Award-Winning Abstract Math Tutors

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Award-Winning Abstract Math Tutors

Rhea

Certified Tutor

6+ years

Rhea

Bachelor of Science, Biology, General
Rhea's other Tutor Subjects
AP Statistics
AP Calculus BC
AP Calculus AB
Pre-Algebra

I am a current student at the University of Chicago. I am working towards a Bachelor of Science in Biological Sciences, and I am on the pre-medical track. I am extremely passionate about tutoring, and I have several years of experience tutoring students in my high school's learning center in various...

Education

University of Chicago

Bachelor of Science, Biology, General

Test Scores
Perfect Score
SAT
1550
ACT
36
Arthur

Certified Tutor

5+ years

Arthur

Bachelor in Arts, Economics
Arthur's other Tutor Subjects
Statistics
Middle School Math
Geometry
Calculus

I am available to tutor in a broad range of subjects, though I am most passionate about Economics, History, and Civics. Please feel free to contact me and I would be happy to arrange a session.

Education

Middlebury College

Bachelor in Arts, Economics

Test Scores
Perfect Score
SAT
1490
ACT
36
Ishan

Certified Tutor

5+ years

Ishan

Bachelor of Science, Biology, General
Ishan's other Tutor Subjects
Pre-Algebra
Pre-Calculus
Middle School Math
Calculus

I am a current sophomore at Rensselaer Polytechnic Institute, where I am majoring in Biology as part of the 7 Year Accelerated Medical Program. I am also minoring in Healthcare Economics and Policy. My favorite subjects in school are Chemistry, Biology, and Math, but I also enjoy the process of writ...

Education

Rensselaer Polytechnic Institute

Bachelor of Science, Biology, General

Albany Medical College

Doctor of Medicine, Premedicine

Test Scores
ACT
35
Rahul

Certified Tutor

6+ years

Rahul

B.S. in Chemical Engineering
Rahul's other Tutor Subjects
Pre-Algebra
Multivariable Calculus
Pre-Calculus
Geometry

I am a recent graduate of Cornell University, where I received a B.S. in Chemical Engineering and graduated Magna Cum Laude. Over the past several years, I have worked with students from diverse backgrounds and experiences tutoring thermodynamics (my personal favorite), chemistry, and math. I have a...

Education

Cornell University

B.S. in Chemical Engineering

Test Scores
Perfect Score
ACT
36
Ilesh

Certified Tutor

6+ years

Ilesh

Bachelor of Science, Industrial Engineering
Ilesh's other Tutor Subjects
Pre-Algebra
Statistics
Calculus
Algebra

I am a recent grad from Georgia Tech, majoring in Industrial and Systems Engineering (an intersection of math, computer science, and business) and minoring in Business and Technology. I am originally from Columbus, OH, but chose to come down to Atlanta after getting a full-ride scholarship from Geor...

Education

Georgia Institute of Technology-Main Campus

Bachelor of Science, Industrial Engineering

Test Scores
Perfect Score
ACT
36
Emily

Certified Tutor

8+ years

Emily

Bachelor of Science, Biology, General
Emily's other Tutor Subjects
Pre-Algebra
Calculus
Algebra
AP Biology

I am currently a fourth year medical student in Indianapolis. I completed my undergraduate education at Indiana University Bloomington, where I majored in Biology and Spanish. I also completed two minors in Mathematics and Chemistry. While at IU, I worked for the Department of Mathematics and Depart...

Education

Indiana University-Bloomington

Bachelor of Science, Biology, General

Indiana University-Purdue University-Indianapolis

Doctor of Medicine, Community Health and Preventive Medicine

Test Scores
SAT
1480
ACT
35
Vansh

Certified Tutor

9+ years

Vansh

Bachelor of Science, Aerospace Engineering
Vansh's other Tutor Subjects
Pre-Algebra
Calculus
Algebra
IB Mathematics: Analysis and Approaches

I am currently pursuing a Bachelors of Science in Aerospace Engineering at the Georgia Institute of Technology. I am also a graduate of the high school International Baccalaureate Program. I have informal experience tutoring high school physics, but am most passionate about tutoring students for the...

Education

Georgia Institute of Technology-Main Campus

Bachelor of Science, Aerospace Engineering

Test Scores
Perfect Score
SAT
1520
ACT
36
Benjamin

Certified Tutor

5+ years

Benjamin

Bachelor of Science in Finance and Economics (minor: Innovation and Entrepreneurship)
Benjamin's other Tutor Subjects
AP Statistics
Trigonometry
Middle School Math
Calculus

I am a 2023 graduate of the University of Notre Dame with a Finance/Economics major and a minor in Innovation and Entrepreneurship. I am a passionate student in the math and business realms, as I enjoy the intuitiveness of the former and the real-world potential of the latter. During classes in midd...

Education

University of Notre Dame

Bachelor of Science in Finance and Economics (minor: Innovation and Entrepreneurship)

Test Scores
Perfect Score
ACT
36
John

Certified Tutor

16+ years

John

Bachelor of Fine Arts, English/Drama
John's other Tutor Subjects
AP Calculus AB
College Algebra
Middle School Math
Geometry

I'm a huge Red Sox fan and love watching detective shows when I have free time.

Education

University of St Thomas

Bachelor of Fine Arts, English/Drama

American Academy of Dramatic Arts

Associates, Acting

Test Scores
Perfect Score
SAT
1420
ACT
36
Max

Certified Tutor

Max

Bachelors, Biology, General
Max's other Tutor Subjects
AP Statistics
AP Calculus BC
AP Calculus AB
Pre-Algebra

I am in the process now of applying for PhD programs in Computational Biology. I have done research in the field of freshwater ecology and am anticipating the publication of a paper I co-authored in the next several months.

Education

Ball State University

Bachelors, Biology, General

Test Scores
Perfect Score
SAT
1580
ACT
36

Meet Our Expert Tutors

Connect with highly-rated educators ready to help you succeed.

Satvik

AP Statistics Tutor • +68 Subjects

I am an incoming college sophomoore studying Aerospace Engineering at the Georgia Institute of Technology. I was one of the top scholars at Carmel High School in Indiana and have various experiences teaching and tutoring through leading the Carmel High School Science Olympiad team to Nationals for two years in a row. Many of my friends consistently come to me for help with various subjects because of my willingness to help and teach in a way that makes sense to everyone. My specialities are physics, chemistry, math, and economics but I am comfortable tutoring any STEM subject, the SAT, and the ACT. Some of my accomplishments include a perfect 36 ACT score, 800 on the Physics, Math Level 2, and Chemistry SAT subject tests, and a 5 on all the physics, Calculus BC, Chemistry, Macroeconomics, Computer Science, etc. AP exams. When teaching, I focus on making sure that not only do students understand different concepts, but also that students understand why and practical applications of the different concepts. As a recent high school graduate, I have a deep understanding of how high-schoolers think, what is covered in various courses now, and can connect with my students a lot more. Additionally, as an undergraduate teaching assistant at the College of Computing at Georgia Tech, I taught weekly recitation sections of 30 students and held weekly office hours. Therefore, I have lots of experience teaching and working with students.

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Chelain

Calculus Tutor • +14 Subjects

I am currently a resident physician at Northwestern Hospital.

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Samantha

Pre-Algebra Tutor • +38 Subjects

I'm a first-year medical student and recent graduate from Duke University, where I studied Global Health Determinants, Behaviors, and Interventions. From running a piano program at a nonprofit children's theatre to private tutoring in math, science, and standardized test prep, I enjoy helping my students become confident and self-sufficient learners! Hobbies: photography, travel, reading, music, writing, running, art, books, traveling

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Daniel

AP Calculus BC Tutor • +21 Subjects

I am an Undergraduate Student at Vanderbilt University. With years of tutoring experience and a solid academic foundation, I am fully equipped to teach in various subjects at many different levels.

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Ethan

AP Statistics Tutor • +66 Subjects

I am not teaching or grading papers, I can usually be found playing some brass instrument or another, umpiring baseball, trying out a new recipe in the kitchen, or spending far too much time on Netflix.

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Sugi

Pre-Algebra Tutor • +54 Subjects

I am currently a 4th year medical student at Baylor College of Medicine and previously graduated from Rice University, Summa Cum Laude with a Bachelor's degree in Cognitive Science and Biochemistry & Cell Biology. I have served on admissions interview committees for Rice and Baylor College of Medicine, have mentored and edited essays for numerous college and graduate school applicants, and served as a private tutor and classroom instructor for Advanced Biology and Chemistry courses for 3+ years.

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Anna

Calculus Tutor • +34 Subjects

I'm Anna! I'm currently a student in the MD/MBA program between Northwestern University's Feinberg School of Medicine and the Kellogg School of Management, and graduated from Northwestern University as part of the Honors Program in Medical Education. I attended the Bergen County Academies in New Jersey, a selective, application-based magnet school, for high school.

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Miguel

AP Statistics Tutor • +116 Subjects

I am able to travel to most of Philadelphia and its surrounding suburbs, and my schedule is flexible. I look forward to finding times that both of us can work together. Best regards, and may you achieve your educational goals.

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Sami

Pre-Algebra Tutor • +19 Subjects

I am a Duke University graduate in Economics and Computer Science. I am currently pursuing an MBA degree at the Yale School of Management. I have worked in the financial field, both at a management consulting firm and a fortune 500 company. My hobbies include playing and coaching soccer. Hobbies: reading, writing, art, books, music

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Adam

College Algebra Tutor • +42 Subjects

I am a graduate of Denison University. I received my Bachelor of Arts in Philosophy, with minors in Spanish and music performance. Throughout high school and college, I have been tutoring my peers in Spanish, English, philosophy, math and even music theory. I have also tutored adults in GRE subjects. Since graduation I have been helping Spanish-speaking children in DC with their English and working at a lobbying firm. I tutor in a variety of subjects, focusing on Spanish, English, Math and Standardized Tests. I tutor in a fun, competitive and encouraging style, often comparing learning to reaching a new benchmark in a sport, or leveling up in a video game. I spend most of my free time playing soccer, singing and playing chess.

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Frequently Asked Questions

Abstract Math tutoring generally covers foundational proof-based mathematics, including set theory, logic, mathematical induction, and basic algebraic structures. Depending on your level, this may also include group theory, ring theory, field theory, and linear algebra from a theoretical perspective. The specific topics depend on your course curriculum—tutors can customize instruction to align with your particular course requirements and textbook.

Abstract Math represents a significant shift from computational mathematics. Students often struggle because the focus moves from "how to solve" to "why this works" and "how to prove it." Common challenges include understanding proof techniques, grasping abstract concepts like groups and rings that lack concrete examples, and developing the logical reasoning skills needed for rigorous arguments. Personalized 1-on-1 instruction helps bridge these gaps by addressing your specific misconceptions and building confidence with proof writing at your own pace.

Tutors work with you on the structure and logic of mathematical proofs through guided practice and feedback. This includes learning different proof techniques (direct proof, proof by contradiction, mathematical induction), identifying what needs to be proven versus what can be assumed, and refining your mathematical communication. Over time, you'll develop the ability to recognize proof patterns and apply them independently. Regular practice with personalized feedback is one of the most effective ways to build strong proof-writing skills.

Look for a tutor with strong theoretical mathematics background and experience teaching proof-based courses. The best tutors can explain abstract concepts clearly, break down complex proofs into manageable steps, and help you develop intuition for why theorems matter—not just how to prove them. They should also be patient with the learning process, as Abstract Math typically requires time to internalize new ways of thinking. When you connect with a tutor through Varsity Tutors, you can discuss your specific needs to ensure a good fit.

This varies significantly based on your mathematical background and starting point. Students with strong foundations in algebra and precalculus typically need 4-8 weeks of consistent practice to feel comfortable with basic proof techniques. Mastering more complex topics like abstract algebraic structures may take several months of ongoing study. Personalized tutoring can accelerate this timeline by targeting your specific weak areas and providing immediate feedback, rather than learning through trial and error alone.

Yes. Tutors can help you develop exam strategies specific to proof-based tests, such as identifying which proof techniques apply to different problem types and managing your time effectively when writing proofs under pressure. They can also work through practice problems and past exams with you, help you recognize common pitfalls in your reasoning, and build the confidence you need to approach unfamiliar proof problems during the actual exam. Regular practice and feedback leading up to your exam makes a significant difference in performance.

Consistent, focused practice is essential. Work through textbook problems regularly, attempting proofs on your own before checking solutions. Keep a list of common proof techniques and theorems you've learned, and try to identify which techniques apply to new problems. Write proofs out completely, not just in your head—this helps you catch logical gaps and improve mathematical communication. Ask your tutor for a structured practice plan that builds gradually in difficulty, and bring questions from your practice sessions to your tutoring appointments for feedback and clarification.

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