Yale Math PhD: SAT prep, gifted-child math and physics

Andrei K.
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Yale Math PhD: SAT prep, gifted-child math and physics

Andrei K.
Featured Review:

## Phenomenal tutor!

Krupa, 120 lessons with AndreiAndrei tutored my daughter for SAT Math, and for the SAT Math 2 subject test. His online classes were amazing and she grasped the subject matter quickly. Andrei also gave her great tips on working faster and more efficiently. This helped tremendously on the exams. Andrei tutored her for three months for the SAT Math, she took the exam once and scored a 780 on the math. He then tutored her for a month for the SAT 2 math, she scored an 800 on that exam. We are very grateful to Andrei, for...

Who I am:

NOT your run-of-the-mill tutor. Before a career on Wall Street, I was a professional, world-class mathematician. I have an MS and a PhD in mathematics from Yale University, and summa cum laude BS and MS in mathematics from the former USSR. A graduate of one of the Soviet Union's elite math-and-physics high schools, I was also a multiple Mathematics Olympiad winner.

What I can do for you:

(1) SAT/ACT and ISEE/SSAT test prep. Important as they may be, test-taking techniques...

mathematics

Masters

PhD

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GRE,
#### GRE

My system of preparation for the GRE places the main emphasis on mental math. While the benefits are many---including improved speed and the reduction in errors---the main point is to teach the students how to *look* for (and, therefore, to *see*) short, most efficient solutions.

Finance
Computer Science
#### Computer Science

My PhD Adviser at Yale University had a joint appointment at the Mathematics and the Computer Science departments. Consequently, I spent a significant amount of time studying algorithms, computational complexity, and other areas of interest to Computer Science. I am also fluent in several programming languages, such as Perl, PhP, and Java. Finally, one of my first students at WyzAnt was working towards his Master's Degree in Computer Science, needing help with his Algorithms class.

Statistics,
#### Statistics

Over the years, I've tutored AP Statistics to a number of high-school students who would proceed to score 5s on the AP exam, some without taking the actual class at school. I have also helped a number of college students taking Statistics as part of their pre-med or MBA program. Finally, I have helped several business professionals who needed to brush up on once-learned but long-forgotten Statistics for their jobs. (Once a StatArb trader on Wall Street myself, is how it all began :)

Finance
Elementary Math,
Elementary Science

ACT English,
ACT Reading,
SAT Reading,
SAT Writing

Algebra 1,
#### Algebra 1

Before completing my Ph.D. in Discrete Mathematics at Yale University, my specialization and master's thesis at Kiev University (U.S.S.R.) were in Algebra.

Algebra 2,
#### Algebra 2

Before completing my Ph.D. in Discrete Mathematics at Yale University, my specialization and master's thesis at Kiev University (U.S.S.R.) were in Algebra.

Calculus,
#### Calculus

Back in my previous, academic life, I taught Multivariable Calculus at Yale University, and Calculus 1 and Calculus 2 at University of Waterloo. Over the past few years, I tutored many high school and college students in calculus at all levels. Several of my younger high school students had achieved the score of 5 on the AP Calculus BC exam in 9th or 10th grade.

Geometry,
#### Geometry

Did you know that our Founding Fathers were almost universally educated in geometry? In their private letters to friends, they would make references to Euclid's the Elements the same way we would talk today about Google, or iPhone, or Twitter. (Except being able to talk about these modern realities is not a sign of a solid education :)
Until a few hundred years ago algebra gave modern mathematics ability to record information concisely---in formulas---geometry had done so---pictorially---for over two millennia.
A sidebar: When I taught at University of Waterloo, I organized a minicourse in Projective and Conformal Geometries.

Physics,
#### Physics

Starting in the Summer of 2013 twice a week, and continuing during the school year weekly, I have been running a physics class for exceptionally gifted students. Progressing slowly, we go more in-depth than a typical AP Physics course would. Our target is to study elementary physics in proper breadth and depth, over three-year period. The problems we consider mostly come from old Moscow physics competitions and other classical Soviet sources, which I have been adopting for this purpose.

Precalculus,
#### Precalculus

Over the past few years, I have been tutoring precalculus to students who would like to improve their grades through better understanding of the material, as well as to younger, exceptionally gifted students not content with cursory treatment of mathematics at school. To the latter, I offer a course adopted from old Russian textbooks for schools specializing in mathematics, supplementing it with topic-specific collections of AHSME/AMC 10/AMC 12/AIME problems.

SAT Math,
#### SAT Math

My system of preparation for the SAT/ACT math is "unique" (not really; it just imitates the way professional mathematicians approach math problems). First of all, slow down! "But I need to do it fast on the test," you may protest. True, but you need to learn how to *solve* problems first, *before* you can do it fast. The first time I looked at an SAT test, I did it (perfectly) in just over half the time--but I had never trained for speed. It may sound counter-intuitive, but speed comes naturally to those who (1) are good at solving problems and (2) have a complete command of the subject matter.
The good news is that the subject matter to master for the SAT math is very VERY limited. It can be explained to a thoughtful 7th grader. I had done that with my 12-year old son, who went on to score 790 on the SAT Math in May of 2012 (in 7th grade) and 800 in October 2012 (in 8th grade). I can do this with you, too.
How can I teach you to *master* the SAT math? By asking you to 'throw out the clock' and take your time; to write your complete solutions in a quad-graphed journal; to cover up the multiple-choice answers, unless the problem cannot be solved without seeing them. This approach to problem solving will immediately flash out the areas in need of additional attention. This is the most efficient way--perhaps the only way--to truly master the subject matter, and to end up *dominating* the test.
It is only when you have mastered the SAT problem solving *without* the clock--and you will, sooner than you may think--can we begin worrying about speed. But guess what: at that point, it will scarce be necessary.

Statistics,
#### Statistics

Over the years, I've tutored AP Statistics to a number of high-school students who would proceed to score 5s on the AP exam, some without taking the actual class at school. I have also helped a number of college students taking Statistics as part of their pre-med or MBA program. Finally, I have helped several business professionals who needed to brush up on once-learned but long-forgotten Statistics for their jobs. (Once a StatArb trader on Wall Street myself, is how it all began :)

Prealgebra,
SAT Reading
ACT Math,
#### ACT Math

My system of preparation for the math portion of the ACT (and, more generally, for the standardized tests in mathematics) is somewhat unique and unconventional. In fact, it goes against the grain of *most* of what you have been taught in school... and likely even in a test-prep class, if you have taken one. Sound a bit unnerving? Perhaps. But consider this: those same math teachers who tell you what to do, had most certainly not scored well themselves when they were your age. What is more, chances are good that they cannot score that well now, either. That's because their ways are... well, unduly complicated. I should add that the proof is in the pudding. I had taught a number of my young students to achieve the perfect score on the math portion of the SAT long before they would reach high school. I had also tutored a number of high-school students to score either perfectly or near-perfectly on the math portions of the ACT and SAT. If you buy into my method, I can teach you how to do it, too.

Algebra 1,
#### Algebra 1

Before completing my Ph.D. in Discrete Mathematics at Yale University, my specialization and master's thesis at Kiev University (U.S.S.R.) were in Algebra.

Algebra 2,
#### Algebra 2

Before completing my Ph.D. in Discrete Mathematics at Yale University, my specialization and master's thesis at Kiev University (U.S.S.R.) were in Algebra.

Calculus,
#### Calculus

Back in my previous, academic life, I taught Multivariable Calculus at Yale University, and Calculus 1 and Calculus 2 at University of Waterloo. Over the past few years, I tutored many high school and college students in calculus at all levels. Several of my younger high school students had achieved the score of 5 on the AP Calculus BC exam in 9th or 10th grade.

Differential Equations,
#### Differential Equations

While working towards my Bachelor and Master degrees in Mathematics, I took---and aced---an in-depth three-semester course in Differential Equations (including both Ordinary and Partial DEs). Later on in my academic career, I taught some of it at the college level in my calculus class.

Discrete Math,
#### Discrete Math

My PhD theses---as well as postgraduate research---were in the area of Discrete Mathematics.

Geometry,
#### Geometry

Did you know that our Founding Fathers were almost universally educated in geometry? In their private letters to friends, they would make references to Euclid's the Elements the same way we would talk today about Google, or iPhone, or Twitter. (Except being able to talk about these modern realities is not a sign of a solid education :)
Until a few hundred years ago algebra gave modern mathematics ability to record information concisely---in formulas---geometry had done so---pictorially---for over two millennia.
A sidebar: When I taught at University of Waterloo, I organized a minicourse in Projective and Conformal Geometries.

Linear Algebra,
#### Linear Algebra

Per my PhD program requirements, I taught a course in Linear Algebra at Yale University. Over the past few years, I helped a number of college-level students with their Linear Algebra classes.

Physics,
#### Physics

Starting in the Summer of 2013 twice a week, and continuing during the school year weekly, I have been running a physics class for exceptionally gifted students. Progressing slowly, we go more in-depth than a typical AP Physics course would. Our target is to study elementary physics in proper breadth and depth, over three-year period. The problems we consider mostly come from old Moscow physics competitions and other classical Soviet sources, which I have been adopting for this purpose.

Precalculus,
#### Precalculus

Over the past few years, I have been tutoring precalculus to students who would like to improve their grades through better understanding of the material, as well as to younger, exceptionally gifted students not content with cursory treatment of mathematics at school. To the latter, I offer a course adopted from old Russian textbooks for schools specializing in mathematics, supplementing it with topic-specific collections of AHSME/AMC 10/AMC 12/AIME problems.

SAT Math,
#### SAT Math

My system of preparation for the SAT/ACT math is "unique" (not really; it just imitates the way professional mathematicians approach math problems). First of all, slow down! "But I need to do it fast on the test," you may protest. True, but you need to learn how to *solve* problems first, *before* you can do it fast. The first time I looked at an SAT test, I did it (perfectly) in just over half the time--but I had never trained for speed. It may sound counter-intuitive, but speed comes naturally to those who (1) are good at solving problems and (2) have a complete command of the subject matter.
The good news is that the subject matter to master for the SAT math is very VERY limited. It can be explained to a thoughtful 7th grader. I had done that with my 12-year old son, who went on to score 790 on the SAT Math in May of 2012 (in 7th grade) and 800 in October 2012 (in 8th grade). I can do this with you, too.
How can I teach you to *master* the SAT math? By asking you to 'throw out the clock' and take your time; to write your complete solutions in a quad-graphed journal; to cover up the multiple-choice answers, unless the problem cannot be solved without seeing them. This approach to problem solving will immediately flash out the areas in need of additional attention. This is the most efficient way--perhaps the only way--to truly master the subject matter, and to end up *dominating* the test.
It is only when you have mastered the SAT problem solving *without* the clock--and you will, sooner than you may think--can we begin worrying about speed. But guess what: at that point, it will scarce be necessary.

Statistics,
#### Statistics

Over the years, I've tutored AP Statistics to a number of high-school students who would proceed to score 5s on the AP exam, some without taking the actual class at school. I have also helped a number of college students taking Statistics as part of their pre-med or MBA program. Finally, I have helped several business professionals who needed to brush up on once-learned but long-forgotten Statistics for their jobs. (Once a StatArb trader on Wall Street myself, is how it all began :)

Prealgebra,
Probability,
Trigonometry
Algebra 1,
#### Algebra 1

Before completing my Ph.D. in Discrete Mathematics at Yale University, my specialization and master's thesis at Kiev University (U.S.S.R.) were in Algebra.

Algebra 2,
#### Algebra 2

Before completing my Ph.D. in Discrete Mathematics at Yale University, my specialization and master's thesis at Kiev University (U.S.S.R.) were in Algebra.

Calculus,
#### Calculus

Back in my previous, academic life, I taught Multivariable Calculus at Yale University, and Calculus 1 and Calculus 2 at University of Waterloo. Over the past few years, I tutored many high school and college students in calculus at all levels. Several of my younger high school students had achieved the score of 5 on the AP Calculus BC exam in 9th or 10th grade.

Geometry,
#### Geometry

Did you know that our Founding Fathers were almost universally educated in geometry? In their private letters to friends, they would make references to Euclid's the Elements the same way we would talk today about Google, or iPhone, or Twitter. (Except being able to talk about these modern realities is not a sign of a solid education :)
Until a few hundred years ago algebra gave modern mathematics ability to record information concisely---in formulas---geometry had done so---pictorially---for over two millennia.
A sidebar: When I taught at University of Waterloo, I organized a minicourse in Projective and Conformal Geometries.

Physics,
#### Physics

Starting in the Summer of 2013 twice a week, and continuing during the school year weekly, I have been running a physics class for exceptionally gifted students. Progressing slowly, we go more in-depth than a typical AP Physics course would. Our target is to study elementary physics in proper breadth and depth, over three-year period. The problems we consider mostly come from old Moscow physics competitions and other classical Soviet sources, which I have been adopting for this purpose.

Precalculus,
#### Precalculus

Over the past few years, I have been tutoring precalculus to students who would like to improve their grades through better understanding of the material, as well as to younger, exceptionally gifted students not content with cursory treatment of mathematics at school. To the latter, I offer a course adopted from old Russian textbooks for schools specializing in mathematics, supplementing it with topic-specific collections of AHSME/AMC 10/AMC 12/AIME problems.

Finance

Physics
#### Physics

Starting in the Summer of 2013 twice a week, and continuing during the school year weekly, I have been running a physics class for exceptionally gifted students. Progressing slowly, we go more in-depth than a typical AP Physics course would. Our target is to study elementary physics in proper breadth and depth, over three-year period. The problems we consider mostly come from old Moscow physics competitions and other classical Soviet sources, which I have been adopting for this purpose.

SAT Math,
#### SAT Math

My system of preparation for the SAT/ACT math is "unique" (not really; it just imitates the way professional mathematicians approach math problems). First of all, slow down! "But I need to do it fast on the test," you may protest. True, but you need to learn how to *solve* problems first, *before* you can do it fast. The first time I looked at an SAT test, I did it (perfectly) in just over half the time--but I had never trained for speed. It may sound counter-intuitive, but speed comes naturally to those who (1) are good at solving problems and (2) have a complete command of the subject matter.
The good news is that the subject matter to master for the SAT math is very VERY limited. It can be explained to a thoughtful 7th grader. I had done that with my 12-year old son, who went on to score 790 on the SAT Math in May of 2012 (in 7th grade) and 800 in October 2012 (in 8th grade). I can do this with you, too.
How can I teach you to *master* the SAT math? By asking you to 'throw out the clock' and take your time; to write your complete solutions in a quad-graphed journal; to cover up the multiple-choice answers, unless the problem cannot be solved without seeing them. This approach to problem solving will immediately flash out the areas in need of additional attention. This is the most efficient way--perhaps the only way--to truly master the subject matter, and to end up *dominating* the test.
It is only when you have mastered the SAT problem solving *without* the clock--and you will, sooner than you may think--can we begin worrying about speed. But guess what: at that point, it will scarce be necessary.

Statistics
#### Statistics

Over the years, I've tutored AP Statistics to a number of high-school students who would proceed to score 5s on the AP exam, some without taking the actual class at school. I have also helped a number of college students taking Statistics as part of their pre-med or MBA program. Finally, I have helped several business professionals who needed to brush up on once-learned but long-forgotten Statistics for their jobs. (Once a StatArb trader on Wall Street myself, is how it all began :)

ACT Math,
#### ACT Math

My system of preparation for the math portion of the ACT (and, more generally, for the standardized tests in mathematics) is somewhat unique and unconventional. In fact, it goes against the grain of *most* of what you have been taught in school... and likely even in a test-prep class, if you have taken one. Sound a bit unnerving? Perhaps. But consider this: those same math teachers who tell you what to do, had most certainly not scored well themselves when they were your age. What is more, chances are good that they cannot score that well now, either. That's because their ways are... well, unduly complicated. I should add that the proof is in the pudding. I had taught a number of my young students to achieve the perfect score on the math portion of the SAT long before they would reach high school. I had also tutored a number of high-school students to score either perfectly or near-perfectly on the math portions of the ACT and SAT. If you buy into my method, I can teach you how to do it, too.

GRE,
#### GRE

My system of preparation for the GRE places the main emphasis on mental math. While the benefits are many---including improved speed and the reduction in errors---the main point is to teach the students how to *look* for (and, therefore, to *see*) short, most efficient solutions.

ISEE,
#### ISEE

Over the years, I have successfully prepared for the Math portions of the ISEE (and the SSAT) a number of students applying to (and getting into) highly selective private schools (at any grade level).
My system of preparation for these standardized tests in mathematics is somewhat unique and unconventional. In fact, it goes against the grain of *most* of what you have been taught in school... and likely even in a test-prep class, if you have taken one. Sound a bit unnerving? Perhaps. But consider this: those same math teachers who tell you what to do, had most likely not scored well themselves when they were your age. What's more, chances are good that they cannot score that well now, either. That's because their ways are... well, unduly complicated.
What is a better approach? First of all, I will teach you how to solve 95% of all questions *mentally*, without writing a thing. Why bother, you may ask. Several reasons.
One, it will teach you---anew---what you once knew but have since forgotten: the mathematical imagination. Its importance is hard to overemphasize. If you can imagine what is going to happen when you do this or that, say to a math expression at hand, you are going to solve the problem that much faster!
Two, doing math mentally teaches you to *look*---typically for a shorter way to solve the problem---and eventually to *see* such a short solution. A typical SSAT problem can be solved---mentally---in under 10 seconds (that is, once you've slowly read it).
There are other [inter-related] benefits in mental math: improved short-term memory, reduction in the number of 'silly mistakes,' increased accuracy and speed, etc.
Next, since you are not writing, you cannot 'show your work.' But to take it further, I will not let you 'show your work' even in articulating your solution orally, either to me or to yourself. Why not? Because 'showing your work' prevents you from short-circuiting the steps that at some point in the past should have become trivial. For example, years ago, when

SSAT,
#### SSAT

My system of preparation for the math portion of the SSAT (and, more generally, for the standardized tests in mathematics) is somewhat unique and unconventional. In fact, it goes against the grain of *most* of what you have been taught in school... and likely even in a test-prep class, if you have taken one. Sound a bit unnerving? Perhaps. But consider this: those same math teachers who tell you what to do, had most likely not scored well themselves when they were your age. What's more, chances are good that they cannot score that well now, either. That's because their ways are... well, unduly complicated.
What is a better approach? First of all, I will teach you how to solve 95% of all questions *mentally*, without writing a thing. Why bother, you may ask. Several reasons.
One, it will teach you---anew---what you once knew but have since forgotten: the mathematical imagination. Its importance is hard to overemphasize. If you can imagine what is going to happen when you do this or that, say to a math expression at hand, you are going to solve the problem that much faster!
Two, doing math mentally teaches you to *look*---typically for a shorter way to solve the problem---and eventually to *see* such a short solution. A typical SSAT problem can be solved---mentally---in under 10 seconds (that is, once you've slowly read it).
There are other [inter-related] benefits in mental math: improved short-term memory, reduction in the number of 'silly mistakes,' increased accuracy and speed, etc.
Next, since you are not writing, you cannot 'show your work.' But to take it further, I will not let you 'show your work' even in articulating your solution orally, either to me or to yourself. Why not? Because 'showing your work' prevents you from short-circuiting the steps that at some point in the past should have become trivial. For example, years ago, when you were learning how to read, you had to first learn how to recognize the shapes of individual letters, and the sounds that each of them made. But si

ACT English,
ACT Reading,
SAT Reading,
SAT Writing
Andrei has provided examples of their subject expertise by answering **9 questions** submitted by students on Wyzant’s Ask an Expert.

## Knowledgeable teacher.

Teaching style is intense and that is not going to work for my son.

Pranati, 1 lesson with Andrei

## Incredible person, and a professor.

I value honesty and creativity. Myself, I went to some great schools and some horrible ones, for sure, I can spot good, great, and not so great teacher. Andrei approaches math as a puzzle, a fun one, and it's not a type that would scratch the surface. Most professors these days just cover the topic so briefly, for lack of passion, lack of time or lack of knowledge. Andrei goes in dept, and very much appreciates math and the beauty of it. Since my Harvard classes, I did not see this level of expertise. My daughter comes out of the class full of energy and looks enriched not exhausted. Learning should be fun, should be engaging and should be most of all curious why, and why journey. As a contrarian, I agree with everything that Andrei shared beyond math with my daughter. Some might find it offensive, I find it factual and truthful. The world needs more Andrei’s. Thank you.

George, 21 lessons with Andrei

## Excellent Math Teacher

So grateful for exceptional lessons with Andrei! My daughter has been working with Andrei for the past 5 months. She has shown an improvement in her critical thinking ability! Lessons with Andrei enabled her to identify the most efficient way to solve ACT/SAT Math problems mentally, without pencil and paper. She has also learned to derive Pre-Calculus formulas without memorizing them. She has been scoring consistently on top of her class since she started her lessons with Andrei. Highly recommend Andrei if you are looking to excel in Math or improve your problem solving abilities!

Elena, 56 lessons with Andrei

## Methodology Personalized to Get Results!!

Parents and/or students If you need to win this is the method that will get you there. Andrei’s method is the real deal. More importantly the approach makes sense to our son. By the first lesson lesson we immediately seen results. Our son was already leaping past concepts that he could not visualize before. Parents, this is an investment you need to make for your young minds!

Matthew , 78 lessons with Andrei

## Extremely Insightful and Skilled Tutor

I'm using Andrei to help me prepare for the GRE math section and already after 1 session, I learned a lot. His mathematical knowledge and skill, is extremely impressive. I'm overjoyed to have him as a tutor.

Corbin, 3 lessons with Andrei

## Unique thinker, train how to think

Andrei is a great teacher. He teaches my son ISEE math and now Mathcount. He teaches how to think, how to come up with the simplest method to solve problems. Particularly many complicated mathematical problems actually do not even need pen and pencil. It is the way how you solve the problem matters. Both my son and myself loved it. Thank you Andrei

Hongfang, 27 lessons with Andrei

## Excellent advanced level math tutor!

My son was impressed with Andrei’s lesson and hopes to continue in the future! He said he was able to solve 10 advanced level problem in the hour and was able to learn the concepts from Andrei which would otherwise taken him longer.

Piali, 1 lesson with Andrei

## Math competitions

Andrei is an excellent math teacher. Very methodical, analytical, explains well the material. I feel confident that I will succeed. I look forward to more lessons.

Eva, 10 lessons with Andrei

## Patient, great at explaining

Really helped me with doing things mentally and doing things a way that was more efficient than my school. Helped me doing things must faster than the way my schoolteacher taught. Uses intuitive examples that are entertaining and intuitive.

Ray, 15 lessons with Andrei