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Award-Winning Non-associative Algebra Tutors

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6+ years
Griffin
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...
Kansas State University
Bachelor of Science, Chemical Engineering

Certified Tutor
6+ years
Ian
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...
University of Georgia
Current Undergrad Student, Accounting

Certified Tutor
6+ years
Samantha
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.
Middle Georgia State University
Associate in Arts, Political Science and Government

Certified Tutor
6+ years
Aiden
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.
Reed College
Bachelor in Arts, Political Science and Government

Certified Tutor
6+ years
Jack
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.
Northeastern University
Bachelor of Science, Physics

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Rasa
I graduated from Washington University in St. Louis in May 2014 with a Bachelor of Arts in Anthropology and Educational Studies and a minor in Political Science. I had two years of teaching experience with Breakthrough Collaborative as well as relevant undergraduate coursework to supplement my tutor...
Washington University in St Louis
Bachelor in Arts, Anthropology, Educational Studies

Certified Tutor
2+ years
Hervé
I enjoy meeting new people and enjoy what they have to say, i have always loved math and sciences; I know!! I am a nerd but people says i don't look like one. I enjoy video games, sports (I play soccer three time a week) good food and social hours.
Northern Illinois University
Bachelors, Electrical and computer engineering

Certified Tutor
4+ years
Michelle
Academic instruction is authentic, discussion-oriented, and interdisciplinary in order to create a holistic understanding, critical questioning, and evaluation for a person to grow cognitively and spiritually, promoting the betterment of a multicultural, ever-changing world.
Appalachian State University
Masters in Education, Curriculum and Instruction
University of North Carolina at Greensboro
Bachelor in Arts, Social Studies Teacher Education

Certified Tutor
6+ years
Carson
I graduated from the University of Oklahoma this August with a degree in Philosophy. I also have minors in Classics and English Literature, which is my favorite subject and pastime. My training in Philosophy has taught me to identify and explain central concepts of a written work, and this training ...
University of Oklahoma Norman Campus
Bachelor in Arts, Philosophy

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Arjun
I received a BA in Philosophy from Boston University and a JD from Columbia Law School. After my sophomore year at College I taught a history class in India. While studying for the LSAT I gave my friends informal tutoring sessions. I have tutored all multiple choice sections of the LSAT formally sin...
Boston University
Bachelor in Arts, Philosophy
Columbia Law School
Juris Doctor, Law
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Howdy, my name is Titus Klutz. I am a Sr. In Mechanical Engineering at Texas A&M University. I absolutely love physics and math and like watching how it is applied in the world around us. My desire is to show students how beautiful these subjects are. Achieving the moment in learning where the topics clicks is amazing. I hope to share with everyone the love for these subjects that I have.
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I am a graduate of both Western Governor's University and Liberty University. I received my Bachelor of Arts in Secondary Education with a focus on Social Studies and English Language, and My Master's Degree in Rhetoric and Composition. I have been an educator for the past 28 years. I am most passionate about English, including grammar, Rhetorical and Literary Devices, and Language, and I also love History. I have taught AP Language and Composition for the past ten years and it is my favorite course to teach. My students have had great success with the course and I have been recognized for my efforts on both the state and national levels. I have also had great success preparing students for the ACT and SAT- Critical Reading and Writing exams. I believe that each family and student should choose their own path to education and I enjoy supporting families in all walks of education including homeschoolers. I have extensive training in several curriculum-based programs and have been rated as a distinguished educator for the past 19 years. In my spare time, I enjoy spending time with my husband and children, working at my church, cooking, painting, and reading. I especially love the mountains and hiking up into the national parks during the fall.
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I graduated from the University of Pennsylvania's Wharton School of Business in December with a degree in international business management and legal studies. I currently work in Corporate Strategy. I have worked with numerous students throughout my 5+ years of tutoring, each with unique learning styles. I am an excellent resource for students of all ages!Having worked and traveled to 6 continents, I have advanced my communication skills by engaging with people from various cultures and backgrounds. I am well-versed in numerous subjects and am happy to work around busy school schedules.
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I am thrilled to bring my successful experience as an educator, vast subject knowledge and passion for teaching to Varsity Tutors. I possess a Master's Degree in Education from Hofstra University as well as an Advanced Certification in School Leadership from SUNY Stony Brook. In addition my professional credentials include New York State teaching certification in Social Studies (7-9), NYS School Building Leadership and NYS School District Leadership. I have taught social studies for ten years including courses in American History and Government (Regents), AP USH and Civics.I went into teaching because I wanted to change the world. I know this sounds overly idealistic but I have managed to realize this mission. You see changing the world is not the monumental task it seems. What I have found is that when I help one student to learn than I have changed the world. When this learning enables my student to take another step towards realizing their potential than I have changed the world. As an educator this has always been my mission and I am pleased to continue it with Varsity Tutors.
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Algebra Tutor • +6 Subjects
I received my degree in Biomedical Engineering at Purdue University at IUPUI in Indianapolis. I have worked countless hours with classmates and friends tutoring them to prepare for exams and class projects. I currently tutor pre-Algebra, Algebra, Geometry, Trigonometry, and Calculus. I love tutoring Trigonometry best because trig comes up countless times in engineering and it is now somewhat dear to my heart; however, Algebra is just as important since it is the building block towards something greater. My tutoring philosophy is that learning should be fun. The more you know, the stronger you are as a person. Learning shouldn't be a tedious exercise but an empowering tool. When I tutor, I attempt to inspire, to show the big picture and why this stuff matters by using real world examples that students can relate to. Education aside, I'm sure we have a lot in common. I'm a pretty normal guy who enjoys his down time. I like sci-fi movies and books, video games, biking, and hanging out with my friends. I think school and academics are very important; however, having fun and knowing who you are are just as crucial.
Emma
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Hello! My name is Emma and I'm 23 years old. My tutoring experience began in high school when I tutored elementary, middle, and high school-aged students in math, Spanish, and language arts. In math specifically, I've tutored students in pre-algebra, algebra, geometry, and trigonometry, and have experience working with students who have fear and/or low self-confidence in math. During college, in addition to completing a math minor, I tutored undergraduate and graduate students in statistics. I've also worked as a college instructor, and am familiar with learning processes. If needed, I can provide a reference from a family I've helped to tutor.Outside of my tutoring experience, I have a goal to run a 5K in every state in the U.S. with my mom! We have checked off 27 states so far! I also enjoy knitting, cooking, and reading!I'd love to be considered to tutor for you! Please feel free to reach out if you have any questions about me or my experience!
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Abstract Algebra Tutor • +47 Subjects
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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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