Imagine an infinitely-large chess board with an infinite number of pieces. Pupils learn about infinite chess and how it is a determined game, in that there is always a winning strategy. The video first applies Zermelo's Theorem to show that finite chess is a determined game and then moves on to investigate infinite chess.

Concepts

chess, infinity, math strategies, problem solving strategies, tree diagrams, ordinal numbers

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Additional Tags

math

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Instructional Ideas

• Play the marble pile game with the class to analyze strategies
• Have groups research strategies for some of the other games mentioned in the video

Classroom Considerations

• Individuals need to be familiar with ordinal numbers, such as from the video Kill the Mathematical Hydra in the same series
• It is helpful if scholars have a basic understanding of chess pieces

• This video is hosted on YouTube

Pros

• Provides links in the description to other relevant sites
• Diagram helps with comprehension

Cons

• None