Modelling in Primary School: Constructing Conceptual Models and Making Sense of Fractions

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• 作者：Juhaina Awawdeh Shahbari ; Irit Peled
• 关键词：Fractions ; Modelling ; Model ; eliciting activity ; Operator ; Part ; whole
• 刊名：International Journal of Science and Mathematics Education
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：15
• 期：2
• 页码：371-391
• 全文大小：
• 刊物类别：Humanities, Social Sciences and Law
• 刊物主题：Mathematics Education; Science Education;
• 出版者：Springer Netherlands
• ISSN：1573-1774
• 卷排序：15

文摘

This article describes sixth-grade students’ engagement in two model-eliciting activities offering students the opportunity to construct mathematical models. The findings show that students utilized their knowledge of fractions including conceptual and procedural knowledge in constructing mathematical models for the given situations. Some students were also able to generalize the fraction model and transfer it to a new situation. Analysis of the students’ work demonstrates that they made use of four fraction constructs—part-whole, operator, quotients, and ratio. The activities also revealed difficulties in the students’ knowledge of fractions, some of which were overcome in the process of organizing and mathematizing the problem.