Math PhD with 20 years experience tutoring all levels.

Chris A.
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Hourly Rate: $50

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Math PhD with 20 years experience tutoring all levels.

Chris A.
Featured Review:

## Incredibly knowledgeable, patient, and explains concepts perfectly

Taelyr, 15 lessons with ChrisChris is just an awesome tutor. He helped me get through my advanced linear algebra class and made the concepts amazingly comprehensible (even with my weak grasp of elementary linear algebra). He was very patient and easy to talk to and made sure I understood the basics before we worked on specific problems, which was crucial to my understanding of the subject. He also provided great advice for how to study and how to approach difficult problems. He even showed me how linear algebra related...

Over the past twenty years, both before and since obtaining my math PhD, I have tutored hundreds of students in all levels and courses, all the way from beginning middle school courses, to advanced college math courses that only math majors take. I have about fifteen years experience teaching at the college level, but tutoring is more fun in several ways. In front of a large classroom, you are forced to say what is somewhat helpful to a number of people, yet it was not EXACTLY what ANYONE...

Mathematics

PhD

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Elementary Math

Calculus,
#### Calculus

I have a math PhD and have taught and tutored calculus at the high school and university levels for twenty years. I have had hundreds of calculus tutor students over the years. It is the course I have taught and tutored more than any other course. After so long I know exactly what questions students have, where they get confused, which explanations work the best, and so on. But don’t trust me on that. Let me prove it. :)

Precalculus,
#### Precalculus

I have a math PhD and twenty years teaching and tutoring experience with all levels of mathematics, including teaching and tutoring precalculus many times. I have had hundreds of precalculus students over the past twenty years, so I am very familiar with exactly where students get confused, which explanations help students the most, how to explain each topic most efficiently, and so on. But don’t trust me on that. Let me prove it to you. :)

Algebra 1,
Algebra 2,
Geometry,
Prealgebra,
SAT Math
Calculus,
#### Calculus

I have a math PhD and have taught and tutored calculus at the high school and university levels for twenty years. I have had hundreds of calculus tutor students over the years. It is the course I have taught and tutored more than any other course. After so long I know exactly what questions students have, where they get confused, which explanations work the best, and so on. But don’t trust me on that. Let me prove it. :)

Differential Equations,
#### Differential Equations

I have a math PhD and twenty years teaching and tutoring experience at the university level. I have had many differential equations students in that time. Differential equations is often the first course students take that is not a “weed out” course. Every single student in the class is good at math, and the course level is set accordingly. Consequently, students often need tutoring who never had trouble with math before. Tutoring a higher level course, with more gifted students, is somewhat different than tutoring lower courses with those not gifted in math. There is a different focus, less on pure rote monotony of drilling, more on the higher level thinking of why one would do X, so that the student then not merely memorizes what to do, but actually knows why, so they can do on their own even when given a non-cookie cutter problem, as is often given in higher courses. Such higher level courses (diff eq, linear algebra, discrete mathematics, etc) are what I enjoy tutoring the most and what I am best at.

Discrete Math,
#### Discrete Math

I have taken both undergraduate and graduate level discrete mathematics courses while earning my undergraduate and doctorate mathematics degrees. I have taught discrete mathematics at the university level and have tutored discrete mathematics many times. My PhD dissertation consisted of mathematical logic and discrete mathematics. I have published peer reviewed research papers in discrete mathematics journals, proved new theorems in discrete mathematics, been a referee for discrete mathematics journals, organized discrete mathematics seminars, and have generally speaking been a part of the discrete mathematics research community.

Finite Math,
#### Finite Math

Finite/discrete mathematics is my area of specialization within math. I have taken both undergraduate and graduate level finite/discrete mathematics courses while earning my undergraduate and doctorate mathematics degrees. I have taught finite/discrete mathematics at the university level and have tutored finite/discrete mathematics at the high school and university levels many times. My PhD dissertation consisted of mathematical logic and finite/discrete mathematics. I have published peer reviewed research papers in finite/discrete mathematics journals, proved new theorems in finite/discrete mathematics, been a referee for finite/discrete mathematics journals, organized finite/discrete mathematics seminars, and have generally speaking been a part of the finite/discrete mathematics research community.

Linear Algebra,
#### Linear Algebra

Different mathematics courses are difficult in different ways. Linear algebra is hard for students in one very specific way:
This course will be far more abstract than any mathematics course you have taken thus far.
The theorems and methods aren’t any harder than those in calculus, IF one understands what is being talked about in the first place. I would actually say most of the plug and chug is easier than most calculus plug and chug IF one understands what is going on in the first place.
But linear algebra is abstract, so that’s a big if.
My strength in teaching linear algebra is that I am good at making it seem fairly concrete and simple, not abstract, so that the theorems aren’t so bad after all, or even common sense. I probably help students in this course more than any other course I tutor, because I can usually take a student from having NO IDEA what is going on, to knowing exactly what is going on and doing the problems, since the only problem was they didn’t understand the abstraction, and that’s not actually that hard to solve.

Logic,
#### Logic

I have taken both undergraduate and graduate level mathematical logic courses while earning my undergraduate and doctorate mathematics degrees. I have taught courses on proofs, propositional calculus, and so on (beginning mathematical logic) at the university level and have tutored students in mathematical logic as well. My PhD dissertation consisted of mathematical logic and discrete mathematics. I have proved new theorems and published peer reviewed research papers at the interface of mathematical logic and discrete mathematics. I have given invited seminar talks on these topics to professors at various universities, including speaking to logic seminars. In general, I have been a researcher in mathematics at the interface of mathematical logic and discrete math.

Precalculus,
#### Precalculus

I have a math PhD and twenty years teaching and tutoring experience with all levels of mathematics, including teaching and tutoring precalculus many times. I have had hundreds of precalculus students over the past twenty years, so I am very familiar with exactly where students get confused, which explanations help students the most, how to explain each topic most efficiently, and so on. But don’t trust me on that. Let me prove it to you. :)

Trigonometry,
#### Trigonometry

I have a math PhD and twenty years teaching and tutoring experience with all levels of math. I have taught and tutored trigonometry many times over the years, and I have had hundreds of trigonometry students. By now I know exactly where students get confused, exactly which explanations work best, the most efficient ways to explain each concept, and so on. But don’t trust me on that. Let me prove it. :)

ACT Math,
Algebra 1,
Algebra 2,
Geometry,
Prealgebra,
SAT Math
Calculus,
#### Calculus

I have a math PhD and have taught and tutored calculus at the high school and university levels for twenty years. I have had hundreds of calculus tutor students over the years. It is the course I have taught and tutored more than any other course. After so long I know exactly what questions students have, where they get confused, which explanations work the best, and so on. But don’t trust me on that. Let me prove it. :)

Precalculus,
#### Precalculus

I have a math PhD and twenty years teaching and tutoring experience with all levels of mathematics, including teaching and tutoring precalculus many times. I have had hundreds of precalculus students over the past twenty years, so I am very familiar with exactly where students get confused, which explanations help students the most, how to explain each topic most efficiently, and so on. But don’t trust me on that. Let me prove it to you. :)

Algebra 1,
Algebra 2,
Geometry,
Prealgebra
ACT Math,
GED,
SAT Math

## Multivariable Calculus

Great support! Highly knowledgeable! Recommended! Sent a video recording after lesson and a summary with good advice how to approach problems. Will use again and is available on short notice.

Hennika, 1 lesson with Chris

## very patient, very knowledgeable.

Very good at revealing different ways of looking at problems that really help you understand what your doing and make fewer mistakes. Definitely feel more confident and capable after each lesson.

Joshua, 13 lessons with Chris

## very patient, very knowledgeable.

Moves a little fast, but shows different ways of looking at problems that really help you understand what your doing and make less mistakes.

Joshua, 13 lessons with Chris

## 20+ Years of Educating: It Shows

Chris is an impeccable educator with an incredible ability to find and resolve gaps in knowledge. His teaching style is incredibly effective because he takes the time to explain the methodologies and details behind every operation and seems to delight in helping student overcome preconceptions or mental blocks. Interruptions and clarifications are handled very well and answered properly and efficiently. I look forward to many more lessons with him.

David, 12 lessons with Chris

## Very patient and knowledgable.

He helped me through the first part of my Real Analysis class where I had to play a lot of catch up because I didn't have the pre-requisites. With his help, I was able to do well in the first quarter of the class thus far.

Mei-Li, 3 lessons with Chris

## Very patient and knowledgeable

Chris helped my daughter on a Differential Equations project. He knows the topics very well and they were able to go through many problems. My daughter either needed help checking her math or had no idea how to do a problem, and Chris helped with that. Highly recommended.

Elizabeth, 2 lessons with Chris

## Chris went the extra mile

I was highly impressed with Chris from start to finish. He answered my initial inquiry promptly, was on time for the session, and really put in a lot of thought and effort deciphering my daughter's unconventional curriculum. He helped me (as a parent) to better understand why my child was having so much difficulty. Lastly, he wrote a very detailed follow up note for my child's school. Excellent!

Amy, 1 lesson with Chris

## Memorable

Chris is definitely memorable. He is unparalleled to any tutor I’ve had in his ability to tailor to your specific needs and explain complicated topics in an intuitive way. He has not only helped me with grasping the subject matter but also with developing a mindset to tackle problems on my own. The environment of his tutoring sessions are relaxed and low pressure, dare I say fun even. I recommend him 100%. He is worth the money.

Kaylee, 7 lessons with Chris

## Knowledgeable and flexible

Chris is great at explaining how to solve trigonometry problem, provides different explanations on how to figure out confusing problems, he also demonstrated how to double check the work to ensure correct responses. He also is very patient, understanding, he delivers his responses with confidence, and confirms your question(s) to ensure he understood your request/responses/questions. I highly recommend Chris as it was money well spent.

Jamie, 1 lesson with Chris