Two sessions a week. Problems are worked in public, including the false starts, until the argument is one a stranger could check.
A written set between sessions. A teacher reads the argument, not only the final line, and writes back before you meet again.
- 01
Proofs a stranger can check
Claims, order, and the sentence that is doing the work.
- 02
Parity, invariants, and pigeonhole
The first tools that make a problem smaller.
- 03
Counting with a reason
Combinatorics by counting two ways, not by memorizing formulas.
- 04
Divisibility and modular arithmetic
Remainders as a place to stand, not a trick at the end.
- 05
Geometry by transformation
Motion, symmetry, and when a diagram is an argument.
- 06
Inequalities
Bounds, and the case where equality actually holds.
- 07
Choosing what to set down
How to spend a timed paper when you cannot finish all of it.