The Impact of Computational Labs on Conceptual and Contextual Understanding in a Business Calculus Course

IF 1.2 Q2 EDUCATION & EDUCATIONAL RESEARCH International Journal of Research in Undergraduate Mathematics Education Pub Date : 2024-08-19 DOI:10.1007/s40753-024-00255-1
Brielle Spencer-Tyree, Bradley D. Bowen, Modiu Olaguro
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Abstract

This study investigates the impact of computational labs on students’ conceptual understanding of calculus in a one-semester Business Calculus course. The computational labs integrated Jupyter Notebook as the modeling tool. Using the Calculus Concept Inventory, quantitative analysis was performed to measure differences in conceptual knowledge between a control and experimental group based on whether the student engaged in computational labs compared to traditional classwork. Qualitative analysis was conducted to understand student perspectives about the value of participating in computational labs during the course. The qualitative data involved student reflections at the end of each lab experience. Although the quantitative analysis did not produce statistically significant results, the qualitative analysis revealed the students perceived the computational labs as beneficial regarding their understanding of the content and practical applications of the material. Notably, the students reported the labs offered a unique way to solve problems, allowed for connections to real-life mathematical situations, and helped to visualize calculus concepts. This paper describes the research project and offers practical applications of computational labs in Business Calculus courses, as well as suggestions for future research.

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计算实验室对商业微积分课程中概念和情境理解的影响
本研究调查了在一学期的商业微积分课程中,计算实验室对学生微积分概念理解的影响。计算实验室集成了 Jupyter Notebook 作为建模工具。使用微积分概念量表,根据学生是否参与计算实验室与传统课堂作业,进行定量分析,以衡量对照组和实验组在概念知识方面的差异。为了了解学生对课程期间参与计算实验室的价值的看法,还进行了定性分析。定性数据包括学生在每次实验体验结束时的反思。虽然定量分析没有得出有统计学意义的结果,但定性分析显示,学生认为计算实验室对他们理解教材内容和实际应用是有益的。值得注意的是,学生们表示实验室提供了一种独特的解决问题的方式,允许将其与现实生活中的数学情境联系起来,并有助于将微积分概念形象化。本文介绍了该研究项目,并提供了计算实验室在商业微积分课程中的实际应用以及对未来研究的建议。
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来源期刊
CiteScore
2.90
自引率
20.00%
发文量
41
期刊介绍: The International Journal of Research in Undergraduate Mathematics Education is dedicated to the interests of post secondary mathematics learning and teaching. It welcomes original research, including empirical, theoretical, and methodological reports of learning and teaching of undergraduate and graduate students.The journal contains insights on mathematics education from introductory courses such as calculus to higher level courses such as linear algebra, all the way through advanced courses in analysis and abstract algebra. It is also a venue for research that focuses on graduate level mathematics teaching and learning as well as research that examines how mathematicians go about their professional practice. In addition, the journal is an outlet for the publication of mathematics education research conducted in other tertiary settings, such as technical and community colleges. It provides the intellectual foundation for improving university mathematics teaching and learning and it will address specific problems in the secondary-tertiary transition. The journal contains original research reports in post-secondary mathematics. Empirical reports must be theoretically and methodologically rigorous. Manuscripts describing theoretical and methodological advances are also welcome.
期刊最新文献
Beliefs of Undergraduate Mathematics Education Students in a Teacher Education Program about Visual Programming in Mathematics Classes A Department-Wide Transition to a New Mode of Computer-Aided Assessment Using STACK Forms of Structuring Space by Linear Algebra Students with Video Games and GeoGebra Example-Generation Tasks for Computer-Aided Assessment in University Mathematics Education: Insights From A Study Conducted in Two Educational Contexts The Impact of Computational Labs on Conceptual and Contextual Understanding in a Business Calculus Course
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