文章基本信息

标题：Exploring the Potential Role of Reversible Reasoning: Cognitive Research on Inverse Function Problems in Mathematics
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作者：Muhammad IKRAM ; Muhammad IKRAM ; Muhammad IKRAM 等
期刊名称：Journal for the Education of Gifted Young Scientists
印刷版ISSN：2149-360X
出版年度：2020
卷号：8
期号：1
页码：591-611
DOI：10.17478/jegys.665836
语种：English
出版社：Journal for the Education of Gifted Young Scientists
摘要：Researchers have argued that reversible reasoning is involved in all topics in mathematics.The study employed a qualitative research approach,consisted of three sessions (pre-assessment,thinking-aloud,and interview),and involved eight participants enrolled in Algebra class.The aim was to explore the potential role of reversible reasoning on students'inverse functions.The result of study indicated that there three categories of reversible reasoning that refer to the consistency of students in completing inverse function tasks,which are relational-harmonic,relationalvisual,and relational-identity.Mental activities performed by the students in constructing and reasoning inverse functions were also explained.In addition,potential aspects of the students'reversible reasoning created during the process of constructing meaning were highlighted.These findings provide perspectives on reversible reasoning,students'understanding of inverse functions,and areas of future research.
关键词：reversibility;reversible reasoning;inverse function;problem-solving