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2 years ago in Mathematics Education By Venu M

Are there comparative studies on teaching or curriculum of mathematical proof?

As I develop a curriculum for an introductory proofs course, I want to ground my pedagogical choices in evidence. I'm looking for syntheses or meta-studies that compare the effectiveness of various frameworks, like inquiry-based learning versus more direct instruction, across different student populations.

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By Kriya Answered 1 year ago

The literature I follow shows a vibrant debate. A strong body of comparative research examines "transitions" courses, often pitting experience-based, inquiry-oriented models against more structured, logical-syntax-first approaches. I would recommend looking at meta-analyses that assess outcomes like conceptual understanding versus technical writing skill. The consensus I've seen suggests that a blended approach using exploratory tasks to motivate the need for formal proof, followed by explicit instruction on structure and language tends to be most robust across diverse classrooms, though context is always key.

 

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