Teaching Place Value Concepts and Their Application Using the Concrete-Representational-Abstract Integrated Sequence

Margaret M. Flores, Vanessa M. Hinton, Laura Shadoan, Callye Monroe
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Abstract

This study examined the effects of the concrete-representational-abstract integrated sequence (CRA-I) on teaching place value concepts and their application. The research questions addressed the extent to which CRA-I changed student performance in (a) completing equations that required subtraction with regrouping in the tens place, (b) completing equations that required subtraction with regrouping in the tens and hundreds place, (c) rounding three-digit numbers to the nearest ten or hundred, and (d) using multiple equations to decompose three-digit numbers. Four students in the fourth grade participated. Three students were eligible for services under learning disabilities (LD) or other health impairments (OHI); two students were English language learners. Employing a single-case multiple-probe-across-behaviors design, a functional relation was found between CRA-I and behaviors associated with number concepts. Implications will be discussed.
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利用 "具体-表象-抽象 "综合序列教学位值概念及其应用
本研究探讨了 "具体-表象-抽象综合序列"(CRA-I)对教学位值概念及其应用的影响。研究问题涉及 CRA-I 在多大程度上改变了学生在以下方面的表现:(a) 完成需要在十位上进行重整的减法算式;(b) 完成需要在十位和百位上进行重整的减法算式;(c) 将三位数四舍五入到最接近的十位或百位;以及 (d) 使用多个算式分解三位数。四年级有四名学生参加。三名学生符合学习障碍(LD)或其他健康障碍(OHI)的服务条件;两名学生是英语学习者。采用单例多探究-跨行为设计,发现 CRA-I 与数字概念相关行为之间存在功能关系。本文将讨论其意义。
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