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David A. Yopp

When students learn strategies for identifying key ideas in inductive arguments, these ideas can be extended to provide more formal proofs.

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David A. Yopp

Track students' understanding of proportional reasoning by combining transformational geometry, similar-triangle reasoning, and linear relationships.

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David A. Yopp

Asked to “fix” a false conjecture, students combine their reasoning and observations about absolute value inequalities, signed numbers, and distance to write true mathematical statements.

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David A. Yopp and Jacob L. Ellsworth

Learn why generalizing is important but that overgeneralizing can be problematic.