Butterfield 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

✏️ “George has an amazing amount of patience and challenges me at every turn. The truth is in the results! I am a more confident learner and that carries over to my other courses, as well. I got an A in my Honors Algebra class and look forward to working with George as I prepare for the PSAT/SAT/ACT tests.”

✏️ “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.”

✏️ “I have always struggled with math, but George has helped me conquer the beast.”

✏️ “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.”

✏️ “I’ve been a student of George’s now for four years going on five. I tried other tutors but no one really does it quite as well as George. He does his best to help the student and to ensure their good performance. One night, before the SAT George stayed with me for roughly six hours to ensure that I got my 800 on the math portion of the SAT. Overall George is the best tutor I’ve had thus far, and if you are looking for honest results George is the way to go.”

✏️ “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)

✏️ “Every time I see George with my son, I feel very happy and blessed knowing that he is in good hands. My wish is not just for my son to raise the points or grades but also to learn what “study” truly means through Math so that he can apply the concepts and skills across the fields in his lifetime. George is a teacher and mentor who can make my wish come true.”

✏️ “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.”

✏️ “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.”

✏️ “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)

✏️ “As parents, we all know how different our children are – and this certainly translates to learning styles. George has had to adapt to three very different types of learners over that last seven or eight years. He has successfully navigated one child through a string of 800s… brought another near that coveted goal, thus ensuring his place at the college of that child’s choice (thank goodness!!)… and now has the unenviable task of guiding our daughter through the shoals of high school mathematics and preparation for the SAT. All three of our children have enjoyed working with George; he has related to each one on a very personal level and he has adjusted his teaching style to match how they learn. He is always encouraging and has instilled in all of them the ability to ask questions and explore the whys and wherefores rather than just the answers. At the same time, however, George sets the bar high for each one of them and pushes them to achieve. Not only have they and will they be accountable to Mom and Dad – they are also accountable to George – and they seem to be more concerned about the latter rather than the former (which is fine with us). George has an extraordinary gift for teaching and for instilling a love of learning in his students. He is insistent that fundamentals be strong and he works those so that his students are equipped for higher tasks. On child ended up majoring in math in college and is now doing sophisticated quantitative analysis in an investment firm; another is doing a wonderful job navigating econometrics. We can only hope that our last one can achieve this success. With George on our side we think that this can be achieved. We heartily recommend George to all.”

✏️ “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 has instructed our son and now our daughter. We have found that George tailors his teachings to meet our children’s individual needs and not just the ‘text book’. George covers everything and then he covers it again making sure they understand thoroughly. It is with great confidence and pleasure that we recommend George to be the very best available!”

✏️ “800 – we thought that sort of score was something unattainable – something that only a few gifted students achieved. And now our son (who we love dearly but never considered to be a particularly gifted math student) has brought home 800s twice – once on the SAT and once on the SAT II. We attribute so much of this achievement to George. He restructured fundamentals and taught our son to enjoy math once again. George consistently challenged and pushed – but never too much. He displayed patience and a wonderful gift for explaining things. As our son told us, George not only works through problems but teaches how everything evolved and why everything is what it is. We couldn’t ask for a better teacher. We really don’t have enough adjectives to describe George’s teaching ability. He is absolutely the best teacher that we have ever seen!!! George – your job with number one son is almost done – it is now time to move to number two.” (800 Math SAT, 800 Math IIC Subject Test)

✏️ “George brought my daughter’s math grades up from C- to A’s. He works well with my daughter and is very positive.”

✏️ “George has been an excellent tutor and mentor to me. When I started with him I was failing my geometry class. Within only a couple months he helped my grade go up by three grade letters. Thanks to him I will be finishing the years with a solid grade. Not only has he helped me academically but he has also made me more confident in my classes and work. At my hardest struggle, George took his time to spend many extra hours with me. He teachers like no other teacher and is able to make strong connections with his students while teaching the best techniques and strategies to solving problems.”

✏️ “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!”

✏️ “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 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.”

✏️ “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.”

✏️ “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.”

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

✏️ “Having George as my math and chemistry tutor was a very very different experience compared to other tutors. He could identify exactly what I needed not just in terms of the things I was studying but also in terms of the broader plan. His teaching method was also very patient, effective, and thorough, and I could understand all the material with ease. Having tutoring sessions with him has taught me much more than math and chemistry. I also learned many other things such as study methods. He is a highly recommended tutor.”

✏️ “George has been one of the greatest things to ever happen to me. Before George, I was struggling and basically failing math. Since I’ve worked with so many other tutors who completely failed me, I was a little apprehensive when I first met George but we soon became totally comfortable working with each other and even have inside jokes. He’s helped me in math so much. I used to hate math with a passion, but now it’s one of my easiest and most enjoyable subjects. George and I work together even if I’m sick. He makes me feel better, instead of wearing me out. If I have a bad day at school, George cheers me up. He’s basically your best friend and the best tutor. I love him! Thank you George!”

✏️ “George has reinvigorated my son’s interest in math and confidence in his abilities. Each week, George would carefully focus on classroom assignments, while bolstering broader areas of study. Lessons were purposeful, positive experiences, which immediately translated into improved test scores and a more meaningful understanding of concepts. My son was able to introduce advanced strategies in the classroom, and his teachers consistently remarked that his contributions greatly enhanced their class discussions. George has a warm personality and a true gift for teaching material in a compelling, yet fun, manner. My son truly enjoyed the experience of working with George, and has emerged as a far stronger student for it.”

✏️ “Whenever I am concerned teachers may have assigned material that is too difficult, my daughter says “Don’t worry, I have the best tutor ever.” With George, you couldn’t ask for more. Brilliant and charismatic as a math tutor, and with a special winning personality, George is gifted in explaining math to teenagers.”

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

✏️ “My son is a freshman in honors geometry – a really tough course!! George has been instrumental in explaining the concepts, teaching him how to solve the theorems and encouraging him throughout the year. Without this assistance – this year would have been much tougher. The insight into my son’s learning style and his clear and thorough explanations of each concept have given my son the confidence to tackle this vigorous course. He looks forward to meeting with George and doing his math.”

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

✏️ “George 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.”

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

✏️ “George 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!!!”

✏️ “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 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.”

✏️ “I cannot express my gratitude to George who is devoted to my son’s education. George ensures that the time spent is productive. My son’s experience has been excellent, and the results were exceptional. George is not only the best math teacher for my son but also a mentor who helps him open new doors for the future.”

✏️ “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)

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

✏️ “George is the real deal. Not only does he have a stellar educational background and a wealth of experience, but he has the tutorial skills to impart various math concepts and a real gift for connecting with students. My son has happily worked with George for five years; during that time, he consistently has brought home A’s. Simply put, George is the best there is.”

✏️ “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!”

✏️ “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.”

✏️ “We can’t say enough about how good a teacher George has been throughout the years. We feel that our children are well grounded in fundamentals and have the confidence to take on any academic challenge in the future. George is devoted to his craft and a truly unique academic tutor.”

✏️ “The patience, commitment and encouragement of the instructor have helped our son bring his grades up significantly; and as his marks improved, so did his spirits and his confidence.”

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

✏️ “In my junior year in high school I was taking some challenging courses, courses which on my own I would have had trouble handling in combination with SATs and AP exams. However, George helped me manage not only my classes but also my standardized tests. I ended up with solid grades in my math and science classes as well as an 800 in the math portion of the SAT and a 780 in the SAT IIC for math. Without George’s tireless enthusiasm and unstoppable will to help me I don’t know how well I would have done.”

✏️ “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 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.”

✏️ “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 is a natural; he not only tutors but teaches the student how to study and how to approach each subject. Math becomes an enjoyable experience. His teaching habits take over and the student shows a remarkable improvement in his all around school work. His method of cultivating a close relation with the student and his involvement in their overall school work is producing great results. I only wish we had someone like George when I went to school.”

✏️ “Math has never been my forte – even though George tells me I’m good at it every time I meet with him. Which in a way is true – because when George is teaching me I am good at math. Instead of only showing me how something works, he’ll explain why it works, which is exactly the teaching style I need. The difference in style, and therefore effectiveness, between George and my teachers at school is so vast that there’s a distinct possibility I would be failing math without him.”

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