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Teaching toolkit

Open problem-solving session

A rich problem with a low floor and a high ceiling: everyone can get started, but no one finishes quickly. Strategies matter more than finding the one solution.

20 to 45 minutes Group size: 2-5Medium preparationIndependent workGroup workPair work

How the method works

  1. 1

    Present the problem without giving away the solution; answer questions to check understanding.

  2. 2

    Individual start: note down your own initial access details (prevents free-riding).

  3. 3

    Team phase: Compare approaches, continue working together, and document dead ends.

  4. 4

    Whole-class check-in: share strategies (not solutions!).

  5. 5

    Consolidation: Compare solution methods and identify heuristic strategies.

Material

  • Anchor problem
  • Teaching material ideas
  • Hint cards

You can find free, ready-made worksheets for the work phase in the TeachPie Marketplace , sorted by subject and grade, in three levels.

Common pitfalls in practice

  • A low-floor entry point and scaffolded support must be available

Variants

  • With strategy cards offering step-by-step support (first a prompt, then a more specific tip).
  • Problem of the month: the same task develops over several weeks.
AI is working

In TeachPie, the planning AI suggests Open problem-solving session automatically when it fits the phase, timing, and class, including ready-to-use materials.

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