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Elementary students' understanding of the equal sign in number sentences

机译:小学生对数字句中等号的理解

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摘要

Introduction: Interested in the curricular proposal of integrating algebraic thinking in ele-mentary mathematics, we analyse the understanding of number sentences of a group of ele-mentary students and its evolution when working on solving open and true/false number sen-tences. \udMethod: A teaching experiment with a group of eight-nine years old students which shares the features of research design. It consisted of six one-hour in-class sessions, over a period of one year, in which we proposed students individual written activities, whole group discussions and individual interviews. \udResults: Students evidenced four different meanings of the equal sign which are here used to establish different levels in their understanding. By using these levels, we analyze the evolu-tion of students?? understanding of the sentences along the experiment.\udDiscussion: Students evidenced the used of multiplicity of meanings of the equal sign and some displayed some instability in their understanding along the six sessions. The specific factors that explain that instability are identified and some didactical consequences are ob-tained. The obtained results are contrasted with those of previous studies.
机译:简介:对将代数思维整合到基本数学中的课程建议感兴趣,我们分析了一组基本学生对数字句子的理解及其在解决开放式和正确/错误数字句时的演变。 \ ud方法:与一组八岁的学生一起进行的教学实验,该实验具有研究设计的特征。在一年的时间里,它包括六个一小时的课堂教学,其中我们建议学生进行个人写作活动,整个小组讨论和个人访谈。 \ ud结果:学生证明了等号的四种不同含义,这些含义用于在他们的理解中建立不同的层次。通过使用这些级别,我们分析了学生的发展?讨论:学生证明了等号含义的多样性,并且在六个环节中他们的理解有些不稳定。确定了解释不稳定的特定因素,并获得了一些教学上的后果。所得结果与以前的研究结果进行了对比。

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