Mailing Address:

PENN STATE BEHREND

1 PRISCHAK BUILDING

ERIE PA 16563

## Biography

I started my career teaching high school students but while in graduate school, I worked as an professor for two colleges in New York City.

After graduate school, I moved out of my hometown of Greenwich, CT to Erie, PA where I work as a full-time mathematics lecturer and as a textbook editor. Fairfield University is my alma mater where I graduated in 2008 with a bachelor of science in pure mathematics with a minor in education and in 2010 with a master of science in pure mathematics and financial mathematics. I currently teach a mix of courses such as College Algebra I, College Algebra II with Analytic Geometry, The Mathematics of Money (financial mathematics), and Technical Calculus (for Business majors), and Linear Algebra (for engineers). I'm also actively perusing research in Cayley Color Graphs, Markov Chains, Group Theory, the role of mathematics in money and in music, mathematics education, and slide rules. Lastly, I’m the 362nd Chapter Adviser of Pi Mu Epsilon for Penn State Erie.

Outside of teaching and textbook editing, I enjoy horseback riding, playing golf, playing guitar both acoustic and electric (Jimmy Page is my guitar hero!!), reading books (James Patterson is my favorite!!), swimming, jogging, and painting. I haven't painted in a while but when I do, I paint landscapes using oils.

## Teaching

### Teaching Specialties

- Algebra
- Calculus
- Geometry
- Remedial Mathematics
- Statistics
- Mathematics Education
- Financial Mathematics

### Teaching Statement

Teaching is a profession where one is involved in shaping the future of our society. With every course I teach I have three goals I want to achieve by the end of the semesters:

- Make sure students have a clear understanding of all concepts
- Be able to see how mathematics plays a role the real world through the presentation of applications
- Be able to help students realize they can do anything they put their minds to.

We as teachers must motivate students to learn in order to keep pace to an ever-changing world. In mathematics, I stress the ability to reason with logic and to think analytically and precisely in the solving of mathematical problems. I encourage students to question how mathematical thinking can be applied to problems in both pure and applied science, economics, and architecture.

## Research Interests

- Slide Rules
- Group Theory
- Cayley Color Graphs
- Markov Processes
- Mathematics Education
- Textbook Editing and Writing

## Research Interests

Cayley Color Graphs, history of mathematics, Group Theory, Mathematics Education, textbooks, online, and hybrid learning.

## Publications

Pre-Calculus, Calculus, and Beyond - November 28, 2021

Functional Linear Algebra - November 1, 2021

Mathematics Instructional Practices in Singapore Secondary Schools - October 3, 2021

Mathematics (Education) in the Information Age - August 13, 2021

Common Sense Mathematics - June 7, 2021

Multivariable Calculus with Mathematica - March 21, 2021

Linear Algebra for the 21st Century - January 3, 2021

Interdisciplinary Design of Game-based Learning Platforms - November 27, 2020

Critical, Transdisciplinary and Embodied Approaches in STEM Education - September 13, 2020

National Reflections on the Netherlands Didactics of Mathematics - May 24, 2020

Selected Exercises in Algebra, Volume 1 - April 12, 2020

Inspiring Mathematics: Lessons from the Navajo Nation Math Circles - February 16, 2020

Interdisciplinary Perspectives on Math Cognition - January 4, 2020

Affect and Mathematics Education - November 9, 2019

The Creativity Code: Art and Innovation in the Age of AI - October 20, 2019

A Problem-Solving Approach to the Introduction to Ordinary Differential Equations for Undergraduate Students at an American Two-Year College - September 1, 2019

A Problem-Solving Approach to the Introduction to Ordinary Differential Equations for Undergraduate Students at an American Two-Year College - August 9, 2019

Collaborators: Ben Fine, Author; Gerhard Rosenberger, Author

The Impact of Mathematics and Mathematicians - August 9, 2019

Collaborators: Ben Fine, Author; Gerhard Rosenberger, Author

Isaac Newton: The Asshole Who Reinvented the Universe - April 16, 2019

The Mathematics of Everyday Life - April 15, 2019

Linear Algebra - March 8, 2019

Matrix Theory and Applications for Scientists and Engineers - February 24, 2019

K-12 Mathematics Education in Israel: Issues and Innovations - January 30, 2019

The Lvov-Warsaw School. Past and Present - December 17, 2018

Numerical Linear Algebra: An Introduction - December 4, 2018

The Continued Exercise of Reason: Public Addresses by George Boole - November 29, 2018

Teaching Children to Love Problem Solving: A Reference from Birth to Adulthood - September 18, 2018

Issues and Trends in Current Math Classrooms - September 14, 2018

Collaborators: Rachel Ayieko, Author; Dushimimana Jean Claude, Author; Penina Kamina, Author; Enock Obuba, Author; Innocente Uwineza, Author

Rogue Waves - July 24, 2018

Matrix Analysis and Applications - April 27, 2018

Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds - March 17, 2018

Never Split Tens! - January 15, 2018

Matrix Algebra: Theory, Computations, and Applications in Statistics - January 2, 2018

Retaining Millennial Students. Are Students Studying Effectively After First-Year Seminar?: Millennial College Students and Study Skills, Global Adaptations of Community College Infrastructure - January 18, 2018

A First Course in Linear Algebra - December 1, 2017

Mathematics Teacher Preparation in Central America and the Caribbean - November 2, 2017

On the Fundamental Existence and Uniqueness Theorem - September 10, 2017

Collaborators: Antonio Mastroberardino, Author; Ben Fine, Author

An Introduction to Malthematical Finance with Applications - August 18, 2017

Digital Technologies in Designing Mathematics Education Tasks - May 8, 2017

And the Rest is Just Algebra - April 12, 2017

Uses of Technology in Lower Secondary Mathematics Education - March 11, 2017

Teaching and Learning About Whole Numbers in Primary School - February 17, 2017

Supporting Success through Educational Technology Innovations: Prompting Students' Self-Regulated Learning - February 1, 2017

Collaborators: Rayne Sperling, Primary Author; Ben Brautigam, Contributor to Edited Volume; Kelly Butzler, Contributor to Edited Volume; David Falvo, Contributor to Edited Volume; Amy Garbrick, Contributor to Edited Volume; Simon Hooper, Contributor to Edited Volume; Justin Miller, Contributor to Edited Volume; Bart Pursell, Contributor to Edited Volume; Crystal Ramsay, Student Author; Sherwyn Saul, Contributor to Edited Volume; Carolyn Strickland, Contributor to Edited Volume

International Comparative Studies in Mathematics - January 12, 2017

The Mathematics Education of Prospective Secondary Teachers Around the World - January 31, 2017

Instructor's Resource Manual - January 2, 2017

Chapter 6: Geometry - January 2, 2017

Transitions in Mathematics Education - December 30, 2016

Applications of Algebra and Geometry to the Work of Teaching - November 29, 2016

Motivating Mathematics: Engaging Teachers and Engaged Students - October 13, 2016

On Collaboration: An Important Skill for Mathematics Educators for the 21st Century, IMHOTEP: African Journal of Pure and Applied Mathematics - September 7, 2016

Collaborator: Dickson Owiti, Co-Author

The Science Behind a Flipped Classroom, IMHOTEP: African Journal of Pure and Applied Mathematics - September 7, 2016

Collaborator: Array Array

Enabling Students in Mathematics: A Three-Dimensional Perspective for Teaching Mathematics in Grades 6‒12 - June 6, 2016

Origami 6: I-II: Mathematics - May 17, 2016

The Perfect Bet: How Science and Math are Taking the Luck Out of Gambling - February 10, 2016

Teaching Millennials how to Study Under the 21st Century Sky, Pyrex Journal - February 11, 2016

Collaborator: Array Array

Group Presentations, Cayley Graphs, and Markov Processes, World Scientific Press - January 2, 2016

Chapter 10 Infinite Series - January 2, 2016

Chapter 14 Differentiation in Several Variables - January 2, 2016

Chapter 2 Limits - January 2, 2016

College Calculus: A One-Term Course for Students with Previous Calculus Experience - November 27, 2015

Linear Algebra: Pure & Applied - November 11, 2015

Calculus with Early Transcendentals - August 17, 2015

Mathematical Magic - June 9, 2015

Mathematics and Transition to School: International Perspectives - April 24, 2015

The Fourth Dimension: Toward a Geometry of Higher Reality - February 26, 2015

Explorations of Mathematical Models in Biology with MATLAB® - December 29, 2014

The Need for Effective Study Skills under the 21st Century Sky: A Case Study of USA and Kenya, IMHOTEP: African Journal of Pure and Applied Mathematics - November 3, 2014

Collaborator: Dickson Owiti, Co-Author

Concept Summary for Geometry & Systems of Linear Equations - September 1, 2014

Concept Summary for Rational Expressions - September 1, 2014

Concept Summary for Triangles & Trigonometry - September 1, 2014

Concept Summary for Fractions & Matrices - September 1, 2014

Golf on the Moon: Entertaining Mathematical Paradoxes and Puzzles - August 18, 2014

Prospective Mathematics Teachers' Knowledge of Algebra - July 29, 2014

Instructor's Resource Manual - July 1, 2014

Teaching Mathematical Modelling: Connecting to Research and Practice - May 10, 2014

Calculus

Elementary Algebra, Chapter 9 Supplemental Exercise Video Solutions - January 1, 2014

Intermediate Algebra, Chapter 6 Supplemental Exercise Video Solutions - January 1, 2014

Algebra & Trigonometry, Chapter 6 Supplemental Exercise Video Solutions - January 1, 2014

Elementary Algebra, Chapter 8 Supplemental Exercise Video Solutions - January 1, 2014

Elementary Algebra, Chapter 5 Supplemental Exercise Video Solutions - January 1, 2014

Elementary Algebra, Chapter 1 Supplemental Exercise Video Solutions - January 1, 2014

How Math Works: A Guide to Grade School Arithmetic for Parents and Teachers - December 3, 2013

Number, Shape, and Symmetry: An Introduction to Number Theory, Geometry, and Group Theory - August 26, 2013

Instructor's Resource Manual - July 1, 2013

Calculus of One Variable - April 16, 2013

Calculus for Scientists and Engineers - December 11, 2012

Applied Matrix Algebra - April 14, 2012

Elementary Linear Algebra Solutions Writer - January 31, 2012

Math and You Solutions Manual - July 1, 2011

## Education

MS, Mathematics, Fairfield University

BS, Mathematics, Fairfield University