What's in a Commutative Group? - Exploring Abstract Properties of Algebra

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What's in a Commutative Group? - Exploring Abstract Proper
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In this activity, students use the definition of a group to examine more closely the abstract properties of closure, inverse, identity, and commutativity.

As these properties are often introduced in younger grades, but have no practical mathematical application, we introduce the basic mathematical structure of a group to examine them.

This activity can be down as an in class activity with less advanced students or as a homework assignment for more advanced students.
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3
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What's in a Commutative Group? - Exploring Abstract Proper
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