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本文引用的文献

1
Relations between patterning skill and differing aspects of early mathematics knowledge.模式化技能与早期数学知识不同方面之间的关系。
Cogn Dev. 2017 Oct;44:1-11. doi: 10.1016/j.cogdev.2017.07.003. Epub 2017 Aug 5.
2
Links between repeating and growing pattern knowledge and math outcomes in children and adults.
Child Dev. 2023 Mar;94(2):e103-e118. doi: 10.1111/cdev.13882. Epub 2022 Dec 22.
3
Walking another pathway: The inclusion of patterning in the pathways to mathematics model.探索另一条途径:将模式纳入数学模型构建途径之中。
J Exp Child Psychol. 2022 Oct;222:105478. doi: 10.1016/j.jecp.2022.105478. Epub 2022 Jun 14.
4
Associations Between Repeating Patterning, Growing Patterning, and Numerical Ability: A Longitudinal Panel Study in 4- to 6-Year Olds.重复模式、增长模式与数字能力之间的关联:一项针对4至6岁儿童的纵向追踪研究
Child Dev. 2021 Jul;92(4):1354-1368. doi: 10.1111/cdev.13490. Epub 2021 Jan 4.
5
Finding patterns in objects and numbers: Repeating patterning in pre-K predicts kindergarten mathematics knowledge.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。
J Exp Child Psychol. 2020 Dec;200:104965. doi: 10.1016/j.jecp.2020.104965. Epub 2020 Sep 1.
6
Patterning counts: Individual differences in children's calculation are uniquely predicted by sequence patterning.模式化很重要:儿童计算的个体差异可以通过序列模式化来独特地预测。
J Exp Child Psychol. 2019 Jan;177:152-165. doi: 10.1016/j.jecp.2018.07.016. Epub 2018 Sep 8.
7
Early Math Trajectories: Low-Income Children's Mathematics Knowledge From Ages 4 to 11.早期数学轨迹:4 至 11 岁低收入儿童的数学知识。
Child Dev. 2017 Sep;88(5):1727-1742. doi: 10.1111/cdev.12662. Epub 2016 Dec 6.
8
Mathematics and Science Learning Opportunities in Preschool Classrooms.幼儿园教室中的数学与科学学习机会
Early Educ Dev. 2014 May;25(4):445-468. doi: 10.1080/10409289.2013.817753.

早期数学教科书中的重复与增长模式。

Repeating and Growing Patterns in Early Mathematics Textbooks.

作者信息

Grenell Amanda, Hine Ellie, Fyfe Emily R

机构信息

Indiana University.

出版信息

J Curric Stud. 2025;57(3):287-302. doi: 10.1080/00220272.2024.2319659. Epub 2024 Feb 29.

DOI:10.1080/00220272.2024.2319659
PMID:40548145
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC12180543/
Abstract

There has been increased attention to the role of explicit pattern tasks in early mathematics learning, with growing recommendations to incorporate more pattern tasks in standards and curricula. One critical piece of this discussion is to consider whether the pattern tasks currently presented in formal curricula materials align with the research on the development of children's early patterning skills. In the current paper, we quantified the prevalence of patterns and their core features in five early mathematics curricula used in the United States in kindergarten and first grade. Explicit patterns were rare - with one pattern every 20 pages in kindergarten and one pattern every 60 pages in first grade. Most of these explicit pattern tasks included repeating patterns (73%) instead of growing patterns (27%), though this trend was prominent in kindergarten texts and slightly reversed in the first-grade texts. The features of the pattern tasks were often misaligned with research recommendations; most tasks were simplistic, and there was little variability in the complexity of the pattern materials and structures. These findings highlight the need to pinpoint the specific features of pattern tasks that optimize children's learning opportunities and how best to align these with real-world learning materials.

摘要

人们越来越关注明确的模式任务在早期数学学习中的作用,越来越多的建议主张在标准和课程中纳入更多的模式任务。这场讨论的一个关键部分是考虑目前正式课程材料中呈现的模式任务是否与关于儿童早期模式技能发展的研究相一致。在本文中,我们对美国幼儿园和一年级使用的五种早期数学课程中模式及其核心特征的出现频率进行了量化。明确的模式很少见——幼儿园每20页有一个模式,一年级每60页有一个模式。这些明确的模式任务大多包含重复模式(73%)而非增长模式(27%),不过这种趋势在幼儿园教材中很明显,在一年级教材中略有反转。模式任务的特征往往与研究建议不一致;大多数任务都很简单,模式材料和结构的复杂性几乎没有变化。这些发现凸显了需要确定模式任务的具体特征,这些特征能优化儿童的学习机会,以及如何最好地将这些特征与现实世界的学习材料相结合。