论文标题

基于询问的数学教育:进行高等教育改革的呼吁似乎没有道理

Inquiry-Based Mathematics Education: a call for reform in tertiary education seems unjustified

论文作者

Evans, Tanya, Dietrich, Heiko

论文摘要

在过去的十年中,已经做出了重大努力,以促进第三级基于询问的数学学习。基于调查的数学教育(IBME)运动在一些数学家中取得了强大的势头,吸引了大量资金,包括一些美国政府机构。这导致在许多州成功动员了区域财团,并团结了800多名数学教育从业人员,致力于改革本科教育。基于询问的学习的特征是基本前提,即应该允许学习者学习“新手”数学,而不会被教导。这个进步的想法是基于以下假设:最好通过吸引学习者参与与实践数学家类似的数学实践来推动学习者的水平:创建新的定义,猜想和证据 - 这样的方式,人们认为学习者被认为是发展“深度的数学理解”。但是,鉴于可用的证据和学习科学的理论进步,必须系统地审查从根本上改革数学教育的一致努力。为此,这项范围的评论旨在巩固认知科学和教育心理学的现有研究文献,并就基于探究的学习有效性发表了批判性评论。我们对与该主题有关的研究文章和书籍的分析表明,IBME倡导者进行重大改革的呼吁是没有道理的。具体而言,普遍的声称,如果没有教导学生,则没有得到证据的支持,即学生将学习得更好(并获得较高的概念理解)。关于IBME解决数学课堂中的公平问题的一般主张也不是一般的主张。

In the last decade, major efforts have been made to promote inquiry-based mathematics learning at the tertiary level. The Inquiry-Based Mathematics Education (IBME) movement has gained strong momentum among some mathematicians, attracting substantial funding, including from some US government agencies. This resulted in the successful mobilization of regional consortia in many states, uniting over 800 mathematics education practitioners working to reform undergraduate education. Inquiry-based learning is characterized by the fundamental premise that learners should be allowed to learn 'new to them' mathematics without being taught. This progressive idea is based on the assumption that it is best to advance learners to the level of experts by engaging learners in mathematical practices similar to those of practising mathematicians: creating new definitions, conjectures and proofs - that way learners are thought to develop 'deep mathematical understanding'. However, concerted efforts to radically reform mathematics education must be systematically scrutinized in view of available evidence and theoretical advances in the learning sciences. To that end, this scoping review sought to consolidate the extant research literature from cognitive science and educational psychology, offering a critical commentary on the effectiveness of inquiry-based learning. Our analysis of research articles and books pertaining to the topic revealed that the call for a major reform by the IBME advocates is not justified. Specifically, the general claim that students would learn better (and acquire superior conceptual understanding) if they were not taught is not supported by evidence. Neither is the general claim about the merits of IBME for addressing equity issues in mathematics classrooms.

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