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Award-Winning Modern 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
Jessica

Certified Tutor

Jessica

PHD, Medicine
Jessica's other Tutor Subjects
College Algebra
Calculus
Algebra
Honors Chemistry

I am a licensed physician from Florida who is currently changing careers. I graduated from the University of Pennsylvania in 2009 and have extensive tutoring and editing experience. While a student, I became a certified writing tutor through the Critical Writing Department. Since I completed my writ...

Education

Nova Southeastern University

PHD, Medicine

University of Pennsylvania

Bachelors, History

University of Pennsylvania

undergraduate

Test Scores
SAT
1540
Jai

Certified Tutor

9+ years

Jai

Bachelors in Electrical Engineering and Computer Science
Jai's other Tutor Subjects
Calculus
Algebra
Electrical Engineering
ACT Writing

I'm a recent Stanford graduate (Electrical Engineering and Computer Science), and have been working at a major Management Consulting firm for a few years now. I personally scored a 2360 (out of 2400) on the SAT and 35 on the ACT and was successful in gaining admission to several top universities. I'...

Education

Stanford University

Bachelors in Electrical Engineering and Computer Science

Test Scores
SAT
1590
ACT
35
Kate

Certified Tutor

Kate

Masters, Environmental Engineering
Kate's other Tutor Subjects
AP Calculus BC
AP Calculus AB
College Algebra
Pre-Calculus

I'm available to tutor biology, chemistry, physics, math from Algebra up through AP Calculus, SAT test prep, and French. I've been tutoring students in science and math for 7 years. I also spent 8 months working and studying in France, and have tutored high school and adult students in French. When ...

Education

Massachusetts Institute of Technology

Masters, Environmental Engineering

Massachusetts Institute of Technology

Bachelors

Test Scores
SAT
1580
Erika

Certified Tutor

Erika

Master of Public Policy, Public Policy
Erika's other Tutor Subjects
Pre-Algebra
Middle School Math
Calculus
Algebra

I am available to tutor middle and high school math, history and test prep. I have tutored math and history in the past and I previously taught a test prep course at a school in Hanoi, Vietnam. I have a lot of experience teaching all the need-to-know tricks to doing great on the SATS/ACTS! When I am...

Education

Harvard University

Master of Public Policy, Public Policy

Test Scores
ACT
32
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

Meet Our Expert Tutors

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

Jeffrey

Pre-Calculus Tutor • +29 Subjects

I am enrolled in the Mechanical Engineering PhD program at Rice University which will begin Fall 2020, and I am hoping to return to academia as a professor after earning my PhD. In the meantime, I am looking to share my passion for gaining knowledge, specifically in STEM, by educating the up and coming members of such a great field. I have experience tutoring both Calculus and Physics at Notre Dame, as well as experience as a Student Assistant for Differential Equations and Mechanics. I believe the key to learning is much deeper than learning to solve problems and that seeking knowledge is one of the best means for personal improvement.

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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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Sharon

Pre-Algebra Tutor • +29 Subjects

I am a graduate of the University of Chicago, and I will be starting a graduate program at Columbia in August. I am about to complete a year of service with City Year, an education non-profit that places young adults into under-served schools. As a City Year member, I worked full-time in the classroom with middle-school students who were in approximately the 10th percentile for math (meaning they score lower than 90% of students). One-fourth of those students were able to grow around 15 percentile points by the end of the year! Hobbies: reading, cooking, gardening, music, art, nature, books, writing

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Annie

Pre-Algebra Tutor • +28 Subjects

I am currently a second year medical student. I was a Physiological Sciences major at UCLA (class of 2015), and pursued research during my gap year between undergrad and medical school.

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Tony

Calculus Tutor • +28 Subjects

I am a recent graduate of Yale University and incoming first year medical student at Columbia University. Originally from the DC area, I have always had a passion for science and medicine and pursued a degree in Biology while at Yale. During the 2008-2009 academic year, I tutored science, math, English, history, and Mandarin Chinese part-time with a DC-based tutoring company. At Yale, I worked as a freshman counselor to provide academic and career advice to incoming freshmen. I have taken both SAT and MCAT test prep classes and am familiar with both tests as well as the preparation necessary to score well. My personal career goals include attending medical school to pursue either immunology/infectious diseases or psych/neurology, teaching biology at the university level, and working in public/global health with either the CDC or the WHO.

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Matthew

Pre-Algebra Tutor • +39 Subjects

I'm a highly creative person who works best with visual thinkers. Very recently graduated from Stanford University, I majored in Human Biology with a concentration in Bioinformatics and Stem Cell Science. Technical though my background may be, I am currently gigging as a singer/songwriter/composer in NYC and tackle even the most hard-science of problems with a top-down, big-picture, holistic approach. If you have a propensity to look at problems in a cross- or inter-disciplinary manner (or want to learn how to do so), I'm the tutor for you!

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Charles

AP Calculus AB Tutor • +25 Subjects

I am a junior Mechanical Engineering major at Yale, and I hope to become a Naval Aviator after college. I am also a varsity sailor, and enjoy playing music with friends when I can get some free time. I have been tutoring my fellow students throughout my entire academic career, and I would best describe my tutoring style as one that adapts to each students' needs. For example, I have always tried to frame questions in a different way so that the student can better understand the question. Some students need visual representations of numbers and systems to understand them, and others benefit more by understanding the concepts behind each formula. I prefer to tutor in math and physics, and especially with real world application problems. I hope to help students improve their standardized test scores and their understanding of the math and sciences so that they can achieve their academic goals! Hobbies: art, books, running, reading, music, writing

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Tiffany

Pre-Algebra Tutor • +56 Subjects

I am available to tutor a broad range of subjects, I am passionate about test preparation, Accountancy, and Algebra.

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MaryAnn

Calculus Tutor • +21 Subjects

I am a published author who has enjoyed “coaching” our daughter, as she navigated through high school, college and graduate school. I mentor college juniors who are seeking careers in financial services, and I serve as a peer resource to professionals who are transitioning from private industry to the nonprofit sector. Hobbies: reading, cooking, writing, books, music, art, travel

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Samuel

AP Calculus AB Tutor • +29 Subjects

I am a freshman at Caltech majoring in Applied and Computational Mathematics. My favorite subject to tutor is math because I find it very rewarding to simplify complex topics to aid in understanding. I have lots of tutoring experience. In high school, I ran and taught an SAT prep class and was vice president of my school's NHS chapter where I ran our tutoring program, and I, myself, tutored. I also was a teaching assistant in the summer of 2020 for a class in discrete mathematics through a program called PACT (Program in Algorithmic and Combinatorial Thinking). I love learning and hope to make the process enjoyable for you!

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Frequently Asked Questions

Modern Algebra shifts focus from solving equations to understanding the deeper structures and patterns that govern mathematical systems—like groups, rings, and fields. Students often struggle because it requires conceptual thinking rather than just procedural steps. Instead of asking "How do I solve this?", you're asking "Why does this work?" and "What properties make this system behave this way?"

This transition can be challenging because students need to think more abstractly and prove why things work, not just show that they do. A tutor can help bridge this gap by connecting abstract concepts to concrete examples and building your intuition before diving into formal proofs.

Proof writing is a skill that develops through guided practice and feedback. The key is understanding not just what to prove, but why certain approaches work and others don't. Many students initially struggle because they confuse "showing an example" with "proving something is always true."

Working with a tutor on proof techniques helps you learn to recognize problem patterns, choose appropriate proof strategies (direct proof, proof by contradiction, induction), and present your reasoning clearly. Over time, you'll build a toolkit of proof techniques and develop the logical thinking needed to construct solid arguments.

Abstract structures like groups, rings, and fields become much clearer when you see them through multiple lenses—starting with familiar examples (like integer addition or symmetries of shapes) before generalizing to abstract definitions. This concrete-to-abstract progression helps you build intuition before tackling formal axioms and theorems.

A tutor can guide you through key examples, show why certain properties matter, and help you recognize these structures in different contexts. When you understand that a group's axioms guarantee specific behaviors, studying Modern Algebra shifts from memorizing definitions to seeing elegant patterns across mathematics.

In Modern Algebra, showing work isn't just about getting credit—it demonstrates that you understand why each step follows from previous ones and from the axioms or theorems you're using. Your reasoning is the entire point. Incomplete or skipped steps can hide gaps in understanding that need to be addressed.

The right level of detail depends on your audience and context, but generally you should justify each logical step, cite theorems or properties you're using, and make your thought process transparent. A tutor can help you develop clear, convincing mathematical writing and teach you when you have enough justification versus when you need to explain further.

Modern Algebra topics—groups, rings, fields, and homomorphisms—are deeply interconnected, but these connections aren't always obvious when you're first learning them. Students often see each topic as separate until they step back and notice recurring patterns: how group axioms mirror ring axioms with differences, or how homomorphisms reveal structural similarities between different systems.

A tutor helps you build these mental bridges by asking guiding questions that highlight patterns, exploring how concepts in one area illuminate another, and showing you how theorems in different chapters often rely on the same underlying ideas. When you see these connections, Modern Algebra transforms from a collection of abstract topics into a coherent framework.

Effective preparation goes beyond reviewing notes and redoing practice problems. You need to build conceptual understanding by working through problems you've never seen before, articulating why theorems matter, and practicing proof-writing under realistic conditions. This mirrors what happens on an exam: you need to apply concepts flexibly, not just reproduce familiar solutions.

A tutor can help you identify gaps in understanding before the exam, work through challenging problem types, review proof strategies, and build confidence in your ability to tackle novel problems. Practice testing with feedback is especially valuable—it shows you where your understanding is solid and where you need to deepen your thinking.

The best Modern Algebra tutors combine deep subject knowledge with the ability to explain abstract concepts clearly and patiently. They should be comfortable with proofs, understand common student misconceptions, and know how to build intuition before diving into formalism. They also recognize that everyone's learning pace is different and adjust their explanations accordingly.

Look for someone who asks good questions (rather than just providing answers), can connect abstract theory to concrete examples, and helps you develop problem-solving strategies rather than just solving problems for you. Varsity Tutors connects you with expert tutors who understand Modern Algebra deeply and know how to make it accessible.

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