Backward Transfer: An Investigation of the Influence of Quadratic Functions Instruction on Students’ Prior Ways of Reasoning About Linear Functions
Backward Transfer: An Investigation of the Influence of Quadratic Functions Instruction on Students’ Prior Ways of Reasoning About Linear Functions
复制标题
向后迁移：二次函数教学对学生先前的线性函数推理方式影响的调查
DOI：
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Charles Hohensee
中科院分区：
文献类型：
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作者：
Charles Hohensee
学习迁移一直是社会科学中许多科学探究的主题。然而，数学教育研究很少关注称为后向迁移的子类，即学习新概念会影响学习者对以前遇到的概念的推理方式。本研究旨在探讨二次函数教学单元在何时以及如何有效地影响中学生对一次函数的推理方式。结果表明，学生对线性函数基本性质的推理方式产生了积极的影响。此外，概念上的联系被确定为学生的推理方式的变化，线性函数，他们在二次单元学到的。这些研究结果表明，它是可能的，以富有成效的影响学习者的推理方式对以前学到的概念在显着的方面，而教他们新的材料和后向迁移提供了一个新的重点数学教育研究的承诺。
The transfer of learning has been the subject of much scientific inquiry in the social sciences. However, mathematics education research has given little attention to a subclass called backward transfer, which is when learning about new concepts influences learners’ ways of reasoning about previously encountered concepts. This study examined when and in what ways a quadratic functions instructional unit productively influenced middle school students’ ways of reasoning about linear functions. Results showed that students’ ways of reasoning about essential properties of linear functions were productively influenced. Furthermore, conceptual connections were identified linking changes in students’ ways of reasoning about linear functions to what they learned during the quadratics unit. These findings suggest that it is possible to productively influence learners’ ways of reasoning about previously learned-about concepts in significant respects while teaching them new material and that backward transfer offers promise as a new focus for mathematics education research.
影响因子：
4.6
作者：
Chen, Z;Klahr, D
通讯作者：
Klahr, D