数学教育中的计算机建模

V. Krekić, Zolt Namestovski
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引用次数: 1

摘要

根据Aebli的操作方法(1963)和Bruner(1974)的表征理论,教学中思维过程的发展有以下几个阶段——抽象层次:对特定事物的操作(具体阶段)、符号表征(形象阶段)、符号表征(符号阶段)。现代信息技术有助于丰富教学过程,特别是在自然科学和数学以及生产和技术领域。模拟作为知识表示的一种新的可能性而出现。根据Guetzkow(1972)的说法,模拟是从相关方面对现实的一种可操作的表示。它是关于一个客观系统的模型,它本身是动态的。如果那个模型是物质的,那就是一个简单的模拟,如果它是抽象的,那就是一个反思实验,那就是一个计算机模拟。目前的工作涉及自然科学、数学、生产和技术教学中模拟方法的系统化和分类,特别回顾了计算机模拟和这种现代认知方法的地位和作用的范例表示。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Computer modelling in mathematics education
According to Aebli's operative method (1963) and Bruner's (1974) theory of representation the development of the process of thinking in teaching has the following phases - levels of abstraction: manipulation with specific things (specific phase), iconic representation (figural phase), symbolic representation (symbolic phase). Modern information technology has contributed to the enrichment of teaching and learning processes, especially in the fields of natural sciences and mathematics and those of production and technology. Simulation appears as a new possibility in the representation of knowledge. According to Guetzkow (1972) simulation is an operative representation of reality from a relevant aspect. It is about a model of an objective system, which is dynamic in itself. If that model is material it is a simple simulation, if it is abstract it is a reflective experiment, that is a computer simulation. This present work deals with the systematization and classification of simulation methods in the teaching of natural sciences and mathematics and of production and technology with special retrospective view on computer simulations and exemplar representation of the place and the role of this modern method of cognition.
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