Award-Winning Further Mathematics Tutors

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Award-Winning Further Mathematics Tutors

Brian

Certified Tutor

9+ years

Brian

PHD, Technology & Information Mgmt (Indef. deferred)
Brian's other Tutor Subjects
AP Statistics
Statistics Graduate Level
Pre-Algebra
Finite Mathematics

I'm a recent graduate of the California Institute of Technology in Economics and Computer Science. I was also accepted at Harvard, Princeton, MIT, and Stanford. I have a broad range of interests spanning science, math, engineering, social science, the humanities, the arts, and athletics (I also play...

Education

University of California-Santa Cruz

PHD, Technology & Information Mgmt (Indef. deferred)

California Institute of Technology

Bachelors in Economics and Computer Science

Test Scores
SAT
1580
Juan

Certified Tutor

6+ years

Juan

Bachelor's
Juan's other Tutor Subjects
AP Calculus BC
AP Calculus AB
Statistics Graduate Level
Pre-Algebra

I am a Senior at the University of Florida studying Industrial Engineering and Statistics. My areas of expertise include Statistics, High School and College level Math, and Government. I emphasize maintaining trust and steady communication with my students to maintain a healthy and comfortable learn...

Education

University

Bachelor's

Test Scores
ACT
31
Wesley

Certified Tutor

Wesley

Bachelor of Science, Biomedical Engineering
Wesley's other Tutor Subjects
AP Calculus AB
IB Mathematics SL
IB Mathematics HL
IB Mathematical Studies SL

I am currently a graduate student at Institute of Optics at the University of Rochester conducting research in Biophysical Chemistry. I recently graduated in June 2017 from the University of California - Irvine with two Bachelor degrees. One was in Biomedical Engineering and the other was in Materia...

Education

University of California-Irvine

Bachelor of Science, Biomedical Engineering

Test Scores
SAT
1570
Richard

Certified Tutor

5+ years

Richard

Master of Arts, Security System Technology
Richard's other Tutor Subjects
Applied Mathematics
Pre-Algebra
Finite Mathematics
College Algebra

I am a graduate of the University of Toronto, Reichman University, and Western Governors University. I have been teaching children, youth, and adults in various academic settings since 2008. My teaching philosophy and tutoring style is that of open discourse and conversation, actively involving stud...

Education

Reichman University

Master of Arts, Security System Technology

Western Governor's University

Bachelor of Science, Computer Science

Timothy

Certified Tutor

9+ years

Timothy

PhD in Mathematics
Timothy's other Tutor Subjects
AP Calculus BC
AP Calculus AB
Pre-Algebra
Finite Mathematics

I am currently a tenured mathematics professor at a local university, and I have been at this institution since 2001. I have an undergraduate degree and a PhD in mathematics. I have been tutoring mathematics in many situations since I was in high school. I have experience teaching and tutoring mathe...

Education

Brown University

PhD in Mathematics

Brown University

Bachelor of Science

University of Michigan-Ann Arbor

Doctor of Philosophy, Mathematics

Terry

Certified Tutor

9+ years

Terry

Juris Doctor, Criminal Justice
Terry's other Tutor Subjects
Applied Mathematics
Pre-Algebra
Finite Mathematics
Competition Math

I am an extremely well qualified tutor with many years of practical experience in subject matter combined with 4 years of teaching students. I believe education is the foundation of success. I enjoy knowing that my students are interested in becoming more knowledgeable and proficient in the selected...

Education

University of Pittsburgh-Pittsburgh Campus

Bachelor of Fine Arts, History

Seton Hall University

Juris Doctor, Criminal Justice

Test Scores
SAT
1470
Jamie

Certified Tutor

5+ years

Jamie

Masters in Education, Special Education
Jamie's other Tutor Subjects
Calculus
Algebra
IB Further Mathematics
Discrete Math

I am very flexible with teaching, ethics and focus on student needs, styles and interests. In languages especially, I can bring students to great leaps in proficiency through low-stress, research-backed methods like immersion in "comprehensible input" and learning through stories and cultural materi...

Education

CUNY Hunter College

Masters in Education, Special Education

Harvard University

Bachelor in Arts

Fernando

Certified Tutor

8+ years

Fernando

Bachelor of Science, Biomedical Engineering
Fernando's other Tutor Subjects
Applied Mathematics
AP Statistics
Statistics Graduate Level
Multivariable Calculus

I am a math and science enthusiast first and foremost. Officially though, I am Harvard Biophysics graduate student. I enjoy problem-solving, discussing science, and sharing my expertise with others.

Education

Johns Hopkins University

Bachelor of Science, Biomedical Engineering

Test Scores
ACT
32
Tessa

Certified Tutor

10+ years

Tessa

Current Undergrad, Mathematics and History
Tessa's other Tutor Subjects
AP Statistics
AP Calculus BC
AP Calculus AB
Pre-Algebra

I'm an undergraduate student at Yale University, with a prospective double major in Mathematics and History. I strive to bring students toward their lightbulb moments not by repeating facts until they're drilled in, but by helping my students understand precisely why the laws of science, the rules o...

Education

Yale University

Current Undergrad, Mathematics and History

Test Scores
Perfect Score
SAT
1590
ACT
36
Rithi

Certified Tutor

9+ years

Rithi

Masters, Biotechnology
Rithi's other Tutor Subjects
AP Statistics
AP Calculus BC
AP Calculus AB
Pre-Algebra

I am now a medical student at Robert Wood Johnson Medical School.

Education

Johns Hopkins University

Masters, Biotechnology

Duke University

Bachelors

Test Scores
SAT
1550

Meet Our Expert Tutors

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

Sabry

Applied Mathematics Tutor • +40 Subjects

I am a graduate of Alexandria University, with a B.Sc. in Nuclear Engineering. In addition, I received a Ph.D. degree from University at Buffalo, Chemical and Biological Engineering Department, in 2015. During that time, I have been working as a teaching assistant and a co-instructor for both undergrad and graduate students, for a broad range of subjects; including: applied mathematics, physics, chemistry, mechanics, and programming. In addition, as a part-time, I have been a private tutor for middle- and high-school students for over 5 years.

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Shahnawaz

12th Grade math Tutor • +68 Subjects

I am a graduate student who will start their PhD from University of Maryland in Applied Mathematics this fall. I completed my MSc in Applied Mathematics from the Swiss Federal Institute of Technology Zurich in Switzerland. I did my Bachelor in Science, majoring in Mathematics, from Lahore University of Management Science in Pakistan.

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Emily

Pre-Algebra Tutor • +27 Subjects

I am currently a student at the University of Chicago going into my sophomore year. I'm working towards a double major in public policy and international relations with a minor in Middle Eastern studies, and I hope to go to law school after I graduate. I've done paid and volunteer tutoring for three years, across a range of ages and subjects. I've earned consistently high scores on my ACT and AP tests, and I'm comfortable teaching advanced math (up to calculus 3), biology and chemistry as well as ACT/SAT test prep. Besides teaching higher level math and science, I'm comfortable and have experience tutoring elementary and middle school students in all subjects.

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Yuanxin

AP Statistics Tutor • +41 Subjects

I am currently a certified math teacher. I went to The Chinese University of Hong Kong for my bachelor's degree in Electrical Engineering, and University of Southern California (USC) for my master's degree in Financial Engineering. I am big fan of Harry Potter and piano-playing. More importantly, I love instilling confidence in my students and helping them succeed!

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Ellyn

Applied Mathematics Tutor • +77 Subjects

I am a mathematics instructor at Tarrant County College and I am interested in helping math and engineering students achieve success!

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Matthew

AP Calculus BC Tutor • +104 Subjects

I am a Senior at Worcester Polytechnic Institute studying Mechanical and Robotics Engineering. I am here to help with any Math, Science, Engineering or other tutoring needs. My main approach is to focus on mastery over work pace. I encourage my students to strive for perfection on the basic material, before moving to the hard stuff. That way you won't only "kinda know" two things, but truly understand the material. Outside of class I enjoy, hiking, playing the saxophone, cooking and building robots.

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Michelle

IB Mathematics SL Tutor • +44 Subjects

I am not someone who is satisfied when a student memorizes steps to solve a problem. I always want the student to understand what he/she is doing and why they are doing. This insight will make them a stronger, faster and better student, particularly in the field of mathematics. This brings the student long term results that could extend far beyond the work done in the tutoring sessions. Mathematics is my love and economics is my passion and because of this I bring incredible enthusiasm for the subject to my work. I bring the beauty of mathematics into my explanations, through theoretical and visual interpretations. In my spare time I like to paint and run. Hobbies: writing, painting, books, music, running, art, travel, reading

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Jonathan

AP Calculus BC Tutor • +57 Subjects

I am currently a graduate student in Chemical Engineering at the University of Delaware. I am working on using magnetic and flow fields to create advanced materials by directing the self-assembly process of nanoparticles . I have tutored students in Chemistry, Physics and Math all throughout undergraduate and graduate work. I truly enjoy breaking material down into its core components that allows the students to understand complicated information. Hobbies: running, reading, cooking, music, writing, art, books

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Nikhil

Applied Mathematics Tutor • +43 Subjects

I am currently a sophomore at New York University studying Mathematics. Math and science have always fascinated me due to their application towards everyday technology. Along with economics, these are my favorite subjects to tutor because they involve concrete answers deeply rooted in logic. As a tutor, I strive to help students better understand complex problems and develop problem-solving skills. This mindset is obviously crucial for tests, but it also helps students develop analytical techniques that can benefit them in innumerable ways. Outside academics, I enjoy reading about current affairs, weight lifting, and of course, watching Netflix.

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Miral

Calculus 2 Tutor • +26 Subjects

I am a current Senior at the University of Michigan studying Financial Mathematics. I have tutored professionally for 2 years as well as independently for 3 years. I am tutoring math as well as basic C++. My teaching philosophy is to teach you how to learn rather than give you the answer. Outside of tutoring I love snowboarding, traveling, photography, and reading.

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Frequently Asked Questions

Students often find complex numbers and their applications particularly challenging, especially when moving beyond basic arithmetic to geometric interpretations and De Moivre's theorem. Matrices and their operations—particularly understanding when multiplication is defined and interpreting results geometrically—trip up many learners. Additionally, proof techniques in Further Mathematics require a conceptual shift from procedural math; students struggle with induction, contradiction, and understanding why a proof is valid beyond just following steps. Tutors help students see how these abstract concepts connect to concrete examples and build the logical reasoning skills needed.

Proofs require moving beyond "plug and solve" to understanding the logical structure of mathematical arguments. A tutor can break down proof techniques—induction, contradiction, direct proof—by working through simple examples first, then gradually building to more complex ones. Rather than memorizing proof templates, you'll learn to recognize which technique fits a problem and why it works. Tutors also help you practice "backwards thinking," starting from what you want to prove and working back to known facts, which is essential for tackling unfamiliar proof problems on exams.

Matrices are abstract because they're often taught as mechanical operations (multiply rows by columns) without connecting to what they represent—transformations, systems of equations, or data organization. A tutor helps by grounding matrix operations in visual and practical contexts: seeing how a matrix transforms a shape on a graph, or how matrix multiplication models real-world processes. Once you understand *why* matrix multiplication works the way it does and *what* the result means, the procedures become intuitive rather than arbitrary rules to memorize.

Complex numbers feel alien because they extend beyond the real number line—but they're much less mysterious when visualized on the complex plane. A tutor helps you see complex numbers as points or vectors, making operations like addition (vector addition) and multiplication (rotation and scaling) geometrically meaningful. This visual foundation makes advanced topics like polar form, De Moivre's theorem, and roots of complex numbers far more intuitive. Practice with real examples—finding cube roots or solving polynomial equations—reinforces why complex numbers matter beyond abstract theory.

In Further Mathematics, showing work is critical because examiners want to see your reasoning, not just your final answer. A tutor teaches you how to structure solutions clearly: stating what you're doing at each step, justifying logical jumps, and explaining your approach. This isn't busywork—it helps *you* catch mistakes and understand whether you're solving the right problem. Tutors also help you recognize when a shortcut is acceptable versus when you need to show every step, and how to present proofs and complex calculations in ways that earn full marks.

Multi-step problems in Further Mathematics often require combining several concepts—for example, using complex numbers to solve a polynomial, then interpreting the roots geometrically. Tutors break these down by teaching you to identify the *structure* of the problem: What concept is being tested? What's given, and what do I need to find? Which techniques apply? By practicing this decomposition strategy, you learn to tackle unfamiliar problems systematically rather than feeling lost. Tutors also help you recognize common problem patterns and which toolkit (matrices, complex numbers, proof techniques) each one requires.

Further Mathematics exams test both technical skill and the ability to apply concepts in unfamiliar contexts—which naturally creates anxiety. Tutors build confidence by ensuring you understand *why* techniques work, not just how to execute them, so you can adapt to novel questions. Regular practice with past papers, combined with detailed feedback on your reasoning and presentation, shows you exactly where you stand. Most importantly, tutors help you see patterns across topics and recognize that many "new" exam questions are actually variations of concepts you've already mastered, transforming panic into recognizable problem-solving.

Beyond deep subject knowledge, an effective Further Mathematics tutor understands the conceptual scaffolding—how complex numbers build on polynomials, how matrices connect to transformations and systems, how proof techniques develop logical thinking. They can diagnose whether you're struggling with procedural steps or the underlying concept, and adjust accordingly. Strong tutors also recognize curriculum variations (different exam boards emphasize topics differently) and can teach flexibly. Crucially, they help you develop mathematical communication skills—the ability to explain your thinking clearly—which is as important as getting the right answer in Further Mathematics.

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