Оn the implementation of a transdisciplinary approach in preparing future mathematics teachers

S. I. Кalinin, L. V. Pankratova
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Abstract

Introduction. The disparate study of certain areas and branches of knowledge, characteristic of the disciplinary approach, has largely lost its position, recognising the inevitability of interdisciplinary cooperation. At present, interdisciplinarity is already being comprehended at a new level, creating the prerequisites for the introduction of a transdisciplinary approach to solving complex problems, including in the educational sphere.Aim. The current research aims to present the transdisciplinary teaching means, which are relevant in the process of training future teachers of mathematics, and which are identified on the basis of an analysis of the content of education.Methodology and research methods. General scientific and empirical methods were used to develop the ideological basis of the study. The aforementioned methods allowed the authors to draw up a complete picture of the problem under study, to identify its patterns and trends, to understand the essence. The search and selection of mathematics subject content with transdisciplinary properties was based on a systematic and interdisciplinary approach. At the stage of testing the research hypothesis, the competency-based approach was decisive, and tactical tasks were solved by referring to the activity approach. In addition, the main provisions of the concepts of humanisation and humanitarisation of education, as well as the principles of fundamentalisation of mathematical education, were taken into account.Results and theoretical significance. The expediency of using inequalities and convex functions in the training of future mathematics teachers in the context of a transdisciplinary approach is substantiated. A phased description of the work carried out allows us to trace the methods of reflecting the modern scientific content of the relevant topics, conditions, means and expected results of pedagogical interaction. The theory and methods of teaching mathematics at the university are enriched with a qualitatively new vision of the educational potential of the concepts of inequality and a convex function.Practical significance. The introduction of inequalities and convex functions in the process of future mathematics teachers training at Vyatka State University made it possible to demonstrate the possibilities of a transdisciplinary approach in the development of students’ worldview and the formation of professionally significant students’ competencies. The presented means of implementing the transdisciplinary approach can also be comprehended in teaching students of other areas of training.
Оn在准备未来的数学教师时采用跨学科的方法
介绍。学科方法的特点是对某些领域和知识分支的不同研究,在很大程度上已经失去了它的地位,认识到跨学科合作的必然性。目前,跨学科已经在一个新的水平上得到理解,为采用跨学科方法解决复杂问题创造了先决条件,包括在教育领域。本研究旨在通过对教育内容的分析,提出与未来数学教师培养过程相关的跨学科教学手段。方法论和研究方法。采用一般的科学方法和经验方法来发展研究的思想基础。上述方法使作者能够描绘出所研究问题的完整图景,确定其模式和趋势,了解其本质。具有跨学科性质的数学学科内容的搜索和选择是基于系统和跨学科的方法。在检验研究假设的阶段,以能力为基础的方法是决定性的,战术任务是参考活动方法来解决的。此外,还考虑了教育的人性化和人性化概念的主要规定,以及数学教育的基本原则。结果及理论意义。在跨学科方法的背景下,在未来数学教师的培训中使用不等式和凸函数的权宜之计得到了证实。对所开展工作的阶段性描述使我们能够追踪反映相关主题、条件、手段和教学互动预期结果的现代科学内容的方法。该大学的数学教学理论和方法丰富了不平等和凸函数概念的教育潜力的定性新视野。现实意义。在维亚特卡国立大学未来数学教师培训过程中引入不等式和凸函数,使跨学科方法在培养学生世界观和形成专业重要学生能力方面的可能性成为可能。所提出的实施跨学科方法的方法也可以在其他培训领域的教学中得到理解。
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