Part of Phase 2: First Year

Education splits into the subject matter — arithmetic, number systems, geometry, writing — and the pedagogy that actually teaches it. One exact-duplicate label, two “Tally Marks,” is fixed below. Mathematics requires only writing and record keeping as its prerequisite, and it in turn unlocks structural engineering, precision measurement, and electrical theory.

Mathematics, Arithmetic, Addition and Subtraction, Multiplication, Division, Times Tables, Common Fractions, Fractions and Ratios, Percentages, and Ratios and Proportion cover arithmetic. Counting with a tally system needs nothing more than a stick and a patch of dirt, crossing every fifth mark, to carry a community toward algebra, and the Russian peasant method solves 23 times 17 by repeated halving and doubling alone, no memorized tables required.

Number Systems, Numeral Systems, Positional Notation, The Zero, Other Bases, and the two Tally Marks articles cover how numbers get written down at all. Without a zero as placeholder, 307 and 37 are indistinguishable, which is why the Hindu-Arabic positional system beats every additive alternative, and the Lebombo bone, notched roughly 43,000 years ago, shows tally marks predate writing by tens of thousands of years.

Geometry, Angles, Angle Measurement, Area Calculation, Irregular Areas, Volume Calculation, Diagonal Calculation, 3-4-5 Triangle, Pythagorean Theorem, Triangle Principle, Trig Ratios, Trigonometry Basics, Height Finding, and Practical Applications cover measuring the physical world. Cord, a few stakes and a straightedge are enough to lay out a square foundation, and a single measured baseline and two angles are enough to find a distance across a river you never have to cross, using only the law of sines.

Writing & Record Keeping, Alphabet Design, Phonetic Mapping, Pictographic Systems, Proto-Writing, Writing Instruments, Writing Surfaces, Parchment Making, Plant Fibers, Clay Tablets, Scroll Making, Dipping Technique, Record Keeping, and Redundant Copies cover writing itself, start to finish. Carbon ink stays legible after 4,000 years while berry ink fades within months, and fired clay tablets survive fire, flood, and burial for millennia — Mesopotamian archives are still legible 4,000 years later. A text that exists in only one copy is already half-lost, the lesson behind both Alexandria’s library and Baghdad’s House of Wisdom.

Education & Knowledge Preservation, Knowledge Preservation, Oral Tradition, and Apprenticeship cover keeping knowledge alive across generations. Roman concrete, Greek fire, and Damascus steel all prove the same point: a technique known to only its last holder is one death away from gone for good, and Aboriginal Australian songlines carried accurate geography for over 50,000 years.

Core Subjects, Curriculum Design, Teaching Methods, Lecture and Discussion, Hands-On Learning, Outdoor Learning, Skill Demonstrations, Oral Examinations, Assessment Systems, Age Progression, Classroom Setup, Learning Spaces, Practical Skills, Calendar Systems, and Census Methods cover running an actual school. People retain roughly 10% of what they read but around 75% of what they actually practice, and a student who passes a water purification lesson but still can’t make water safe to drink is a community health risk, not a grading problem.

Arithmetic

Counting, the four operations, and the fractions and ratios everyday measurement needs.

Number Systems

How a number actually gets written down, from a notch in bone to a positional zero.

Geometry and Trigonometry

Measuring distance, angle, and area in the field, with no modern instruments.

Writing Systems

Designing an alphabet, making the ink and surface, and recording what matters.

Knowledge Preservation

Keeping a skill or a fact alive longer than the one person who currently holds it.

Teaching Methods and Pedagogy

Running an actual school: curriculum, classroom, method, and how learning actually gets checked.

64 items under this folder.