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首页> 外文期刊>Journal of Mathematical Behavior >Reinforcing key combinatorial ideas in a computational setting: A case of encoding outcomes in computer programming
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Reinforcing key combinatorial ideas in a computational setting: A case of encoding outcomes in computer programming

机译：在计算环境中加强关键组合思想：一种在计算机编程中编码结果的情况

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摘要

Counting problems are difficult for students to solve, and there is a perennial need to investigate ways to help students solve counting problems successfully. One promising avenue for students' successful counting is for them to think judiciously about how they encode outcomes - that is, how they symbolize and represent the outcomes they are trying to count. We provide a detailed case study of two students as they encoded outcomes in their work on several related counting problems within a computational setting. We highlight the role that a computational environment may have played in this encoding activity. We illustrate ways in which by-hand work and computer programming worked together to facilitate the students' successful encoding activity. This case demonstrates ways in which the activity of computation seemed to interact with byhand work to facilitate sophisticated encoding of outcomes.
机译：计数问题对学生来说是很难解决的，因此有必要研究如何帮助学生成功地解决计数问题。学生成功计数的一个很有希望的途径是，他们明智地思考如何编码结果——也就是说，他们如何象征和代表他们试图计数的结果。我们为两名学生提供了一个详细的案例研究，他们在计算环境中对几个相关计数问题的工作结果进行编码。我们强调了计算环境在这种编码活动中可能扮演的角色。我们举例说明了如何通过手工操作和计算机编程来促进学生成功的编码活动。这个案例展示了计算活动似乎与手工工作相互作用的方式，以促进结果的复杂编码。

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