Math tutoring and math classes are available for elementary arithmetic through college calculus and statistics, for all students from children through adults. We can use the books and materials followed by your teacher and school, or use ones I select and recommend.

Contact Michael today: by email at MichaelGold@GoldAMS.com or by phone at 281-770-2276.

Contact us to hold private classes or homeschool classes — in private, for a group, for a company — for the following topics:

**Course description:** we will cover the concepts of arithmetic in each sequence with stress on practical application, deriving concepts, as much as possible, from real-life examples, and reasoning things out.

We will make sure students know how and why something is true. This is critical for higher mathematics, science, finance, accounting, household calculations, and more.

We will cover addition, subtraction, multiplication, division, and more, as appropriate for the age group.

Although I can work from any text book here are two that I recommend:

1. Ray’s Arithmetic by Joseph Ray, available online through various sources such as Amazon.com, Mott Media, or free on sites such as Google Books

**Course description:** we will cover the concepts of algebra with stress on how we know things and on practical application, which are the more important things to get out of algebra.

Learning derivations and explanations of algebraic concepts teaches us how to reason and gives us confidence in our ability to understand; not learning the derivations and explanations short-circuits the mind, keeps students from developing the ability to think critically, intelligently, and imaginatively, and stifles their self-confidence.

We will cover the real numbers, algebraic expressions, linear equations in one and two variables, systems of equations, inequalities, polynomials, functions, exponents, powers, roots, quadratic equations, rational expressions/equations, radical expressions/equations, and graphing.

Time permitting, maybe also other topics like the conic sections, exponential functions, logarithmic functions, probability and statistics.

Possible texts:

1. Introductory Algebra By Keedy & Bittinger, Addison-Wesley Publishing Company, (c) Addison-Wesley Publishing Company, Inc.

2. Elementary Algebra by Larson & Hostetler, Houghton Mifflin Company, (c) Houghton Mifflin Company

3. Algebra: Structure and Method by Dolciani, Brown, Ebos & Cole, Houghton Mifflin Company, (c) Houghton Mifflin Company

**Course description:** We will cover the concepts of algebra with stress on how we know things and on practical application, which are the more important things to get out of algebra.

Learning derivations and explanations of algebraic concepts teaches us how to reason and gives us confidence in our ability to understand; not learning the derivations and explanations short-circuits the mind, keeps students from developing the ability to think critically, intelligently, and imaginatively, and stifles their self-confidence.

We will cover the real numbers, linear equations, systems of equations, matrices, inequalities, polynomials, functions, rational expressions/equations/functions, exponents, powers, roots, quadratic equations, complex numbers, graphing, the conic sections, exponential functions and logarithmic functions.

Time permitting, maybe also other topics like sequences, series, and probability and statistics.

Possible texts:

1. Intermediate Algebra By Keedy & Bittinger, Addison-Wesley Publishing Company, (c) Addison-Wesley Publishing Company, Inc.

2. Algebra 2 by Hall & Fabricant, Prentice Hill publishers, (c) Prentice-Hall, Inc.

3. Intermediate Algebra by Cynthia Young, John Wiley & Sons publishers, (c) John Wiley & Sons, Inc.

4. Intermediate Algebra by Larson & Hostetler, Houghton Mifflin Company, (c) Houghton Mifflin Company.

**Course description:** we will cover the concepts of geometry with stress on how we know things, on proof, and on practical application, which are the more important things to get out of geometry (more important than just memorizing formulas or doing algebra).

They teach us how to reason, which is something we can and should take with us in all areas of life. Formulas we can look up in books or on our computers.

Of course, we cannot learn the “how” or learn proof without knowing any content.

We will cover all the elements of classic geometry: triangles, parallel and perpendicular lines, polygons, area, perimeter, circles, arcs, proportion, similarity, trigonometry, axioms, constructions.

Possible texts and workbooks:

1. Geometry by Jurgensen, Jurgensen & Brownm, McDougall Littel publishers, (c) Houghton Mifflin Company

2. Geometry for Enjoyment and Challenge by Rhoad, Milauskas, and Whipple, McDougall Littel puslishers, (c) McDougall, Little & Company

3. Polygons by Steck-Vaughn School Supply (Harcourt Publishers), ISBN 0-7398-2931-9

4. Solids by Steck-Vaughn School Supply (Harcourt Publishers), ISBN 0-7398-2932-7

5. How To Succeed in Geometry by Teacher Created Resources, ISBN 978-1-57690-958-4

6. Measurement & Geometry by Steck-Vaughn School Supply (Harcourt Publishers), ISBN 1-4190-0437-9

**Course description:** we will consider precalculus for what it is: a development of algebra and geometry, and we will learn derivations and explanations of concepts to teach students how to reason and to give them confidence in their ability to understand.

Not learning the derivations and explanations short-circuits the mind, keeps students from developing the ability to think critically, intelligently, and imaginatively, and stifles their self-confidence.

The course will include functions, graphing, trigonometric functions, applications of trigonometry, trigonometric identities, trigonometric equations, polynomial functions, inequalities, exponential functions, logarithmic functions, polar coordinates, conic sections, matrices, sequences, and series.

Time permitting, maybe also other topics like probability, statistics, three-dimensional vectors, matrix transformations, and limits.

Possible texts:

1. Precalculus by Foerster, Key Curriculum Press, (c) Key Curriculum Press

2. Precalculus Mathematics by Demana, Waits, & Clemens, Addison-Wesley publishers, (c) Addison-Wesley Publishing Company, Inc.

3. Advanced Mathematics: A Precalculus Approach by Ryan, Doubet, Fabricant & Rockhill, Prentice Hall publishers, (c) Prentice-Hall, Inc.

4. Trigonometry by Smith & Hanson, Word Book Company Publishers, (c) World Book Company

5. Trigonometry Refresher by Klaf, Dover Publications, (c) A. Albert Klaf

**Course description:** we will develop calculus from its geometric and physical bases.

Calculus is a very practical subject — it was developed to solve problems in physics and astronomy — and should be taught accordingly.

This can be taught as a one or two year course, depending on the depth and course content one wants to cover.

The course will include (depending on scope and content needed) limits, continuity, derivatives, integrals, exponential and logarithmic functions, transcendental functions, techniques of integration, indeterminate forms, improper integrals, infinite series, analytic geometry, plane curves, polar coordinates, vectors, solid geometry, vector-valued functions, partial derivatives, multiple integrals, vector calculus, differential equations.

Possible texts:

1. Calculus by Swokowski, Prindle, Weber & Schmidt publishers, (c) PWS Publishers

2. Caculus by Larson, Hostetler, & Edwards, D. C. Heath and Company, (c) D. C. Heath and Company

**Course description:** we will start from the inductive basis of statistics and work our way into statistics proper.

Satistics is based in induction and categorization, and hence we should start there.

We will cover statistical measures of data, statistical description of data, probability, graphing, distributions of random variables, discrete and continuous probability distributions, the normal distribution, sampling theory, experiments, estimation of parameters, confidence intervals, tests of hypotheses, regression and correlation.

Time permitting, maybe also other topics like analysis of variance, chi-square tests, and nonparametric statistics.

Possible texts:

1. Elementary Statistical Concepts by Walpole, Macmillan Publishing Co., Inc., (c) Ronald E. Walpole

2. Introduction to Statistics by Walpole, Macmillan Publishing Co., Inc., (c) Ronald E. Walpole

3. Intro Stats by DeVeaux and Velleman, Addison-Wesley publishers, (c) Pearson Education, Inc.

4. The Practice of Statistics by Yates, Moore, & McCabe, W. H. Freeman and Company publishers, (c) W. H. Freeman and Company

“Jack made a 100 on his major test today!!!!! He is so proud! Thanks so much!!!” —Joy R, parent of high school student

“On my geometry quiz I got a 98% and it went really well and I felt I knew the info. Thank you for all the help and for assisting me when I did not understand something.” —Casey C, student at an elite private high school

“You Sir, are a miracle worker…. Can’t believe Tay got an 83 on Calc test!!! Thank you SO much!” —Adrienne W, mother of a college student

“I really did learn more than geometry and math taking classes with you. I learned to reason and use logic to start solving things in everyday life. It’s pretty useful at work when I use reasoning to find root causes, and to find and fix problems. You teach people how to THINK!” —Dylan T, ex-high school student (homeschooled) now in his 20s

Contact Michael today: by email at MichaelGold@GoldAMS.com or by phone at 281-770-2276.

“My average is actually a 96 right now and I made a 94 on the last quiz. We’re still doing conics.” —Kevin B, high school student

“Also, she just called me & said she made a 92 on her math test that she took right before spring break. :)) I’m very happy for her. THANK YOU! It would NOT be possible without your support!!!! I don’t know what she’s going to do at college!!!” —Melissa S, parent of a student at an elite private high school

“Oh! I just found out I made a 93 on the [AP Statistics] project-YAY!” —Taylor R, student at an elite public school

“Michael are you ready: important Maths quiz score 81 and less important quizlet 100!!!! Yeah!!” —Corinna C, parent of high school student

“You’re one heck of a tutor. College is a lot easier due to the way you taught me how to think.” —Josh P, ex-high school student

“Mr. Gold I have to say without a doubt you are the smartest teacher I have ever met.” —Alec K, high school student

“I hope more kids go to you for tutoring; you made me enjoy learning again.” —Jacob L, ex-high school student

“[The twins] did well on [their geometry final]. Got 90+.” —Mythili R, parent of high school students

“I agree with you 100%. [Madison] has gone from a D/C student to a B/A student. She is knocking it out of the park right now, not just by getting the work done but by also doing it correctly. It is nice to have her as a student I can rely on to do her work and know how to do it. I know that she has tried to share her story with others to encourage them to just try and do their work, that Algebra is not as hard as they are making it out to be and I appreciate that. I hope she finishes up the year strong.” —Mr. M, high school teacher of Madison S; quote from emailed note from teacher to parent

Contact Michael today: by email at MichaelGold@GoldAMS.com or by phone at 281-770-2276.

A student of mine, Tyler, made a 96 on his algebra final exam at one of the top private schools in Texas, and a 98 for the year (2016-2017). That’s top, as in top 10 in Texas and top 100 in the entire nation.

Working with an algebra 2 student, JE, only a few times, I helped him to bring his grade up from an F to a C, and to earn a B on his midterm!

Another student, Hope S, made a 105 (of 115) on her college stat test. The test covered ANOVA (https://en.wikipedia.org/wiki/Analysis_of_variance), a harder topic in intro courses — and she had to do all the calculations by hand!!

A student I tutor, CD, earned a 101 on a geometry test at a private school in Houston.

With my help, TL earned a 91 on an honors Algebra 2 quiz at one of the top private schools in Texas, and a 95 on an algebra 2 test.

Contact Michael today: by email at MichaelGold@GoldAMS.com or by phone at 281-770-2276.