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Investigating and Improving Undergraduate Proof Comprehension

机译:调查和提高本科生的证明理解力

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摘要

Undergraduate mathematics students see a lot of written proofs. But how much do they learn from them? Perhaps not as much as we would like; every professor knows that students struggle to make sense of the proofs presented in lectures and textbooks. Of course, written proofs are only one resource for learning; students also attend lectures and work independently or with support on problems. But because mathematics majors are expected to learn much of their mathemat- ics by studying proofs, it is important that we understand how to support them in reading and understanding mathematical arguments.
机译:本科数学专业的学生会看到很多书面证明。但是他们从中学到了多少呢?也许没有我们想要的那么多;每位教授都知道,学生很难理解讲课和教科书中提供的证明。当然,书面证明只是学习的一种资源;学生还参加讲座并独立工作或在问题上给予支持。但是,由于期望数学专业的学生通过学习证明来学习许多数学知识,因此,重要的是我们了解如何支持他们阅读和理解数学论证。

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