Methodological Features of the Training Masters for Solving Mathematics Olympiad Problems

O. Shtonda, Oleksii Proskurnia, S. Biletska
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Abstract

The article summarizes the experience of training masters of mathematics for organizing and conducting Mathematics Olympiads for schoolchildren. The purpose of the article is to characterize and summarize the methodological features of the training masters of mathematics for the organization of Mathematics Olympiads for schoolchildren. Among the research methods used, the following were decisive: analysis and generalization of scientific and methodical sources for the theoretical justification of the highlighted problem, modeling, and synthesis of the obtained data. Conclusions. Various possibilities of implementing such training have been analysed by the authors, taking into account the realities of the current state of the educational system of Ukraine. The methodical features of teaching master's students in mathematics to solving and creating mathematics olympiad problems and discrete subjects for schoolchildren are considered in the article. The benefit of the article is that the numerous examples of the implementation of the «to solve a problem – to replicate problems» approach proposed by the authors are presented, and the methodological expediency of its use in the educational process is substantiated. Conclusions. The authors have singled out the promising directions for further research in this field: the creation of appropriate educational and methodological support for the implementation of the approach «learning to solve a problem - learning to replicate problems» within the framework of other content lines of the course «Mathematics Olympiads problems: creation and solution» in the training of masters in mathematics (logical, stochastic, cryptographic, etc.) at pedagogical higher education institutions; the implementation of elements of this approach to the system of practicing teachers professional development the acquaintance high school students who study mathematics in depth with the relevant methods. The indisputable interest is in the creation of masters’ practice-oriented developments, as the part of their educational and research work, aimed at other aspects of the school mathematics education fundamentalization.
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奥数解题训练大师的方法特征
本文总结了组织开展小学生数学奥林匹克竞赛培养数学高手的经验。本文的目的是描述和总结学生奥林匹克数学竞赛组织的数学训练大师的方法特点。在使用的研究方法中,以下是决定性的:对突出问题的理论论证的科学和方法来源的分析和概括,建模和获得的数据的综合。结论。作者在考虑到乌克兰教育制度现状的情况下,分析了实施这种培训的各种可能性。本文探讨了数学硕士生解决和创设奥数题和离散题的教学方法特点。这篇文章的好处是,作者提出的“解决问题-复制问题”方法的许多例子都得到了实现,并且证实了在教育过程中使用该方法的方法学上的权宜之计。结论。作者指出了在这一领域进一步研究的有希望的方向:在课程“奥林匹克数学问题”的其他内容线的框架内,为“学习解决问题-学习复制问题”的方法的实施提供适当的教育和方法支持:在高等教育教育机构培养数学硕士(逻辑、随机、密码学等)中的“创造与解决”;本方法的实施要素是对系统实践教师专业发展的认识,对高中生深入学习数学具有相关的方法。无可争议的兴趣在于培养硕士的实践性发展,作为其教育和研究工作的一部分,旨在将学校数学教育的其他方面根底化。
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