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发现物体和数字中的模式:学前的重复模式预测幼儿园数学知识。

Finding patterns in objects and numbers: Repeating patterning in pre-K predicts kindergarten mathematics knowledge.

机构信息

Department of Psychology and Human Development, Vanderbilt University, Nashville, TN 37203, USA.

Department of Psychology and Human Development, Vanderbilt University, Nashville, TN 37203, USA.

出版信息

J Exp Child Psychol. 2020 Dec;200:104965. doi: 10.1016/j.jecp.2020.104965. Epub 2020 Sep 1.

Abstract

Both recent evidence and research-based early mathematics curricula indicate that repeating patterns-predictable sequences that follow a rule-are a topic of major importance for mathematics development. The purpose of the current study was to help build a theory for how early repeating patterning knowledge contributes to early math development, focusing on development in children aged 4-6 years. The current study examined the relation between 65 preschool children's repeating patterning knowledge (via a fast, teacher-friendly measure) and their end-of-kindergarten broad math and numeracy knowledge, controlling for verbal and visual-spatial working memory (WM) skills as well as end-of-pre-K (pre-kindergarten) broad math knowledge. Relations were also examined between repeating patterning and specific aspects of numeracy knowledge-knowledge of the count sequence to 100 and the successor principle. Children's repeating patterning knowledge was significantly predictive of their broad math and general numeracy knowledge, as well as one specific aspect of their numeracy knowledge (counting to 100), even after controlling for verbal and visual-spatial WM skills. Further, repeating patterning knowledge remained a unique predictor of general numeracy knowledge and counting to 100 after controlling for end-of-pre-K broad math knowledge. The relation between repeating patterning and mathematics may be explained by the central role that identifying predictable sequences based on underlying rules plays in both. Theories of math development and early math instruction standards should thus give even greater attention to the role of children's repeating patterning knowledge.

摘要

近期的证据和基于研究的早期数学课程都表明,模式重复——遵循规则的可预测序列——是数学发展的一个重要主题。本研究的目的是帮助构建一个关于早期重复模式知识如何促进早期数学发展的理论,重点是 4-6 岁儿童的发展。本研究通过快速、教师友好的测量方法,考察了 65 名学龄前儿童的重复模式知识(重复模式知识)与他们在幼儿园结束时的广泛数学和计算知识之间的关系,同时控制了言语和视觉空间工作记忆(WM)技能以及幼儿园结束时的广泛数学知识。还检查了重复模式与具体计算知识(到 100 的计数序列和后继原则)之间的关系。即使在控制了言语和视觉空间 WM 技能后,儿童的重复模式知识仍然可以显著预测他们的广泛数学和一般计算知识,以及他们的计算知识的一个特定方面(到 100 的计数)。此外,即使在控制了幼儿园结束时的广泛数学知识后,重复模式知识仍然是一般计算知识和到 100 的计数的独特预测指标。重复模式和数学之间的关系可以用基于规则识别可预测序列在两者中都起着核心作用来解释。因此,数学发展理论和早期数学教学标准应该更加关注儿童重复模式知识的作用。

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