INVESTIGATION OF THE CONCEPT OF TRIANGLE IN SECONDARY SCHOOL MATHEMATICS TEXTBOOKS IN TERMS OF TOOL/OBJECT DIALECTIC

Müge Ki̇raz, M. S. TAPAN-BROUTIN, Hatice Kübra GÜLER SELEK
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Abstract

In this study, it was aimed to examine the concept of triangle in middle school mathematics textbooks (grades 5-8) in terms of tool/object dialectic and to examine in which case the concept has the status of tool and in which case it has the status of object from the 5th to the 8th grade level. Since the textbooks were analyzed in the study, this study is a document analysis study. The MoNE 5th, 6th, 7th, and 8th grade textbooks taught in middle schools in the 2022-2023 academic year were used as documents in the study. The triangle concept in the textbooks was examined in terms of the tool/object dialectic, and the situations in which the concept is related to the status of tool or object were analyzed using document analysis. As a result of the research, it has been reached that the concept of middle school mathematics 5th grade lesson triangle is mostly in the "object" status, while it is mostly in the "tool" status in the 6th, 7th and 8th grade textbooks. Therefore, it can be interpreted that there are limits to basic learning about triangles in the 5th grade, and that more emphasis should be placed on triangles in the 6th, 7th and 8th grades.
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从工具/对象辩证法考察中学数学教材中的三角形概念
在本研究中,旨在从工具/对象辩证法的角度考察中学数学教科书(5-8年级)中的三角形概念,并从5-8年级的水平考察该概念在哪种情况下具有工具的地位,在哪种情况下具有对象的地位。由于本研究分析的是教科书,所以本研究属于文献分析研究。本研究以2022-2023学年的MoNE小学五、六、七、八年级教材为研究资料。从工具/对象的辩证法角度考察教材中的三角概念,运用文献分析法分析该概念与工具或对象的状态相关的情况。研究结果表明,中学数学五年级课堂三角形概念在六、七、八年级教科书中多处于“客体”地位,而在六、七、八年级教科书中多处于“工具”地位。因此,可以解释为,五年级对三角形的基础学习是有限的,应该在六年级、七年级和八年级更加重视三角形。
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