Orantısal Akıl Yürütmenin Gelişimine Yönelik Varsayıma Dayalı Öğrenme Rotasının Geliştirilmesi (Development of a Hypothetical Learning Trajectory for Enhancing Proportional Reasoning)

2022-01-01
AYAN CİVAK, RUKİYE
Işıksal Bostan, Mine
YEMEN KARPUZCU, SEÇİL
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The purpose of this study was to develop a hypothetical learning trajectory and related instructional sequence for proportional reasoning based on the theory of Realistic Mathematics Education. In line with this purpose, the hypothetical learning trajectory and related instructional sequence were developed, tested, revised, and finalized in three macrocycles conducted in seventh grade classrooms through a design-based research perspective. The classroom data that emerged during the instruction in the third macrocycle were analyzed by Toulmin's model of argumentation. Findings revealed that teaching ratio and proportion by progressing from informal to formal tools in realistic contexts has significant potential for students to learn this subject in meaningful, comprehensive, and coherent ways. Within the context of this study, in addition to analyzing a classroom community's learning, the means used to support that learning are being portrayed. In this regard, it is foreseen that the results of this study related to design and implementation would be useful for improving the quality of the teaching and learning of ratio and proportion.
proportional reasoning, multiplicative reasoning, Realistic Mathematics Education, hypothetical learning trajectory, design-based research
http://www.efdergi.hacettepe.edu.tr/yonetim/plugins/uploads/files/3413-published.pdf
https://hdl.handle.net/11511/100654
HACETTEPE UNIVERSITESI EGITIM FAKULTESI DERGISI-HACETTEPE UNIVERSITY JOURNAL OF EDUCATION
Department of Elementary Education, Article

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Citation Formats
R. AYAN CİVAK, M. Işıksal Bostan, and S. YEMEN KARPUZCU, “Orantısal Akıl Yürütmenin Gelişimine Yönelik Varsayıma Dayalı Öğrenme Rotasının Geliştirilmesi (Development of a Hypothetical Learning Trajectory for Enhancing Proportional Reasoning),” HACETTEPE UNIVERSITESI EGITIM FAKULTESI DERGISI-HACETTEPE UNIVERSITY JOURNAL OF EDUCATION, vol. 37, no. 1, pp. 345–365, 2022, Accessed: 00, 2022. [Online]. Available: http://www.efdergi.hacettepe.edu.tr/yonetim/plugins/uploads/files/3413-published.pdf.
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