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John Carroll University

Theses/Dissertations

2015

Mathematics

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Course Proposal For A Mathematical Modeling Course In A High School Curriculum, Thomas P. Marlowe Jul 2015

Course Proposal For A Mathematical Modeling Course In A High School Curriculum, Thomas P. Marlowe

Masters Essays

In the winter of 2015, I will be piloting a course on mathematical modeling at Hawken School, an independent high school in Gates Mills, OH. As I develop all elements of this course, such as lesson plans, assessments, and rubrics, I will be mindful of factors such as the newly adopted Common Core mathematics standards, the variety of student backgrounds in such a course, and how various mathematical societies and organizations such as SIAM, MAA, and COMAP can help in implementing it. However, there is one basic question driving my interest in and design of this course: “when am I …


Infinity In The High School Mathematics Classroom, Alyssa Hoslar Jul 2015

Infinity In The High School Mathematics Classroom, Alyssa Hoslar

Masters Essays

No abstract provided.


Mittag-Leffler Therorem, Elizabeth O. Agyeman Jul 2015

Mittag-Leffler Therorem, Elizabeth O. Agyeman

Masters Essays

No abstract provided.


Hurwitz's Theorem, Marianna Malek Apr 2015

Hurwitz's Theorem, Marianna Malek

Masters Essays

No abstract provided.


Mathematical Explorations Of Card Tricks, Timothy R. Weeks Apr 2015

Mathematical Explorations Of Card Tricks, Timothy R. Weeks

Senior Honors Projects

In this project, we explore various mathematical topics as they apply to an assortment of card tricks. We will focus on an examination of theorems applied to the manipulation of cards in an attempt to prove why certain card tricks work. These theorems utilize abstract algebra, probability, number theory, and combinatorics. Many tricks can be explained this way, instead of singularly by sleight of hand or other “magical” methods. We will rigorously prove the theorems and principles that explain these concepts, focusing primarily on the card tricks and examples presented in Mathematical Card Magic by Colm Mulcahy (2013).