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Exploring Derivatives by Means of GeoGebra

机译:通过GeoGebra探索衍生物

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The paper aims to explain how GeoGebra can be used in a differential calculus course to explore the Derivative concepts by providing dynamic-visualizations of the concept. Design research methodology was used in this research by designing an instructional design (hypothetical learning trajectories) in the first phase and conducting the teaching experiment in the second phase. The data collected during the experiment consist of video recordings of the classroom activities, observations, interviews, and students written work. In the third phase of the design research, the data were analyzed retrospectively by comparing the actual learning process and the hypothetical learning trajectory. The results show that the dynamic feature of GeoGebra offers the possibility of zooming in on a graph corresponds to taking infinitesimal when a secant line transforms into a tangent line. This builds a foundation for the understanding of the definition of derivative intuitively.
机译:本文旨在通过提供动态可视化来说明如何在微积分课程中使用GeoGebra来探索微分概念。通过在第一阶段设计教学设计(假设学习轨迹)并在第二阶段进行教学实验,设计研究方法被用于本研究。实验期间收集的数据包括课堂活动,观察,访谈和学生书面作品的视频记录。在设计研究的第三阶段,通过比较实际的学习过程和假设的学习轨迹对数据进行回顾性分析。结果表明,GeoGebra的动态特征提供了放大图形的可能性,这对应于割线转换成切线时取无穷小。这为直观理解派生定义奠定了基础。

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