12 Mathematical Topics
From counting to the mathematical universe, naturally grown
🌱 We call them "Seeds" because knowledge grows! Each topic builds on the previous one.
Numbers & Quantity
Counting → Place Value
"If you can count to 10, you can count to 100."
Iteration & Repetition
Iteration → Recursion
"If you can repeat, you can predict."
Grouping & Structure
Grouping → Structure
"If you can group, you can simplify."
Functions & Mapping
Function → Rule
"If you can see a pattern, you can name it."
Equality & Balance
Equation → Balance
"If two things are equal, they stay equal when changed the same way."
Ratio & Scaling
Ratio → Proportion
"If you can compare, you can scale."
Change & Rate
Rate → Derivative
"If you can measure change, you can predict trends."
Accumulation & Area
Sum → Integral
"If you can add up slices, you can find the whole."
Symmetry & Transformation
Reflection → Group
"If it looks the same after a change, that is symmetry."
Proof & Logic
If-Then → Proof
"If A implies B, and B implies C, then A implies C."
Abstraction & Generalization
Specific → General
"If it works for one case, can it work for all?"
Infinity & Limits
Approach → Limit
"If you can get arbitrarily close, you can define the limit."