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Despite of the significance of proportional reasoning in secondary mathematics, how student might be supported to learn proportional reasoning remain unknown. The purpose of this study is to explore how the Korean textbooks may facilitate student learning of proportional reasoning by exploring the transition from concrete to abstract representations. This study also explores different perspectives used to promote student learning of proportional reasoning. A total of 189 instances were identified. Findings revealed several important aspects of the Korean textbooks. First, proportional reasoning was contextualized in real-world situations, which serves as a starting point of the transition process from concrete to abstract. Second, the use of multiple visual representations in concrete representations facilitated students’ sense-making of computational procedures in abstract representations
Ji-Won Son, University at Buffalo - SUNY
Hee-Jeong Kim, Hongik University, South Korea
SeungJung Jo, University at Buffalo - SUNY