I believe that there is no reason why Math or Science classes should be intimidating and off-putting for anybody. The internal logic and conceptual clarity of these subjects combined with gradual material presentation and clear thoughtful choice of examples and problem sets would always assure the ultimate success.
Following the principles of I. M. Gelfand, one of the best ever math educators, I always try to show my students why a particular solution method is true and logical, not making them rote memorize numerous cumbersome formulas and proofs.
Whether in algebra or calculus, trigonometry or geometry, physics or chemistry, I start with the basic concepts, and gradually walk my students through the specifically chosen and individually adjusted sets of examples and exercises to help them first understand the logic of the applied approaches, then steadily master their problem solving and test skills, and finally to challenge the students with more complex aspects of a particular topic or chapter.
This approach never failed me in my over a decade long experience of academic teaching and private tutoring, of high school and college students, in the United States, Russia and France, helping my students gain that sound math and science foundation so needed for their future studies of engineering, science, finance, or business.
My educationist’s experience includes teaching several undergraduate college courses (general physics, chemistry, classical mechanics, etc.), as well a decade of high school tutoring in Math (Calculus, Algebra, Geometry, etc.) and Science (Physics & Chemistry).
I’m always happy and honored to help students — high schoolers of all grades and college undergraduates — in their pursuits of mathematical and scientific disciplines.
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Dmitry's subjects
Algebra 1
Algebra is undoubtedly the cornerstone of any mathematical high school training. However, unfortunately, too often high school algebra classes tend to be boring, confusing and overwhelming, and the algebra textbooks are getting just fatter with more and more colorful pictures and yet not any easier for students to understand or retain the material.
What’s needed though is a simple clear logical explanation of the basic concepts and their interrelation. And, then, instead of rote memorization...
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Algebra 2
Algebra is undoubtedly the cornerstone of any mathematical high school training. However, unfortunately, too often high school algebra classes tend to be boring, confusing and overwhelming, and the algebra textbooks are getting just fatter with more and more colorful pictures and yet not any easier for students to understand or retain the material.
What’s needed though is a simple clear logical explanation of the basic concepts and their interrelation. And, then, instead of rote memorization...
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Calculus
Following the principles of some of the best American and European calculus educators –M. Gardner, I. Gelfand, G. Polya— I always try to show my students why a particular solution method is intuitive and logical, not making them rote memorize numerous cumbersome formulas and proofs. Most topics and concepts of calculus come from practical problems and needs, wherever in physics, engineering, or economics, and often evoke very visual intuitive constructs and situations. The trick when teaching...
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Chemistry
Chemistry is the most fascinating science telling us about matter - materials and substances around us, their changes and mutual transformations, their properties and countless uses everywhere in our lives and nature. Hence, studying chemistry at any level, from high school to the most advanced chemical engineering or biochemical programs, should and can always remain fun and captivating exploration rather than just memorizing of nomenclatures or dry accounting of “moles, atomic percentages, and...
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Physics
Physical understanding of nature cannot be achieved without extensive problem solving and conducting numerous practical and thought experiments. I believe, the success of solving such problems and designing these experiments is chiefly based on the ability of students’ imagination and analytical intuition while combined with the deep comprehension of basic physical concepts explained by the teacher / tutor. From the very beginning, these concepts should be presented with strict clarity and logic,...
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Precalculus
I have a decade-long experience of private tutoring of high school math, including precalculus, in the United States, France, and Russia.
Following the principles of some of the best American and European calculus educators (M. Gardner, I. Gelfand, G. Polya), I always try to show my students why a particular solution method is true and logical, not making them rote memorize numerous cumbersome formulas and proofs.
In both precalculus and calculus, I start with the basic...
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Trigonometry
Trigonometry may truly be considered as a center subject of the high school math. It originates in geometry and then leads into much deeper periodic functional relations and applications in calculus, physics, and astronomy.
My approach to tutoring trigonometry (as well as to other branches of high school and college math) is to start with the basic concepts, and gradually walk my students through the specifically chosen and individually adjusted sets of examples and exercises to help...
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SAT Math
SAT Math is a fairly simple standardized test. However, it is 50+ problems and just over an hour to complete them. Hence, the SAT Math is critically about speed of solving math problems and the pressure of time running out.
In this respect, it is quite similar to a competition (which it is after all, since the success gives you a better chance to effectively compete for college admission). And just like for success in any other individual competition, it is very much about the right...
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