论文标题
探索学生设施的“像是”入门物理学的推理
Exploring student facility with "goes like'' reasoning in introductory physics
论文作者
论文摘要
在数学教育研究中，已经对协变性推理 - 关于一种数量变化如何与另一个数量变化相关的推理。但是，关于入门物理环境中的协变性推理的研究很少。我们探讨了协变性推理的一个方面：``''推理。 ````像''推理是指物理学家通过简化的功能将两个数量联系起来的方式。例如，物理学家经常说``电场都像是r平方的一个。我们从推理库存项目中提供了证据，这些证据表明许多学生在先前的数学指导中使用工具可以觉得制造，这些工具可以通过直接的教学发展到专家``''''思维。提出进一步的工作，以表征学生意识创作为未来教学发展的基础。
Covariational reasoning -- reasoning about how changes in one quantity relate to changes in another quantity -- has been examined extensively in mathematics education research. Little research has been done, however, on covariational reasoning in introductory physics contexts. We explore one aspect of covariational reasoning: ``goes like'' reasoning. ``Goes like'' reasoning refers to ways physicists relate two quantities through a simplified function. For example, physicists often say that ``the electric field goes like one over r squared.'' While this reasoning mode is used regularly by physicists and physics instructors, how students make sense of and use it remains unclear. We present evidence from reasoning inventory items which indicate that many students are sense making with tools from prior math instruction, that could be developed into expert ``goes like'' thinking with direct instruction. Recommendations for further work in characterizing student sense making as a foundation for future development of instruction are made.
