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8+ years
Jane
I am a current student at Princeton University, obtaining a major in English with minors in Environmental Studies and Musical Theater. I graduated from Sewickley Academy in 2016 as a member of the Cum Laude Society with highest honors for all semesters. I am an AP Scholar with Honors, an Academic Al...
Princeton University
Current Undergrad Student, English

Certified Tutor
5+ years
Anna
With each of my experiences working with children my passion for education has grown. I first came to Austin to work with a Spanish literacy intervention program through Americorps called A Community for Education (ACE). After my service with ACE I taught at a dual language (Spanish-English) school ...
Oberlin College
Bachelors, Comparative American Studies
The University of Texas at Austin
Current Grad Student, Communication Sciences and Disorders

Certified Tutor
10+ years
Deborah
My MA in English with a concentration in Rhetoric and Composition, together with my MA in Adult Education and Continuing Education, qualified me to have a stellar forty-three-year career as a full-time college professor predominately in the University System of Georgia. I have successfully instructe...
Georgia State University
Master of Arts, English
University of Missouri-Kansas City
Master of Arts, Adult and Continuing Education
University of Georgia
Bachelor in Arts, Political Science and Government

Certified Tutor
10+ years
Hi. I love math and I love teaching math. I am a state certified high school math teacher. I have 31 years of classroom experience. I currently teach Pre-Calculus and AP Statistics.
Clark Atlanta University
Bachelor of Science, Mathematics

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Katherine
Hi, my name is Katherine and I've been tutoring in various capacities since 2012. Although I'm currently studying Computer Science at Swarthmore College, I have expertise in a number of subject areas and I'd love to help you out.
Swarthmore College
Current Undergrad Student, Computer Science

Certified Tutor
4+ years
Samantha
I believe every student has a unique learning skill set and every teacher continues to learn from her students. To ensure every student receives the best tutoring, I strive to offer excellent communication and a diverse set of teaching skills.I obtained my Bachelor in Business Administration from th...
University of Wisconsin-Whitewater
Bachelor in Business Administration, International Business/French
Vermont Law School
Juris Doctor, International Law

Certified Tutor
6+ years
Christopher
I am a current student at Rutgers University on track to major in Electrical Engineering. I tutor a wide range of math from elementary level up to high school and college. This range includes algebra, trigonometry, pre-calc and calculus. I have had many experiences through my high school and outside...
Rutgers University-New Brunswick
Bachelor of Engineering, Electrical Engineering

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Jerry
Hey, I enjoy teaching math, computer science, and the SAT! Contact me if you are interested in these.
The Texas A&M University System Office
Bachelor in Arts, Political Science and Government

Certified Tutor
8+ years
Amy
I have a B.A. in French and a diploma in Business French from the Chamber of Commerce and Industry in Paris. I also speak Greek, Italian, and Spanish.I have worked as a private tutor in the area of foreign languages, essay writing, and a variety of other subjects for more than a decade. In that time...
Hofstra
Bachelor in Arts, French

Certified Tutor
8+ years
Gabrielle
I am recent graduate of Binghamton University, with a Bachelor of Sciences in Biology. I am deeply committed to the value of education, and believe that learning is a gift and an opportunity for growth that should be available to everyone. For this reason, I am passionate about tutoring and helping ...
SUNY at Binghamton
Bachelor in Arts, Biology, General
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Julie
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I am a graduate of LaSalle University in Mexico City. I received my Bachelor of Science degree inBusiness Administration with a focus on management. I am also a certifiedteacher of Spanish. Since graduation I have worked in Human Resources and I havealso been tutoring children and adults in private and public schools, as wellas online. I am very enthusiastic about teaching my native language because Ifeel that in that way I am enriching my students' education and experiences inlearning aspects of another culture. One area where we seem to have the mostfun is prepping for exams and writing assignments. I am a firm proponent ofeducation, and as a tutor, my approach is based on each of my students'level of proficiency, their goals, and their learning pace. I focus on providinga pleasant and safe experience for my students. I prepare lesson plans that arecreative and introduce new topics in a fun way, spending enough time reviewingthe material. Afterwards, I allow students time to practice on their own. I encourage you to contact me to schedule so togetherwe can start achieving your goals
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I honestly love tutoring. While working in finance and publishing over the past decade, I have independently tutored students from many premiere NY and NJ high schools and universities. I continued tutoring even after joining a major private equity firm because of how much I enjoy working one-on-one with students. Breaking down seemingly complex subjects is one of my favorite pastimes--it's part of the reason I also enjoy writing about arcane financial topics like quanto spreads on sovereign CDS. I've also developed a newfound respect for the challenges students face when undergoing years of testing after developing my own study plan to pass the first two CFA exams (I'm taking the third exam in June). This experience has shaped how I work with students to tackle test-taking anxiety and master difficult material quickly.I have both a BA and MA in English from New York University.
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Hello! My name is Catherine Raj and I am a second-year medical student at Ohio University Heritage College of Osteopathic Medicine. I graduated from The Ohio State University with a Bachelor's of Science in Neuroscience in 2022. Since 2015, I have tutored children from ages 3-16 in areas of math and reading, as well as their school curriculum. Apart from tutoring here, I have worked for the Kumon Learning Center as a teaching instructor for 5 years. While I am certified to tutor a broad range of subjects, I have years of experience with tutoring young children in math and reading, such as addition, subtraction, multiplication, division, phonics, reading comprehension, and much more. I connect with elementary and middle school students very well, as I believe in understanding children in order to give them a fulfilling tutoring experience. I also very much enjoy tutoring pre-algebra and algebra as those are my favorite math subjects, as well as my best! My students and I have always had a deeper level of understanding beyond the books and I pride my style of teaching on that aspect.
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I have been a special education teacher in Somerset County for the last 5 years. I have worked in self-contained classrooms and am currently working as a 4th grade resource room Reading and Math teacher. Next spring, I will graduate from Rutgers University's Graduate School of Education with an Ed.M in Reading Education. I will be a certified Reading Specialist as well as a certified supervisor. I am currently a certified Literacy Specialist.
Chester
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I love English, and good writing. Since I like working one-or-one or with a small group, tutoring is a great way for me to help young people communicate more effectively in writing. As a social scientist, I also like to talking about statistics and social science. I like to teach by example and ask lots of questions so students can discover answers themselves. When not working, I like to watch movies, exercise, and write science fiction.
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I received my Bachelor of Science degree in Biochemistry from Denison University. I am currently pursuing an M.D. at Case Western Reserve University. I've been a college-level teaching assistant for both introductory biology and general chemistry. Besides chemistry, I really enjoy tutoring for test prep (ACT and MCAT) because I view these types of tests to be a collection of puzzles to solve. It's a lot of fun helping students to figure out the logic behind these puzzles and apply it broadly, and it's incredibly rewarding to see this integration of knowledge translate to a high score. When working with students, I like to challenge them to identify the purpose of the problem or question and what underlying reasoning can be applied broadly in future questions. In doing so, students gain more long-term usable skills and the ability to think independently.
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I am a current undergraduate student at Columbia University in New York City, pursuing a Bachelors of Arts in History and Economics. These are two of the subjects that I enjoy tutoring the most, but I also have a penchant for tutoring and learning about math and literature. I am passionate about tutoring because I benefited from the personalized guidance of great tutors in my past and I really enjoy seeing students push themselves and develop an appreciation for subject areas or even the mental exercise of test-taking thanks to tutoring. I also believe that tutoring a subject area is the greatest way to maintain and develop understanding of its material for both the student and the tutor. I was an active tutor in high school in mathematics and history and as I take more classes in college, I look forward to tutoring students in those in which I understood the material really well. In my spare time, I enjoy reading about history, camping, biking, and traveling when I can (or exploring the incredible city of New York)!
Qin
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Living in Great New York Area since 2008. Graduate student at Columbia University.Major in Finance + Economics (Undergraduate Program), and Public Administration (Graduate Program), Average GPA is 3.65.Speak Mandarin, English and Japanese.Subjects cover East Asian History (China & Japan), International Relation, Public sector (NPO related).
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Frequently Asked Questions
Projective geometry studies properties of geometric figures that remain unchanged under projection—essentially what you see when you look at objects from different angles or distances. Unlike Euclidean geometry, which focuses on measurements like distance and angles, projective geometry emphasizes how points, lines, and shapes relate to each other structurally. A key difference is that in projective geometry, parallel lines meet at a "point at infinity," which opens up entirely new ways of thinking about space and perspective. Understanding this conceptual shift from metric properties to projective properties is crucial for appreciating why projective geometry matters in art, architecture, computer graphics, and advanced mathematics.
Projective geometry proofs require a different mindset than Euclidean proofs because they rely on abstract structural relationships rather than concrete measurements. Many students initially try to use familiar tools like the Pythagorean theorem or angle measures, which don't apply in projective settings. The real challenge is learning to think visually and structurally—recognizing collinearity, cross-ratios, and duality without falling back on metric reasoning. A skilled tutor helps students build confidence by breaking complex proofs into logical steps, showing how to identify which projective properties apply to each situation, and helping them see the elegant patterns that make these proofs work.
Cross-ratios and harmonic division are foundational concepts in projective geometry, but they feel abstract at first because they don't connect to everyday intuition the way distance does. The key is to work with concrete examples—start with specific points on a line, calculate the cross-ratio step by step, and notice how it stays the same under projection. Understanding that cross-ratios measure how four points relate to each other structurally helps you see why this property is so powerful across different geometric contexts. Personalized tutoring makes this click by having you work through multiple examples with increasing complexity, recognizing patterns, and building confidence in applying cross-ratios to prove more sophisticated results.
Duality is one of the most elegant aspects of projective geometry—it's the principle that points and lines play symmetric roles, so many theorems about points automatically have dual versions about lines. This isn't just a clever mathematical trick; it reveals deep structure in geometry and helps you understand why certain relationships exist. For example, Desargues' Theorem and its converse both illustrate duality in action. Learning to recognize and use duality helps you prove theorems more efficiently and deepen your conceptual understanding of how projective geometry works. A tutor can help you see duality as a powerful problem-solving tool rather than an abstract concept.
Projective geometry is the mathematical foundation for perspective in art and the geometry behind how computers render 3D scenes on 2D screens. When Renaissance artists developed perspective techniques, they were intuitively using projective principles—parallel lines receding toward a vanishing point, for instance. In computer graphics, understanding how projections work is essential for ray tracing, camera transformations, and rendering. Seeing these real-world connections helps make abstract projective concepts feel tangible and relevant. A tutor can use concrete examples from photography, architecture, and digital design to show why the theory matters and help you appreciate the beautiful interplay between pure mathematics and practical applications.
Projective conics (ellipses, parabolas, and hyperbolas viewed through a projective lens) are unified in a way that Euclidean geometry doesn't show—projectively, they're all the same type of curve, distinguished only by how they interact with the line at infinity. To build strong understanding, focus on how conics behave under projection, what properties remain invariant, and how to work with them algebraically in homogeneous coordinates. The shift from thinking about conics as separate types to recognizing their underlying unity is a major conceptual milestone. Personalized instruction helps you recognize that this unified view isn't just elegant—it simplifies many proofs and opens doors to deeper results in algebraic geometry.
Many students initially approach projective geometry by memorizing formulas and procedures, but true mastery comes from understanding the underlying concepts and seeing how different ideas connect. A skilled tutor helps you recognize structural patterns, asks questions that prompt you to think more deeply about why theorems work rather than just how to apply them, and guides you toward making your own discoveries. This shift—from "how do I solve this?" to "why does this structure work this way?"—builds genuine confidence and makes advanced topics feel less intimidating. Personalized tutoring is particularly valuable here because a tutor can identify where your conceptual gaps are, adjust explanations to match your thinking style, and celebrate the moments when abstract ideas suddenly click.
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