize that TACTivities can be engaging, to teachers ...
Virtual Temari: Artistically Inspired Mathematics, Carl Giuffre, Lee Stemkoski
Virtual Temari: Artistically Inspired Mathematics, Carl Giuffre, Lee Stemkoski
Journal of Humanistic Mathematics
Technology can be a significant aide in understanding and appreciating geometry, beyond theoretical considerations. Both fiber art and technology have been employed as a significant aide and an inspiring vessel in education to explore geometry. The Japanese craft known as temari, or "handballs", combines important artistic, spiritual, and familial values, and provides one such approach to exploring geometry. Mathematically, the artwork of temari may be classified based on whether they are inspired by polyhedra and discrete patterns or by periodic functional curves. The resulting designs of these categories provide an ancient vantage for displaying spherical patterns. We illustrate a technique ...
College Algebra Notes And Exercises (Gcsu), Rabia Shahbaz, Janice Alves
College Algebra Notes And Exercises (Gcsu), Rabia Shahbaz, Janice Alves
Mathematics Ancillary Materials
Developed as part of a Round 13 MiniGrant, these updated supplementary materials for StitzZeager Open Source Mathematics and the LibGuides Open Course for College Algebra at GCSU include notes and exercises on equations, inequalities, functions, polynomial and rational functions, and exponential and logarithmic functions are included in one .zip file.
Mathematical Modeling: Instructor And Student Resources, Marnie Phipps, Patty Wagner
Mathematical Modeling: Instructor And Student Resources, Marnie Phipps, Patty Wagner
Mathematics Ancillary Materials
This collection of student and instructor materials for Mathematical Modeling contains lesson plans, lecture slides, homework, learning goals, and student notes for the following major topics:
 Linear Functions
 Quadratic Functions
 Exponential Functions
 Logarithmic Functions
This is a materials update for a collection of materials created for a Round Nine ALG Textbook Transformation Grant.
Remote Learning Assignment, Ryan Schneider
A New Asymmetric Encryption Algorithm Involving Both Group And Number Theory: Derivation Of The Lucente Stabile Atkins Cryptosystem Using Gauss’S Generalization Of Wilson’S Theorem, Francesco Lucente Stabile, Carey Atkins, Arthur James Rosenthal
A New Asymmetric Encryption Algorithm Involving Both Group And Number Theory: Derivation Of The Lucente Stabile Atkins Cryptosystem Using Gauss’S Generalization Of Wilson’S Theorem, Francesco Lucente Stabile, Carey Atkins, Arthur James Rosenthal
Research Day
Our research led to the discovery of an asymmetric encryption algorithm that follows Kerckhoff's principle and relies on a specific case of Gauss's Generalization of Wilson's Theorem. Unlike prime factorization based algorithms, the eavesdropping cryptanalyst has no indication that he has successfully decrypted the cyphertext. For this reason, we aim to show that this algorithm is not only more secure than existing asymmetric algorithms, but it has the potential to be significantly computationally faster.
The Mathematics Behind Illusion, Kouassi Adou
The Mathematics Behind Illusion, Kouassi Adou
All Zyzzogeton Presentations
Historically, research on optical, or visual illusions has belonged mainly to the field of psychology. However, in the 1980s, Professor Kokichi Sugihara, Meiji University, Japan, introduced a mathematical approach to design and classify 3dimensional optical illusions. This presentation provides a sample of the mathematics behind some types of visual illusions.
Beginning Algebra Made Useful, Charlene E. Beckmann
Beginning Algebra Made Useful, Charlene E. Beckmann
Open Textbooks
Beginning Algebra Made Useful addresses the needs of learners to make sense of algebra by quantifying and generalizing everyday occurrences such as commuting to work, buying gas or pizza, and determining the better deal. It requires learners to actively engage with algebraic concepts through physical and thought experiments in ways that help them connect ideas, representations, and contexts, and solve problems that arise in their daily lives. The text helps learners grow their brains and develop growth mindsets as they learn algebra conceptually. Problem sets continue the process, extending work begun in each lesson, applying new understandings to new contexts ...
Video Case Materials And The Development Of Collective Professional Knowledge, Victoria D. Bonaccorso
Video Case Materials And The Development Of Collective Professional Knowledge, Victoria D. Bonaccorso
Theses, Dissertations and Culminating Projects
The dynamic nature of teaching means that teachers are making inthemoment decisions on a daily basis. Video case study professional development can be used as a way to provide teachers an opportunity to analyze real teaching scenarios to prepare to make these decisions in practice. While work has been done to reveal the effectiveness of using case studies as a teaching tool, there has not been research conducted to determine if video case studies can be used to foster the development of collective professional knowledge. This study utilizes a particular professional development model using video case studies grounded in the ...
An Evolutionary Approach To Crowdsourcing Mathematics Education, Spencer Ward
An Evolutionary Approach To Crowdsourcing Mathematics Education, Spencer Ward
Honors College
By combining ideas from evolutionary biology, epistemology, and philosophy of mind, this thesis attempts to derive a new kind of crowdsourcing that could better leverage people’s collective creativity. Following a theory of knowledge presented by David Deutsch, it is argued that knowledge develops through evolutionary competition that organically emerges from a creative dialogue of trial and error. It is also argued that this model of knowledge satisfies the properties of Douglas Hofstadter’s strange loops, implying that selfreflection is a core feature of knowledge evolution. This mix of theories then is used to analyze several existing strategies of crowdsourcing ...
Exploring Pedagogical Empathy Of Mathematics Graduate Student Instructors, Karina Uhing
Exploring Pedagogical Empathy Of Mathematics Graduate Student Instructors, Karina Uhing
Dissertations, Theses, and Student Research Papers in Mathematics
Interpersonal relationships are central to the teaching and learning of mathematics. One way that teachers relate to their students is by empathizing with them. In this study, I examined the phenomenon of pedagogical empathy, which is defined as empathy that influences teaching practices. Specifically, I studied how mathematics graduate student instructors conceptualize pedagogical empathy and analyzed how pedagogical empathy might influence their teaching decisions. To address my research questions, I designed a qualitative phenomenological study in which I conducted observations and interviews with 11 mathematics graduate student instructors who were teaching precalculus courses at the University of Nebraska—Lincoln.
In ...
Computational Comparison Of Exact Solution Methods For 01 Quadratic Programs: Recommendations For Practitioners, Richard J. Forrester, Noah HuntIsaak
Computational Comparison Of Exact Solution Methods For 01 Quadratic Programs: Recommendations For Practitioners, Richard J. Forrester, Noah HuntIsaak
Faculty and Staff Publications By Year
This paper is concerned with binary quadratic programs (BQPs), which are among the most wellstudied classes of nonlinear integer optimization problems because of their wide variety of applications. While a number of different solution approaches have been proposed for tackling BQPs, practitioners need techniques that are both efficient and easy to implement. We revisit two of the most widely used linearization strategies for BQPs and examine the effectiveness of enhancements to these formulations that have been suggested in the literature. We perform a detailed largescale computational study over five different classes of BQPs to compare these two linearizations with a ...
College Of Liberal Arts And Sciences_Mt 101 & Wgs 101_Covid19 Response, Kevin Roberge
College Of Liberal Arts And Sciences_Mt 101 & Wgs 101_Covid19 Response, Kevin Roberge
College of Liberal Arts and Sciences
Email from Kevin Roberge, Adjunct Mathematics Faculty, University of Maine to the Provost Office regarding how he had incorporated the COVID19 pandemic into his courses MAT 101 and WGS 101.
Application Of BlackScholesMerton Model In Option Pricing And Intangibles Assets, Giang NguyenHoang
Application Of BlackScholesMerton Model In Option Pricing And Intangibles Assets, Giang NguyenHoang
Mathematics & Computer Science Student Scholarship
Major: Finance and Mathematics
Faculty Mentor: Dr. Joseph Shomberg, Mathematics
The BlackScholes model was developed by Fisher Black and Myron Scholes in the 1970s to price stock options. Since then the model has been suited to price socalled intangible assets such as trademarks and patents. In this paper, we investigate the related BlackScholesMerton model and the relevant characteristics of patents in order to associate patents as real options. After describing patents as options, we apply the BlackScholesMerton model to the valuation of the intangible assets. Special attention is given to modeling volatility and the cost of delay in order to ...