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Peer instruction methodology for linear algebra subject: A case study in an engineering course

机译:线性代数学科的对等教学方法:工程课程中的案例研究

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While the initial course in linear algebra plays a decisive role in an engineer's basic formation, it is often marked by high rates of student failure and dropout and thus constitutes an important issue in the field of engineering education. The present study aims to enhance the teaching and learning processes in the first phase of linear algebra in engineering curriculum, viz., matrices, systems of linear equations, notions of vectors, and line and plane equations. To address this end, a methodological teaching proposal, Peer Instruction (PI), is proposed to improve student comprehension, classroom interaction, cooperation among peers, and assimilation of fundamental concepts. The PI method was applied in the initial phase of a linear algebra course in the undergraduate Chemical Engineering program at the Federal University of Ceará, Brazil. To measure student prior knowledge, a conceptual pre-test was conducted. Subsequently, eleven 2-hour classes were taught using PI, and a final exam was then conducted. Comparison of pre-and post-test results shows significant increase in student performance. The incremental increase in student-teacher and student-student interactions played a significant role in methodology's success.
机译:虽然线性代数的初始课程在工程师的基础知识中起着决定性的作用,但它通常以高学生失败率和辍学率为特征,因此构成了工程教育领域的重要问题。本研究旨在增强工程课程中线性代数第一阶段的教学过程,即矩阵,线性方程组,向量概念以及线和平面方程。为了解决这个问题,提出了一种方法论教学建议,即对等教学(PI),以提高学生的理解力,课堂互动,同伴之间的合作以及对基本概念的理解。 PI方法已在巴西塞阿拉联邦大学的化学工程本科课程的线性代数课程的初始阶段应用。为了衡量学生的先验知识,进行了概念性的预测试。随后,使用PI教授了11个2小时的课程,然后进行了期末考试。测验前和测验后结果的比较表明,学生的学习成绩显着提高。学生与老师之间以及学生与学生之间互动的不断增加在方法论的成功中起着重要作用。

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