Utilization of The Thrasher and Rice Mill Machines in Composition Function Learning: A Hypothetical Learning Trajectory Design

Ulfa Masamah, D. Sumardani
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Abstract

The study aims to design mathematics learning in composite function concepts with farm tools, which are thrasher and rice mill machines; this farm’s tool is used as to starting point in the learning process. The research method used is design research with a  preliminary design, design experiment, and analysis retrospective stages. This study describes the design of the thrasher and rice mill machine to facilitate a real contribution for student understanding of the composite function concept. The participant of this research is 10 eleventh-grade students from one of the senior high school in East Java. The results of this study reveal that students are able to make associations from the thrasher and rice mill machine through the determination of the input and output of the machines to the formula of the composite function concept. So, the stages in the learning trajectory have an important role in understanding the composition function concept from informal level to formal level and also make the study of mathematics more easy, simple, fun, and comfortable.
脱粒机和碾米机在组合函数学习中的应用:一种假设的学习轨迹设计
本研究的目的是设计复合函数概念的数学学习与农具,即脱粒机和碾米机;这个农场的工具被用作学习过程的起点。研究方法为设计研究,分为初步设计、设计实验和回顾性分析三个阶段。本研究描述了脱粒机和碾米机的设计,为学生理解复合功能概念做出了真正的贡献。本研究的参与者是东爪哇一所高中的10名11年级学生。本研究结果表明,学生能够通过确定机器的输入和输出到复合函数概念的公式,将脱粒机和碾米机联系起来。因此,学习轨迹中的阶段对于从非正式层次到正式层次的理解构成函数概念有着重要的作用,也使数学学习变得更容易、简单、有趣和舒适。
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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