Math Tutoring • Aspen, CO • Hundreds of Testimonials and Esteemed 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

✏️ “You are the best!”

✏️ “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!”

✏️ “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”

✏️ “We give high praise and appreciation to Dr. George for the effort and care he has put into our son’s math and science tutoring! Our 8th grade son just received his SSAT score report and is in the 99% of the Estimated National Percentile! Also, just as wonderful, is the noticeable increase in our son’s self-esteem and confidence! Dr. George has shown that his consistent and kind approach to teaching can lead to a strong sense of self! Thank you so much Dr. 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)

✏️ "George knows exactly how to prepare you for standardized tests. He provides you with more than enough preparation to succeed. I worked with George for about eighteen months, and I got an 800 on the math SAT, a 36 on the ACT math, and a 99% on my final exam in honors pre-calculus. Only George can bring the perfectionist out of you.”

✏️ “Thanks to George I am getting an A in honors pre-calculus. Not only am I understanding the material fully, I find myself thinking outside the curriculum and trying to learn more advanced math. Only George could have taught me this high a level of math, and he is currently preparing me for advanced placement BC calculus. I am 100% confident George will help me conquer that class too.” (800 SAT Math, 800 SAT Math Level 2 Subject Test, 36 ACT Math)

✏️ “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.”

✏️ “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.”

✏️ “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.”

✏️ “Initially we brought to George tutor our daughter in AP physics. He ended up tutoring her in both Physics and Pre-Calculus. He also provided help in preparing for SAT and ACT exams. We were very pleased by his dedication as a teacher. He goes above and beyond the average tutor by following up on exam results and checking in the night before to make sure she was ready or to answer any last minute questions. My daughter truly believes she would not have made it through those classes without George’s help.”

✏️ “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.”

✏️ “George is an excellent teacher because my daughter’s grade in math has gone from a C+ to an A through out the school year.”

✏️ “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...”

✏️ “A word of advice: start with George early. Building the proper foundation in math is crucial to getting good grades in all years of high school as well as good SAT math scores.”

✏️ “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 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!”

✏️ “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 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!”

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

✏️ “George gave our son the tools and confidence to achieve results above and beyond what he believed was possible. He is a terrific teacher.” (college student parents)

✏️ “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.”

✏️ “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!’ ”

✏️ “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, you are perpetually a star! Thanks so much for all your help with our son. We are so very appreciative.”

✏️ “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 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.”

✏️ “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.”

✏️ “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 would heap praises, but facts speak better. With a ‘C’ in 8th grade math, and teachers happy with ‘the C’, which translates to just passing 8th grade MCAS at the cut-off grade, we looked to George to teach our child. The weekly two-hour session is productive and fun for our child! We would never have imagined our child sitting for two hours on High School Algebra – but it happens every week – only with George. George finds a way to teach and convey concepts in math – overcoming our child’s learning disabilities. Our child brought home a B+ in Algebra, and in one Algebra quiz, got the first time ever 100%. Our child has gained confidence which beats the frustration and ‘I hate math’ during 8th grade.”

✏️ “George is a truly amazing teacher. Not only is he incredible capable and knowledgeable but also sincere and caring. He knows how to captivate a student’s focus and how to motivate them. There is nobody better than George!”

✏️ “Who you gonna call?? We have relied on George for both of our daughters in tutoring Mathematics and Chemistry. I noticed George’s ads, called him and the rest is history. For my older daughter, we began seeing George in the second half of her junior year. She needed a quick review for her upcoming SAT, after having scored in the 600’s for her PSAT. She received a 730 on her first try. In addition, my daughter was struggling in her Precalculus course, despite studying under a different tutor earlier in the year. George salvaged my daughter’s junior year math grade, and she ended the year with an A-, after a rocky first half. He takes a very methodical approach to teaching, and doesn’t believe in shortcuts. To excel, the student must understand the concepts, and not simply memorize rules. We called on George again to help my daughter through her senior year Calculus BC course, as well as to tutor her for the retest of the SATs, for the Math II exam and for her AP exam in BC Calculus. Needless to say, the results were stellar. She improved her SAT math score to a 780; received a 790 on her Math IIC exam; eeked out an A- in her BC Calculus course for the year, and topped it off with a 5 on her AP BC Calculus exam. She was thrilled particularly with the AP score, because it satisfied her Math requirement in college. But guess what? She may become a Computer Sciences major, and is probably going to have to take a lot more math. And she can approach college math with confidence, given the solid foundation George provided her. My younger daughter is a junior in high school and is taking AP Chemistry. She loves the subject, but was finding the subject matter increasingly challenging during the fall semester. We called George, he taught her for three sessions and she was thrilled to get an A on her mid-term, and an A for the fall semester. She was impressed with his thorough understanding not only of the subject matter, but of how the teacher required questions to be answered. He discerned that the teacher required responses that exactly followed the AP test… my daughter adjusted her answers accordingly. I think we are going to have to call on George again soon…the material is becoming challenging again, significantly more difficult than the questions on the Chemistry AP exam, and we take comfort in knowing he has complete mastery of the material and boy, does he know how to teach! — A happy parent.”

✏️ “I have had many math teachers in the past, but I have never had a math teacher like George. George is the best math teacher I have ever had; no other teacher I have ever had can even compare. It seems like my other teachers has a lesson plan and tried to make me adapt with the lesson plan. George builds his lessons around what I am capable of, so each lesson is completely learned to its fullest. He has even helped me catch up after past teachers have brought me down and held me back. I am extremely thankful that I was able to meet and learn from George, and I hope I can continue to learn from him.” (‘A’ in Honors Pre-Calculus)

✏️ “You helped our son have a dream come true, thank you.”

✏️ “George has helped my daughter realize that she really could understand math. Her improved test scores inspired her to work harder, not just in math, but also in all her classes. Her confidence and ambition both grew as she realized that she could master a difficult topic. George has the gifts of a good translator and teacher, he listens extremely well and then uses words and descriptions that can help students decipher difficult concepts. George’s approach to learning, studying, and preparing are completely transferable across many subjects.”

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

✏️ “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.”

✏️ “Ever since I began my sessions with George, I have significantly improved my mathematical skills and have consistently been able to maintain high test scores. George has restructured my foundation and constantly solidifies key concepts, which help me to take each problem step-by-step and achieve the correct answer while truly learning the material. George not only helps to get the correct answer but also goes far beyond what is asked and works out multiple solutions to the simplest and most difficult problems. George is able to break down problems into manageable pieces unlike any other math teacher I have ever had. I commend George for his knowledge on the subject. I know with George’s help and positive attitude, I am confident that I will do well. Without George both my algebra and chemistry skills would be nothing like they are today. Thanks George and I can’t wait for another successful year!”

✏️ “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.”

✏️ “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 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 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.”

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

✏️ “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)

✏️ “We are ecstatic about the progress George has made with our daughter’s math scores. He has instilled possibility when she knew only defeat. The experience of success in math has given her tremendous confidence. Higher math had been out of her reach, but now it is easily grasped. George’s knowledge is boundless, not only in math, but also in knowing how and when to motivate psychologically and emotionally. He is always prepared and upbeat and he keeps each session moving enthusiastically. Our hope was that George would just give our daughter the ‘jump start’ she needed, but in fact, he has become a part of our lives for years.”

✏️ “I’m in honors math. However, I couldn’t handle Algebra-II as well as Honors Geometry. So my grade began to slip so my parents called George. It was the best decision. George knows everything about math and he was able to guide me through the daunting path of Algebra-II and Trigonometry. He made everything less intimidating, and within no time, my grade was back up. George is definitely going to be my tutor next year.”

✏️ “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 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.”

✏️ “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.”

✏️ “He takes the time to understand the individual needs of our child, and goes the extra mile to make sure our son has all the material needed to be successful. He builds a clear picture for success with forward thinking and planning, makes sure the child is at ease, and provides great feedback on each lesson.”

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