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Extending the theoretical framework of numeracy to engineers

机译:将算术理论框架扩展到工程师

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Background While students possess procedural knowledge associated with engineering calculations and calculus, they often exhibit a disconnect between the conceptual meaning of mathematics and the problem being solved. This conceptual understanding of what mathematics "says" is defined by the theoretical framework of numeracy. Many engineering numeracy studies have been conducted, but they lacked a unifying theoretical framework, a common lexicon, or formal definitions to connect related numeracy topics. Purpose/Hypothesis This study aims to define numeracy in the context of engineering mathematics and add to the broad theoretical framework of engineering numeracy. Formal skills, terms, and definitions are presented to generate further research. Design/Method A Delphi study was conducted to identify which skills constitute engineering numeracy and define engineering numeracy skills. Also, a content analysis of 5466 articles published between 1970 and 2018 was conducted to validate the findings of the Delphi panel. Results The Delphi study identified 32 skills and subskills, each validated and refined by the content analysis. The content analysis highlighted the need for more engineering numeracy studies. The difficulty and importance of learning different numeracy skills were also established. Conclusions A formal theoretical framework equipped with a specific lexicon and definitions was developed to include the mathematics of engineering as a part of the broader framework of numeracy. It is presented to serve as a reference for future research in engineering numeracy. The findings support the theory suggesting disconnections in students with regard to the conceptual meaning of mathematics and the problems solved.
机译:背景 虽然学生拥有与工程计算和微积分相关的程序知识,但他们经常表现出数学的概念意义与正在解决的问题之间的脱节。这种对数学“说”的概念性理解是由算术的理论框架定义的。已经进行了许多工程计算研究,但它们缺乏统一的理论框架、通用的词典或正式的定义来连接相关的计算主题。目的/假设 本研究旨在在工程数学的背景下定义算术,并增加工程算术的广泛理论框架。提供正式的技能、术语和定义,以产生进一步的研究。设计/方法 进行了德尔菲研究,以确定哪些技能构成工程计算能力并定义工程计算技能。此外,还对 1970 年至 2018 年间发表的 5466 篇文章进行了内容分析,以验证德尔菲小组的发现。结果 德尔菲研究确定了 32 项技能和子技能,每项技能和子技能都通过内容分析得到验证和完善。内容分析突出了对工程算术进行更多研究的必要性。还确定了学习不同计算技能的难度和重要性。结论 开发了一个正式的理论框架,配备了特定的词汇和定义,将工程数学作为更广泛的算术框架的一部分。本文旨在为未来工程算术研究提供参考。研究结果支持了这一理论,该理论表明学生在数学的概念意义和所解决的问题方面存在脱节。

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