Ravenden 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’s capabilities extend well through college topics. After taking BC calculus my senior year of high school, I took a semester off before taking Calculus III in the spring term. What began as a speed review of single-variable calculus expanded to encompass numerous topics neglected in the high school curriculum, as well as proper explanations and proofs of many other topics. George’s first goal is to establish a solid mathematical foundation; or in a case like mine, backfill the incomplete foundation. From there, working into sciences or high level math becomes far easier.” (800 SAT Math)

✏️ “George is a wonderful example of a professional instructor for mathematics and science. The quality of instruction administered in a calm, patient, and open manner reflects his true concern for the student. The dialog that exists between teacher and student is superb, as the knowledge that is sought and shared establishes itself. We are glad that academia has produced such a top notch instructor for our son.”

✏️ “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!”

✏️ “George is a wonderful tutor that has made a significant impact on my daughters learning. He discovered her weaknesses and has worked tirelessly with her to fill in the gaps in her learning and prepare her for the SAT. He cares deeply about his students and communicates weekly with me on her progress. George is like no other!!”

✏️ “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)

✏️ “We first looked for a tutor when it became clear that our son did not understand the material in his honors pre-calculus class and was moving from a passing grade to a failing grade as the material became more difficult. We asked George to work with our son. He first worked to stop the immediate problem by working with him on a quiz by quiz basis. As this crisis diminished, he has devised a longer-range plan to bring our son up to the point where he can achieve on his own. George has a rare skill of understanding the material and being able to communicate it in a way that our son could understand. Thanks to George, our son has renewed his confidence and improved his grades enough that he is now on a course to respectfully pass his honors pre-calculus course.”

✏️ “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)

✏️ “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.”

✏️ “I have been extremely happy with George tutoring my son for honors Geometry in his first year of high school. My son had a difficult transition to the rigor and demands of high school for which he was not prepared coming from a quite weak math background from middle school. George became his tutor in the most complete sense of tutoring, meaning that he did not only teach my son all the concepts in a way he could understand and without memorization but also gave him a method to study and trained him to think and solve problems. This allowed my son to regain his confidence and to learn how to study not just math but other subjects as well. George’s dedication, for all aspects that could benefit my son impressed me from the beginning. He knew from the start how to engage him, how to make him confront difficulty in a rational way, something that requires besides a deep understanding of the technical concepts a strong educational knowledge and experience. I will recommend George without hesitation to anyone that wants to truly understand math and succeed in academics.”

✏️ “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’s math skills and patient manner have increased my son’s confidence and competency in his own math skills. He is able to explain complicated math concepts in simple terms while making the process enjoyable. George’s enthusiasm for math is contagious and helps ensure his students to be equally enthusiastic.”

✏️ “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.”

✏️ “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.”

✏️ “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 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.’ ”

✏️ “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 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’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.”

✏️ “George not only taught me math and chemistry, but taught me in a way that was practical and easy. Compared to school teachers, George actually explains things in a simple way and most importantly taught me how to think through any problem, which is by far the most valuable lesson I have learned from him.”

✏️ “George has been the best investment we could have made for our son. He has been tutoring him for over two years now and our son has been in honors math ever since. He and George are now in the process of SAT ‘training’, if you will. We just know that his scores will be nothing but impressive. Thank you, 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.”

✏️ “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’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.”

✏️ “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.”

✏️ “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.”

✏️ “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.”

✏️ “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)

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

✏️ “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 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.”

✏️ “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 has tutored my daughter in Pre-Calculus and Math SAT prep for the past year. George has very impressive credentials, but even more impressive is the math rapport he has with my daughter. Clearly, George understands math at a depth and breadth that few of us do. But his ability to teach it and be a successful tutor is really what impresses me the most. He is a natural teacher. He can see when a student isn’t “getting it” and he can explain a concept in a variety of different ways instead of merely repeating the same explanation again and again. And finally, George truly seems to love his job. He appears to be genuinely happy when my daughter accomplishes her goals or nails down a difficult concept. My daughter feels her time with George is always productive as he’s always prepared for their session.”

✏️ “George is a pro. He has years of experience tutoring students lacking self confidence in math. He covers all the foundations, enabling the students to succeed. George has tutored my son for two years. In that time, he has grown into a good student who loves math and gets the grades to prove it. His success has been empowering and translated across other subjects. Besides being and excelled teacher, George is a genuinely nice man. My son and I are big fans.”

✏️ “George is a good teacher because – he makes me think the math out, he is always prepared for what I need to learn, thinks of problems to illustrate a math concept on the spot, drills me on what I do not know, makes me tell him how I arrived at the answer, understands me and how I learn, focuses and encourages me, talks to me.”

✏️ “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.”

✏️ “Even though my strength has always been in writing and English, I am now an A student in math and science as well because of George.”

✏️ “With SAT’s looming, I hired George to access and fill in the gaps in my son’s math knowledge. My son scored a 550 on his first practice SAT with George, so there were plenty of areas that needed attention! George came up with a comprehensive plan to rebuild my son’s math knowledge from the ground up. George taught my son to look at math through a completely different lens, which enabled him to think creatively as opposed to mechanically when he approached math problems. This strong foundation coupled with a creative approach to problem solving resulted in a 780 on the SAT. George was professional, methodical, and thoughtful during each session, and knew how to motivate and inspire my son. Although the work was hard at times, my son was always happy and grateful to be working with such a brilliant and kind teacher. I only wish all of my son’s math teachers could be as exceptionally qualified and compassionate as George!” (780 SAT Math)

✏️ “George has helped me to understand algebra better than my teachers at school ever could!”

✏️ “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!”

✏️ “This is exactly what we have discovered in George – To Teach or Instruct Thoroughly. George not only has read our son’s Advanced Algebra book, he has wrapped himself around it. He teaches with enthusiasm and a deep concern for our son. He genuinely cares that our son not only understands the many different concepts but also makes sure that our son is able to effectively apply them. Our son has 125 new problems every week and George makes sure our son fully understands each and every one. Our son’s grade has improved from a B- to an A- and we expect this trend to continue along with his growing mathematical confidence. Our son smiles broadly at the end of every session. George is the MVP of the academic playing field! Thank you George.”

✏️ “George has been working with our son for more than a year now. We can’t say enough for George’s abilities to teach – whether it be physics, mathematics or SAT prep, George ensures that our son has a comprehensive understanding of the materials. He challenges him to think through problems and apply concepts. George also has a way of making learning and academic achievement something that our son is proud of. He has instilled in him a level of confidence in his academic abilities that would not have existed absent George. Anyone wanting a truly dedicated teacher and genuinely nice guy to work with their son or daughter should always look to George first.”

✏️ “Not only has George quickly and effectively helped my daughter to significantly raise her ACT math scores but he has boosted her confidence ten fold!”

✏️ “George 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)

✏️ “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.”

✏️ “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!”

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

✏️ “Since I took the hardest math class at my school this year, I was nervous about my math grade. Thanks to George, on my last test I got the first 100% I’ve gotten since freshman year! My math has greatly improved since I started working with George, and for the first time I find that I am genuinely interested in math. I cannot recommend George highly enough!”

✏️ “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)

✏️ “Our daughter was transferred to Dover-Sherborn High School as a sophomore last year. We thought she needed some math guidance before taking the ACT/SAT, and discovered Perdocere Math Tutoring while searching online. George turned out to be the best discovery we made. His brilliance, patience, and structured tutoring style made our daughter feel at ease with the fundamental concepts of math. Needless to say, George’s guidance was reflected by an outstanding score last month. For math tutoring, George should be your first and final contact.”

✏️ “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.”

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