Crystal Springs 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 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.”

✏️ “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!”

✏️ “George has worked with our boy for the past eighteen months. The improvement in his grades, as well as his overall approach to school work has been amazing. His own words sum it up ‘George taught me a new way of thinking. He retrained my brain to think the way he does’.”

✏️ “I love working with George. He is so intelligent and can explain concepts in so many ways that it is easy for me to understand. What I appreciated the most is how supportive he is. He makes me feel that I can achieve anything!”

✏️ “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.”

✏️ “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!’ ”

✏️ “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.”

✏️ “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 the best teacher I ever had.” (780 Math Level IIC, A in Level 1 Precalculus)

✏️ “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.”

✏️ “George is the best tutor that our family has ever used. No one else is even close. He quickly identified my son’s strengths and weaknesses, and then set about in an orderly, sensible and strategic way to fix the weaknesses. There was a purpose to every problem set or test that he assigned. George customized his approach to the individual child which in turn created ‘buy-in’ from my son, who realized that he was not going to be assigned busy work, but focused problems designed to address areas that needed work. Bottom line my son got a 55 on the PSAT math and 8 months later, with George’s help, got a 770 on the SAT math.”

✏️ “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.”

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

✏️ “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.”

✏️ “George has made such a big difference for our child – academically and personally.”

✏️ “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?” ”

✏️ “My senior year brought with it an abundance of math challenges. I had decided to enroll in BC Calculus, as well as take the Math II SAT2. I never considered myself to be particularly good at math, so I was very worried about how my various math undertakings would pan out – but, under George’s tutelage, I ended up doing better than I could have ever expected. Often investing extra time into lessons, George Patiently taught me enough about precalculus and calculus to raise my average SAT2 by more than 180 points and nudge my math grade to an A. George takes the time to explain the underpinnings of each theorem, never resorting to memorization when there is understanding to be had. Whenever I brought my confusions to George, he could explain with perfect clarity what had gone wrong in my calculations. Two years ago, I never would have envisioned myself having my current relationship with math – one where I can look forward to new challenges rather than dread tests and quizzes. Without George’s unparalleled skill as a teacher, I would never have improved in math to the point that I have. As a student, I cannot recommend George highly enough. More than achieve tangible results in terms of grades and numbers, I have developed an entirely new attitude towards mathematics thanks to George.”

✏️ “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!!!”

✏️ “I recently told a professional colleague about the most amazing man, Dr. George. She confessed that her son was bored in math and I shared that our son had admitted the exact same sentiment and that he too didn’t want to approach his math teacher because he would simply receive more homework instead of the progressive math education he was looking for. I told her that Dr. George has come to our house for three years, and every single time he tutors our son he has the same kind, upbeat, prepared approach without fail and that Dr. George is our best resource for MCAS, SAT and test prep hands down. He shows up more than prepared and always with the same sincerity every single time, simply to teach our son in the best way our student can learn. Simply put, we can’t do without Perdocere and our son’s grades are the proof!”

✏️ “Our student’s first week of school vacation has been exciting to say the least! He’s already six chapters into his AP Chemistry book for next fall and because he respects Dr. George very much; he’s enthusiastic about hitting the books. His “A’s” in both Honors Geometry and Honors Chemistry came in the mail yesterday and the smile on his face was priceless! Thank you George!”

✏️ “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.”

✏️ “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.”

✏️ “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.”

✏️ “Before I started working with George, I lacked the confidence and tools to complete my math year with a strong ending. After just three meetings with him I began to receive A’s rather than C’s. Not only does George teach with passion, but he also tailors his explanations and the presentation of the material to fit my specific needs. His commitment to my learning is exemplified by willingness and ability to describe the real content and meaning of the work rather than simply relying on the memorization of formulas. Working with George has made me believe that the key to successful learning is dependent on a great teacher – and George is a great teacher.”

✏️ “George started late in the year tutoring our son, in a very short time his grades were up. His scores on the SAT and AP exams were exceptional. However what is more important is that George is coaching him on how to study and not only tutoring him in a subject. He is helping him choose his courses, as well as guiding him through his high school years. The look on both their eyes while studying is one of pure joy. George is an exceptional tutor as well as a dear friend.”

✏️ “George enabled me to get an 800 on the math SAT and, for most parents, that may be all they need in a tutor. However, George isn’t just an effective tutor, he actually cares about the student. When I first started with George math was my least favorite subject, mainly because I just didn’t ‘get it.’ However, now, math is my strongest subject and I adore the class. George allowed me to not just ‘get by’ in my class, but to understand the material, and, through understanding excel. I can’t recommend George enough on both a professional and personal level.” (800 SAT Math, 36 ACT Math)

✏️ “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!”

✏️ “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 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)

✏️ “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.”

✏️ “George has a superior understanding of higher mathematics and science which combined with his ability to communicate abstract subject matter to the kids is like no other teacher we have known. As for results, George has guided our son from mediocre to excelling. His high MCAS scores are a measure of his dramatic improvement. His SAT practice scores steadily climbed to impressive levels, and he gained 240 points on the SAT math. George mentors and provides guidance with understanding to his students. Our son has developed a strong sense of purpose to do well which we attribute in part, to his mentoring. We’ve had George tutor both our sons. George is the best gift you can ever give to your son or daughter.”

✏️ “Before I met George, math was just another subject to painfully struggle through in order to achieve passable results. Once he and I began working together, it opened my mind to the possibilities that I could have with the joy of math. As my ACT math tutor, George made me realize how important a good work ethic, fun spirit, and a willingness to learn can create a love for something that I never thought I would’ve enjoyed. Now I can say that I am confident and happy in doing math not only for the sake of learning something new everyday, but also because George showed me how to take pride in something that I can do.”

✏️ “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.”

✏️ “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)

✏️ “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!”

✏️ “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 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 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.”

✏️ “When George takes on a student, for him it is not just a job, for him it is a commitment which he honors spectacularly. A commitment to help you do well in school and also a commitment to actually learn the subject matter.”

✏️ “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!”

✏️ “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 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.”

✏️ “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.”

✏️ “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...”

✏️ “George’s stand-out credentials and many years of experience made him our first choice when we searched for a math tutor for our high school-aged grandson. As it turns out, George’s singular talents go far beyond these qualifications. He quickly established a genuine rapport with our grandson and made a thorough assessment of his academic strengths and weaknesses. In this context, he went back and rebuilt our grandson’s foundations in math, filling in gaps that would no doubt have become increasingly problematic in the coming years. He improved our grandson’s attitude toward learning and noticeably grew his confidence. He showed him what and how to study and how to apply his new knowledge effectively. George’s mentorship has surpassed our expectations and has proven to be an invaluable asset for our grandson. We are very pleased to have found him and recommend him highly.”

✏️ “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.”

✏️ “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 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!”

✏️ “The SAT Subject Test for Math Level IIC is not an easy test. One must completely understand the topics that are covered to complete the problems, and one must have precision and speed to score high on the test. With George’s help, I was able to get high scores on many of the practice tests which reflected my real score. George has taught me the best ways to approach each problem; I can now solve each question quickly while understanding the math behind each question completely. I am very thankful that I was able to meet George, for his teachings and support allowed me to success on the SAT Math Level IIC test.” (780 SAT Math Level IIC)

✏️ “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.”

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