Pathway / Mathematics
Mathematics from quantity to uncertainty
Build quantities into functions, vectors, change, and evidence—then carry those structures into code and physical models.
- Route
- 5 connected concepts
- Access
- Open · account optional
- Evidence
- Local states, never a score
- Release state
- 3 field trials · 12 sketches overall
Next useful action
Quantities, ratios, and scale
Continue with the first unseen idea on this route.
- 01
Treat numbers as measured relationships rather than marks on a page.
- Distinguish a bare number from a quantity and identify the dimension and unit carried by a quantity.
- Use a unit rate or scale factor to move between representations without reversing the relationship.
- Test a calculation for dimensional consistency and repair a mismatched conversion.
- 02
Functions as dependence
UnseenRead a function as a dependable relationship between changing quantities.
- Objectives and precise evidence coverage are pending schema-v2 conversion.
- 03
Separate a geometric direction from the coordinates used to describe it.
- Objectives and precise evidence coverage are pending schema-v2 conversion.
- 04
Change and accumulation
UnseenSee derivatives and integrals as two views of how local change builds a whole.
- Objectives and precise evidence coverage are pending schema-v2 conversion.
- 05
Probability as evidence
UnseenUse distributions to reason about uncertainty without pretending it disappears.
- Objectives and precise evidence coverage are pending schema-v2 conversion.