Proof formats; undefined term, postulate, theorem
- Two arguments for one claim — 3 tasks
- Reading a chart, and what it shows — 3 tasks
- One argument, three ways of writing it — 3 tasks
- The four words, and what this course rests on — 6 tasks
- Going Deeper — 3 tasks
- Practice — 23 tasks
- Summary — 2 tasks
- Cool-down — 6 tasks
Classroom activities
Things a class does rather than writes on. Each one is a finished PDF: print it, cut it up if it says so, and hand it round.
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Proof Formats: Is There a Reason? — Cut & Glue Sort 25 minutes · 5 sheets
Twelve proof steps in two columns, charts and paragraphs, sorted by one question: is there a reason next to the step, and does it allow it?
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Proof Order: Which Step Must Come First? — Maze 10–15 minutes · 4 sheets
Eight boxes, each two steps of one proof. The step that the other one uses must come first; putting the consequence above its fact leads to a box that sends the student back.
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Undefined Term, Definition, Postulate or Theorem? — Mystery Picture 20–25 minutes · 4 sheets
Twenty-five statements from the course, each with one of the four words. A right word is filled, a wrong one left white, and a picture appears.