Teachers’ noticing of proportional reasoning

IF 2.1 2区 教育学 Q1 EDUCATION & EDUCATIONAL RESEARCH Journal of Mathematics Teacher Education Pub Date : 2024-02-27 DOI:10.1007/s10857-024-09625-7
Julie M. Amador, David Glassmeyer, Aaron Brakoniecki
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Abstract

The importance of understanding what and how mathematics teachers notice is well documented, but more research is needed on content-specific noticing. In particular, knowing how teachers notice proportional reasoning, a vital topic spanning all grades of mathematics, could inform measures that support students’ proportional reasoning. We examined how teachers noticed when responding to two prompts (one student-focused and one teacher–student-interaction-focused) after watching a video of a middle grades proportional reasoning lesson. We analyzed the proportional reasoning reported from 13 elementary and 20 secondary prospective teachers and used cooccurrences along with noticing practices to describe how teachers noticed proportional reasoning and what aspects of proportional reasoning they noticed. Results indicate: (a) the two prompts resulted in differences in what and how participants noticed proportional reasoning, (b) participants were primarily descriptive and not interpretative when describing the proportional reasoning they noticed, and (c) the elementary and secondary prospective teachers both noticed similar aspects of proportional reasoning but showed differences in how the proportional reasoning cooccurred with the noticing practices. These findings reiterate the importance of the prompts used with teachers, the potential of using video to advance teachers’ noticing of proportional reasoning, and the methodological potential of using cooccurrences to examine teachers’ content-specific noticing.

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教师对比例推理的注意
了解数学教师注意到什么以及如何注意到的重要性已被充分证明,但还需要对特定 内容的注意进行更多的研究。特别是,了解教师如何注意到比例推理这一横跨各年级数学的重要课题,可以为支持学生比例推理的措施提供参考。我们研究了教师在观看中年级比例推理课程视频后,在回答两个提示(一个以学生为中心,一个以师生互动为中心)时是如何注意到的。我们分析了 13 名小学准教师和 20 名中学准教师的比例推理报告,并使用共现和注意实践来描述教师如何注意比例推理以及他们注意到比例推理的哪些方面。结果表明:(a) 两个提示导致参与者注意到比例推理的内容和方式的差异;(b) 参与者在描述他们注意到的比例推理时主要是描述性的,而不是解释性的;(c) 小学和中学准教师都注意到比例推理的相似方面,但在比例推理与注意实践的共现方面表现出差异。这些发现重申了对教师进行提示的重要性、利用视频促进教师注意比例推理的潜力,以及利用共现来研究教师对特定内容的注意的方法潜力。
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来源期刊
Journal of Mathematics Teacher Education
Journal of Mathematics Teacher Education EDUCATION & EDUCATIONAL RESEARCH-
CiteScore
5.40
自引率
9.50%
发文量
35
期刊介绍: The Journal of Mathematics Teacher Education (JMTE) is devoted to research into the education of mathematics teachers and development of teaching that promotes students'' successful learning of mathematics. JMTE focuses on all stages of professional development of mathematics teachers and teacher-educators and serves as a forum for considering institutional, societal and cultural influences that impact on teachers'' learning, and ultimately that of their students. Critical analyses of particular programmes, development initiatives, technology, assessment, teaching diverse populations and policy matters, as these topics relate to the main focuses of the journal, are welcome. All papers are rigorously refereed. Papers may be submitted to one of three sections of JMTE as follows: Research papers: these papers should reflect the main focuses of the journal identified above and should be of more than local or national interest. Mathematics Teacher Education Around the World: these papers focus on programmes and issues of national significance that could be of wider interest or influence. Reader Commentary: these are short contributions; for example, offering a response to a paper published in JMTE or developing a theoretical idea. Authors should state clearly the section to which they are submitting a paper. As general guidance, papers should not normally exceed the following word lengths: (1) 10,000 words; (2) 5,000 words; (3) 3,000 words. Maximum word lengths exclude references, figures, appendices, etc. Critiques of reports or books that relate to the main focuses of JMTE appear as appropriate.
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