I tutor occasionally in the Louisville area for fun and for a reasonable rate. Pre-Algebra, Algebra I, Algebra II, Geometry, Pre-Calculus, Trigonometry, Elementary Statistics, AP Statistics, AP Calculus, Business Calculus, Calculus I, Calculus II, Discrete Math, Applied Math, Number Theory, PSAT, SAT, ACT, GRE, COMPASS, Praxis.... [more]
Study skills are one of the things that I have promoted as a teacher, professor, and tutor. I have utilized many study strategies including: Reading Strategies, Mathematical Methods, and Study Team Strategies. I also studied this intensively while getting a Master of Arts degree in Secondary Education.
Discrete Math was one of my first math courses in college. As a math teacher, I taught Applied Math at the High School level, in which Graph theory and Combinatorics played a large role. I have published work online in many areas of Discrete Math. I have also written over 20 volumes of research in Discrete areas such as Arithmetic Functions, Number Theory, Partitions, and Unsolved Problems in Math.
Differential Equations is an integral part of Calculus. I have a College Board certificate for teaching AP Calculus (AB) and have experience teaching it at the High School level. I took Calculus I, II, III, and Complex Analysis as an undergraduate in college. I also have a working knowledge of Maple and experience with the TI 83/84+ and N-Spire calculators.
I took Linear Algebra while I was an undergraduate in college. I have taught the beginnings of Linear Algebra as a High School math teacher (matrix algebra, systems of equations, systems of inequalities, linear programming, etc). I have used concepts from linear algebra and its connection to graph theory in my personal research. I also have experience working with matrices and linear algebra on the graphing calculator and with Maple.
Logic is the science of evaluating and classifying statement forms. I have a broad understanding of logic and its many branches: Symbolic logic (of language), Programming logic, and Mathematical logic (prepositions, quantifiers, proofs, etc.) I have taken many courses that have given me an appreciation for the foundations of logic including: Introduction to Logic, Computer Programming, Discrete Math, and Numbers and Proof. I have also taken many advanced math courses that involve more detailed methods of proof including Abstract Algebra, Modern Geometry, Calculus III, and Complex Analysis.
I have a background in education and have taught at the High School and College level. I received a Master of Arts in Teaching with a major in Secondary Education. As a certified teacher, I had to prepare for many various teaching exams, including the Praxis PLT (Principles of Learning and Teaching). I have also passed four other Praxis subject area tests including: Math: Content Knowledge, Math: Models and Proof, Art: Art Making, and Art: Content Knowledge.
As a High School math teacher in Kentucky, I have experience teaching the new "Common Core" state standards for High School math. I was part of a team that helped see it through its transition phase from the old standards. In the process, I helped design and implement lessons that targeted specific standards. As a result, I gained a detailed understanding of what students are expected to know in school today.