Linear algebra in engineering: a study of specialized knowledge of Chilean and Brazilian teachers

IF 1.1 Q3 EDUCATION & EDUCATIONAL RESEARCH

Teaching Mathematics and Its Applications Pub Date : 2023-10-04 DOI:10.1093/teamat/hrad007

Barbara Lutaif Bianchini, Eloiza Gomes, Marcela Parraguez González, de Gabriel Loureiro Lima

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引用次数: 0

Abstract

Abstract The objective of this paper is to establish comparisons between the Linear Algebra (LA) approach practiced in Engineering courses offered by Chilean and Brazilian Higher Education Institutions and, for that, teachers from both countries were interviewed. From a methodological point of view, the research consists of two case studies. For the analysis of the interviews, we used the precepts of Content Analysis. The data were qualitatively analyzed considering the MTSK theoretical model. In this analysis, we sought to identify what specialized knowledge these teachers have regarding AL and about its teaching and learning. The results have shown that, in relation to the Mathematical Knowledge (MK) domain, which refers to content knowledge, the Knowledge of Topics subdomain (KoT), linked to the way that teachers know the topics they teach, is the most present among interviewees. In the Pedagogical Content Knowledge (PCK) domain, covering specific pedagogical knowledge linked to Mathematics, the Knowledge of Mathematics Teaching (KMT), regarding strategies, teaching theories, resources and materials, and Knowledge of Mathematics Learning Standards (KMLS) subdomains, concerning the curricular specifications and the moments in which the student must or can learn certain content and with what level of depth prevail.

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工程中的线性代数:智利和巴西教师专业知识的研究

摘要本文的目的是建立线性代数(LA)方法在智利和巴西高等教育机构提供的工程课程实践之间的比较，并为此，来自两国的教师进行了采访。从方法论的角度来看，本研究包括两个案例研究。对于访谈的分析，我们使用了内容分析的原则。采用MTSK理论模型对数据进行定性分析。在这一分析中，我们试图确定这些教师对人工智能及其教学和学习的专业知识。结果显示，在涉及内容知识的数学知识(MK)领域中，与教师了解其所教主题的方式相关的主题子领域(KoT)在受访者中最为普遍。在教学内容知识(PCK)领域，涵盖与数学相关的特定教学知识;数学教学知识(KMT)，涉及策略、教学理论、资源和材料;数学学习标准知识(KMLS)子领域，涉及课程规范和学生必须或可以学习某些内容的时刻以及以何种深度占主导地位。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Teaching Mathematics and Its Applications EDUCATION & EDUCATIONAL RESEARCH-

CiteScore

2.40

自引率

25.00%

发文量

期刊介绍： The journal provides a forum for the exchange of ideas and experiences which contribute to the improvement of mathematics teaching and learning for students from upper secondary/high school level through to university first degree level. A distinctive feature of the journal is its emphasis on the applications of mathematics and mathematical modelling within the context of mathematics education world-wide. The journal"s readership consists of mathematics teachers, students, researchers and those concerned with curriculum development and assessment, indeed anyone concerned about the education of users of mathematics.