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数学语言很重要:特定于数学的语言技能,而非非符号数量的类比表征,能预测小学生的符号分数能力。

Math language matters: math-specific verbal skills, not analog representation of non-symbolic magnitudes, predict symbolic fraction abilities in primary school children.

作者信息

Park Yunji, Matthews Percival G

机构信息

Department of Educational Psychology, University of Wisconsin - Madison, Madison, WI, USA; Department of Psychiatry & Behavioral Sciences, Stanford University of Medicine, Stanford, CA, USA.

Department of Educational Psychology, University of Wisconsin - Madison, Madison, WI, USA.

出版信息

J Exp Child Psychol. 2025 Jul 31;260:106349. doi: 10.1016/j.jecp.2025.106349.

Abstract

Fractions knowledge is widely recognized as a key building block for developing mathematical competence. However, many children face difficulties learning fractions. Recognizing these challenges, researchers have sought potential leverage points to enhance children's fraction learning. In the present study, we investigated the relative contributions of verbal skills vs. non-verbal, non-symbolic number processing to 5th- to 7th- grade children's fractions skills. Specifically, we compared two math-specific verbal skills-transcoding and mathematics vocabulary-and two skills representing non-symbolic analog magnitudes-approximate number sense acuity and acuity for processing non-symbolic ratios. To assess children's symbolic fraction abilities, we used an experimental fraction arithmetic error detection task alongside a fraction magnitude comparison task, with fractions stimuli composed of two-digit components. Critically, mathematics vocabulary was the only predictor of interest that significantly predicted performance on both the error detection and comparison tasks. Our findings underscore the importance of math-specific verbal skills in supporting children's fraction abilities, perhaps implicating their role in fostering conceptual understanding, while indicating a limited role for analog representational skills.

摘要

分数知识被广泛认为是发展数学能力的关键基石。然而,许多儿童在学习分数时面临困难。认识到这些挑战后,研究人员一直在寻找潜在的杠杆点来提高儿童的分数学习能力。在本研究中,我们调查了语言技能与非语言、非符号数字处理对五至七年级儿童分数技能的相对贡献。具体而言,我们比较了两种特定于数学的语言技能——转码和数学词汇,以及两种代表非符号模拟量的技能——近似数字感敏锐度和处理非符号比率的敏锐度。为了评估儿童的符号分数能力,我们使用了一个实验性分数算术错误检测任务以及一个分数大小比较任务,分数刺激由两位数组成。至关重要的是,数学词汇是唯一显著预测错误检测和比较任务表现的感兴趣的预测因素。我们的研究结果强调了特定于数学的语言技能在支持儿童分数能力方面的重要性,这可能暗示了它们在促进概念理解中的作用,同时表明模拟表征技能的作用有限。

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