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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

Certified Tutor
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

Certified Tutor
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
Languages Tutor • +4 Subjects
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
Anna
ACT Writing Tutor • +27 Subjects
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.
Catherine
Algebra Tutor • +15 Subjects
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.
Grace
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I am a graduate of Harvard Graduate School of Education (3.95 GPA) and New York University (3.98 GPA). I have worked with students of all ages. I love adapting my teaching style to the individual needs of each student to help them fulfill their greatest potentials.
Sarah
Elementary School Math Tutor • +20 Subjects
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
Creative Writing Tutor • +18 Subjects
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.
Maria
ACT Prep Tutor • +15 Subjects
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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Passionate social justice advocate eager to serve as a mentor to the youth. Sociologist at heart. I am the rose that grew from the concrete.
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ACT Prep Tutor • +25 Subjects
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
Conversational Mandarin Tutor • +14 Subjects
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
Students typically struggle most with the conceptual leap from standard calculus to understanding how geometric measures interact with integrals. The biggest pain points are: visualizing how measures on curves and surfaces behave under transformations, understanding the relationship between differential forms and geometric quantities, and connecting abstract measure theory to concrete geometric problems. Many students also find the transition from Euclidean to non-Euclidean settings conceptually demanding, and struggle to see how classical results (like the Cauchy-Crofton formula) emerge naturally from the underlying theory.
Tutors skilled in Integral Geometry break down transformations by starting with concrete examples—like how arc length behaves under rotation or scaling—before moving to abstract invariance principles. They help students visualize how measures on curves and surfaces change (or stay constant) under group actions, often using diagrams and parametric representations to make the geometry tangible. A strong tutor will connect these transformations back to the integral formulas students are working with, showing how symmetry reduces computational complexity and why certain quantities are invariant under specific transformations.
Many Integral Geometry students feel caught between abstract measure-theoretic definitions and geometric meaning. Tutors bridge this gap by starting with geometric intuition—what does a measure actually represent in physical or spatial terms?—then showing how the formal definitions capture that intuition rigorously. For example, a tutor might explain Haar measure on a group by first exploring how it generalizes arc length, or introduce differential forms by connecting them to area and volume elements students already understand. This approach helps students see that the abstraction serves the geometry, not the reverse.
Effective Integral Geometry tutors teach students to identify the symmetry and invariance structure of a problem first, before diving into calculations. Key strategies include: recognizing which group actions are relevant, determining what measures or quantities should be preserved, and using Fubini's theorem or change-of-variables formulas to simplify integrals over transformed spaces. Tutors also help students develop the habit of checking whether a result makes sense geometrically—does the formula capture the expected symmetries? This strategic approach prevents students from getting lost in computational details and builds confidence in tackling unfamiliar problems.
Tutors work with students to build intuition by consistently asking 'what does this mean geometrically?' and encouraging students to sketch, visualize, and explore examples before generalizing. They help students see patterns—like how the Cauchy-Crofton formula relates line intersections to curve length, or how kinematic measures encode information about motion and shape. Through targeted examples and guided exploration, tutors help students internalize why certain theorems hold and recognize when they apply, transforming Integral Geometry from a collection of abstract formulas into a coherent framework for understanding geometric measurement.
A strong Integral Geometry tutor should have deep familiarity with differential geometry, measure theory, and group actions—the foundational tools of the subject. Beyond technical knowledge, look for someone who can explain abstract concepts through concrete examples and has experience helping students transition from computational to conceptual understanding. The best tutors also understand common misconceptions (like confusing invariant measures with constant functions, or misapplying symmetry arguments) and can diagnose where a student's understanding breaks down, then rebuild it from the ground up.
For students new to Integral Geometry, tutors focus on building foundational understanding of how measures work geometrically and establishing comfort with differential forms and group actions. For intermediate students, tutoring emphasizes problem-solving strategies, recognizing when classical theorems apply, and developing fluency with transformations and invariants. Advanced students benefit from tutors who can help them see connections to broader mathematics—how Integral Geometry relates to harmonic analysis, representation theory, or applications in stochastic geometry—and support them in tackling research-level problems or independent projects.
Tutors teach students to structure proofs by first identifying the key geometric insight or invariance principle, then showing how the formal definitions and theorems support that insight. They emphasize clarity in notation, careful justification of measure-theoretic steps (like when Fubini's theorem applies), and explicit connection between abstract formulas and geometric meaning. By reviewing student work and asking 'why does this step work?' and 'what geometric property are we using here?', tutors help students move beyond mechanical symbol manipulation to writing proofs that demonstrate genuine understanding of the underlying geometry.
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