GRAPHIC CULTURE OF CONSTRUCTIVE MODELING OF FIGURES IN METRIC STEREOMETRY

IF 0.2 Q4 EDUCATION & EDUCATIONAL RESEARCH Mathematics and Informatics Pub Date : 2023-06-30 DOI:10.53656/math2023-3-6-gra
Ivan G. Lenchuk, Alla Prus
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引用次数: 0

Abstract

Two approaches for drawing of stereometric objects by a constructive method are presented using algorithms designed to help solve problems in the construction of correct, visual and easy-to-draw drawings. The first approach is based on operations borrowed from engineer drawing, where standardized axonometric projections guarantee the quality of drawings. The second one is based on the experience of many generations of teachers and practitioners. A list of methodological advice has been proposed. The analytical method of reasoning in computational problems is promoted, the method of combining with the image plane is established, which visualizes the way to the result, adds empiricism to the discipline. The presented statistical survey among mathematics teachers demonstrates their attitude to the constructive solution of stereometric problems. The advantages and disadvantages of teaching constructivism methods are highlighted. It has been established that the skills of qualitative drawings contribute to the formation of life competencies of pupils.
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立体几何学中图形构造造型的图形文化
提出了用构造法绘制立体物体的两种方法,这些方法使用的算法旨在帮助解决绘制正确、直观和易于绘制的图形的问题。第一种方法是基于工程师图纸的操作,其中标准化的轴测投影保证了图纸的质量。第二个是基于几代教师和实践者的经验。提出了一份方法建议清单。推广了计算问题的解析推理方法,建立了与图像平面相结合的方法,使结果的路径可视化,增加了学科的经验性。通过对数学教师的统计调查,可以看出教师对立体问题建设性解的态度。强调了建构主义教学方法的优缺点。它已经确定,定性绘图的技能有助于学生的生活能力的形成。
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来源期刊
Mathematics and Informatics
Mathematics and Informatics EDUCATION & EDUCATIONAL RESEARCH-
自引率
50.00%
发文量
40
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