Decentralising mathematics: Mutual development of spontaneous and mathematical concepts via informal reasoning
Yusuke Uegatani,
Hiroki Otani,
Taro Fujita
Abstract:This paper aims to shed light on an overlooked but essential aspect of informal reasoning and its radical implication to mathematics education research: Decentralising mathematics. We start to problematise that previous studies on informal reasoning implicitly overfocus on what students infer. Based on Walton’s distinction between reasoning and argument, and Ernest’s concept of intrapersonal dialogue, we propose two theoretical perspectives for understanding the roles of informal reasoning in argumentation: th… Show more
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