Evaluating Proof Blocks Problems as Exam Questions

Seth Poulsen, Mahesh Viswanathan, Geoffrey L. Herman, Matthew West
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引用次数: 9

Abstract

Proof Blocks is a novel software tool which enables students to write mathematical proofs by dragging and dropping prewritten lines into the correct order, rather than writing a proof completely from scratch. We used Proof Blocks problems as exam questions for a discrete mathematics course with hundreds of students, allowing us to collect thousands of student responses to Proof Blocks problems. Using this data, we provide statistical evidence that Proof Blocks are easier than written proofs, which are typically very difficult. We also show that Proof Blocks problems provide about as much information about student knowledge as written proofs. Survey results show that students believe that the Proof Blocks user interface is easy to use, and that the questions accurately represent their ability to write proofs.
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评估证明块问题作为考试问题
Proof Blocks是一种新颖的软件工具,它使学生能够通过拖放预先写好的行来写出数学证明,而不是完全从头开始写证明。我们使用证明块问题作为离散数学课程的考试问题,有数百名学生,允许我们收集数千名学生对证明块问题的回答。使用这些数据,我们提供了统计证据,证明块比通常非常困难的书面证明更容易。我们还表明,证明块问题提供的关于学生知识的信息与书面证明一样多。调查结果显示,学生们认为Proof Blocks用户界面易于使用,并且这些问题准确地代表了他们编写证明的能力。
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