Knapp 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

✏️ “As an extraordinary tutor for classroom math in both middle school and high school, we have now asked George to prepare our daughter for math on the college SAT. We have absolute confidence in George to help our daughter achieve her highest possible SAT math score.”

✏️ “You have set the ‘gold standard’ that I don’t think anyone else can approach.”

✏️ “George plainly has a mastery of math and science that runs both broad and deep, and he is very, very good at communicating with both students and parents in clear English pitched to their level of scientific understanding, wherever that may be. He clearly cares about his students, and we feel very confident that he is happy to help any way he can.”

✏️ “Before I began working with George, I was getting good grades in math but much of the time I didn’t really understand what I was doing or why I was doing it. After my first session with George, I could tell he was a different kind of teacher. He really explained the concepts instead of just teaching me steps that I had to memorize. George always makes sure that I completely understand what I am working on before we move on to a new concept. I look forward to my sessions with George. George makes the sessions fun, interesting, and challenges me to think in ways that I haven’t been taught in school. George also happens to be funny and kind and I feel he really cares about me as a student.” (96% Final Math Assessment)

✏️ “After trying several other tutors we had almost given up hope. We then found George and he has been amazing. Our daughter is now an A student in math and stress at home has vanished. Thank you George!”

✏️ “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)

✏️ “What would our schools be like is we could witness George’s way of teaching there? Quality, it works!”

✏️ “George is a super tutor that has made a significant impact on our daughter’s learning. Her progress has been beyond belief. He has worked diligently and patiently with her to fill in the gaps in her learning. She no longer memorizes formulas without knowing the why’s and how’s of problem solving. She is well grounded in the fundamentals and has gained the confidence to take on additional academic challenges. George’s math knowledge isn’t his only recipe for success, he also knows how and when to motivate a student.”

✏️ “Every time I see George with my son, I feel very happy and blessed knowing that he is in good hands. My wish is not just for my son to raise the points or grades but also to learn what “study” truly means through Math so that he can apply the concepts and skills across the fields in his lifetime. George is a teacher and mentor who can make my wish come true.”

✏️ “George is a miraculous Math tutor. At the end of December I called George and told him my predicament, that my son was doing his mid-terms in a few weeks time and that he needed immediate Math tutoring. George tutored him five times before his mid-terms and he did very well. I’m grateful to George for coming to our assistance at such short notice. In addition to doing so well in his mid-terms my son has gained much more self-esteem in himself as George taught him how to approach doing Math homework and prepare for quizzes and tests.”

✏️ “George has been working with our son for more than a year now. We can’t say enough for George’s abilities to teach – whether it be physics, mathematics or SAT prep, George ensures that our son has a comprehensive understanding of the materials. He challenges him to think through problems and apply concepts. George also has a way of making learning and academic achievement something that our son is proud of. He has instilled in him a level of confidence in his academic abilities that would not have existed absent George. Anyone wanting a truly dedicated teacher and genuinely nice guy to work with their son or daughter should always look to George first.”

✏️ “Not only has George quickly and effectively helped my daughter to significantly raise her ACT math scores but he has boosted her confidence ten fold!”

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

✏️ “George made a huge difference in how our son approached math problem solving, as well as in how to take the SAT. George quickly identified fundamental mathematic deficiencies and provided the education required so that these principles can now be applied in any setting, not just in taking the SAT. We look forward to working with George again next year. Thanks George from all of us!!!”

✏️ “George is the best math teacher I have ever had and for the first time in my life I can now say I feel confident in math. I get it! He is so organized. He challenged me to really push the limit and had confidence in me that I could achieve the goals we set together. I wasn’t to sure but with his methods, encouragement and great teaching I did it and feel great about it too. I did greats on my SATs, my math grade is an A and I now will enter the honors level. I wish I had met George earlier. Thanks George.”

✏️ “Working with George is fun. Before I started working with him I always hated going to math but not anymore. I enjoy math. I don’t want it to end. He is doing an amazing job getting me up to par with my grade. He is the best math teacher I have ever had and the sooner you start working with him the better. If you put in the time he will be able to catch you up and get you in front of your whole school. If you don’t work with him it’s your loss.”

✏️ “It is with both pleasure and sadness that I write this testimonial for George who has tutored my three children over the last five years in a wide range of subjects (math, pre-calculus, chemistry, physics, biology, computer science, and a little engineering on occasion). George has been an extraordinary resource and has become an honorary family member and a dear friend to me and all my children. He has seen my children through quizzes and tests, helped with tricky homework assignments, and led them to superlative performances on their SATs, APs and ACTs. George has been a terrific mentor as well as a tutor, giving advice on school, the college application process, and the like. George keeps up to date with all assignments posted by the school and helps even disorganized kids get organized. He is terrific at reminding the kids of deadlines for projects, assignments, quizzes and standardized tests. He has always made time in his busy schedule for extra sessions when a big test or project is due, he explains why and how rather than tell a student just to apply the formula, he adjusts his method and style of tutoring to each individual child, he is reliable and efficient and always pleasant, and his range of subject matter knowledge is superb. I honestly believe that George’s tutoring has had a big and most positive impact on my children in many ways. On the most obvious level, he truly did help boost their test scores and probably did impact the level of college to which they were admitted. Beyond that, however, he really gave them a greater appreciation and understanding of subject matters that they were not as comfortable with, and gave them the tools to help them think, analyze and solve. These are tools that they will carry with them and use all their lives, whether they ever take another math course or not. That is what a real tutor does not just get you through the next exam. And even further, George honestly cares about his students not just their performance but also their minds, their interests, and their character. Whenever my two oldest are home from college, they are delighted to see George again, and I know that my youngest will miss George when he starts college this year, as will I. George has been a big part of our lives. We are better of for the experience in many, many ways. Thank you, George.”

✏️ “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 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.”

✏️ “With SAT’s looming, I hired George to access and fill in the gaps in my son’s math knowledge. My son scored a 550 on his first practice SAT with George, so there were plenty of areas that needed attention! George came up with a comprehensive plan to rebuild my son’s math knowledge from the ground up. George taught my son to look at math through a completely different lens, which enabled him to think creatively as opposed to mechanically when he approached math problems. This strong foundation coupled with a creative approach to problem solving resulted in a 780 on the SAT. George was professional, methodical, and thoughtful during each session, and knew how to motivate and inspire my son. Although the work was hard at times, my son was always happy and grateful to be working with such a brilliant and kind teacher. I only wish all of my son’s math teachers could be as exceptionally qualified and compassionate as George!” (780 SAT Math)

✏️ “I’ve been working with George for close to three years now and he is unlike any other tutor I’ve had previously. With comprehension comes good grades and self satisfaction I can’t get through just memorization. George’s plethora of knowledge has helped me through numerous courses and standardized tests. Whether it be science, math, and even the SATs, George has been there to help me.”

✏️ “I’ve always struggled with pre-calculus and calculus. My teachers never taught the theory behind the problems, or how it was connected to the big picture. George makes it his mission to make sure you thoroughly understand the concepts of the subject.” (college calculus student)

✏️ “George did an excellent job working with our daughter over the past year. He built her confidence and knowledge base so she could execute complex math problems under time pressure. We believe that one of George’s key strengths is his ability to work with strong students in advanced classes to achieve top performance. In addition, our daughter had fun working with George. We will use him in the future.”

✏️ “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.”

✏️ “George is like no teacher I’ve ever had. He takes what looks like a hard Math SAT problem and simplifies it so everyone can understand.”

✏️ “We can’t say enough about how good a teacher George has been throughout the years. We feel that our children are well grounded in fundamentals and have the confidence to take on any academic challenge in the future. George is devoted to his craft and a truly unique academic tutor.”

✏️ “George is by far the best teacher I’ve ever had! The way he teaches and presents the material is unlike anything I’ve come across. I’m not sure why I’ve never witnessed this way of teaching before, because it clearly works! The math really does become clear with George at the reins. When I look at any sort of math problem, I can truly say I understand all the pieces and how they interact. My way of thinking about math has always been a way that has irritated and frustrated my teachers because I don’t always catch on as fast as the other students would. George is able to pick up on this and teach the math at any angle to suite my learning style. I am highly confident that he will do the same for you!”

✏️ “Beginning with the very first session, my school work became much easier. George helps me understand math in a way I never did before.”

✏️ “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.”

✏️ “The SAT Subject Test for Math Level 2C is not like the normal SAT math section. The normal SAT math section has easy math that really just tests one’s problem solving skills. On the Math Level 2C test, both one’s math skills and problem solving skills are tested with more rigor. George taught me how to link all the topics I needed for the test and more to allow me to see many different methods of solving each problem. On top of that, he taught me how to pick the most efficient and accurate method so I would have plenty of time to spare to check my answers of at the end of the test. Because he taught me how to connect so many topics, sometimes solving one problem a certain way would reveal the solution for another problem on the practice tests. On the practice tests I was able to score very high with ample time left, and on the actual test I scored a 780.”

✏️ “What a revelation to learn that instead of being bad in math, our daughter just wasn’t being taught in the manner in which she learns best. George identified her individual learning style and the results have been astonishing. He does a superb job of dovetailing his tutoring of math at the high school level with his preparatory course for the math portion of the SAT.”

✏️ “George is a pro. He has years of experience tutoring students lacking self confidence in math. He covers all the foundations, enabling the students to succeed. George has tutored my son for two years. In that time, he has grown into a good student who loves math and gets the grades to prove it. His success has been empowering and translated across other subjects. Besides being and excelled teacher, George is a genuinely nice man. My son and I are big fans.”

✏️ “George is the best math teacher I have ever had the pleasure of working with. Before I met George I had a 670 on my math SAT, and now I am getting 800’s consistently. I owe it all to George because he is constantly pushing me to work hard to achieve my goals. He teaches me more than I need to know so that I understand all the math on a higher level. George has always supported me and has made me a better learner.” (800 SAT math)

✏️ “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)

✏️ “After the first couple of math tests at the beginning of my sophomore year of high school, I knew I needed help. After just a couple of sessions with George I immediately became a standout in the classroom, consistently on the verge of a perfect test. George rebuilt the foundation of my mathematical skills, allowing me to see the ‘big’ picture and to intertwine new ideas with old concepts. His ability to aid me in understanding the undercurrents of what my teacher was lecturing on in school allowed me to excel in the classroom. I have had George as a tutor for three years and he has inspired a sense of appreciation in the workings of Mathematics that I am now considering pursuing the subject as a major in college.”

✏️ “George re-defines the definition of tutor. We have never met anyone with his credentials, mastery of the subject and infinite sense of caring and can-do attitude. The stress level as it relates to school work has gone way down in our home since he began tutoring our daughter. We only wish we had met him years sooner.”

✏️ “George has instructed our son and now our daughter. We have found that George tailors his teachings to meet our children’s individual needs and not just the ‘text book’. George covers everything and then he covers it again making sure they understand thoroughly. It is with great confidence and pleasure that we recommend George to be the very best available!”

✏️ “When most people think of a ‘tutor’ they think of an individual that helps with a particular subject area, usually through studying or practice. When I think of George I find the standard definitions of ‘tutor’ no longer apply. Although George is great at ‘traditional’ tutoring he has a skill set that enables him to do so much more. His ability to teach material in a way that is easily comprehensible makes learning material unbelievably easy. I started with George in the 8th grade when my math grades were not so great. He took my grades in my 8th grade algebra course and turned C’s into A’s. Five years later I graduated high school with an 800 in my math SAT, a 790 in my math SAT IIC, and an A- in AP Calculus BC, the most difficult math class ever offered by my high school. George truly is the best, from science, math, and in my personal case, computer programming. George has the esoteric knowledge and raw intellect necessary to come through on his business name and `instruct thoroughly’.”

✏️ “George has been an excellent tutor and mentor to me. When I started with him I was failing my geometry class. Within only a couple months he helped my grade go up by three grade letters. Thanks to him I will be finishing the years with a solid grade. Not only has he helped me academically but he has also made me more confident in my classes and work. At my hardest struggle, George took his time to spend many extra hours with me. He teachers like no other teacher and is able to make strong connections with his students while teaching the best techniques and strategies to solving problems.”

✏️ “I wish we had found George sooner! He has done a wonderful job of not only teaching the current year’s math, but also of going back and filling in the missing pieces of our son’s mathematical foundation. He has helped him in the sciences, and as we move into SATs, I expect to see his positive influence there as well. Our son in a more confident student because of George. However, I think George’s greatest strength may be sensing what learning style fits our son and being able to adapt on a given day to what he needs, both emotionally and scholastically.”

✏️ “George recreates the art of tutoring: he is like a muse who inspires learning as an art.”

✏️ “SAT, PreCalculus, Mid Year Exams – not something you want to think about, especially not all three and trying to cram all of them in less than five months. Before George I can say that to do all this and do well would be impossible; I had no confidence in myself. Finding George and getting tutored by him has been one of the best decisions my family made as he turned something that seemed hopeless to something achievable. As a student, I know that schools have a set curriculum where their goal is to teach everything they need in one school year, but sadly in doing so they rush; they teach their students to solve things a certain way with the no explanation of why or how they got there. So before George I was basically a robot taught to memorize everything with the explanation of ‘because that’s just what you do’. George, on the other hand taught me the basics, teaching how and why things worked, what is really going on in a formula or an equation. He taught me each and every bits and pieces of math to help understand why things are the way they are. I now understand math more that I have ever did. Not only that but after really understanding something he goes above that to where he introduces more complex things to keep the mind going, building on the strong foundation that he has created. This showed its work on the SAT and in school. The SAT (Math) is all about understanding and thinking skills; George helped me to improve my thinking skills and understand math problems. At the same time he help me to easily do things in school with his teaching; things that seemed difficult before are now much easier to where now I can see how it works, identifying the building blocks of math to help me solve the equation. George is the best tutor and teacher I have ever had in my life; he has a superior understanding of math and he used it to help me get high scores on the SAT and high grades in school. He has proven to me that he loves his job, to help and see his students succeed, using every bit of time productively, encouraging his students that they can succeed with his teachings and hard work. George has done so much to help me succeed in school and on the SAT. I could not have asked for a better tutor. Now it is time for SAT II, where I am certain that George will help me achieve a high score.”

✏️ “We knew our son was brighter than his grades were showing. George did wonders, going back to basics and making sure he really understood the underlying concepts for both math and chemistry. His grades have improved, his confidence is back, and he recently hit the 700 mark on his math SAT. Now, if only we could send George to college with him...”

✏️ “I understand my math now, I can go to class knowing the material on the test and am confident on what I need to know to get a good grade, I have gone from failing in math to being an A student.”

✏️ “George has been working with my son for the school year and his Math grade has moved up by a full grade. More importantly, he now has a solid understanding of Algebra as he moves on to High School. My son’s confidence level has soared too. George knows what is important and he makes the experience fun as well.”

✏️ “George is a natural; he not only tutors but teaches the student how to study and how to approach each subject. Math becomes an enjoyable experience. His teaching habits take over and the student shows a remarkable improvement in his all around school work. His method of cultivating a close relation with the student and his involvement in their overall school work is producing great results. I only wish we had someone like George when I went to school.”

✏️ “George hands down takes the prize for the best overall math tutor. He brought my math SAT score up 220 points while maintaining my honor role status. George is an authentic man who truly cares about his students.”

✏️ “George is a wonderful example of a professional instructor for mathematics and science. The quality of instruction administered in a calm, patient, and open manner reflects his true concern for the student. The dialog that exists between teacher and student is superb, as the knowledge that is sought and shared establishes itself. We are glad that academia has produced such a top notch instructor for our son.”

✏️ “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.”

✏️ “Frustrated by the lack of tangible Math achievement in my children, who are good students, through their middle and early high school years and with one facing the SATs in the spring I needed to act fast… I decided to tutor them. After trying a few tutors where the fit was never quite right I stumbled on to Perdocere and from day one my problem was solved! George understood completely what I wanted: to improve their math school work, prepare for their SATs, but also to make sure that they knew MATH. I asked George to make sure that all his math tutoring would stick; I didn’t want them to ‘just learn it for the test’. His success is tangible. They have great grades and success with the SAT. One of them said to me ‘Mom I learned more in four hours with George than I did all year in my math class!’ ”

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