Manifesto
You will learn math
for real.
Not memorizing a formula only to forget it later. Not watching a video, thinking you got it, and being unable to explain it to a classmate the next day. Learning for real — knowing what each thing does, why it does it, and where it lives in the real world.
It does not matter if you failed Calculus three times in mechanical engineering. It does not matter if you finished a Master's in Finance and still freeze when you see a derivative. It does not matter if you are 12, curious because of a YouTube video, 25, studying again for an exam, or 50, finally wanting to understand what scared you in college. If you are truly interested — this site is yours.
Our first goal: Brazilian High School, optimized
The biggest pain point of the Brazilian education system is in high school. That is where a good student gives up on math, where an average student fails Calculus I the following semester at university, where curiosity turns into trauma. That is why our first goal is to build an optimized math curriculum for Brazilian high school — 12 terms, 120 lessons, calibrated against Japan (Math I/II/III), Germany (Klasse 10/11/12 Leistungskurs) and Singapore (Sec 4 + JC H2 Math) — the three systems that most consistently produce students ready for frontier engineering.
It is not a translation of a foreign textbook. It is a Brazilian curriculum calibrated by the world's best: BNCC nomenclature, examples featuring PETR4, IBOVESPA, ENEM, ITA, IME, Brazilian Math Olympiad. Each lesson carries 40 to 80 exercises in the style of Brazilian mechanical engineering (USP, ITA, Poli) — 25% with full formal solutions, the rest with answers for verification. No softening.
Official documents used as reference
All links below point to official documents published by the respective ministries. You can click and consult them directly:
- 🇯🇵 Japan — MEXT (Ministry of Education): Course of Study for Senior High School (official English, 2018, PDF) — current national curriculum, with detailed Math I/II/III + Math A/B/C.
- 🇩🇪 Germany — KMK (Standing Conference of Ministers): Bildungsstandards im Fach Mathematik für die Allgemeine Hochschulreife (Abitur, 2012, PDF) — national standard for the Abitur (Klasse 11–12 LK), reference used in our calculus and linear algebra lessons.
- 🇸🇬 Singapore — MOE (Ministry of Education): O-Level Mathematics Syllabus (Express/E-Math, 2020, PDF) + H2 Mathematics (JC1/JC2, 2025, PDF) — references for Terms 1–4 and for Calculus in Years 2–3.
- 🇧🇷 Brazil — MEC/CONSED (BNCC): Base Nacional Comum Curricular — High School (PDF) — baseline for comparison and calibration for Brazilian audiences.
Compared workloads: JP ~140h/year, DE Klasse 10 LK ~120h/year, SG E-Math ~135h/year. Our program: 12 terms × ~30h ≈ 360h total (3 years), in line with the average of the three systems.
How the site grows from here
After high school is well served, the rest comes. In order:
- Today (in progress) · Optimized High School · 12 terms × 10 lessons. Full math: calculus, algebra, analytic geometry, trigonometry, vectors, matrices, combinatorics, probability, statistics, introductory linear algebra.
- Next step (near future) · High school Physics · same methodology, same 6+1 doors. Kinematics, dynamics, electromagnetism, waves, optics, thermodynamics — connecting math to concrete application.
- Long-term vision · Engineering College · courses from mechanical, electrical, civil, and naval engineering. The natural continuation for those who completed the base. Calculus I–IV, ODEs, Mechanics of Solids, Signals and Systems, Applied Thermodynamics — without the silence so many feel in class.
In addition, we maintain a Quantitative Finance section — Black-Scholes in the spotlight — as a living demonstration that the math we are going to teach is the same math that runs derivatives desks in São Paulo, Tokyo and London. Not detached theory. The world's yardstick.
How each lesson is built
Here math does not start with the formula. It starts with a problem nobody can solve easily — and only then the tool shows up, because you missed it first. Bisection does not open with ε and tolerance. It opens with the question "how do you find a root when you cannot isolate x?". Black-Scholes does not open with the PDE. It opens with "how do you know what an option that has not expired yet is worth?".
Every equation here has 6 doors. One is the full formal derivation, with all the rigor a federal-university professor demands. The other five are versions for a 5-year-old, a 10-year-old, a 15-year-old, a 25-year-old student, a 40-year-old professional. All correct. All connected. You pick the door — and switch doors whenever you want. Every central equation also has a "Read aloud" button in PT-BR — accessibility built in, not bolted on.
Here you predict before you see. You miss, you get corrected, you try again, and then you understand. The way you learn a language by living in Spain, not in a classroom. The way you learn to code by breaking code, not by reading a manual. Correction comes in short loops, and reward comes after effort — never before. No badges, no points, no obfuscation.
No paywall here. No login. No 7-day trial. No "subscribe to premium to see the steps". Open source forever, free forever, open code on GitHub, open content for any teacher to remix, translate, adapt.
We are competing with silence. The silence between knowing the formula and understanding what it says about the world. That silence is what makes a good high-school student fail Calculus in college. It is what makes a Finance master's holder unable to derive Black-Scholes despite having earned an A in the course.
Math is not hard. It is just badly told.
We tell it right.
You will learn math like crazy. That is the deal.