Some problems are worth standing up for. On exploration days you work in random groups of three at the vertical whiteboards, on a problem nobody has taught you to solve yet — that is the point, not an oversight. The technique arrives after the thinking, and in this course the conjectures you raise at the boards are expected to survive cross-examination. Expect to be stuck; being stuck is the work, as Why Struggle Is the Point explains.
| Exploration | The question |
|---|---|
| How Fast Right Now? | How fast, at exactly this instant? |
| Zooming In | Does every curve straighten under magnification? |
| The Slope Detective | What can reveal about a missing ? |
| The Box Problem | Four cuts, one fold — how big can a box get? |
| The Treasure Walk | Can shuffled instructions still find treasure? |
| Where Planes Meet | Three planes in space — what can they share? |
Hints nudge; they never march. Ask, and you get a question back — see Getting Unstuck. No solutions appear on these pages, ever: the class builds them together, per Our Classroom Norms.