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Student's Difficulties with Proof

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Author:Keith Weber; Mathematical Association of America
Description: "Proof is a notoriously difficult mathematical concept for students. Empirical studies have shown that many students emerge from proof-oriented courses ... unable to construct anything beyond very trivial proofs. Furthermore, most university students do not know what constitutes a proof ... and cannot determine whether a purported proof is valid." This essay addresses three questions: What is proof and what is its role in mathematics? What difficulties do students have with proofs? How can the concept of proof be taught effectively? With references. From the MAA's Teaching and Learning Research Sampler.

Levels: High School (9-12), College, Research
Languages: English
Resource Types: Articles
Math Ed Topics: Math Ed Research/Reform

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