The big mathematical ideas that keep showing up.
Mathematics is not a collection of disconnected skills. They all build on one another, and ideas learned in first grade connect to those introduced in calculus.
Current working throughlines:
- Quantity and magnitude
- Unitizing
- Equivalence
- Structure
- Relationships between quantities
- Representation
- Scale & Proportionality
- Change and covariation
- Generalization
- Invariance
- Making and interpreting predictions
Keep in mind that this framework is evolving as more research is done and continues to be tested.
