๐Ÿงฎ MATH CIRCLE – ACTIVITY 21 ๐ŸŽฒ Game Theory: Nim

 

๐Ÿงฎ MATH CIRCLE – ACTIVITY 21

๐ŸŽฒ Game Theory: Nim

๐Ÿ“… DATE: 26-11-2025

Objective:

To understand winning strategies through mathematical games.

Purpose:

To introduce basic concepts of game theory using the Nim game.

Learning Outcomes:

  • Understand strategy-based decision making.
  • Identify winning and losing positions.
  • Develop logical prediction skills.

Skills Developed:

Strategic thinking, logical reasoning, decision-making.

Procedure:

  1. Students play Nim with counters.
  2. Teacher explains winning strategy (binary/XOR idea simplified).
  3. Students experiment with different configurations.

Teacher’s Observations:

Students became competitive and strategic. They learned from mistakes and improved quickly.

Student’s Reflections:

It was fun to find a trick to always win!
— By ____________

Photo Caption:

๐Ÿ“ธ Students playing Nim game and discovering winning strategies.

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