学生教师学习数学建模时要考虑的设计原则

IF 0.3 Q4 EDUCATION, SCIENTIFIC DISCIPLINES
R. Durandt
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引用次数: 2

摘要

本文提出了学生数学教师在正式教育期间学习数学建模时应考虑的设计原则。Blum和Leiß的建模周期为解释建模过程提供了理论框架。学习数学建模和解决建模任务,同时培养积极的态度,并不容易实现。包括真实的例子和应用程序被视为世界各地数学课程的一个重要组成部分,但这在很大程度上取决于数学教师是否做好了教授建模的准备。实施了基于设计的研究的循环过程,以确定将数学建模纳入正规教育时应考虑的关键因素。来自南非一所公立大学的五十五名三年级学生教师参与了这项研究。实施了三个阶段,首先关注相关性(以需求分析为指导),其次通过两次迭代的设计和实施关注一致性和实用性,最后通过反思性分析和评估关注有效性。混合数据是通过一些定性工具和对数学建模的态度清单收集的。通过内容分析,监控学生的学习进度。通过SPSS分析的结果显示,他们对数学建模的兴趣和动机发生了显著的积极变化。学生教师需要通过正规教育获得足够的资源和机会,定期参加数学建模活动,培养解决建模任务的能力,并增强积极的态度。这项研究为有关教师数学建模专业发展的全球讨论增加了价值。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Design principles to consider when student teachers are expected to learn mathematical modelling
This article sets out design principles to consider when student mathematics teachers are expected to learn mathematical modelling during their formal education. Blum and Leiß’s modelling cycle provided the theoretical framework to explain the modelling process. Learning to teach mathematical modelling, and learning to solve modelling tasks, while simultaneously fostering positive attitudes, is not easy to achieve. The inclusion of real-life examples and applications is regarded as an essential component in mathematics curricula worldwide, but it largely depends on mathematics teachers who are well prepared to teach modelling. The cyclic process of design-based research was implemented to identify key elements that ought to be considered when mathematical modelling is incorporated in formal education. Fifty-five third-year student teachers from a public university in South Africa participated in the study. Three phases were implemented, focusing firstly on relevance (guided by a needs analysis), secondly on consistency and practicality via the design and implementation of two iterations, and lastly on effectiveness by means of reflective analysis and evaluation. Mixed data were collected via a selection of qualitative instruments, and the Attitudes Towards Mathematical Modelling Inventory. Through content analyses students’ progress was monitored. Results analysed through SPSS showed significant positive changes in their enjoyment and motivation towards mathematical modelling. Student teachers require sufficient resources and opportunities through their formal education to participate regularly in mathematical modelling activities, to develop competence in solving modelling tasks, and to augment positive attitudes. This study adds value to the global discussion related to teachers’ professional development regarding mathematical modelling.
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来源期刊
Pythagoras
Pythagoras EDUCATION, SCIENTIFIC DISCIPLINES-
CiteScore
1.50
自引率
16.70%
发文量
12
审稿时长
20 weeks
期刊介绍: Pythagoras is a scholarly research journal that provides a forum for the presentation and critical discussion of current research and developments in mathematics education at both national and international level. Pythagoras publishes articles that significantly contribute to our understanding of mathematics teaching, learning and curriculum studies, including reports of research (experiments, case studies, surveys, philosophical and historical studies, etc.), critical analyses of school mathematics curricular and teacher development initiatives, literature reviews, theoretical analyses, exposition of mathematical thinking (mathematical practices) and commentaries on issues relating to the teaching and learning of mathematics at all levels of education.
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