Carmichaels 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

✏️ “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.”

✏️ “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)

✏️ “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.”

✏️ “Throughout the SAT math class, George has made all the questions that are considered hard seem so easy. He has also shown me different ways to come up with an answer for each question. This has caused my math grades to improve!”

✏️ “We felt like we struck gold shortly after George began to tutor our son toward the end of his junior year. The impact was almost immediate. He skill level went from a fail to pass in a few sessions. George has an expertise in communicating math and science surpassed by no one. He was able to identify and fill in the gaps in our sons math education in two-hour per week sessions when regular classes and after school failed. Our sons precalculus and calculus teachers were unable to communicate the subject matter in a way that our son could understand. Our son proclaimed that George was the best math teacher he ever had in his entire high school career. He had somebody who could explain abstract concepts in a way he could understand. George prepared our son for the SAT exam and continued tutoring our son during his senior year in high school for advanced math. Honors precalculus and calculus are hard enough subjects for anybody to grasp or master, but they are especially difficult when you have a learning disability. We have no reservation in giving George our highest recommendation.”

✏️ “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.”

✏️ “I don’t know how I would get through high school without you.”

✏️ “Our middle school son has a broader, deeper understanding of math concepts since working with George. He no longer memorizes formulas without knowing the why’s and how’s of problem solving. George can teach tough math concepts in an understandable way that translates into learning!! The success our son feels in mastering the math is a great boost to his self esteem. He just got an A+ for the year in eighth grade algebra.”

✏️ “George tutored my daughter in math this summer. He clearly has knowledge and patience to tutor with confidence. He took pride in making sure my daughter understood the material covered, without tests and grades, only with positive feedback and enthusiasm. Thank you.”

✏️ “Over the past three years, George has become the family’s de facto math and science consiliari. He has not only guided our first son to a string of 800’s but instilled in him a sense of academic confidence and curiosity that will serve him well in college. He also started down the academic path with our second son this year – a very different learner than the first – yet he has struck the appropriate chords with him. George is a born teacher. He is enthusiastic about his subjects, explains and teaches in a clear and logical manner, and patiently drives the learning process. We can always count on George and will continue to rely on him in the future.”

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

✏️ “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 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 is a great tutor and is a great person to work with and not only has helped me learn, but also improve the quality of my work and has helped me change my style of doing math into an easier and more comprehensible method.”

✏️ “George, over the past few months, we have been amazed at the progress you have made with our daughter. While the improvement in her ‘trial run’ SAT scores has been significant, of equal note has been the change in the way she now approaches math problems: she thinks differently! Your ability to explain the processes behind the formulae, and the way that you teach to each student’s strengths, is a thing of beauty… For a 17 year old to stay focused on math over and entire summer is a testament to your ability to engage someone’s imagination and intellect. I am grateful for all of the encouragement and focus you have provided. And, while I look forward to much improved success in our daughter’s upcoming SAT scores as a direct outcome of your work, I also appreciate the confidence you have helped her build over the summer. She is clearly far more prepared for the tests ahead than she was in early June. My only regret? We didn’t do this sooner.”

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

✏️ “Far more than a brilliant teacher, George’s warm and positive attitude has been truly therapeutic by giving our daughter a new confidence and competence in math.”

✏️ “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.”

✏️ “Thank you for your excellent help during our daughter’s absence from school. She returned not missing a beat in Trig and Chemistry. Not only that, your joy in teaching the material and encouragement further increased her interest in both subjects and boosted her confidence. We hope you will be able to continue working with her – it is such a pleasure to watch a child bloom academically!”

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

✏️ “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”

✏️ “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.”

✏️ “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.”

✏️ “Math SAT 800, 36 on the ACT Math, and 99% in Math Honors Pre-Calculus. In the time that we have worked with George that was the result. I do not believe anybody could have achieved better results. George, however, makes it look easy. What else can you say.”

✏️ “George has been tutoring me for eight months. While he has a relaxed personality, he thoroughly explains all important concepts and makes sure that I full understand the topics before moving on. His knowledge is vast and I really enjoy working with him.”

✏️ “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.”

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

✏️ “We are absolutely thrilled with what George has done with our son. He has instilled a sense of confidence, made him realize that he can excel academically and allowed him to set his sights on things that he never thought he could achieve. George is incredibly knowledgeable, extremely approachable and a fantastic teacher. He has gone out of his way to make sure that our son is always prepared for his next challenge. George will be part of our family’s academic life for years to come!!”

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

✏️ “My son is a typical middle school boy – more interested in sports than school. George has been able to motivate him to want to learn and excel in math. His teaching approach has been tailored to my son’s learning style with good results. His enjoyment, understanding, and confidence in math has increased significantly. To realize that my son’s math foundation is solidifying for the high school years is a comfort.”

✏️ “George knows his stuff! He’s helped me go from an average student to an above average student in my Advanced Algebra class. He has improved my study habits and mathematical confidence.”

✏️ “I am happy to have George as my daughter’s tutor. He is thorough and organized and has helped my daughter understand the subject better. I am pleased with my daughter’s improved performance in her school quizzes and tests. I highly recommend George.”

✏️ “I wish all students could have the opportunity to have such an excellent teacher.”

✏️ “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 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.”

✏️ “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.”

✏️ “George enthusiastically provides the most positive atmosphere for thorough understanding, solid development and concrete achievement in mathematics. He teaches in the spirit of a love for learning and instills an intrinsic desire for continued learning and understanding. George holds our daughter to a higher standard of achievement which she reaches for with great pride in accomplishment.”

✏️ “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)

✏️ “Once your child has worked with George, you realize what an extraordinary teacher he truly is. George not only teaches in a professional and organized manner, he has instilled self-confidence in our son that goes beyond mathematics. Our son respects George not only for his ability to teach him, but also because he takes an interest in him personally. George not only gives careful consideration about what is being taught now, but what skills will be needed in the future. Our son took a higher level mathematics course this year than was recommended, and with George’s help he was very successful! He is a wonderful mentor, something we never expected! Thank you George!!!”

✏️ “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.”

✏️ “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 am very happy to recommend your services to any family that wishes to prepare their children above and beyond what is found in the secondary schools curriculum. Our son who had a declining grade eight in middle school transitioned to Walpole High School and achieved honor roll status his freshman year. His continued Math and Science success is continuing now into his sophomore year and none of this would have been possible without your help. I can’t thank you enough for not only your Math and Study Skills help but more importantly your teaching the importance of life skills to our son. It has been said that ‘If you give a man a fish you give him a meal, however if you teach a man to fish you feed him for life’.”

✏️ “George is a great tutor. His math knowledge and his ability to teach it in such a way that my son understood it was amazing. My son improved his Math SAT score by almost 100 points. I highly recommend George both as a tutor and as a person. He made a huge impression on my son. Thank you so much.”

✏️ “Dr. George is one smart man! Not only has he brought our son’s math and science grades up to A’s, but he also shows our son the possibilities for his future! While some students crave the latest video games our son craves knowledge that Dr. George unfolds for him every week in a kind and consistent manner. Our student is looking forward to taking the SAT’s because Dr. George is preparing him fully! We know you can’t ‘cram’ for these tests and we feel privileged to have Dr. George teach our son now while he has ample time to prepare fully!”

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

✏️ “Thank you for all that you do for our son!”

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

✏️ “In preparation for high school, I asked George to find and patch the holes that we knew existed in my daughter’s math knowledge. Although my daughter has been an A student in math, it was apparent to me that she was getting by without really understanding the logic and meaning behind what she was doing in math. Because of this mechanics, memorization based approach to math, she found the subject to be her least favorite. George promised that he would find the holes in her knowledge and would then equip her with a deeper, more functional way of attacking math problems. In only a few sessions, the change in my daughter was evident. Her test grades improved, but most importantly, so did her confidence and creativity in finding solutions to math problems. My daughter happily sits through her sessions with George and is 100% engaged and happy. George is brilliant, thoughtful and kind and really understands how to work with kids. I feel that George is fully invested in my daughter’s success. I wish that all teachers were as wonderful and George!”

✏️ “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.”

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