数感水平较低和较高的一年级学生的模式化策略

IF 3.4 2区 教育学 Q1 EDUCATION & EDUCATIONAL RESEARCH
Astrid Junker, Guri A. Nortvedt, Danyal Farsani
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引用次数: 0

摘要

重复模式的熟练程度预示着学生日后的数学水平。本研究采用多案例比较设计,比较了75名挪威6岁一年级学生在重复模式方面的成功率和策略使用情况。我们在半结构化的任务型访谈中,为学生提供了复制、扩展、转移和单位隔离等活动,并进行了视频录像。学生的数感也通过数字评估进行了测量。对 52 名学生(根据他们的数感得分平均分为两组,最低和最高)进行了深入分析。结果发现,在扩展活动方面,组间差异具有统计学意义。对所使用策略的多模式视频分析表明,两组学生都使用了递归和不同的策略,只有数感强的学生使用了关系策略。而数感低的学生则使用了更多的递归模式策略。我们的研究结果还表明,对模式特征的关注既可能阻碍对模式基本结构的识别,也可能反映了高级策略的使用,而不是没有显示出模式意识。我们讨论了数学模式和结构的分解和意识方面的群体差异,并强调了通过交流为数学模式和结构意识提供支架的必要性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Patterning strategies in grade 1 students with low and high number sense proficiency

Patterning strategies in grade 1 students with low and high number sense proficiency

Repeating patterning proficiency predicts students’ later mathematical proficiency. A comparative multi-case design enabled the present study to compare patterning success and strategy use for repeating patterns of 75 Norwegian 6-year-old grade 1 students. We provided the students with duplicate, extend, transfer, and unit isolation activities in a semi-structured, task-based interview that was video-recorded. The students’ number sense was also measured using a digital assessment. In-depth analysis of 52 students (divided evenly into two groups based on their number sense scores, lowest and highest) was performed. A statistically significant group difference was found for extend activities. Multimodal video analysis of strategies employed revealed that both student groups used recursive and different strategies and only students with high number sense used relational strategies. The students with low number sense used more variants of recursive patterning strategies. Our findings also demonstrated that attention to pattern features may both hinder identification of a pattern’s underlying structure and reflect advanced strategy use rather than not showing pattern awareness. We discuss group differences in terms of decomposition and awareness of mathematical pattern and structure and emphasise the need for scaffolding awareness of mathematical pattern and structure through communication.

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来源期刊
Educational Studies in Mathematics
Educational Studies in Mathematics EDUCATION & EDUCATIONAL RESEARCH-
CiteScore
5.60
自引率
9.40%
发文量
65
期刊介绍: Educational Studies in Mathematics presents new ideas and developments of major importance to those working in the field of mathematics education. It seeks to reflect both the variety of research concerns within this field and the range of methods used to study them. It deals with methodological, pedagogical/didactical, political and socio-cultural aspects of teaching and learning of mathematics, rather than with specific programmes for teaching mathematics. Within this range, Educational Studies in Mathematics is open to all research approaches. The emphasis is on high-level articles which are of more than local or national interest.? All contributions to this journal are peer reviewed.
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