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  • 标题:Student understanding of Taylor series expansions in statistical mechanics
  • 本地全文:下载
  • 作者:Trevor I. Smith ; John R. Thompson ; Donald B. Mountcastle
  • 期刊名称:Physical Review ST Physics Education Research
  • 电子版ISSN:1554-9178
  • 出版年度:2013
  • 卷号:9
  • 期号:2
  • 页码:1-16
  • DOI:10.1103/PhysRevSTPER.9.020110
  • 出版社:American Physical Society
  • 摘要:One goal of physics instruction is to have students learn to make physical meaning of specific mathematical expressions, concepts, and procedures in different physical settings. As part of research investigating student learning in statistical physics, we are developing curriculum materials that guide students through a derivation of the Boltzmann factor using a Taylor series expansion of entropy. Using results from written surveys, classroom observations, and both individual think-aloud and teaching interviews, we present evidence that many students can recognize and interpret series expansions, but they often lack fluency in creating and using a Taylor series appropriately, despite previous exposures in both calculus and physics courses.
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