使用认股权证作为认知框架的窗口
Using Warrants As a Window to Epistemic Framing
摘要:
数学在物理学中可以发挥许多作用。它可以提供计算系统,反映物理思想,方便地编码规则,等等。因此,物理系学生在解决物理问题时有许多不同的数学选择。我们提出了一个简短的例子,从解决问题的高水平的物理学生的工作,并用它来说明认知框架的过程:框架,因为这些学生都集中在他们的总的数学知识的子集,认知,因为他们的子集的选择涉及到他们所看到的(在那个特定的时间)作为数学知识的性质在玩。我们说明了如何寻找学生使用的保证,他们认为他们的证据支持他们的数学主张,往往是不言而喻的原因,作为一个窗口,他们的认知框架。这些论据为他们的认知框架提供了一个强有力的、简洁的证据。
英文摘要:
Mathematics can serve many functions in physics. It can provide a computational system, reflect a physical idea, conveniently encode a rule, and so forth. A physics student thus has many different options for using mathematics in his physics problem solving. We present a short example from the problem solving work of upper level physics students and use it to illustrate the epistemic framing process: framing because these students are focusing on a subset of their total math knowledge, epistemic because their choice of subset relates to what they see (at that particular time) as the nature of the math knowledge in play. We illustrate how looking for the warrants students use, the often unspoken reasons they think their evidence supports their mathematical claims, serves as a window to their epistemic framing. These warrants provide a powerful, concise piece of evidence of their epistemic framing.
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