Student Understanding Of The Physics And Mathematics Of Process Variables In P-V Diagrams

Student Understanding Of The Physics And Mathematics Of Process Variables In P-V Diagrams
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学生对 P-V 图中过程变量的物理和数学的理解

DOI:
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发表时间:
2007
期刊:
影响因子:
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通讯作者:
D. B. Mountcastle
D. B. Mountcastle
中科院分区:
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文献类型:
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作者:
Evan B. Pollock;John R. Thompson;D. B. Mountcastle

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在一门高级热物理课程中,学生被要求比较与热力学第一定律相关的量,以及在没有任何物理背景的情况下类似的数学问题。我们报告了学生对物理问题的反应的比较,这些物理问题涉及在P - V图上解释理想气体过程,以及类似的关于各种积分的符号和大小之间比较的数学定性问题。学生在单独问题上的表现与在配对问题上的表现相结合,表明他们对物理和数学的理解是孤立的。有些困难是通过指导解决的。
Students in an upper‐level thermal physics course were asked to compare quantities related to the First Law of Thermodynamics along with similar mathematical questions devoid of all physical context. We report on a comparison of student responses to physics questions involving interpretation of ideal gas processes on P‐V diagrams and to analogous mathematical qualitative questions about the signs of and comparisons between the magnitudes of various integrals. Student performance on individual questions combined with performance on the paired questions shows evidence of isolated understanding of physics and mathematics. Some difficulties are addressed by instruction.