Goldsmith Math Tutoring • 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

✏️ “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.”

✏️ “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.”

✏️ “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)

✏️ “George is a great SAT Math tutor. His thorough knowledge of every part of the test definitely helped me to understand how to take the test in a better and more efficient manner. We tackled each problem as it came and not only solved it but broke down each component of the question so that we could easily tackle a harder version of the same problem down the road. In just three sessions of preparation with George my test scores increases by sixty points and branched into the 700 range. I believe that George’s attention to every detail of the test is what sets him apart from other tutors I tried and is what allowed me to do so well.”

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

✏️ “During junior year, Perdocere helped me prepare for several standardized tests in both math and science. Perdocere was distinctly more effective than the other tutoring organizations I tried. With Perdocere’s help, I earned a 740 on the math portion of the SAT I, a 760 on the SAT II Physics, and a 5 on the AP Physics B exam. George helped focus my hard work and succeed where I had to.”

✏️ “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 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.”

✏️ “Dear George. You saved the day. Or rather, the semester. The few sessions you spent with our son made a world of difference – not only to his grade but to his state of mind. You showed him not only that he could grasp the concepts of his math class, but that he could enjoy the process. Thank you, thank you, thank you. We are forever grateful.”

✏️ “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 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 a fun guy who knows his stuff. He is enjoyable to work with and the results are astounding.”

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

✏️ “George started working with our teen last year after being recommended (highly) from a friend. We were impressed immediately – he connected with our son and tuned into his style of learning from the very first session. Not only has our son improved in math, but the PSAT/SAT prep work he is doing now is sure to reap benefits during this coming year. We just wish we had found George years ago!” (700 SAT Math)

✏️ “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 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)

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

✏️ “We have had many tutors in the past and George by comparison is extraordinary. George’s weekly sessions helped my high school boys achieve never before A’s in their math classes. My husband and I were so impressed with his intelligence, dedication and patience. These qualities allowed my boys to truly understand SAT test taking and math strategies. We highly recommend George!”

✏️ “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.”

✏️ “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.”

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

✏️ “I am very impressed and happy with George as a tutor for my daughter. With his extensive knowledge, he can instruct her in both math and science, both for the classroom and SAT prep. I think he is very patient as he works with the student and is able to quickly discover how best to work with them.”

✏️ “George’s influence was not only on math but his success comes from the universality of his was of thinking. George has become a good friend and has really changed our boy’s life for the better.”

✏️ “George is an amazing teacher. He is the best tutor a parent can hire to help their child succeed in both mathematics and science. George is true to his thorough teaching; he goes beyond the knowledge taught at school to explain concepts. Having George as a tutor has been invaluable to me throughout high school. Whether you seek to improve grades in school, or simply to study advanced topics, no one can do a better job at helping you than George. George taught me basic calculus the summer before my AP Physics B course, which allowed me to view physics in a whole different perspective than the rest of my classmates, and has led me to decide to major in Biophysics next fall. And as I sit in my AP Calculus class this year, I can only smile and think, ‘George has taught me well.’ ”

✏️ “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.”

✏️ “We thought our daughter’s ADHD was a liability in learning math. George recognized her different learning style and speed and has worked it to her advantage. He truly understands the principles in learning how to learn. We have had many tutors for many subjects, but the confidence she has gained from George in math has generalized to all her other subjects.”

✏️ “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.”

✏️ “Our son is a very good student but has found that he does not process information as quickly as it’s given in school. George has been tutoring our son for only eight months and already he has seen great improvement. In addition to increasing his math grade to an A, George has been able to increase our son’s confidence in all subjects.”

✏️ “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!”

✏️ “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.”

✏️ “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.”

✏️ “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.”

✏️ “Having George help me kept a smile on my face. I was never left hanging before a big test.”

✏️ “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 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.”

✏️ “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.”

✏️ “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.”

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

✏️ “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.”

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

✏️ “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)

✏️ “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.”

✏️ “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.”

✏️ “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.”

✏️ “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 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 helped me ace my honors precalculus class and, by doing so, he has rekindled my appreciation for math as well as my confidence.”

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

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