将批判性数学教育和行为网络理论引入数学教师教育的统计课程:阐明学生教师前景复杂性的行动者

Magnus Ödmo, Anna Chronaki, Lisa Bjorklund Boistrup
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摘要

在本文中,我们讨论了批判性数学教育(CME)和行动者网络理论(ANT)如何在以气候变化为主题背景的数学教师教育课程中结合起来研究统计学。我们认识到,当要求学生教师从主要是工具性的统计处理转向批判性的社会数据前景时,他们会遇到复杂的问题,因此,我们转而探讨当要求学生教师从批判性数学教育的角度想象教学时,他们所利用的行动者网络,正如 ANT 所理论的那样。为此,我们的研究以一系列访谈为基础,这些访谈对象是参加统计课程的学生教师,他们在课程中讨论了污染数据图表,并询问了他们作为未来批判性数学教师的角色。通过 ANT 分析转录的访谈,我们了解到学生教师的前景是如何被课程、社会正义、民主和源头批判等因素塑造的。基于以上所述,我们建议师范教育应邀请教师积极讨论在需要从继续教育角度看问题时所产生的复杂性。此举将使批判性数学教育本身具有批判性,从而培养学生教师驾驭这种复杂性,而不是忽视或反对这种复杂性。
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Bringing Critical Mathematics Education and Actor–Network Theory to a Statistics Course in Mathematics Teacher Education: Actants for Articulating Complexity in Student Teachers’ Foregrounds
In this paper, we discuss how critical mathematics education (CME) and actor–network theory (ANT) come together in a mathematics teacher education course that focuses on the thematic context of climate change to study statistics. Acknowledging the complexity that student teachers encounter when asked to move from a mainly instrumental treatment of statistics toward a critical foreground of data in society, we turn to explore the actant networks, as theorized by ANT, utilized by student teachers when asked to imagine teaching from a CME perspective. For this, our study is based on a series of interviews with student teachers who participated in a statistics course where pollution data graphs were discussed, inquiring about their role as future critical mathematics teachers. The transcribed interviews, analyzed through ANT, inform us as to how student teachers’ foregrounds are being shaped by actants such as the curriculum, social justice, democracy, and source critique, among others. Based on the above, we recommend that teacher education should invite active discussion of the complexity created when a CME perspective is required. This move would allow for a critical approach to critical mathematics education itself that could prepare student teachers to navigate, instead of ignoring or opposing, such complexity.
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