Re-envisioning our journey of learning in mathematics

IF 0.7 Q3 EDUCATION & EDUCATIONAL RESEARCH International Journal of Mathematical Education in Science and Technology Pub Date : 2023-10-11 DOI:10.1080/0020739x.2023.2257698

Ingrid M. Rewitzky

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Abstract

ABSTRACTWhen embarking on our journey of learning in mathematics, we may envision a linear path of modules for acquiring mathematical knowledge and understanding to reach a predetermined outcome. However, this is a partial representation since the outcome and path are developing and adapting and our learning is continuously emerging. In this paper, our journey of learning in mathematics is re-envisioned as a complex adaptive system with agents, internal diversity, internal redundancy, decentralised control, sources of disruption and sources of coherence. As will be illustrated through the adaptive cycle of a complex adaptive system, learning may emerge between phases of destabilisation and development. For this emergence there needs to be openness to embrace a disruption, reflection to interpret the disruption, connection to respond to the disruption and inspiration to grow and adapt in response to the disruption. There also needs to be a balance between individual and collective learning. Through navigating these cycles along our journey of learning there may be emergence of learning experiences within and beyond mathematics.KEYWORDS: Complexity adaptive systemlearninguniversity mathematics Disclosure statementNo potential conflict of interest was reported by the author.Additional informationFundingThis project was supported by the Stellenbosch University Teaching Fellowship Award .

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重新设想我们的数学学习之旅

摘要当我们开始数学学习之旅时，我们可以设想一个线性的模块路径来获取数学知识和理解，以达到预定的结果。然而，这只是部分表现，因为结果和路径是发展和适应的，我们的学习是不断出现的。在本文中，我们的数学学习之旅被重新设想为一个复杂的自适应系统，具有代理、内部多样性、内部冗余、分散控制、中断来源和一致性来源。正如将通过复杂适应系统的适应周期所说明的那样，学习可能出现在不稳定和发展阶段之间。对于这种出现，需要开放地接受颠覆，反思来解释颠覆，联系来应对颠覆，灵感来成长和适应颠覆。个人学习和集体学习之间也需要平衡。通过在我们的学习之旅中导航这些循环，可能会出现数学内外的学习经验。关键词:复杂性自适应系统学习大学数学披露声明作者未报告潜在利益冲突。本项目由斯泰伦博斯大学教学奖学金资助。

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来源期刊

International Journal of Mathematical Education in Science and Technology EDUCATION & EDUCATIONAL RESEARCH-

CiteScore

3.30

自引率

11.10%

发文量

123

期刊介绍： Mathematics is pervading every study and technique in our modern world, bringing ever more sharply into focus the responsibilities laid upon those whose task it is to teach it. Most prominent among these is the difficulty of presenting an interdisciplinary approach so that one professional group may benefit from the experience of others. The International Journal of Mathematical Education in Science and Technology provides a medium by which a wide range of experience in mathematical education can be presented, assimilated and eventually adapted to everyday needs in schools, colleges, polytechnics, universities, industry and commerce. Contributions will be welcomed from lecturers, teachers and users of mathematics at all levels on the contents of syllabuses and methods of presentation.