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Award-Winning Discrete Geometry Tutors

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
Jeffrey

Certified Tutor

6+ years

Jeffrey

Doctor of Philosophy, Mechanical Engineering
Jeffrey's other Tutor Subjects
Pre-Calculus
Geometry
Calculus
Algebra

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 com...

Education

University of Notre Dame

Bachelor of Science

Rice University

Doctor of Philosophy, Mechanical Engineering

Test Scores
ACT
34
Sami

Certified Tutor

9+ years

Sami

Bachelor of Science (Economics and Computer Science)
Sami's other Tutor Subjects
Pre-Algebra
Statistics
Geometry
Calculus

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.

Education

Duke University

Bachelor of Science (Economics and Computer Science)

Yale School of Management

Current Undergrad Student, Business Administration and Management

Test Scores
ACT
35
Sharon

Certified Tutor

9+ years

Sharon

Master of Science, Journalism
Sharon's other Tutor Subjects
Pre-Algebra
Middle School Math
Calculus
Algebra

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 classro...

Education

Columbia University in the City of New York

Master of Science, Journalism

University of Chicago

Bachelor in Arts

Test Scores
SAT
1550
Annie

Certified Tutor

9+ years

Annie

Current Grad Student, MD
Annie's other Tutor Subjects
Pre-Algebra
Middle School Math
Calculus
Algebra

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.

Education

University of California Los Angeles

Bachelors, Physiological Sciences

Drexel University College of Medicine

Current Grad Student, MD

Test Scores
SAT
1540
Tony

Certified Tutor

Tony

Bachelor of Science in Biology
Tony's other Tutor Subjects
Calculus
Algebra
Biology
High School Biology

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, Engl...

Education

Yale University

Bachelor of Science in Biology

Test Scores
SAT
1540

Meet Our Expert Tutors

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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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Quinn

Calculus Tutor • +17 Subjects

I am willing to address any issue with an open mind and I try to develop strategies that play to a student's strengths. I would like to think I am very approachable and personable, and I have had very positive experiences with many students in the past using this philosophy. Outside of academics, I love playing basketball and watching sports, as well as chilling with friends, listening to music, and keeping up with politics and current affairs.

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Zachary

Trigonometry Tutor • +35 Subjects

I am passionate about teaching and tutoring and I thoroughly enjoy helping students gain an understanding and a drive for their studies. I have a long history of working with students of all grade levels and abilities (elementary school through college), and I have a good understanding of strategies to excel in both general academics and standardized tests.

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Pinelopi

Pre-Algebra Tutor • +25 Subjects

I am a Duke University graduate with a Bachelors degree in Psychology. I have experience tutoring all levels of Spanish language, all sections of the SAT, as well as algebra, pre algebra, geometry, and pre-calculus! I love kids & I have a very flexible schedule and a lot of patience! Let me help you :)

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Earnest

Pre-Algebra Tutor • +26 Subjects

I am comfortable with either setting. I'm confident that I can help you (or your student) achieve to the best of their ability, so please don't hesitate to get in touch!

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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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Frequently Asked Questions

Students often find graph theory concepts—particularly proving properties of vertices, edges, and connectivity—challenging because they require both visual and abstract reasoning simultaneously. Combinatorics problems, especially counting techniques like permutations and combinations in complex scenarios, trip up many learners who haven't internalized when to apply which method. Proof writing in discrete contexts is another major pain point; students understand individual concepts but struggle to construct rigorous logical arguments that connect graph properties, set theory, or algorithmic reasoning into coherent proofs.

A tutor can break down proof construction by teaching you to identify the logical structure needed—whether you're proving by contradiction, induction, or direct argument—and then showing how to apply that structure to discrete objects like graphs or sets. They'll help you recognize common proof patterns in Discrete Geometry (like proving a graph is connected, or that a set satisfies a cardinality property) so you can apply similar reasoning to new problems. By working through proofs together and having you explain each step aloud, tutors help you see where your logic breaks down and build confidence in your reasoning process.

Many students struggle because algorithmic thinking requires you to think step-by-step about process and efficiency, not just whether an answer is correct—you need to understand *why* an algorithm works and when to use it. Problems involving shortest paths, sorting, or graph traversal demand this procedural-to-conceptual shift. A tutor can help by walking through algorithms visually (drawing out graph traversals, for example), having you trace through steps yourself, and then asking you to predict what happens if you change a condition—this builds the intuition that transforms algorithms from mysterious rules into logical tools you can reason about.

Visualization is critical in Discrete Geometry because graphs, trees, and networks are inherently visual objects—but being a strong visual learner isn't required. Many students who don't think of themselves as visual learners benefit from tutors who teach them to *create* their own diagrams systematically rather than relying on intuition. A tutor can show you how to translate abstract descriptions (like "a connected graph with 5 vertices and 7 edges") into drawings, and more importantly, how to use those drawings to verify your reasoning. This bridges the gap between abstract discrete concepts and concrete visual representation.

Gaps in set theory, basic logic (quantifiers, logical connectives), and modular arithmetic often undermine Discrete Geometry success because these concepts are used constantly without being explicitly reviewed. Students may also lack fluency with mathematical notation, which makes reading and writing discrete proofs feel overwhelming. A tutor can diagnose these gaps quickly and fill them in context—reviewing set operations or logical notation right when you encounter it in a graph theory problem, rather than as isolated review. This targeted approach helps you build confidence and see how foundational ideas connect to the discrete structures you're studying.

The challenge is recognizing whether a problem calls for permutations, combinations, the multiplication principle, or inclusion-exclusion—and students often memorize formulas without understanding when to apply them. A tutor helps by teaching you to ask diagnostic questions: Are we arranging or selecting? Does order matter? Are there restrictions or overlaps? By working through many problems and explicitly discussing *why* you chose a particular technique, you build pattern recognition that transfers to new scenarios. Tutors also help you organize your work systematically, showing all the reasoning behind your choice, which prevents careless errors and deepens your understanding.

Discrete Geometry can feel intimidating because it's often less familiar than calculus or algebra, and the jump from concrete procedures to abstract reasoning is steep. A tutor normalizes this struggle by showing you that confusion about graphs, proofs, and algorithms is universal—and that working through it carefully, with feedback, is how mastery develops. By celebrating small wins (understanding why a proof works, correctly identifying which counting method to use), tutors help you shift from "I don't get this" to "I didn't get it yet, but here's how I'll figure it out." This mindset change, combined with seeing concrete progress, builds genuine confidence.

Strong students develop habits like drawing or listing examples to understand a problem before attempting a proof, working backwards from what they want to prove, and testing their reasoning on small cases before generalizing. They also learn to break complex problems into subproblems—for instance, proving a graph property by first proving it holds for simple cases, then building up. A tutor teaches these strategies explicitly and helps you practice them until they become automatic. Rather than showing you the "right" answer, tutors guide you to discover these approaches yourself, which makes them stick and transfers to unfamiliar problems.

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