Science & Math Library
Mathematics Learning Hub
From foundational arithmetic through advanced problem solving — a structured roadmap for school, AP, SAT, ACT, NY Regents, and college mathematics.
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Foundations
3 topics in Foundations
Numbers & Arithmetic
Number sense, operations, fractions, decimals, and percentages — the bedrock of every later topic.
Algebra 1
Linear equations, inequalities, functions, and systems.
Geometry
Logical reasoning through shape, proof, congruence, similarity, and measurement.
Core High School
3 topics in Core High School
Algebra 2
Polynomials, exponentials, logarithms, sequences, and complex numbers.
Trigonometry
Triangles, the unit circle, identities, and periodic behavior.
Precalculus
Functions, analytic geometry, and the bridge to calculus.
Calculus & Beyond
5 topics in Calculus & Beyond
Calculus I
Limits, derivatives, and the geometry of change.
Calculus II
Integration techniques, series, and applications.
Calculus III
Multivariable calculus, vectors, and surfaces in three dimensions.
Differential Equations
ODEs, modeling, and the calculus of dynamic systems.
Linear Algebra
Vectors, matrices, transformations, and vector spaces.
Probability & Statistics
2 topics in Probability & Statistics
Discrete & Reasoning
3 topics in Discrete & Reasoning
Discrete Mathematics
Logic, sets, combinatorics, graph theory, and the mathematics of computing.
Mathematical Proofs
Direct, contrapositive, contradiction, and induction — how mathematicians argue.
Problem Solving Strategies
Heuristics, patterns, and habits of mind for hard problems.
Standardized Tests
2 topics in Standardized Tests
AP Mathematics
3 topics in AP Mathematics
AP Calculus AB
Full AP Calculus AB curriculum and exam preparation.
AP Calculus BC
Full AP Calculus BC curriculum including series and parametric calculus.
AP Statistics
Full AP Statistics curriculum and exam preparation.
NY Regents
3 topics in NY Regents
NY Regents Algebra 1
Complete preparation for the New York State Regents Algebra 1 examination.
NY Regents Geometry
Complete preparation for the New York State Regents Geometry examination.
NY Regents Algebra 2
Complete preparation for the New York State Regents Algebra 2 examination.
Why students struggle — and how I teach differently
Memorizing procedures without understanding the underlying ideas.
How I teach it: Lessons start from the concept, then earn the procedure.
Skipping algebra fundamentals, then struggling in every later course.
How I teach it: We diagnose foundation gaps before moving forward.
Believing they are 'not a math person.'
How I teach it: Confidence is rebuilt with carefully sequenced wins on the whiteboard.
Treating word problems as a separate skill.
How I teach it: We model translating language into mathematics from the first lesson.
Where Mathematics actually shows up
Mathematics is the language quantitative work is conducted in. Students who develop genuine fluency open doors that stay closed to everyone else.
Engineering
Calculus, linear algebra, and differential equations are the working vocabulary of every engineering discipline.
Medicine & Pre-Med
Statistics and quantitative reasoning power evidence-based medicine, MCAT performance, and clinical research.
Computer Science
Discrete math, probability, and linear algebra underlie algorithms, machine learning, and graphics.
Finance & Actuarial Science
Probability, calculus, and statistics drive pricing, risk, and quantitative finance.
Research
Mathematical literacy is what separates students who can read a paper from students who cannot.
Everyday Decisions
From mortgages to medication doses, sound quantitative reasoning compounds across a lifetime.
Related subjects and exams
Related STEM Subjects
Related Standardized Tests
Questions students and parents ask most
Where should my student start?+
We begin with a short diagnostic conversation, then place the student at the right point in the curriculum — never a grade ahead of their foundation.
How long does it take to fix a weak foundation?+
Most students see real change within 8–12 sessions if they show up prepared.
Do you teach above grade level?+
Yes — including AP Calculus BC, AP Statistics, linear algebra, and discrete mathematics for motivated students.
How are lessons delivered?+
One-on-one online, on a live full-size whiteboard, so students see every step the way they would in a real classroom.
How is this different from a tutoring center?+
Centers rotate tutors and rely on worksheets. Here, every lesson is taught by the instructor and built around the individual student.
Can you support school homework?+
Yes — homework support, exam preparation, and long-term mentoring run in parallel.
Do you prepare students for SAT and ACT math?+
Yes, with dedicated SAT and ACT math hubs that link from here.
Will the student keep notes?+
Whiteboard work is the notes — students follow along, then practice from the same board.
How do parents track progress?+
Parents receive periodic check-ins and can ask for a progress summary at any time.
Can you tutor competition mathematics?+
We can introduce problem-solving, proofs, and selected olympiad-style topics for motivated students.
Is there a minimum commitment?+
No. Students continue as long as the work is useful.
How do we start?+
Book a free consultation — we'll talk through the student's situation before any lesson is scheduled.
Learning resources for this hub
Reserved spaces for instructor-written material. Available upon request while we publish each one.
Formula Sheets
Reference sheets for the most important formulas and identities.
Study Guides
Topic-by-topic outlines aligned with the curriculum.
Whiteboard Lessons
Captured walk-throughs of the most important explanations.
Practice Problems
Sets of problems graded by difficulty, with worked solutions.
Recommended Books
Books the instructor genuinely recommends — not affiliate filler.
External Resources
A curated list of high-quality free resources elsewhere on the web.
Video Lessons
Short instructor-led videos for the highest-yield topics.
Downloads
Printable handouts, problem sets, and reference cards.
Why every lesson is taught live on a real whiteboard
Every lesson is delivered live on a professional, double-sided mobile classroom whiteboard. Students see equations, diagrams, and reasoning unfold step by step — exactly the way a strong teacher would explain them in a real classroom.
The whiteboard is the difference between a tutoring session and a lesson. Slides and screen-shares show finished work; the whiteboard shows the thinking. Students learn how to set up a problem, where to commit to a method, and how to check themselves — habits that transfer to every exam and every classroom they walk into next.
- Live, hand-drawn explanations the student can follow in real time
- Diagrams, graphs, and arrow-pushing for chemistry and physics
- Step-by-step problem set-up so students see the reasoning, not just the answer
- Annotated mistakes corrected on the board, exactly the way classroom teachers do
- Repeatable structure that students can copy on their own paper
What parents can expect
One-on-one instruction
Every lesson is taught by the instructor — never handed off.
Customized pacing
Lessons move at the speed the student needs, not a fixed schedule.
Homework support
School homework and exam preparation run in parallel.
Exam preparation
Targeted preparation for SAT, ACT, AP, Regents, MCAT, TEAS, and HESI A2.
Long-term mentoring
Many students continue for multiple years across subjects.
Progress tracking
Parents receive check-ins and can request progress summaries any time.
Continue across the platform
Begin
Start with a focused strategy conversation.
The strategy session is the first step of working together — a focused academic planning and diagnostic conversation used to understand the student before any ongoing academic support begins.
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