Hopwood 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

✏️ “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 is very involved in making sure our son is studying the material he needs to succeed and getting a clear understanding of what is expected of him. George takes time each week to prepare for our son as an individual. Our son enjoys the way George teaches him; it’s a great mix of teaching and really caring about the student. We know George was the right choice, our son went from failing to passing with an A.”

✏️ “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!”

✏️ “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.”

✏️ “George brought my grade from 63 to 100. Enough said.” (Honors Algebra II Student)

✏️ “Believe it. It’s true. Before George started tutoring our daughter, I read every single one of the testimonials on this website. It was clear the students and families were overwhelmingly pleased, but could he teach our child? It took mere minutes before I heard our daughter say, "Oh I get it! That’s easy" At that very moment, two things happened. I quietly breathed a sigh of relief because I knew we had found the perfect tutor, and our daughter began to believe in herself. The big question in our house a few months ago was “What are we going to do about math?” Now we’re looking far ahead and wondering to ourselves, “What will she do with math?” ”

✏️ “George is a tutor extraordinaire. He is a born teacher who genuinely enjoys the kids he teaches and the work he does. He inspires his students to do their best and is able to establish a rapport with each of them. George has tutored my three teens for several years, responding to each one’s different abilities. He has helped them in all kinds of math, chemistry, physics, ACT, SAT – you name it, George can handle it! George has given each one a very positive learning experience, leading to greater self-confidence and enthusiasm for the subject matter. George encourages each child to take responsibility for his or her own learning. George has a wonderful ability to present concepts in a highly organized manner. All three of my kids report that George’s explanations are better than what they received at school and help them to really understand the concept as opposed to a mechanical application of ‘the rule’. None of the three ever grumbled about working with George. If they are having difficulty with a topic, they don’t panic because they know George will explain it and help them understand the issues. They all three see George as a friend as well as a tutor, as do I. When my two oldest are now home from college, they love to visit with George and bring him up to date on their academic progress.”

✏️ “With George SAT preparation is not just about the test. It’s also about confidence, George is capable of getting a great effort from the student and perfection becomes an attainable goal. When the student aims for 800 in the SAT with George even a score of 780 becomes a disappointment. George has been a godsend in that respect.” (800 SAT Math)

✏️ “George was a great teacher to have while I was preparing for the SAT. He really took the time to get to know what my strengths and weaknesses were, how I worked under test conditions, how I approached problems, etc. Just after one session he knew how to guide me and helped me set realistic but challenging goals. George made sure that I had clear and basic foundations for solving problems and then worked with me step by step until everything was clear and I was confident about how to handle similar problems. His teaching not only helped me through the SAT but has also followed through into my everyday school work. His enthusiasm and dedication is really meaningful and one thing for sure is that George knows how to teach.” (280 point SAT math increase)

✏️ “I used to hate math and everything to do with it. But now that I’ve been working with George and I am ahead in my work, I absolutely love math now. I can’t even tell you the satisfaction I get when I know all the math in class the first time the teacher tells us. Also, my grades couldn’t be better right now, and it is all due to George”

✏️ “This year our son attended the Perdocere Math SAT Prep Course. George’s clear, well-presented explanations and thorough review of the SAT Math was very helpful. We finally found someone with a high-level math knowledge base and also with the unique and most important quality – the skill of teaching in a manner that is understandable. George has helped our son gain knowledge, skill and confidence.”

✏️ “Perdocere Math Tutoring with Dr. George was the best decision we ever made for our son. George has not only given our son the knowledge and understanding of math, but the confidence to master it. He has given him the skills and confidence he needs to truly be a success. We can thank him for not only the math skills learned but also his advice in SAT management and preparedness and in interview techniques. We give Dr. George a perfect score!”

✏️ “I missed a year and a half of school and George has been very helpful in getting me caught up in math.”

✏️ “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 is the best math tutor our daughter has ever had. He has given her the critical skills to understand, encode and recall mathematic principles to achieve her best possible classroom scores.”

✏️ “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)

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

✏️ “George has reinvigorated my son’s interest in math and confidence in his abilities. Each week, George would carefully focus on classroom assignments, while bolstering broader areas of study. Lessons were purposeful, positive experiences, which immediately translated into improved test scores and a more meaningful understanding of concepts. My son was able to introduce advanced strategies in the classroom, and his teachers consistently remarked that his contributions greatly enhanced their class discussions. George has a warm personality and a true gift for teaching material in a compelling, yet fun, manner. My son truly enjoyed the experience of working with George, and has emerged as a far stronger student for it.”

✏️ “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)

✏️ “George is hands down the best tutor we have ever encountered. He understands that students cannot excel in math unless their knowledge is built on a solid foundation. In tutoring my daughter, he returned to basics, discovering areas of weakness and explaining misunderstood concepts. A comment that my daughter made in passing, “I can ask George any question about math, and he can answer so that I can understand.” While he is conservative in making promises about outcomes, he committed himself 110% to ensure as successful an outcome for my daughter as possible. Our first goal was to achieve strong performance on the math SAT, where he approached the subject matter in a methodical, knowledgeable way, she scored a 780 on her first math SAT. With that successful experience under our belt, we then wanted to ensure strong classroom performance for the fourth quarter of her junior year. My daughter was receiving B+’s in her honors pre-calculus class (and averaging B’s on her tests and quizzes), but the subject matter became increasingly more challenging, and she was faltering in her ability to grasp concepts, particularly with respect to the topic of probability. George worked week in and week out to review the various chapters with my daughter, preparing her for tests, encouraging her after a difficult test. She received a B+ for her fourth quarter work, which I believe would have been significantly lower without George’s help. In order for my daughter to achieve an A- for the year, she needed a 95% on her final exam. George worked tirelessly to help her achieve this goal, but again was cautious in guaranteeing any results. My daughter and I were thrilled to see her report card a month after her final, with an A marked clearly for her final exam! We look forward to George helping us negotiate BC calculus as well as the Math Subject II test in the fall!”

✏️ “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.”

✏️ “800 – we thought that sort of score was something unattainable – something that only a few gifted students achieved. And now our son (who we love dearly but never considered to be a particularly gifted math student) has brought home 800s twice – once on the SAT and once on the SAT II. We attribute so much of this achievement to George. He restructured fundamentals and taught our son to enjoy math once again. George consistently challenged and pushed – but never too much. He displayed patience and a wonderful gift for explaining things. As our son told us, George not only works through problems but teaches how everything evolved and why everything is what it is. We couldn’t ask for a better teacher. We really don’t have enough adjectives to describe George’s teaching ability. He is absolutely the best teacher that we have ever seen!!! George – your job with number one son is almost done – it is now time to move to number two.” (800 Math SAT, 800 Math IIC Subject Test)

✏️ “George has been active in the academic lives of our two sons for the last four years. Each learns in a very different manner but, amazingly, George has been able to unlock both of their intellectual personalities. He consistently gets to the whys and wherefores of mathematics and is tireless in ensuring that his students’ math foundations are strong. He motivated our oldest son so much that he now is majoring in math in college. He has guided our second son to the top of his math class and now beginning to guide his SAT studies. George proved that an ‘800’ was possible; perhaps he can make it two in a row. George is always willing to go the extra yard to help his students and takes a sincere interest in their success. George has a gift that few have – a brilliant intellect coupled with an intuitive ability to teach. I count on him as part of our family because of the time and effort he has devoted to the education of our children.”

✏️ “I’m proud of my accomplishments since he has worked with me.”

✏️ “George has been working with my son since June. When I called George we had a great conversation and I explained the math issue my son was having. He understood the issues and had a solution and a game plan to attack the problem. Since working with George my son’s math comprehension and retention has improved. But more importantly, my son looks forward to working with George weekly and requires no prompting to be prepared for tutoring. He uses positive reinforcement to engage my son. Currently, George is working with my son on SAT preparation. The strategies put in place will allow my son to do well on the SAT exam.”

✏️ “George is a godsend. He breaks math down in a language students understand while making the process enjoyable. By laying out the mechanics of math, he lays down a foundation for comprehension the student carries forward throughout their academic career. He also gets results. My son quickly grasped the concepts and went from a C+/B- student to an A student. He also moved up two class levels in his math placement. His improvement correlated directly with his confidence, which soared. He now thinks of himself as the math guy. The greatest compliment is that I recently asked him what he wants to be when he grows up and he said a math teacher.”

✏️ “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)

✏️ “George’s teaching has not only allowed me to conquer complex calculus problems, but has also taught me the specific processes needed in order to crack several SAT problems. Immediately after entering Advanced Pre-Calculus my junior year I fell behind, unable to solve problems and make critical connections. However, with George’s help, I improved dramatically, impressing not only myself, but also my teacher. I ended up finishing the year with an A, a real feat in the challenging math department at my school. After George boosted my confidence in solving problems, particularly by breaking them down into manageable pieces and explaining proofs behind equations, I knew I could take on the rigorous AP Calculus course at my high school. Sure enough, his relentless attitude and determined spirit earned me an A for the first trimester and on my midterm exam. After starting with George in the 9th grade, I would have never thought that I could make it this far. Our compatible personalities and George’s vested interest in my success led me to gain a high SAT score and consistently excellent grades. For George it is never ‘I can’t do this,’ but rather ‘how can we solve this problem in more than one way to truly understand the concept?’ I am confident that George has provided me with a solid foundation that will allow me to succeed in college mathematics and ultimately my desired career path.”

✏️ “When I began my sessions with George, I was very apprehensive. I didn’t enjoy math and spending two extra hours outside of school was not something that I looked forward to. As the weeks went on, my confidence in my abilities skyrocketed. George quickly defined my problems, and made a long lasting impression on the work I now do. Not only did my scores dramatically increase but so did my school work. I now approach problems differently and find math to be more enjoyable. George is a wonderful teacher and I cannot explain how much he changed my approach to math. If I have any advice, it would be to listen to everything he says. He knows what he is talking about and the next time I walk into a mathematical minefield I know there will be a trap in the dusty corners that I can conquer. Thanks for everything George!”

✏️ “The first time I took an SAT math practice test, I scored a 540. I was confident in my math skills, but I still scored quite low. After learning with George, I realized that my problem solving skills were not refined. George taught me how to think. The SAT math section does not actually have any extremely difficult math. The real tough part is solving a problem efficiently and accurately. George taught me how to connect many topics of math together to do this. By the time I was ready to take the real SAT, I was scoring 800’s on the practice tests.” (800 Math SAT)

✏️ “Who would have thought that my son would become a curve breaker! Through the years George has instilled a great store of fundamental mathematical knowledge. On this foundation our son was able to grab Calculus by the horns and completely master it.”

✏️ “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 has been an invaluable asset to me. Ever since I began seeing George five years ago he has been there to help me through whatever material I was struggling with. Whether is was my eighth grade algebra or my senior year AP calculus George has been able to not only teach me the material but to have me understand it as well. George helped me to get the 800 on the Math SAT and was even able to teach me in biology as well. After trying other tutors I can say without any reservation that George is the best out there. George presents the material in a way that is easily accessible and learnable, making sure that each student is able to learn the material in his/her own way. For my part George has both my thanks and respect for all that he has done. I can’t recommend his services enough and urge you, if you want to see real results George is the one to use.”

✏️ “George is very patient and explains everything in language that I can understand. He always encourages me and praises my accomplishments. I know that my SAT scores will be the best I am capable of. George has really made a difference!”

✏️ “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.”

✏️ “George was everything we’d hoped for in an SAT tutor – and more. Just by the enthusiasm our son had for completing the between-session assignments (‘George work’ often came before homework!), we knew we’d made the right choice. Not only did he feel totally confident taking the SAT, his time with George helped him sharpen his ability to complete regular school assignments, as well; he is now tackling honors calculus with ease. Our son fully recognizes how much he benefited from George’s coaching: when his math SAT score came back 130 points over his first attempt, he said: ‘Way to go, 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.”

✏️ “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)

✏️ “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.”

✏️ “Following a couple of years with disappointing math teachers, my son was struggling in his Algebra 2 course – and then the pandemic hit, and distance learning compounded his problems. At this point we reached out to George. George took the time to work back through the older material to build up a strong foundation for future success. The first few months were triage; even so, we noticed improvements in performance almost immediately. In addition to laying a strong mathematical foundation, George has done a great job teaching my son solid study habits and test-taking strategies. My son is comfortable with the material and confident that he will perform well on his tests. I am certain that my son is now on a trajectory that will guarantee success in math through the end of high school and beyond.”

✏️ “Math had never been my strong suit, but in only a short time tutoring with George, my math SAT score increased by more math 100 points. More importantly, I find myself realizing that math can, indeed, be fun and interesting. George’s teaching style is engaging and his enthusiasm for even the most mundane math is contagious, spurring me to apply myself to my studies. George delineates even the most impenetrable concepts with patience and clarity. I greatly appreciate the deeper understanding of math that George has imparted to me, and I look forward to the future!” (780 SAT Math)

✏️ “My daughter went up two letter grades from a C to an A. In my book George gets an A+.”

✏️ “George is awesome. He pushes me hard, but it is because he knows I can do it. George is so smart. He has a thorough knowledge of all the material and he makes sure that I learn it just as completely. His one-on-one sessions really give me a chance to get a better grip on what we are learning in class and to explore deeper some of the things we do not get a chance to spend a lot of time on in school. As a result, I am a very confident math student.”

✏️ “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.”

✏️ “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’.”

✏️ “Our son was diagnosed with lymphoma during his freshman year and has been out of school for a year and a half. In addition to feeling sick from all of the chemo treatments, he was feeling hopeless that he would ever be able to catch up with his schoolwork. What he wanted the most was to catch up in math – Algebra II. George was the answer. For almost a year now George has been teaching him in our home for 4-6 hours a week. Not only is he catching up but he is also maintaining an A average and he will be able to enter his junior year this fall feeling completely confident in his math knowledge. We are so grateful to George for that. Although he has a long way to go catching up in all his other subjects and he still has another six months on chemo treatment, he is ready to get back to his life as a normal high school student. Couldn’t have done it without George! Thank you for your dedication to our son – mathematically and emotionally!!”
“George is a great tutor and a very nice person to talk to. I would recommend him for anyone.”

✏️ “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!”

✏️ “Working with George has been great and I really look at my classes in school in a different way. I know that I can rely on George to go that extra mile to make sure I really understand what I’m learning, and that makes school much more manageable.”

✏️ “Having George as my math and chemistry tutor was a very very different experience compared to other tutors. He could identify exactly what I needed not just in terms of the things I was studying but also in terms of the broader plan. His teaching method was also very patient, effective, and thorough, and I could understand all the material with ease. Having tutoring sessions with him has taught me much more than math and chemistry. I also learned many other things such as study methods. He is a highly recommended tutor.”

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