Tutorial: Mathematical Investigations
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Mathematical Investigations using Group Explorer

If you have browsed this web site enough, you know that those of us on the Group Explorer team are confident of the power that visualization has for improving group theory pedagogy.  Specifically, we're confident in Group Explorer's power to help students learn.

Now it's time for us to back up our claims by offering specific examples of how Group Explorer can help students investigate group theory.  Here are links to pages demonstrating ways students can use Group Explorer to aid or enhance their learning.

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Building visual intuition for a concept: Abelian groups and the Fundamental Theorem

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Gathering information for making conjectures: Cosets and Lagrange's theorem

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Illustrating theorems: A normal subgroup can be used to form a quotient group

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Illustrating theorems: Products of cyclic groups of relatively prime orders

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Solving problems: Solutions to a few Group Explorer Homework Assignments (to come)

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The list of contributors to the Group Explorer project can be found on the Acknowledgements page.

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For more information about Group Explorer, or to give feedback, contact Nathan Carter at: ncarter@bentley.edu.