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    • girl fighting against AI with taekwondo

    • Taekwondo – Discrete Mathematics

      AI is getting faster — so your teen needs a skill that’s sharper than speed.
      Taekwondo wins with precision, timing, and clean combinations. Discrete Math trains the same thing: exact thinking in clear steps.

      ✅ Start here (free)

      Start at Lesson 1 and train forward. Each lesson is split into short micro‑presentations (one idea per screen) so your teen can keep momentum without overwhelm.

      1. Begin Lesson 1: The Discrete Mindset
      2. Train the slides (short, focused)
      3. (Paid members) Do the drill quiz and record your score
      4. Pass belt exams to rank up

      Goal: build “proof‑level thinking” — so AI can’t trick you with confident nonsense.

      👨‍👩‍👧 For parents: why this course matters

      AI can generate answers at scale — including wrong ones that look right. Discrete Mathematics trains verification thinking: proof, counting accuracy, number structure, modular reasoning, and graph/network logic.

      These are core foundations behind computer science and high‑level problem solving — and they create a teen who can check correctness instead of blindly trusting output.

      Disclaimer: This course builds skills and discipline. It does not guarantee jobs, admissions, or outcomes.

      🔥 For teens: your mission

      Train your brain like Taekwondo: clean technique under pressure. Discrete Math teaches you to count accurately, prove what’s true, model networks, and recognize which problems are easy vs. explosively hard.

      • Precision beats speed: one correct proof beats 100 confident guesses
      • Combos: counting → proof → modular → graphs → complexity
      • Belts prove you’re leveling up
      • Best score counts — retry and improve without fear

      Teen challenge: reach Yellow Belt (binomial + repetition counting). If you like this dojo, send it to a friend who wants to win too.

      🧠 What your teen will learn
      • Accurate counting: permutations, combinations, binomial coefficients
      • Casework: splitting problems into clean, correct cases
      • Inclusion–exclusion to handle overlaps correctly
      • Proof skills (especially induction) to verify correctness
      • Recurrences and discrete sequences
      • Divisibility, gcd, prime factorization, modular arithmetic
      • Graph theory foundations: paths, trees, planarity, coloring, shortest paths
      • Complexity awareness: which problems scale and which explode
      🥋 How training works (simple + structured)
      • Short training slides (micro‑presentations; one idea per screen)
      • Auto‑graded drills (quick quizzes with retries)
      • Belt exams to prove progress
      • Moodle tracking: scores, completion, progress history
      • No technical Q&A required — the system is designed for independent progress

      This is not “watch and forget.” This is training: short daily practice → measurable proof.

      🥋 Belt map

      Lesson ranges refer to the course training forms.

      • White Belt (Lessons 1–3) — Stance & Counting Guard
        Discrete mindset, counting fundamentals, and clean casework setup.
      • Yellow Belt (Lessons 4–6) — Combination Strikes
        Binomial coefficients/patterns, binomial theorem, and repetition counting (multisets).
      • Orange Belt (Lessons 7–9) — Proof Footwork
        Inclusion–exclusion, proof tools (especially induction), and recurrences/sequences.
      • Green Belt (Lessons 10–12) — Number Defense
        Divisibility & gcd, number structure, pigeonhole and parity tactics.
      • Blue Belt (Lessons 13–15) — Modular Sparring
        Modular arithmetic basics, modular power moves, and primes/testing ideas.
      • Brown Belt (Lessons 16–19) — Network Combat
        Crypto foundations, graph theory basics, walking through graphs, matching/stability.
      • Black Belt (Lessons 20–22) — Master Form: Complexity Control
        Trees/connectivity, planarity/coloring, shortest paths/complexity awareness.
        Black Belt Test: comprehensive final exam.

      Belts are proof. Parents get visibility. Teens get momentum.

      🏷️ Free vs Dojo Membership (paid)

      Free (Guest Training)

      • Access the free lesson content (training slides / micro‑presentations)
      • See the curriculum and belt map
      • Preview the dojo structure

      Dojo Membership (Paid)

      • Full access to all drills, quizzes, and belt tests
      • Belt tracking and certificates
      • Parent progress visibility (activity + scores inside Moodle)

      Founders / Inauguration Price: $5 per course for 30 days (about the price of a coffee). This is the launch price while the dojo is expanding — as more belts, exams, and courses are added, the price will rise.

      📚 Curriculum / Training Forms (22 lessons)
      1. The Discrete Mindset — why step‑by‑step reasoning fights confusion.
      2. Counting Fundamentals — factorials, permutations, combinations.
      3. Casework Combos — splitting problems into clean cases.
      4. Binomial Coefficients & Patterns — structure behind “n choose k.”
      5. The Binomial Theorem — interpret expansions using discrete structure.
      6. Multisets & Repeat‑Allowed Counting — count selections with repetition.
      7. Inclusion–Exclusion — handle overlaps correctly.
      8. Proof Tools — induction and other proof strategies.
      9. Recurrences & Sequences — generating patterns with rules.
      10. Divisibility & gcd — the structure behind “divides.”
      11. How Integers Are Built — binary decomposition and prime factorization.
      12. Pigeonhole & Parity — prove must‑exist and can’t‑happen results.
      13. Modular Arithmetic — reliable remainder‑based reasoning.
      14. Modular Power Moves — fast exponent strategies and combined remainders.
      15. Primes & Testing Ideas — modular theorems and prime reasoning.
      16. Cryptography Concepts — public info, private control (foundations).
      17. Graph Theory Basics — the language of networks.
      18. Walking Through Graphs — paths, adjacency thinking, random‑walk intuition.
      19. Matching & Stability — pairing and assignment logic.
      20. Trees & Connectivity — spanning structures and minimal connections.
      21. Planarity & Coloring — clean drawings and constraint modeling.
      22. Shortest Paths & Complexity — solvable vs. explosive problems.

      Disclaimer: This course provides education and training and cannot guarantee a specific job outcome.

      ✅ Belt Test Rules (read before testing)

      Belts are proof of skill. Your teen earns belts through auto‑graded drills and belt tests.

      Passing score: 80%
      Retries: Unlimited
      Score policy: Best score counts (highest score recorded; retakes cannot lower the record)

      Eligibility: completing the required drills unlocks the belt test.

      Optional anti‑spam cooldown (recommended): add a cooldown after failed attempts to reduce rapid guessing and encourage real review.

      Integrity Rules — “You vs AI”

      • No AI tools during belt tests. No chatbots, no answer generators, no “explain this problem” tools.
      • No outside help during belt tests (friends, tutors, siblings).
      • Parent presence encouraged during belt tests (nearby / same room).

      Notes Policy

      • Drills: open‑notes allowed.
      • Belt tests: closed‑notes or one‑page notes (dojo admin choice).

      Disclaimer: Belts and certificates verify training progress and do not guarantee job outcomes.

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