THE EFFECT OF THE HANOI TOWER ON LEARNING THE FINITE INDUCTION PRINCIPLE FROM THE BLOOM TAXONOMY PERSPECTIVE

Mateus Mendes Mangela, A. Rossow, Luiz Henrique Lima Faria, Julia Kerkoff Ladeira
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Abstract

This article is the result of a research on teaching the Principle of Finite Induction (PIF) using the Tower of Hanoi (TH) as a learning object, under the perspective of Bloom's Taxonomy (TB) developed with students from the Integrated Technical courses to Ifes High School - Campus Cariacica carried out by the Research Group Active Practices in the Teaching of Mathematics (GPPAEM). The application of this research had the participation of a high school student in the form of a monitor, helping researchers in their activities. Although there are research works that address the use of the Tower of Hanoi applied in the teaching of mathematics, there is a lack of studies on this theme supported by a learning theory. Motivated by the interest to fill this gap, the research was based on TB to identify the evolution of skills related to the learning of PIF using TH. The research was carried out through the collection and analysis of experimental data results of the students' game experience with HT through the application of a pre-test where the students had only the instruction of the PIF in a theoretical way in an ex-positive class and a post-test where the PIF instruction was mediated with the use of TH. The results showed that the difference between the results of the lecture and the classes using the Hanoi tower was 4.49% for the “remember” level, 7.82% for the “understand” level, and 9.52% to the “apply” level.
从开花分类学角度看河内塔对有限归纳法学习的影响
本文是以河内塔(TH)为学习对象,在布鲁姆分类法(Bloom’s Taxonomy, TB)的视角下,对从综合技术课程到生命高中校园Cariacica的学生进行的有限归纳法原理(PIF)教学研究的结果,由数学教学中的积极实践研究小组(GPPAEM)开展。本研究的应用有一名高中生以班长的形式参与,帮助研究人员进行活动。虽然有研究工作解决了河内塔在数学教学中的应用,但缺乏关于这一主题的学习理论支持的研究。出于填补这一空白的兴趣,本研究基于TB来确定与使用TH学习PIF相关的技能演变。本研究通过收集和分析实验数据结果,通过应用前测和后测,在前阳性课堂中,学生只以理论方式进行PIF教学,而后测中,PIF教学以使用TH作为中介。结果表明,讲座结果与使用河内塔的课程在“记住”水平上的差异为4.49%,“理解”水平上的差异为7.82%,“应用”水平上的差异为9.52%。
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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