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The effects of a grouping by tens manipulative on children's strategy use, base ten understanding and mathematical knowledge

机译:十次手法分组对儿童策略运用,十项基础知识和数学知识的影响

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摘要

Manipulatives have the potential to be powerful tools in helping children improve their number sense, develop advanced mathematical strategies, and build an understanding of the base ten number system. Physical manipulatives used in classrooms, however, are often not designed to promote efficient strategy use, such as counting on, and typically do not encourage children to perceive higher-order units in multi-digit numbers. The aim of this study was to closely examine the affordances of a novel grouping by tens virtual manipulative. Seventy-nine first grade students were randomly assigned to one of two math software comparison groups or a reading software control group. In the math comparison groups, children received scaffolding and feedback while playing a computerized enumeration game that required them to use the novel grouping by tens manipulative. Children in the Transformation group used a manipulative that transformed from a unitized to a continuous model, while children in the Unitized group used a manipulative that remained discrete. Researchers recorded children's strategy use and accuracy when determining how many objects appeared on the screen, and the data were examined microgenetically. Children's counting on abilities, base ten understanding, and number sense were tested at posttest to examine group differences. The results showed that using the transforming manipulative significantly improved children's ability to count on at posttest. The math software also improved girls' base ten understanding at posttest. Children who used the math software in both conditions improved in their advanced strategy use and accuracy over time. These findings suggest that virtual manipulatives have the potential to improve children's strategy use and base ten understanding in ways that physical manipulatives may not. Suggestions for future research are discussed.
机译:操纵有可能成为帮助孩子提高数字感,发展高级数学策略以及加深对十进制数字系统的理解的有力工具。但是,教室中使用的物理操作通常并非旨在促进有效的策略使用(例如指望),并且通常不鼓励儿童以多位数的数字来感知较高阶的单位。这项研究的目的是通过数十种虚拟操作来仔细检查一种新颖分组的功能。将79名一年级学生随机分配到两个数学软件比较组或阅读软件对照组中的一个。在数学比较小组中,孩子们在玩计算机化的枚举游戏时需要脚手架和反馈,这需要他们使用数十种手法来进行新颖的分组。转换组中的儿童使用从统一模型转换为连续模型的操纵词,而统一组中的儿童使用仍保持离散的操纵词。研究人员在确定屏幕上出现多少物体时记录了儿童的策略运用和准确性,并对数据进行了微观检查。在后期测试中测试儿童的能力,十分基础的理解和数字感,以检查组差异。结果表明,使用转换操作可以显着提高孩子在测验中的指望能力。该数学软件还提高了女孩在测验时的10点基础理解。在这两种情况下都使用数学软件的孩子,随着时间的推移,高级策略的使用和准确性得到了提高。这些发现表明,虚拟操纵有潜力改善儿童的策略运用,并以物理操纵可能没有的方式使孩子理解十点。讨论了对未来研究的建议。

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    Pagar Dana Lenore;

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  • 年度 2013
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  • 正文语种 {"code":"en","name":"English","id":9}
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