Gold Math Services:
Professional Tutoring in Math and Logi
c

Arithmetic Through Calculus and Statistics
SAT   ACT   THEA   GRE   GMAT
Serving Houston with a rational perspective on education.

Working with all ages, elementary through adult.
"The Astronomer"
by Johannes Vermeer
I am available to tutor all levels of mathematics through calculus and statistics, to
work with home schoolers on math courses and curriculum, to teach logic and basic
science, or to prepare you or your child for the SAT, ACT, THEA, GRE or GMAT.

To make it easy for the student and to properly build the student's knowledge of
mathematics, I teach in a step-by-step manner. Material is organized logically to
make math easier for the student to grasp, and methods are always provided for
working problems. This organization and use of method should give students
reasoning skills that will help them in other areas of academics and in life. I also
provide applications of mathematics, to motivate the student and to show the power
of ideas.

The study of mathematics provides a unique opportunity to learn fundamental
thinking skills used in all areas of life, from science to law, from reading to analyzing
every-day claims. So, as it arises naturally in our tutoring sessions, I will use our time
to improve the student's logic and reasoning abilities.

You may contact me by email at
GoldMJ@aol.com or by phone at 281-770-2276.
I have years of experience teaching mathematics and helping students achieve
academic success, and look forward to helping your student.

Sincerely,

Michael Gold
Good News!!!
Lisa VanDamme, the founder and director of the VanDamme Academy in California, has an excellent lecture on the importance of hierarchy in eduction, which
you can listen to here:
Part 1, Part 2, and Part 3.

"Hierarchy" is the name of the fact that all human knowledge has structure: all knowledge is ordered in degrees of abstraction, starting from the first level of
sense perception: what we see and touch. We start with very basic conceptual knowledge -- such as "mom," "dad," "rock," "dog," "chair," "house," "one," "two"
-- and build from there. From "mom," "dad," some family members and some friends, we go on to learn the concepts "family," "friend," "city" and "town;" and
then on to learn concepts and theories regarding whole societies and history. From our first numbers, we go on to learn arithmetic, then algebra and geometry,
then calculus.

The fact that knowledge is hierarchical implies that we must learn the lower levels before we learn the higher levels. It would be absurd to teach calculus before
algebra, critical reading before elementary reading, or quantum physics before Newtonian mechanics. Likewise, it is inappropriate to teach "atoms" before the
basic chemical theory of gases, "energy" before the basic theories of machines and motion, or "rights" before any study of government.

In her lecture, Lisa discusses the nature of hierarchy, identifies ways hierarchy is "abused"/misunderstood in modern education (since "hierarchy" as a universal
aspect of human knowledge is a more recent philosophic discovery, it is not known in modern education or society), and discusses ways it should be used in a
proper, rational education, using anecdotes from her own school and her own experience.
©  2007 Michael Gold