William’s current tutoring subjects are listed at the left. You
can read more about
William’s qualifications in specific subjects below.
Algebra 1 is an introduction to solving math problems with a variable which is unknown until the laws of algebra are applied. Time is spent reviewing these laws and then working problems applying these laws. Continued practice is required to become proficient in solving the linear equations that occur in Algebra 1. Another part of Algebra 1 is to solve word problems wherein the student is required to setup the linear equation based on the information given in the problem. A crucial part of the students success is that he commits himself to practice solving the problems. I am always available by phone or email to assist the student if a problem becomes to difficult to solve.
Algebra 2 consists of eleven topics, some of which overlay previous topics in Algebra 1, Trigonometry, and Geometry.
These topics include the following: Fractions; Introduction to variables;Decimals;Negative numbers; Exponents and Roots; Factoring; Linear Equations; Word Problems; Linear inequalities; Quadratic Equations and Word Problems that require use of quadratic equations; Logarithms and graphical solutions.
Math tutoring begins with addition, subtraction, multiplication, and division and word problems. We then start fractions and make sure that you understand how to do the 4 operations shown above also knowing how to use the(+) and (-) signs. In addition we learn how to solve ratio proportion and percent problems and of course word problems and solving algebra problems.
The verbal questions begin with your understanding of English grammar including nouns,verbs adverbs and adjectives and understanding words in context. I will provide mini tests which include ASVAB problems to determine your progress.
If you encounter problems on the home work you may call me for assistance without additional charges. Of course there may be a limit to this.
I begin with a review of elementary math up through the 3rd grade. This includes addition, subtraction, multiplication and division. If the student is weak in any of the four areas of arithmetic, especially negative numbers or multiplication tables we will work to strengthen these weaknesses.
My tutoring sessions are a minimum of 1 and 1/2 hours or 2 hours. In each tutoring session I emphasize what we are trying to learn. I than pose several problems and finally I work with the student to solve the problems. After I am assured that the student understands this process, he will be given homework problems to solve and turn into me prior to his next tutoring session. If the student cannot solve a certain problem. He or his parent may call me to resolve the problem. At all times I am courteous, patient and encouraging to the student and I do remember the problems I had with math when I was in the 3rd and 4th grades.
Geometry is a wonderful subject to study.It involves the study of circles; cubes;rectangles; triangles to resolve the perimeters, surface areas, and how the Pythagoram Theorem
is used in some of these calculations. Learning geometry provides the student how to understand real life objects and use this information to solve real life problems. I would like your daughter to become motivated about math and gain the self confidence that comes with getting good grades.
The verbal questions on the GRE include comprehension questions on both long and short passages. There are questions on both direct statements and inferences (your interpretation of the readings). Also included are sentence completion questions (inferential); word analogies and antonyms. Analytical writing skills may or may not be tested depending on the latest revision of the GRE.
Quantitative problems include solving algebraic problems and problems involving triangles, circles, fractions, exponential problems, data sufficiency problems. Neither calculus nor trigonometry problems are involved.
I would like to be listed as a tutor for the Praxis Test, Math portion only. I have taught at the elementary, middle, high school and community college levels. I currently have two separate Praxis Study Guides-"Cracking The Praxis" guide published -by The Princeton Review and another Guide by ETS. I am totally competent in all the math problems that the Praxis TEST presents. I also tutor for other standardized tests including the SAT and GRE and my students have shown marked improvement following tutoring sessions.
Pre-algebra is where you learn to solve problems with unknown variables. This includes problems in simple geometry such as squares, triangles, cubes, circles, parallel lines with a transversal. All the geometrical figures have properties such as perimeters, areas, circumferences where you need to use the Pythagorean Theorem and circle equations.
Pre-Calcaulus is based on elementary arithmetic including algebra (solving equations and inequalities); geometry, including perimeters, areas, volumes of cones, squares, rectangles circles, spheres and triangles. Right triangles are especially emphasized. Graphical solutions of many different equations need to be shown. Logarithms and how to add, subtract, multiply and divide are emphasized. If time permits we can work with complex numbers which involve solving problems with an imaginary component; i.e (-1)^1/2= i and therefore (-1)^1/2 (-1)^1/2= i^2= -1. There are of course other topics but we will concentrate on the basics.
I tutor only in two hour sessions and I have observed over the years that the students who progress the fastest and retain the most schedule two-2 hour sessions per week. I am available to tutor from 10:00 a.m. to 8:00 p.m. I will tutor from 10:00 a.m. to 5:00 p.m. on Saturday and Sunday. I prefer to tutor in the local library or Panera Bread. I will tutor in your home as long as there is a responsible adult present during the tutoring session.
SAT Math problems revolve around solving problems associated with triangles, circles, rectangles, trapezoids and
three dimensional problems; spheres, cubes and pyramids.
These problems involve calculating unknown quantities such as area, perimeter, angles, or more complex areas generated between a rectangle and an inscribed circle. Also problems involved with 4-5-6-7-8 sides (quadrilaterals) and infinite series, as well as ratios, proportion, and percents. There are many additional types of problems which require critical thinking.
Trigonometry includes several topics concerning triangles. These topics includes the angles in triangles and ratio of the sides. Special emphasis is placed on right triangles. Other topics include perimeter and area calculation, graphs of the six circular functions, logarithms, trigonometric identities, inverse trigonometric, complex functions and polar coordinates.