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Hello,

My name is Bernie and I am currently an Ed.D. student at Boston University; I just finished my M.Ed. in the Spring of 2010. I have been a high school mathematics and chemistry teacher for 3 years, and I want to return to the classroom after finishing my Ed.D.

I have taught all levels of high school and middle school mathematics, and I have taught college-level chemistry; my undergraduate degree is from the University of Houston and it is in Chemistry and Mathematics.

I'm pretty straight forward, and I believe in the "I show, you watch; I do - you do; You do, I watch" theory of education - we will practice until I know you know how to do it.

I look forward to meeting you, and please feel free to ask any questions.

Bernie

Corporate Training:

GMAT, Statistics

Test Preparation:

Homeschool:

Business:

GMAT, GRE

Science:

Math:

ACT Math, Algebra 1, Algebra 2, Calculus, Discrete Math, Geometry, Prealgebra, Precalculus, SAT Math, Statistics, Trigonometry

English:

ACT English, ACT Reading

Algebra is really about formalizing mathematics into a coherent way of reading & writing it so it can be used to solve problems. Typically, algebra includes learning about the different kinds of numbers, learning how to write expressions and equations, and then learning to solve those equations. It's also when the infamous "word problem" gets introduced.

I love algebra, and I can help show you the tricks and tips that you need to make it easier and understandable.

Algebra is really about formalizing mathematics into a coherent way of reading & writing it so it can be used to solve problems. Typically, algebra includes learning about the different kinds of numbers, learning how to write expressions and equations, and then learning to solve those equations. It's also when the infamous "word problem" gets introduced.

Algebra II extends what is covered in Algebra I, and typically includes more quadratic equations, and introduction to advanced factoring, and more simultaneous equations. It's fun too!

I love algebra, and I can help show you the tricks and tips that you need to make it easier and understandable.

If algebra is the foundation of mathematics, then calculus is the foundation of physics, statistics, and applied mathematics. It is not an exaggeration to say that our modern world exists thanks to Liebnitz and Newton, who separately invented calculus at the same time.

Despite its seminal importance in the modern world, calculus introduces only one truly new concept: the limit. The other two major tools of calculus - differentiation and integration - are simply application of the limit to different kinds of problems. Mastering calculus requires a strong foundation of algebra and trigonometry, followed by an in-depth understanding of limits.

I love the foundational calculus courses - you can begin to see a myriad of applications in our modern world, things that go well beyond what you could do with basic algebra. I can help you if you're struggling - just drop me a line!

Chemistry is the study of how atoms and molecules work and act together. Many of today's wondrous things exist because of chemistry.

Much of introductory chemistry is an introduction to the periodic table and how these basic elements interact with one another. It took 3000 years for humans to figure out the relationships in the periodic table, so studying chemistry is a study of the history of human ingenuity.

Chemistry can be difficult, especially if a student is weak in math. I can help you through the math and the chemistry so you can succeed.

Discrete math means lots of things to lots of different people, but to me it means the study of properties of countable objects. One of the most interesting and practical applications of discrete mathematics is the study of gambling - keno, cards, and dice are just a few of the games subject to the analysis of discrete mathematics. I worked for 13 years in the casino industry before I became a math teacher, so I'm well aware of how to use discrete math to solve these problems.

There are all sorts of other topics in discrete mathematics, and it overlaps generously with other kinds of math: cryptography, some number theory, algorithmic design, topology, decision theory, probability and statistics, and modeling. I have some experience with many of these topics. Discrete mathematics is more easily defined by what it does not contain: it contains no continuous functions or curves, and no derivatives. Those who don't like calculus and functions often find discrete math exciting and fun! Let's get together and do some fun stuff.

Geometry is the study of points, lines, and planes. Although we learned to count with numbers first, geometry is the oldest branch of mathematics that had been systematically analyzed from a theoretical point of view. There are still many geometry courses that use Euclid's Elements as a textbook, about 2500 years after it was written.

Some people struggle with geometry at first because it is not a numerically oriented piece of mathematics - but geometry can be fun for the same reason! Let me help you find the joy in geometry!

Pre-calculus is a big amorphous field that varies a lot from school to school. In most places, it includes trigonometry, analytical geometry, and an introduction to limits, although limits are strictly speaking part of calculus. It's not unusual for some courses to include solid geometry and advanced algebra, such as synthetic division, sequences, and series.

These subjects form the foundations of calculus, and not mastering these topics will haunt students when they get into calculus, particularly integral calculus and the calculus of variations. Let me help you master these now so you can succeed later on in calculus!

The SAT math covers material from basic arithmetic through algebra II. While there are all sorts of strategies that focus on test taking tips and how to guess at multiple choice questions, I believe in learning the material.

I'll work with you to find out where your weaknesses are, then design a plan to fill those holes. Together, we can get immediate improvement in your SAT scores.

Trigonometry is the study of angles and how they relate to both circles and the sides of right triangles. It is one of the basic foundations of modern mathematics, and it's absolutely essential to master before passing onto calculus.

Don't let all of the Greek symbols and words frighten you - they are part of the rich history of this branch of mathematics. I can help you master trig!

Great tutor and very patient. — Bernie has gone above and beyond to get me from a 67 on my first chemistry exam to an 89 on my second. He is very patient and made sure I understood the material before I moved on. He recognized that algebra was my weak spot and focused on getting my algebra skills up to par. He was easy to get a hold of and was very flexible with appt. times. I wouldn’t have been able to make it through chemi ...

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