Analyzing elementary students’ access to cognitive-oriented positions in mathematics

IF 0.5 Q4 EDUCATION & EDUCATIONAL RESEARCH International Electronic Journal of Mathematics Education Pub Date : 2024-02-10 DOI:10.29333/iejme/14191
Tye G. Campbell, Haleigh Sears
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Abstract

The effectiveness of group problem-solving in mathematics depends on the extent to which meaningful participation is distributed across all group members. One way to explore how participation is distributed within groups is by examining how students are positioned within group interactions. In this study, we explore the social instructional factors that cause elementary students to move in and out of positions that support cognitive engagement during collaborative problem-solving in mathematics. Using a case study analysis of three elementary students working in a group, we found five social instructional factors that caused students to move in and out of cognitive-oriented positions during group work in mathematics: (1) building an ally through common language, (2) physical access to the chalkboard and resources, (3) tone of voice, (4) teacher intervention, and (5) contestation from peers. The findings promote implications for effectively facilitating group work in mathematics.
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分析小学生进入数学认知导向阵地的情况
数学小组问题解决的有效性取决于有意义的参与在小组所有成员中的分布程度。探究小组内参与分布情况的一种方法是研究学生在小组互动中的位置。在本研究中,我们探讨了导致小学生在合作解决数学问题的过程中进入和退出支持认知参与的位置的社会教学因素。通过对三名小学生小组合作的案例研究分析,我们发现了导致学生在数学小组合作过程中进出认知导向位置的五个社会教学因素:(1) 通过共同语言建立盟友关系;(2) 实际接触黑板和资源的机会;(3) 说话的语气;(4) 教师干预;(5) 来自同伴的质疑。研究结果为有效促进数学小组合作学习提供了启示。
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