Levels of understanding of patterns in multiple representations
Levels of understanding of patterns in multiple representations
复制标题
对多种表示形式的模式的理解水平
DOI：
--
复制
发表时间：
2006
期刊：
影响因子：
--
通讯作者：
A. Savva
中科院分区：
文献类型：
--
作者：
S. Michael;I. Elia;A. Gagatsis;A. Theoklitou;A. Savva
本研究探讨了不同表征形式对小学生在结构复杂和结构简单的活动中表现的影响，这些活动包括延续一个模式、预测下一个位置的术语和形成概括。数据是在测试的基础上从五年级和六年级的学生那里获得的。根据小学生的表现，验证了数学关系认知复杂性的三个水平：数学关系的经验抽象、一般规则的内隐使用和一般规则的显性使用。研究结果还表明，最初的表征形式影响了小学生的表现，尤其是在复杂图案上。与口头表征相比，小学生对图片表征的处理效率更高。
This study explores the influence of different forms of representations on pupils’ performance in complex and simple structured patterns at activities which involved continuing a pattern, predicting terms in further positions and formulating a generalization. Data were obtained from pupils in grades 5 and 6 on the basis of a test. Three levels of cognitive complexity (CC) of the understanding of mathematical relations in patterns were validated based on pupils’ performance: empirical abstraction of mathematical relations, implicit use of a general rule and explicit use of a general rule. Findings also revealed that the initial representational form affected pupils’ performance especially at complex patterns. Pupils dealt more efficiently with the pictorial form of representation relative to the verbal one.