Award-Winning Non-associative Algebra Tutors

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Award-Winning Non-associative Algebra Tutors

Griffin

Certified Tutor

6+ years

Griffin

Bachelor of Science, Chemical Engineering
Griffin's other Tutor Subjects
6th-12th Grade Algebra
6th Grade Calculus
Middle School Math
Polynomials

I am a graduate from Kansas State University with a B.S. in Chemical Engineering. I have worked professionally as a research assistant for KSU, a project manager for Cargill, and an auxiliary engineer with Black & Veatch. With recent experience in office, industry, and university, I am fully prepare...

Education

Kansas State University

Bachelor of Science, Chemical Engineering

Test Scores
ACT
34
Ian

Certified Tutor

6+ years

Ian

Current Undergrad Student, Accounting
Ian's other Tutor Subjects
9th-12th Grade Algebra
AP Statistics
Statistics
Calculus

I am an undergraduate student in my junior year at the University of Georgia. It is currently my second semester in the Tull School of Accounting here and I plan on pursuing a Masters of Accountancy in the graduate program. I have years of experience tutoring during my time as a member of a Math Hon...

Education

University of Georgia

Current Undergrad Student, Accounting

Test Scores
SAT
1500
Samantha

Certified Tutor

6+ years

Samantha

Associate in Arts, Political Science and Government
Samantha's other Tutor Subjects
6th-12th Grade Algebra
Middle School Math
Calculus
Polynomials

I am currently working towards a Political Science degree with a focus in Statistics, and I hope to go on to law school after I graduate. My favorite subjects are Statistics, Political Science, History, English, and French.

Education

Middle Georgia State University

Associate in Arts, Political Science and Government

Test Scores
SAT
1430
Aiden

Certified Tutor

6+ years

Aiden

Bachelor in Arts, Political Science and Government
Aiden's other Tutor Subjects
6th-12th Grade Algebra
Middle School Math
Calculus
Elementary School Math

I'm a recent graduate from Reed College where I majored in Political science with additional concentrations in environmental science, sociology, philosophy, and 3D art.

Education

Reed College

Bachelor in Arts, Political Science and Government

Test Scores
ACT
33
Jack

Certified Tutor

6+ years

Jack

Bachelor of Science, Physics
Jack's other Tutor Subjects
6th-12th Grade Algebra
6th-12th Grade Calculus
Polynomials
Linear Systems

I am a Junior in college at Northeastern University working towards my Bachelor of Science in Physics. I aspire to earn my PhD in Physics after college.

Education

Northeastern University

Bachelor of Science, Physics

Test Scores
SAT
1490
Mikhail

Certified Tutor

15+ years

Mikhail

Bachelors, Mathematics, Economics, Pre-Medical Track
Mikhail's other Tutor Subjects
Algebra
Algebra 2
Biology
Business

I was born in Russia and grew up in NYC where I attended Stuyvesant High School. I graduated Summa Cum Laude from Binghamton University where I majored in mathematics and economics and completed a core group of science courses that were part of the Pre-Medical track. I am currently applying to medic...

Education

SUNY at Binghamton

Bachelors, Mathematics, Economics, Pre-Medical Track

Claire

Certified Tutor

10+ years

Claire

Masters, Music
Claire's other Tutor Subjects
Conversational French
French
French 1
French 2

Bonjour tous,My name is Claire and I am born and raised in France. I moved to California in 2010 to study classical music and in May 2016 I received a Master in clarinet performance. On top of my musical studies, I have been tutoring and teaching French to students at my university and privately. I ...

Education

CSUF

Masters, Music

CSUF

Bachelors, Music

Kyle

Certified Tutor

9+ years

Kyle

Associate in Science, Computer and Information Systems Security
Kyle's other Tutor Subjects
AP Computer Science Principles
C++
Computer Programming
Computer Science

I'm a current college student pursuing a Bachelor's degree in software engineering. I'm proficient with Java, and knowledgeable in C++, HTML, CSS, and a basic understanding of Python. Outside of the classroom I'm a house and techno DJ.

Education

CUNY Kingsborough Community College

Associate in Science, Computer and Information Systems Security

Pryce

Certified Tutor

3+ years

Pryce

Bachelor of Science, Economics
Pryce's other Tutor Subjects
Algebra
Business
Business Calculus
Business Statistics

Hi, My name is Pryce and I am excited to be your GRE and/or math and economics tutor! I recently graduated from the University of Pennsylvania, where I studied economics and math and gained experience as a peer tutor. On my most recent GRE test, I scored a 170V and 169Q, and am excited to share what...

Education

University of Pennsylvania

Bachelor of Science, Economics

Jameshia

Certified Tutor

4+ years

Jameshia

Bachelor in Arts, Music
Jameshia's other Tutor Subjects
Creative Writing
Elementary School
Elementary School English
Elementary School Math

Hello my name is Mrs.Edmond, and my passion is to help and create a safe learning experience for children. It brings joy to know that children are trying to better themselves in every way.

Education

Lane College

Bachelor in Arts, Music

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William Francis

Algebra Tutor • +17 Subjects

I am currently a rising freshman at the University of North Carolina at Chapel Hill and plan on majoring in business and potentially computer science. I have a passion for math and have tutored my younger brother (2 years younger) and his friends for the past few years during which I have come to enjoy tutoring. My favorite subject to tutor is math up to AP Calculus AB, and physics as that is what I have the most experience with. I have a very strong focus on helping students understand WHY they are doing something in a math problem instead of just telling them what to do, as I feel that allows the student to understand the material significantly better. I also have experience tutoring the math section of the SAT.

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Clayton

Arithmetic Tutor • +10 Subjects

In sharing my qualifications and interests, I hope to provide you with tremendous confidence in my abilities to not only establish a strong rapport with you, but to also be an exceptional teacher in arithmetic, elementary math, middle school math, and pre-algebra!I currently have seven years of experience teaching upper elementary education. The last two years of my career were spent in Hong Kong at an international Christian school. During this time, I learned a lot about how to connect with a wide variety of students and learning styles. In 2007, I received my Bachelor's in Elementary Education at Missouri Western State University and, in 2010, I completed my Master's in Elementary Administration at William Woods University.I consider myself to be a creative individual, with a variety of interests including family, outdoors, and music. Almost every Sunday, my wife, my daughter, and I go to my parents' house to have lunch and spend time with my family. When I lived in Hong Kong, this was something that I really missed a lot! My interest in music is rooted in the fact that I was in band all through school and college. I can play the Euphonium, a little piano, guitar, harmonica, and the mandolin. And if you are wondering what kinds of things I like to do outdoors, it would most definitely be hiking and fishing! In fact, I almost wish I could be outdoors catching some fish right now!

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Jane

10th Grade Reading Tutor • +31 Subjects

For as long as I can remember, I have been passionate about literature and languages. With a background in creative writing, I am confident that I can help any student struggling to connect with the language arts. Additionally, I have extensive knowledge of the French language, having spent 6 years living in the Paris area.

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Tucker

Algebra Tutor • +8 Subjects

My main focus is tutoring elementary up to college-level algebra, calculus, and statistics. I used to work in the math tutoring center at the university I attended and I'm a Math major with a concentration in Statistics. Currently I teach highschool math. I have over a years worth of experience tutoring students in a variety of different math subjects.

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Danielle

Algebra Tutor • +26 Subjects

I'm passionate about teaching and learning. I'm a certified Math teacher in NY. I have over 8 years teaching experience in NYC public schools, in grades 7-12. I enjoy working with children and adults of all ages. My favorite part of teaching is when students have an "ah-ha" moment and everything clicks and comes together. I also like watching children become more confident in their abilities and their skill level and grades improve.I have a BA in Business Administration, with a minor in Economics from the University of Connecticut.I have an MS in Secondary Education from Pace University and an MA in Education Policy from Columbia University.In my free time I enjoy art, design, yoga, cooking, and holistic wellness.

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Esther

1st Grade Reading Tutor • +57 Subjects

I have recently graduated from the Burnett Honors College at the University of Central Florida with a Bachelors degree in Biomedical Sciences. This upcoming year I am going to the Institute of Human Nutrition at Columbia University to get an MS in Nutrition and Metabolism.I have been a tutor for college students for 2 years at my university, teaching Organic Chemistry 1 and General Chemistry. I've also helped high school students with college admission essays, and with kindergartners in the Junior Achievement program.I enjoy working with children and finding creative ways for them to learn the material and to try to inspire a desire to learn by making learning fun for them. I also really enjoy teaching general chemistry, because I find the material fascinating. When I tutor a student, I don't just give them the answers, but rather I guide them to the answers. It is important that a student learns how to find the answers themselves so they do not become dependent on outside sources.

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Neal

Algebra Tutor • +30 Subjects

I am currently a student at the University of Missouri Kansas City as a part of their 6 year direct medical program. Medicine is my passion, and I'm thrilled that we are able to interview patients in the hospital and learn from them very early on in the process.The best teachers I've ever had have been more than just adults. They were passionate about the material they taught, and that passion was carried over to me. That is the main thing I hope to show students. A passion that will help them understand the material better.One of my favorite parts of tutoring is getting to know the students' learning style and how they think. The best part is that I have just recently taken all the subjects I have listed to tutor in. The information is fresh in my mind, so I can approach the content from many different angles to help the student understand the material.Outside of school, I spend a lot of my time at Buffalo Wild Wings, hands down the best wings I have ever eaten. Consequently, I also spend a lot of my time exercising - usually swimming or weightlifting.

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Brandon

Algebra Tutor • +33 Subjects

I teach several subjects. How to create Animation. Art, Digital Illustration and Painting, Sciences, Math, Reading and Writing.I have 5 years teaching creative subjects to students young and old. I have 3 years experience teaching STEM fields to children.Each subject I teach in an understandable way and try to give a new perspective on the subject.

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James

Business Tutor • +15 Subjects

As an adjunct professor of finance, I enjoy helping individuals find their way within the finance and business worlds. As a swimming coach, I enjoy helping individuals reach their goals. I am patient and kind and have been in your shoes. I am a strong tutor with the Series 65, 66, and 7.

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Khali

Admissions Tutor • +21 Subjects

"You got a dream... You gotta protect it. People can't do somethin' themselves, they wanna tell you you can't do it. If you want somethin', go get it. Period." -The Pursuit of Happyness (2006)As a 140+ time author, hip-hop artist, poet, spoken word performer and content creator - if there is anything that I know about dreams, I would like to tell you that taking your own path isn't the easiest feat in the world.Society teaches us that we should have the picketed fence, the perfect family and the college degree for the spacious cubicle twenty-five miles away from where you live. Honestly, that is not everyone's vision. Some of us do not desire to be average. Some of us do not desire to settle for a life of mediocrity.Some of us do not desire to let the talents and ideas given to us from higher powers go to waste all because we wanted to please someone else by fitting ourselves into their boxes. The world is constantly evolving and us as a species, we must evolve with it.I believe that the freedom of expression, whether it be in the humanities, performing arts, activism or essential services will help us to evolve and become more accepting of our differences. I've had the pleasure to use my aptitude for writing and performing to touch souls and hearts from all walks of life.My passion to heal the traumas of those that came before me along with my own gives me the fuel that I need to continue being of service to others as a beacon of light to show you no matter what life throws at you, never let that stop you in your tracks!

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Frequently Asked Questions

Non-associative algebra is a branch of mathematics that studies algebraic structures where the associative property doesn't necessarily hold—meaning (a·b)·c may not equal a·(b·c). Unlike the algebra you learn in high school, non-associative algebra explores structures like Lie algebras, Jordan algebras, and alternative algebras that appear in theoretical physics, quantum mechanics, and advanced mathematics.

Understanding non-associative algebra helps students develop sophisticated mathematical thinking and prepares them for graduate-level studies in mathematics, physics, or computer science. It bridges the gap between concrete computational algebra and abstract theoretical mathematics.

The main challenge is the conceptual shift from familiar associative structures to systems where grouping matters. Students accustomed to rearranging expressions freely must now carefully track how operations are ordered and grouped. Additionally, many proofs require rigorous abstract thinking rather than computational work, which can feel overwhelming without proper guidance.

Another common struggle is connecting non-associative algebra to concrete examples. Without seeing how these structures appear in real problems—like rotations in 3D space (related to Lie algebras) or quantum physics—the material can feel disconnected from practical mathematics. A strong tutor helps students build this conceptual foundation before diving into complex proofs.

Excellent non-associative algebra tutors combine deep theoretical knowledge with the ability to break down abstract concepts into digestible pieces. They can explain why structures like Lie algebras matter, provide intuitive examples (like quaternions for rotations), and help students understand the conceptual differences between associative and non-associative systems—not just memorize definitions.

The best tutors also ask probing questions that guide students to discover patterns and connections themselves, building mathematical maturity rather than just solving problems. They're patient with the frustration that comes with abstract mathematics and help students develop confidence in reading and writing rigorous proofs.

Showing work is critical in non-associative algebra because the reasoning behind each step is often more important than the final answer. Proofs demonstrate your understanding of the structural properties and allow tutors to identify where conceptual gaps exist. A clear proof shows each logical step, justifies why operations can or cannot be rearranged, and connects to the definitions or theorems you're using.

Organizing proofs effectively means starting with what you're given, clearly stating what you need to prove, and building logically from one step to the next. Good organization also means explaining why you can't use the associative property in certain contexts—this distinction is what separates careless work from rigorous mathematics.

Building confidence starts with mastering fundamentals first. Before tackling complex non-associative structures, make sure you're comfortable with basic group theory, ring theory, and vector spaces. Personalized tutoring helps you identify exactly which foundational concepts need reinforcement, so you're not struggling with prerequisites while learning new material.

Practice also matters—working through problems repeatedly helps abstract ideas become more familiar. Additionally, connecting theory to applications helps. Learning that Lie algebras describe symmetries in physics or that Jordan algebras relate to quantum mechanics makes the abstraction feel purposeful. Tutors can show you these real-world connections to keep you motivated and help you see patterns across different non-associative structures.

Effective study for non-associative algebra combines active problem-solving with concept mapping. Don't just read examples—work through proofs yourself, make mistakes, and understand why they're mistakes. Use retrieval practice by revisiting old problems weeks later to strengthen long-term retention, and create visual maps showing how different structures relate (e.g., how alternative algebras relate to associative algebras).

Regular practice with increasingly difficult problems helps you internalize the structural properties. Set aside time to work through proofs without looking at solutions, then compare your approach to the provided work. Finally, maintain a problem-solving notebook where you record strategies that work for different types of proofs—this helps you recognize patterns and develop a toolkit for tackling unfamiliar problems.

Non-associative algebra often leads into specialized areas like Lie group theory, representation theory, and algebraic geometry. Students who master non-associative structures are well-prepared for graduate studies in pure mathematics, theoretical physics, or computer science fields that rely on abstract algebra.

Non-associative algebra also connects deeply to linear algebra (through Lie algebras and their representations), category theory, and differential geometry. Understanding these structures provides insight into symmetry operations in physics, cryptography, and coding theory. Varsity Tutors connects you with tutors who can help you see these connections and prepare you for advanced coursework in your specific area of interest.

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