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英语学习者中涌现的数学困难:能否降低出现的概率?

Emergent math difficulties among English learners: can the odds be reduced?

机构信息

Educational psychology, University of California-Riverside, Riverside, CA, USA.

Eductional psychology, University of New Mexico, Albuquerque, NM, USA.

出版信息

Child Neuropsychol. 2023 Jan;29(1):136-164. doi: 10.1080/09297049.2022.2073987. Epub 2022 May 22.

Abstract

Solving word problems in mathematics presents difficulties for many English learners (ELs), including those who use Spanish as a home language. In the early stage of learning to solve mathematics word problems, some children, including ELs, experience difficulties. By English status, EL refers to those children whose home language was Spanish while in the process of developing English at school. Math difficulties (MD) refers to those children with low normative mathematical problem-solving scores in both English and Spanish. The purpose of this study was to determine those measures that increase the odds of identifying EL children with emergent MD. Elementary school children (grades 1, 2, and 3) were administered a battery of math, vocabulary, reading, and cognitive measures (short-term memory [STM], inhibition, working memory [WM]) in both Spanish (L1) and English (L2) in Year 1 and again one year later. Multilevel growth modeling compared MD children identified one year later who manifested MD to children who were average math achievers or poor math achievers across the two testing waves (year 1 and year 2). The results indicated that significant growth parameters (i.e., measures of estimation, WM) increased the odds of identifying emergent MD relative to children with Persistent math deficits and average achievers. The results were discussed in terms of a multidimensional model that taps domain-specific skills and general cognitive processes that increase the odds of identifying later math difficulties.

摘要

对于许多英语学习者(ELs)来说,包括那些以西班牙语为母语的人,解决数学应用题都有困难。在学习解决数学应用题的早期阶段,包括 ELs 在内的一些孩子会遇到困难。根据英语地位,EL 是指那些在学校学习英语的过程中母语是西班牙语的孩子。数学困难(MD)是指那些在英语和西班牙语中数学问题解决标准分数都较低的孩子。本研究的目的是确定哪些措施可以增加识别具有新兴 MD 的 EL 儿童的几率。在一年级和一年后,对小学儿童(1 年级、2 年级和 3 年级)进行了一系列数学、词汇、阅读和认知测试(短期记忆 [STM]、抑制、工作记忆 [WM]),分别用西班牙语(L1)和英语(L2)进行。多层次增长模型将一年后被确定为具有 MD 的儿童与在两次测试(一年级和二年级)中表现为平均数学成绩或数学成绩较差的儿童进行了比较。结果表明,显著的增长参数(即估计、WM 的度量)增加了识别新兴 MD 的几率,而不是那些具有持续数学缺陷和平均成绩的儿童。结果从多维模型的角度进行了讨论,该模型涉及特定领域的技能和一般认知过程,这些技能和过程增加了识别后期数学困难的几率。

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