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arXiv 1911.01552physics.ed-ph
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物理数量素养推理量表项目的概念整合分析

A Conceptual Blend Analysis of Physics Quantitative Literacy Reasoning Inventory Items

Suzanne White Brahmia, Alexis Olsho, Andrew Boudreaux, Trevor Smith, Charlotte Zimmerman

摘要:

跨物理背景的数学推理灵活性是入门物理学的理想学习成果,数学世界和物理世界相遇。物理定量素养(PQL)是一组相互关联的技能和思维习惯,支持对物理世界的定量推理。我们目前正在改进和验证的物理定量素养清单(PIQL)评估学生的比例推理,协变推理和物理环境中的符号量推理。在本文中,我们应用概念整合理论分析两个范例PIQL项目,以展示我们如何使用这一理论来帮助开发一种工具,代表了混合推理的特点,在物理专业知识。一个概念整合理论分析允许评估的层次部分正确的推理模式,从而保持潜在的映射出现的数学推理的灵活性,在整个介绍物理序列。

英文摘要:

Mathematical reasoning flexibility across physics contexts is a desirable learning outcome of introductory physics, where the math world and physical world meet. Physics Quantitative Literacy (PQL) is a set of interconnected skills and habits of mind that support quantitative reasoning about the physical world. The Physics Inventory of Quantitative Literacy (PIQL), which we are currently refining and validating, assesses students proportional reasoning, covariational reasoning, and reasoning with signed quantities in physics contexts. In this paper, we apply a Conceptual Blending Theory analysis of two exemplar PIQL items to demonstrate how we are using this theory to help develop an instrument that represents the kind of blended reasoning that characterizes expertise in physics. A Conceptual Blending Theory analysis allows for assessment of hierarchical partially correct reasoning patterns, and thereby holds potential to map the emergence of mathematical reasoning flexibility throughout the introductory physics sequence.

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