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Certified Tutor
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

Certified Tutor
14+ years
Amos
I am a music and arts industry professional with over 20 years experience working in a variety of settings. It would be my pleasure to help you achieve your academic and musical goals.I come from a family of teachers, specifically music educators, but my experiences run the gamut of all kinds of tea...
The Juilliard School
Master of Arts, Music Performance
Johns Hopkins University
Bachelor in Arts, Music Performance

Certified Tutor
9+ years
Elias
I live by the following motto. "You teach what you are, so be something worth teaching". My goal is to get the students to the Eureka's moment, when they realize that the subject matter is actually enlightening. My background is diverse as I'm a very curious individual. I studied Political Science a...
University of St Thomas
Masters, Software Engeneering
Ruhr Universitaet Bochum
Bachelors, Political Science and Foreign Languages

Certified Tutor
Angela
I graduated from the University of Houston. I received a Bachelors of Business Administration in Accounting. I also completed a major in history and a minor in English. I enjoy tutoring students in math, English and history but I am able to students succeed in other subjects as well. I believe that ...
University of Houston
Bachelor in Business Administration, Accounting

Certified Tutor
9+ years
Daniel
Hello! I am a native of western Pennsylvania. This is where I grew up, attended high school, and began my college career. I completed my Bachelor of Arts at the University of Pittsburgh in 2011. I left Pittsburgh to attend the University of Chicago, from which I graduated in 2013. I stayed in Chicag...
University of Chicago
Masters, Humanities
University of Pittsburgh-Pittsburgh Campus
Bachelors, Philosophy and Sociology (Religious Studies minor)

Certified Tutor
9+ years
Lesley
I firmly believe that we all have the capability to achieve our goals and excel at most anything to which we put our minds. I work hard to ensure that my students are provided with the skills and tools that will enable them to study effectively and reach their full potential. I recognize that not ev...
University College London
PHD, Cultural Heritage
University College london
Bachelors, Cultural Heritage
Top 20 Math Subjects
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Christina
Elementary School Reading Tutor • +39 Subjects
Hi! My name is Christina and I am a current teacher in Chicago. I have been teaching for the past 4 years and I currently work as an interventionist at a public school for students K-6. I am certified in Illinois and Rhode Island as a K-6 general education teacher, K-12 special education teacher and as a reading specialist!I believe in using a differentiated, personalized for each student, and engaging method of teaching that motivates the students and creates opportunities for success!
Stacy
1st Grade Tutor • +48 Subjects
I believe the qualities of a great teacher include accountability, creativity, and exceptional management skills. Students' views of education are shaped by their early experiences in school. A teacher is one of the first people to develop a child's passion for knowledge. Students enjoy the learning experience when they feel their academic curiosity and well being are nurtured. It is important for a teacher to model how all aspects of life is a learning experience. I believe it is important for students to understand that learning is a lifelong journey and their perspective of learning can instill a passion for learning.
Haleigh
Chemistry Tutor • +21 Subjects
Teaching you is my passion! I have been a teacher for the past four years and recently completed a Master's of Education. I have experience working online and in-person, with full classes and one-on-one.My goal is to ensure that you are getting the help that you need. I want to tailor my teaching directly to you and your particular learning styles to ensure that you get the most out of our time together. If something I do doesn't work for you, then I'll change it! You are what's important in this classroom. What helps YOU learn is what is important and I have the resources and the know-how to make that happen.Most of all--I like to make sure class is fun! So let's work together and get learning!
William
ACT Science Tutor • +21 Subjects
Hi! I am currently a senior at the University of Texas where I will receive my Bachelor of Science in Biology. I have also been accepted into the Doctor of Medicine Program at Texas A&M Health Science Center College of Medicine. During high school as well as college, I tutored in a variety of subjects including biology, chemistry, mathematics, and the SAT. I'm very passionate about these subjects because I love to think logically, and I think that learning challenging subjects can be very fun! As for my teaching philosophy, I believe that good practice reaps good results. Instead of constantly repeating information, I like to learn and teach topics through practice problems and walking through each mistake that is made. In my spare time, I like to play video game, play pickup basketball, and weightlifting.
Hannah
ACT Reading Tutor • +12 Subjects
I am a graduate of Texas A&M University, where I received two Bachelor of Arts in Spanish and International Studies and a minor in Economics. From these degrees, I found my passion for culture and language. At Texas A&M, I helped tutor at evening ESL adult classes and was the TA for two writing-intensive courses in International Current Events and Gender and the Global Modern. In my experience tutoring, I always had the most fun exploring and relating the never-ending complexity of language and culture to our studies. Since graduation, I have volunteered with several non-profits as a translator in Guatemala and a Grant-writer state-side. I taught Spanish III & IV at the high school level (both online and in-person). I also worked part-time at a Children's Home, where I offered free tutoring services for elementary through high school level kids in a variety of subjects during the stay-at-home era of COVID-19. I seek to not only educate but to empower young men and women in their abilities to learn and succeed. I am currently pursuing a Master of Social Work from one of the top programs in the country at the University of Pennsylvania. In my spare time, I find joy from being outside, hiking, biking, running, or playing the guitar. I love to explore and create. But overall, there is little I enjoy more than a cup of coffee and time with family and friends.
Kent
American Literature Tutor • +37 Subjects
I have a BA in English from Michigan State University and a MA in Broadcast and Cinematic Arts from Central Michigan University. I also completed 4 years of doctoral studies in American Culture Studies (an inter-disciplinary field that encompasses Film, American History, Sociology, and English) at Bowling Green State University, in Ohio.I have taught courses both online and in traditional classroom settings. Those courses included Film, American Culture Studies, Speech Communication (which includes Public Speaking), and Popular Culture. Currently, I am an instructor for the Art Institutes. I have been with them for 7 years. In addition to my current teaching duties, I also give lectures in Art History.My research interests include Medical Sociology, Comparative Religion, Video Games, and Narratology.I am passionate about teaching because I think learning is important. Education is important. I like to see students learning, because I know how good it feels when you learn something for the first time, or when you finally make a breakthrough in something you have been working hard to achieve. Your mind opens. Your world expands. New horizons await. Learning does that. Education does that. Now, more than ever, you need to make opportunities for yourself, to grow, to advance, to achieve. I am honored to help students start down a path toward making those opportunities happen.I am qualified to tutor a broad range of subjects, but I most excited about helping students improve their overall abilities in all facets of English (including Literature), Art, and Social Studies. That does not mean you need to be majoring in those areas. If you are taking a course in one of those areas, whatever your major might be, I want to help you.My approach to teaching is in guiding students toward realizations. I enjoy interacting with students, creating a dialog, helping them come to their own conclusions, rather than simply giving them the conclusions. My style is informal, but focused. Learning should be engaging, not boring. Some of the best professors I had over the years were in courses outside my majors. Even though I had little interest in the subject matter, they made the material engaging, and I learned a lot.Outside of academic pursuits, I do a lot of weight-lifting, and I enjoy being outdoors. I do study popular culture, so my hobbies and research interests are the same. I am a gamer. I also collect books of all kinds (and comic books), and I do a lot of writing. Also, huge Doctor Who fan.
Michele
Elementary School Tutor • +13 Subjects
I am a graduate of North Carolina Central University. There I received my Bachelor and Master of Art degrees in Criminal Justice with a focus on corrections and sociology. Since graduation, I have spent the majority of my career helping others, including helping individuals who have developmental and cognitive disabilities, as well as supervising others in their work with individuals with disabilities. Three years ago, when I decided to work from home, I found the joy of teaching English as a foreign language to children ages 5 through 17, and it has been a privilege to engage in this work. I've always enjoyed helping others, but I had no idea how incredibly fulfilling teaching would be. As a certified TESOL/TEFL instructor, I have taught students one-on-one for the past three years, and my favorite part of my work has been helping children grow confident in the abilities they don't realize they already possess. I am a firm believer in education because "Knowledge is Power." Knowledge and education grant opportunities in life, and I am dedicated to providing my students with access to those opportunities. Knowledge increases skills, makes goals attainable and enhances one's worldview. Gaining knowledge is a forever investment! In my spare time, when I am not continuing my own journey of lifelong learning, I enjoy reading, board games, watching basketball and football, and spending time with my family.
Vishranth
Aerospace Engineering Tutor • +22 Subjects
Prospective Masters student at the University of Michigan Ann Arbor majoring in Aerospace Engineering. Graduated from CU Boulder with a Bachelors in Aerospace Engineering and a minor in economics. Passionate about aerospace, mathematics, science, and economics. I enjoy learning as well as well helping others in different ways. I am patient when it comes to teaching and understand that people enjoy different learning styles.
Kerry
Bar Exam Tutor • +42 Subjects
I'm an attorney, Ph.D. student, and aspiring law professor. I am working on my dissertation for my Ph.D. in Law at Yale, having previously earned my J.D. magna cum laude from the University of Michigan Law School. I practiced for three years at a large law firm in Washington, D.C., primarily representing television stations.I also speak German, having learned it as a high school exchange student, majored in it in college, and having spent a summer working in a Berlin law office.As much as I love the law--and I really do!--I also love teaching. I recently spent a semester teaching as an Adjunct Professor of Law at a law school; that experience confirmed for me that teaching is what I was meant to do. I have had numerous other teaching and tutoring experiences, including working for my university's tutoring service as an undergraduate student and later working for my law school as a tutor.
Emily
Elementary Math Tutor • +6 Subjects
Learning can happen anywhere, at anytime! I have been working with students and children of all ages for over ten years, in settings anywhere from daycare, to hockey camp, or Spanish Immersion school. I spent the last year teaching fourth grade math in an under-performing public school. In September I will begin working towards my Master's Degree in Theology. As a teacher I aim to determine the specific manner in which a student learns best. Meeting the individual learning needs of each student creates a fun learning environment! I believe that every student has the ability to achieve incredible things and I will guide them to that by maintaining a positive and encouraging environment.I graduated from Trinity College with a double major in Spanish and Religion. I absolutely love tutoring a wide range of subjects including Spanish, Math, English and Religion. In my free time I enjoy being active and playing sports, especially hockey, soccer and softball. I also love to run, roller-blade, and read.
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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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