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Ancient China history-based task to support students' geometrical reasoning and mathematical literacy in learning Pythagoras

机译:古代中国历史的任务,支持学生的几何推理和学习毕达哥拉斯的数学识字

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This study aims to identify the potential learning opportunities provided by ancient china's geometric diagram introduced by Liu Hui into student task in learning Pythagorean theorem. We investigate the role of the history-based task, from Nine Chapter, in supporting students' mathematics literacy and geometrical reasoning. Design research was chosen as a method to reach the purpose. Our discussion is limited only from a part of one phase, namely pilot experiment, from three main phases of design research. This research was conducted at three different Junior High schools in Indonesia. The instructional activities were designed based on history-based problem-solving. The analysis was focused on students' learning process, and specifically, the results of their visual reasoning and mathematical literacy. The result indicated that the use of figures or diagrams, with written information act as a support for performing algebraic calculations for students who are unfamiliar using symbol or algebraic operation. In this way, by using geometric manipulation, a new figure is arrived at on which the solution can now be read easier. Furthermore, by using history-based context, students got more opportunities to improve their performance in mathematics literacy by formulating various contextual mathematics problem, sourced from history, into mathematical form.
机译:本研究旨在识别刘辉古代中国几何图所提供的潜在学习机会,以刘辉引入学生在学习毕达哥拉斯定理方面的任务。我们调查历史为基础的任务,从九章支持支持学生的数学识字和几何推理。选择设计研究作为达到目的的方法。我们的讨论仅限于一阶段的一部分,即试点实验,从设计研究的三个主要阶段。这项研究是在印度尼西亚的三个不同初中进行的。教学活动是根据基于历史的解决问题而设计的。分析专注于学生的学习过程,具体而言,他们的视觉推理和数学素养的结果。结果表明,使用附图或图表,具有书面信息的支持,作为对使用符号或代数操作不熟悉的学生执行代数计算的支持。以这种方式,通过使用几何操作,可以在其上到达新的数字,现在可以更容易地读取解决方案。此外,通过使用基于历史的背景,学生通过制定各种上下文数学问题,从历史中投入数学形式,学生在数学识字中提高其在数学识字中的性能。

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