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Inquiry pedagogy to promote emerging proportional reasoning in primary students

机译:探究教学法以促进小学生新兴的比例推理

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摘要

Proportional reasoning as the capacity to compare situations in relative (multiplicative) rather than absolute (additive) terms is an important outcome of primary school mathematics. Research suggests that students tend to see comparative situations in additive rather than multiplicative terms and this thinking can influence their capacity for proportional reasoning in later years. In this paper, excerpts from a classroom case study of a fourth-grade classroom (students aged 9) are presented as they address an inquiry problem that required proportional reasoning. As the inquiry unfolded, students' additive strategies were progressively seen to shift to proportional thinking to enable them to answer the question that guided their inquiry. In wrestling with the challenges they encountered, their emerging proportional reasoning was supported by the inquiry model used to provide a structure, a classroom culture of inquiry and argumentation, and the proportionality embedded in the problem context.
机译:比例推理是比较相对(乘法)而不是绝对(加法)情况的能力,是小学数学的重要成果。研究表明,学生倾向于用加法而不是乘法来观察比较情况,这种想法会影响他们以后进行比例推理的能力。本文介绍了四年级教室(9岁的学生)的教室案例研究的摘录,因为它们解决了需要比例推理的查询问题。随着探究的展开,逐渐看到学生的加性策略转向比例思维,以使他们能够回答指导探究的问题。在与他们所遇到的挑战作斗争时,他们不断出现的比例推理得到了用来提供结构,询问和论证的课堂文化以及问题上下文中嵌入的比例性的查询模型的支持。

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