Koppel Tutoring • Hundreds of Testimonials and Prominent Named Verifications

Private Math Tutoring • Grades 7-12

Algebra • Geometry • Trigonometry • Precalculus • Calculus

This collection of hundreds of parent and student testimonials along with prominent named endorsements is a tribute to all my tutoring students over the decades. It’s about the intellectual journeys we have taken together, your love for learning, your hard work and perseverance, and your achievement of educational excellence. Congratulations to every one of you; approbation with distinction and well done!

Dr. George
Harvard Ph.D.
MIT B.S.
Perdocere Inc.
phone: 833-MATH-833


Prominent Endorsements

✏️ From:
Marlyn E. McGrath
Director of Admissions
Harvard University

“I think George is not merely a tutor – he is a real educator. He knows that what helps students perform well on tests is the same as what makes them good students. A solid academic foundation pays dividends throughout schooling and careers, and George never loses sight of that in his work.”

Perdocere Tutoring - Prominent Named Verifications

✏️ From:
Prof. William A. Goddard III
California Institute of Technology
(Caltech)

“I have known George for decades. He has a very clear and dramatic effect enabling students to think and rise to their full potential. George’s influence on so many lives has had significant impact, and I greatly admire him for doing this.”

Perdocere Tutoring - Hundreds of Parent and Student Testimonials

Parent and Student Testimonials

✏️ “George is a master at his field. He connects well with students and genuinely takes an interest. My son has improved his math performance in school and has increased his math SAT score by 220 points in less than nine months. George not only teaches math, but teaches strategies and encourages deeper thinking skills. My son is always fully engaged and has a desire to learn with George. They have two hours of fun every week.”

✏️ “George has tutored my son for the last two years and my daughter for the last year. He has helped them easily master the skills they need to be successful in high school. Further, the one-on-one sessions enable him to push them both a little further and expand their understanding. As a result, my children are very confident students. Best for me – no more math drama.”

✏️ “I met George in February of my junior year. Earlier in my junior year and sophomore spring, I had been bounced between countless math tutors who seemed uninterested in actually changing the way I learn and comprehend math on different levels, which is a necessary transition from my school math course work to solving problems on the ACT. A few had deemed me incapable of ever truly raising my math IQ and relied heavily on strategy to get me through standardized testing problems. Yet with George, everything changed. He studied the way I learned and took tests, and synthesized the information I gleaned from each of our sessions. He then broke down my entire bank of knowledge in the realm of mathematics and we started from the bottom, building our way up. As each new brick was laid in the foundation, my confidence grew and my ability to take control of the ACT in a way that worked for me was apparent. I no longer fear ACT test day, new units in Pre-calculus or a problem that seems overwhelmingly difficult based on its exterior. George became my math savior and I can not thank him enough.”

✏️ “George has worked with my children on test prep for the SAT, ACT, AP exams, and the SAT subject matter tests. My two oldest — for whom math is their worst subject — scored a 740 and a 790 on the SAT math section. My youngest just scored an 800! I, and they, attribute the high scores to their work with George. He not only helps them with the substantive skills needed for success, but also with the practical hints that come in so handy on standardized tests. He works through many practice exams and works to educate them about their particular strengths and weaknesses so that the right emphasis in studying can be made. All three of my children report that they feel that working with George has made a big difference in their school performance and test scores.”

✏️ “All three of my children are tutored by George in math, chemistry, and physics. Not only is George capable of tackling all three different subject areas, he is able to relate to the very different learning styles of each child.”

✏️ “I can always rely on George to help me understand a particularly challenging concept in math.”

✏️ “George worked with my son all summer to help him improve his math skills for the SAT’s. He’s enabled my son to feel more confident, and he has certainly instilled him with stronger math skills in preparation for the test – and equally important – for his future education. We’re hoping for good results on the SAT! We thank George for his ability to provide personal individual attention to our son.”

✏️ “George works miracles! When I first started with George, I took a practice SAT and sadly got a 550. George explained that he was going to rebuild my math knowledge and rewire how I looked at math problems. Over the course of the summer and fall, George continued to work with me and with his careful instruction, guidance, and support I was able to get a 780 on the real SAT. George taught me to think differently and to approach math problems in creative ways. George pushed me to be the best student I could be, but never pushed me in a way that was counterproductive. Though I was not confident at the start, George’s never ending encouragement and faith in me allowed me to finally recognize my full potential in the SAT and in my math classes at school. I can’t thank George enough!” (780 Math SAT)

✏️ “We simply could not do without Dr. George! Our student even requested tutoring over his two week summer vacation to continue to benefit from his one-on-one, personally structured sessions with the wonderful, kind and very smart, Dr. George! Our son’s academic year will begin on a high note as he pushes to remain ahead of the curve in math. A standing ‘O’ is in the highest order for Dr. ‘G’.”

✏️ “When I first met George, he gave me a diagnostic practice SAT math, and I scored a 530 on the SAT. Now, I can hit 800’s with time to spare. George has taught me new math topics, but he has mainly taught me how to think. He has shown me that each math problem can relate to the other, so you can solve each problems in a myriad of ways. We have sat down together and searched for new ways to solve the most difficult problems. It is almost like George unlocked something in my brain that now allows me to see all of the different solutions to each problem. Once I see all the possibilities, I can choose the most efficient and safe solution which now allows me to score 800’s.”

✏️ “It’s a privilege to have Dr. George tutor you.” (800 SAT Math)

✏️ “George has been a helpful, effective tutor whom I would recommend to most anyone. He quickly shows you everything there is to know about SAT math and installs it into your memory. Furthermore he is a nice guy who genuinely wants you to improve.”

✏️ “George made it possible for my son to go to the best college for him. George is the best teacher and mentor my son could have. We cannot thank him enough. I cannot wait to see my other children grow as learners with knowledge and strategies taught by George.”

✏️ “George has expanded my interest and ability in math while working with him this past school year. I have really learned a lot as well as a positive and reliable approach to math. It has been a great experience working with George and I am looking forward to working with him to prep for the SAT’s.” (790 SAT Math)

✏️ “This year, I am taking the most rigorous math course my school has to offer, AP Calculus BC. BC calc is extremely fast paced because of the AP test in May. Some of the topics are only covered for a fraction of a class; however, with George’s help, I am a month or two in front of the class. Because of the two month lead, George is able to show me more advanced topics that will never be covered in BC calc. The way that George teaches calculus incorporates everything that was previously learned in calc while still covering a lot of material extremely thoroughly. In class, I have done well on all of my tests. George has allowed me to obtain an understanding of calculus which seems impossible to get from the class alone. I am very thankful that I have George guiding me through BC calc.”

✏️ “George has been one of the greatest things to ever happen to me. Before George, I was struggling and basically failing math. Since I’ve worked with so many other tutors who completely failed me, I was a little apprehensive when I first met George but we soon became totally comfortable working with each other and even have inside jokes. He’s helped me in math so much. I used to hate math with a passion, but now it’s one of my easiest and most enjoyable subjects. George and I work together even if I’m sick. He makes me feel better, instead of wearing me out. If I have a bad day at school, George cheers me up. He’s basically your best friend and the best tutor. I love him! Thank you George!”

✏️ “George knows his math. His educational accomplishments speak for themselves as does his many years of experience tutoring the subject. He has done a great job with my son. He has awakened his love of math. He simplifies where it is complex and enriches where it is too simple, balancing the subject and keeping my son engaged. This year my son has earned an A in math so obviously he gets results. More than that, George is a great person and my son truly looks forward to and enjoys his sessions. Working with George was one of the best decisions I ever made.”

✏️ “George quickly and accurately assessed our son’s needs, then put together lesson plans, exercises and study guides geared to address his specific needs. He just came home with his first A.”

✏️ “George is the best math teacher I have ever had. Nearly all of my math teachers in the past either just read the textbook to the class or followed a set of curriculum notes so closely that all you had to do was memorize then regurgitate exactly what you just learned to get an A. In the past, math class was no less than a memory game where each problem only had one solution which was shown by the teacher. George does not follow a textbook and he can create a lesson around a single problem. He shows many solutions to the simplest of problems and show how to connect every topic to each other, so I can fully understand each aspect of the topic we are focusing on.” (perfect score, freshman college math placement)

✏️ “Working with George has improved my math skills immeasurably. I was able to achieve a near perfect score on my Math SAT as a result of George’s dedication, patience, and skill in our tutoring sessions. He made sure I not only understood the concepts but had a deep knowledge of them. I also worked on my school work with George and felt that our work together put me well ahead of my fellow students.” (790 SAT Math)

✏️ “George was a wonderful tutor for my daughter’s Math SAT prep. George has a complete understanding of the Math SAT test. He is also skilled in teaching high school students this information. We were thrilled with the results! A very satisfied mom.” (730 SAT Math)

✏️ “In preparing for the SAT, George helped me dissect each problem into its basic parts. There is no better preparation for the Math SAT than with George.”

✏️ “George is the best tutor out there. With his thorough teaching, he has increased my Math SAT score by over 200 points in the past year. Since the eighth grade, George and I have been working to increase my math grades at school, and together we have been nothing but a great success. George is extremely talented. I think that to him, Perdocere is more than a clever Latin name for his tutoring business, it’s a philosophy. George knows everything about the system, whether it be public school, the SAT, or math in general. He didn’t acquire this knowledge through tricks and memorization. He learned it through simply learning the math thoroughly. I can speak from experience. Once George and I had conquered Algebra, I had the skills to conquer problems that would have been insurmountable to me just a few months before. It’s quite simple. It all comes down to his philosophy of teaching thoroughly. George produces results.”

✏️ “Before working with George, I thought of math as a drudgery. The subject required a lot of work and study, but it seemed to me that no matter how hard I applied myself, I could not affect a change in my grade. Math was a chore and an ugly spot on my report card. After being taught by George, however, that all changed. George takes the time to explain the mechanics behind a formula, never allowing memorization where there is understanding to be had. Under George’s tutelage, I began to see the beauty of mathematics, and as my interest in the subject grew, I found myself considering it less a boring necessity, but a more rewarding challenge. George’s teaching has turned my opinion of math completely on its head, and also yielded pleasant results during the final exam. Although my term grades before meeting George were not fantastic, I was able to score highly enough on my final exam to bring my overall math grade up to an A-. Without George’s careful guidance, this certainly would not have been possible. I cannot recommend his services highly enough – under George, not only my grades, but also my outlook on math changed for the better.”

✏️ “My son has been tutored by George for the last three years. During that time he has gone from a struggling student to one who feels a confident mastery of the subject. George has built up his understanding by patiently explaining the basic foundation of math as well as adding enrichment when my son was ready. He now loves math and we owe it all to George!”

✏️ “Anyone who says that the SAT Mathematics section cannot be taught has not met George. After scoring a low 600 on my first practice exam, George stepped me through the process of learning how to take the test as well as the mathematical concepts behind it. After several months of training, George helped me to receive a perfect 800 on the Math section. And if that wasn’t enough, he also guided me through the SAT Mathematics IIC Subject Test, which, with his aid, I scored another perfect 800. Thanks to George, I was able to conquer the SAT’s.”

✏️ “Our son is a very good student but has found that he does not process information as quickly as it’s given in school. George has been tutoring our son for only eight months and already he has seen great improvement. In addition to increasing his math grade to an A, George has been able to increase our son’s confidence in all subjects.”

✏️ “George set an amazing foundation for my AP Physics course, when he taught me some basic calculus, which allowed me to understand how all the formulas interconnected, rather than simply memorizing them.” (AP score 5)

✏️ “I’ve been a student of George’s now for four years going on five. I tried other tutors but no one really does it quite as well as George. He does his best to help the student and to ensure their good performance. One night, before the SAT George stayed with me for roughly six hours to ensure that I got my 800 on the math portion of the SAT. Overall George is the best tutor I’ve had thus far, and if you are looking for honest results George is the way to go.”

✏️ “Working with George has changed my life for the best. When I first started High School, I was still overcoming many challenges involving my health – which had been affecting my grades as well as what classes I had to take. Once I met George tough, I knew he was different than the countless other tutors that had come and gone through my life. George was able to get me to heights I’d never even believed I could reach. The passion that he has for mathematics and his endless dedication to his students is visibly seen every time he’s doing a lesson. Not only has George been a fantastic tutor but he has also been a great friend. He’s given me important input to major decisions I’ve had to make in my life whether it’s what college or even what classes I should take. There’s nobody I can credit more when it comes to the straight A’s in math classes I’ve taken these past four years and the 710 & 750 I received on the SAT and SAT Math IIC than him. I would have never believed back then that George would’ve had the impact that he has now on my life. Thanks for everything, George.”

✏️ “We thought our daughter’s ADHD was a liability in learning math. George recognized her different learning style and speed and has worked it to her advantage. He truly understands the principles in learning how to learn. We have had many tutors for many subjects, but the confidence she has gained from George in math has generalized to all her other subjects.”

✏️ “We have had many tutors in the past and George by comparison is extraordinary. George’s weekly sessions helped my high school boys achieve never before A’s in their math classes. My husband and I were so impressed with his intelligence, dedication and patience. These qualities allowed my boys to truly understand SAT test taking and math strategies. We highly recommend George!”

✏️ “Thanks again for everything you have done for the boys – you really have a gift!!”

✏️ “I got a perfect PSAT math score, thank you!”

✏️ “George has helped me tremendously. I get a solid A in math since George has started tutoring me. I also am doing much better on my SAT’s. Before George I couldn’t even get passed the first question. George is a great tutor.”

✏️ “George is not an ordinary math teacher. Not only did my son receive phenomenal math tutoring, but George also boosted his confidence. I’d overhear George encouraging my son, ‘Let’s look at the problem carefully, it’s easy…’ By upping my son’s self esteem, George was able to improve his score. George also built up my son’s stamina by having him take full length practice tests so he’d be prepared for the actual SAT.”

✏️ “I don’t know how we came this far without George. There has been a tremendous improvement in our son’s work. He has the A’s to prove it. George is truly a gem.”

✏️ "George’s help in my precalculus math course was outstanding. George understood that junior year is an incredibly busy year, and he wasted no time in explaining the information to me and finding the best way to convey the message. When I felt that something was too hard to understand, he would find a new way of explaining it. George always tries to make things easier to understand, but is also concerned that I perform to my best ability. George was prepared for everything that was coming in my course, and therefore I had a great advantage in the class. I’m grateful that I not only succeeded in math, but I also had a tutor that cared just as much as I did that I succeeded.”

✏️ “George has been more than just a tutor. He is a friend and a mentor for both our children. Perfect SAT and ACT scores were just the beginning. George is still with them in college. His methods and teaching skills are more than what we imagined. The sooner a child starts with George the better his foundations are made solid, and the confidence the student acquires with his help goes beyond math to encompass all the curriculum.” (800 SAT, 36 ACT)

✏️ “George, many, many thanks for all your hard work with our son. You were the only outside tutor we used that truly put your heart and soul into his success – from identifying weak areas to intensively reinforcing all areas. His results speak volumes about how you opened up his understanding of math (and helped jack his score up to a very competitive level). Personally, your commitment and steadfast resolve towards his SAT results was remarkable.” (740 SAT Math)

✏️ “We just keep coming back for more! George has been working with at least one of our children for the past five years. He has firmly grounded them in mathematics and physics and has given them the confidence to handle any problem set that is assigned. Perfect or nearly-prefect SAT and SAT-II scores have also come the children’s way during this time – and George can truly take credit for readying them for these standardized tests. He knows that strength in fundamentals and hard work are the most important variables in the success equation. George is an educator first and foremost. He explains concepts in a clear and concise manner and has a way of consistently reinforcing these concepts. He pushes his students to achieve… but always in an extremely supportive manner. George does what is necessary to ensure that his students understand what is being taught. He wants all of his students to succeed – and is truly vested in their success. In sum, we can’t say enough good things about George… now if only we could clone George for the SAT critical reading.”

✏️ “George has an amazing amount of patience and challenges me at every turn. The truth is in the results! I am a more confident learner and that carries over to my other courses, as well. I got an A in my Honors Algebra class and look forward to working with George as I prepare for the PSAT/SAT/ACT tests.”

✏️ “George’s capabilities extend well through college topics. After taking BC calculus my senior year of high school, I took a semester off before taking Calculus III in the spring term. What began as a speed review of single-variable calculus expanded to encompass numerous topics neglected in the high school curriculum, as well as proper explanations and proofs of many other topics. George’s first goal is to establish a solid mathematical foundation; or in a case like mine, backfill the incomplete foundation. From there, working into sciences or high level math becomes far easier.” (800 SAT Math)

✏️ “George not only taught me math and chemistry, but taught me in a way that was practical and easy. Compared to school teachers, George actually explains things in a simple way and most importantly taught me how to think through any problem, which is by far the most valuable lesson I have learned from him.”

✏️ “George is a brilliant mathematician who has the rare ability to convey that knowledge to our teenagers. He is an effective communicator who teaches with patience, determination and perseverance. George understands that confidence is the most important ingredient for learning and empowers our children to believe in themselves.”

✏️ “Since I took the hardest math class at my school this year, I was nervous about my math grade. Thanks to George, on my last test I got the first 100% I’ve gotten since freshman year! My math has greatly improved since I started working with George, and for the first time I find that I am genuinely interested in math. I cannot recommend George highly enough!”

✏️ “George is a great man! In my time working with him I have learned VERY much! I believe that George’s help is of the utmost benefit for anyone who wishes to enrich themselves and to be successful in math!” (800 Math SAT)

✏️ “George is a fun guy who knows his stuff. He is enjoyable to work with and the results are astounding.”

✏️ “George taught me a new way of thinking. He retrained my brain to think the way he does. I never have to memorize formulas, or remember a certain method. George taught me how to analyze the core math behind a problem, and derive how to solve it on the spot. It is a skill that has paid off incredibly. Thank you George!!”

✏️ “Thanks to George I not only feel more confident in math, but I also feel like I am receiving a strong education from someone who is dedicated to helping people learn. Every lesson is based on what I need, and he never disappoints. His approach to math is both fun and engaging. He helps me get the results I want without substituting memorization for learning.”

Click Here for the Complete List of Hundreds of Parent and Student Testimonials. What’s Shown Above is a Small Sampling.