分析学生基于分类学概括模式的错误

Eny Suryowati, Lia Budi Tristanti
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引用次数: 0

摘要

学习数学的技巧之一是泛化。本研究的目的是描述学生在概括数字模式时所犯的错误。本研究的归纳过程基于归纳分类法,即关联、搜索和扩展行为,并以主体的书面和口头陈述的形式归纳反思。在确定研究对象的过程中,我们首先向所有八年级mtsn4 Denanyar Jombang班的35名学生提问关于数字模式的问题。有31名学生在做句型问题时犯了错误。在第n个模型中,有27名学生在确定平方数时出错,这些学生是预期被试,根据关联和搜索策略选择2名学生作为研究被试。四名学生从一开始就在确定指定模型中的平方数时出现了错误,这不是研究的主题,因为主题没有正确执行任何泛化操作。结果表明,第一被试在扩展动作中出现了错误,即被试不能扩展应用范围。第二个被试在扩展动作中也出现了错误,即被试不理解第n种模式,因此无法扩展应用范围。两个被试都出现了过度专业化错误,这是因为学生对问题情境的认知有限,从而导致学生使用低效的策略或泛化错误
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Analisis Kesalahan Siswa dalam Menggeneralisasi Pola Berdasarkan Taksonomi Generalisasi
: One of the skills in learning mathematics is generalization. The purpose of this study is to describe the errors made by students in generalizing number patterns. The generalization process in this study is based on the generalization taxonomy, namely relating, searching and extending actions and generalizing reflections in the form of written and oral statements from the subject. The process of determining the research subjects started from giving questions about number patterns to all students of class VIIIC MTsN 4 Denanyar Jombang as many as 35 students. There were 31 students who made mistakes in working on questions about patterns. There were 27 students who made an error in determining the number of squares in the nth model, these were the prospective subjects and 2 students were selected to be research subjects based on the strategies used in relating and searching. Four students experienced an error from the beginning in determining the number of squares in the specified model, this was not the subject of the study because the subject did not perform any of the generalization actions correctly. The results showed that the first subject made an error in the extending action, namely the subject could not expand the range of application. The second subject also experienced an error in the extending action, namely the subject did not understand the nth pattern so he could not expand the range of application. Both subjects made an overspecialization error, this happened because of the limited perception of students about the situation in the problem so that it could cause students to use inefficient strategies or generalization error
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