Mathematical discussion in classrooms as a technologically-supported activity fostering participation and inclusion

IF 3.4 2区 教育学 Q1 EDUCATION & EDUCATIONAL RESEARCH
Chiara Giberti, Ferdinando Arzarello, Silvia Beltramino, Giorgio Bolondi
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Abstract

Whole-class mathematical discussion in a problem-solving activity is recognized as a powerful pedagogical activity but also a challenge for teachers who must consider several difficulties that learners might face, particularly in terms of an overload of Working Memory and Executive Functions. This study investigates how the use of a digital platform (Padlet) can support participatory and inclusive mathematical classroom discussion. We proposed a teaching experiment based on graphical tasks anticipating integral calculus to grade 13 students, and we examined how the use of the digital platform plays a role in the construction and interpretation of new mathematical objects emerging from the activity. The use of Instrumental Genesis and Double Instrumental Genesis frameworks allowed us to make the affordances of the tool emerge. As a result, we got evidence of how mathematical discussion may develop as a network of interactions, feedback, and connection of input and discuss examples of how active participation and inclusion are enhanced by the tool affordances. Indeed, the digital platform allowed easy interaction, with many ways to represent and express the ongoing evolution of personal and shared meanings and the possibility to manage the time of the activity. This fostered students’ participation and students which did not participate in previous discussions were actively engaged in it.

Abstract Image

课堂上的数学讨论是一项由技术支持的活动,可促进参与和包容
在解决问题的活动中进行全班数学讨论被认为是一种强有力的教学活动,但对教师来说也是一种挑战,因为教师必须考虑到学习者可能面临的一些困难,特别是工作记忆和执行功能的超负荷。本研究探讨了如何利用数字平台(Padlet)支持参与性和包容性数学课堂讨论。我们向 13 年级的学生提出了一个基于图形任务的教学实验,预设了积分微积分,并研究了数字平台的使用如何在构建和解释活动中出现的新数学对象方面发挥作用。工具创世纪和双重工具创世纪框架的使用使我们得以了解工具的可承受性。因此,我们获得了数学讨论如何发展为互动、反馈和输入连接网络的证据,并讨论了工具的功能如何增强积极参与和包容性的例子。事实上,数字平台允许轻松互动,有许多方法来表示和表达个人和共同意义的不断演变,并有可能管理活动的时间。这促进了学生的参与,以前没有参加过讨论的学生也积极参与其中。
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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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