All of
William’s current tutoring subjects are listed at the left. You
can read more about
William’s qualifications in specific subjects below.
Algebra 1
I have tutored and/or taught Algebra I for over 40 years. While majoring in math in college, I often helped fellow students who were struggling with math. The math courses I took in college included Calculus, Advanced Calculus, Linear Algebra, and Abstract Algebra. During my years as a graduate student at Duke University, I tutored undergraduates and students in the MBA program.
I am certified in Secondary Math in the State of Texas and have taught Algebra I in the Irving ISD. Topics usually covered in Algebra I include number systems, properties of real numbers, order of operations (PEMDAS), prime numbers and factoring, exponents, simplifying expressions, solving equations and inequalities of one variable, properties of linear equations and inequalities, solving systems of linear equations and inequalities, introduction to quadratic equations and inequalities.
Algebra 2
I have tutored and/or taught Algebra II for over 40 years. While majoring in math in college, I often helped fellow students who were struggling with math. The math courses I took in college included Advanced Calculus, Linear Algebra, Complex Analysis and Abstract Algebra. During my years as a graduate student at Duke University, I tutored undergraduates and students in the MBA program.
I am certified in Secondary Math in the State of Texas and have taught Algebra II in the Irving ISD. Topics usually covered in Algebra II include properties of real numbers, properties of linear equations and inequalities, solving systems of linear equations and inequalities, determinants and matrices, introduction to complex numbers, exponential and logarithmic functions, rational expressions, polynomials, conic sections, probability, introduction to sequences and series.
Chemistry
I have enjoyed chemistry since I was in elementary school and received a chemistry set for my birthday. When I was finally able to take chemistry in high school, I took to it like a duck to water. I excelled in A. P. Chemistry and placed out of first semester chemistry in college. Although my interests in math eventually won out over chemistry when I had to declare a major, I have never lost my interest in chemistry. I now study biochemistry and nutrition as one of my hobbies.
In general, the topics covered in chemistry include, but are not limited to, the following: the history of chemistry, measurement and the metric system, the mole concept, chemical reactions and stoichiometry, energy and chemical reactions, states and properties of matter, the periodic table, chemical bonding, atomic and molecular structure, gas laws, concentrations of solutions, phase diagrams, intermolecular interactions, reaction kinetics, chemical equilibrium, modern acid-base theory, buffers, chemical thermodynamics, electrochemistry and nuclear chemistry. Topics may further include transition-metal chemistry, an introduction to organic chemistry and qualitative inorganic analysis.
Elementary (K-6th)
My wife and I educated all three of our children at home, teaching them all of the basic subjects plus art and music. They have all either graduated from or are currently working on their college degrees.
Geometry
Geometry was one of my favorite subjects in Junior High School. I had an awesome teacher who recognized my abilities and encouraged my explorations into the subject matter.
I am certified in Secondary Math in the State of Texas and have taught Geometry in the Irving ISD. Topics usually covered in Geometry include points, lines, angles, properties of angle formed by parallel lines with intersecting lines, triangles, the Pythagorean theorem, quadrilaterals, polygons, solving equations and inequalities involving geometric figures, properties of irrational numbers.
Linear Algebra
I began studying linear algebra during high school as part of my algebra II and pre-calculus classes. During college I continued my study with courses in linear algebra and abstract algebra. In those courses I worked with the properties of fields, vector spaces and linear subspaces. This included work with determinants, matrices, scalar operations, linear transformations, solutions of multi-variable systems of linear equations and functional analysis.
Public Speaking
I have over 40 years of experience with public speaking. I took courses in the subject in high school, college and graduate school. For 22 years I served as a pastor in various churches from different denominations, which required that I prepare at least one sermon on a weekly basis. In addition to sermons, I have spoken at a variety of events, at times with little advance notice.
Study Skills
Having struggled with ADD in my own life as a student, I understand the difficulties many have in developing good study skills. Since my wife and I educated our children at home, we were able to spend considerable time helping our children develop good study skills. When I began teaching math in the Irving ISD I worked with my students to help them with their overall academic progress which included helping them to improve their study skills. In fact I am currently working with one of the students I tutor to help him become more organized in his study habits. Developing good study skills involves learning good time management; using a calendar to schedule appropriate time to study and complete lessons, such as term papers; learning which subjects require daily practice and completion of homework versus those which can be addressed in blocks of time; developing techniques to overcome learning challenges such as ADD/ADHD, dyslexia, etc.; and learning the importance of developing overall discipline in one's life.
TAKS
I have been tutoring students since I was a student at Davidson College. This continued through my years as a graduate student at Duke University where I was part of the team that helped tutor student athletes. I am certified in Secondary Math in the state of Texas and have taught Algebra I, Geometry, Algebra II and Math Models in the Irving ISD. In that capacity I worked with students who had a wide range of abilities in math, both the math-challenged and the proficient. In addition, I worked extensively with students to improve their testing strategies to help with the TAKS test and the SAT. As a Secondary Math Teacher, an essential part of my job was preparing my students for the TAKS exam. We spent a significant amount of time each week with drills and testing strategies in order to help prepare them for the test. We also conducted practice testing sessions through the year to identify areas in which each student needed additional instruction. I am qualified to tutor for both the ACT and the SAT. Besides math, I have a strong background in reading, science and social studies, and I also tutored students in these subjects and helped prepare them for the TAKS exams in these areas.