Geometric Modelling in Distance Teaching System

Aleksey Boykov

doi:10.12737/8295

GEOMETRIC MODELLING IN DISTANCE TEACHING SYSTEM Geometric Modelling in Distance Teaching System

АА Аа

Published in Geometry & Graphics · Volume 2, Issue 4 · Pages 34–42 · Rubric: Methodical questions of teaching

DOI: https://doi.org/10.12737/8295

Received: 09.12.2014 Accepted: 09.12.2014 Published: 09.12.2014 Language of publication: ru-RU

Authors

Aleksey Boykov

Ivanovo State Power University named after V.I. Lenin (ISPU) Associate Professor · Russian Federation

ABSTRACT

Problems of descriptive geometry as educational subject are analysed. Arguments in favour of descriptive geometry are given. Disadvantages of CAD systems at decision of graphical problems are shown. Conclusions about the absence of a suitable computer tool corresponding to a method of descriptive geometry are made. Examples of such tools for mathematics and physics are given. Principles for the development of the computer tools for descriptive geometry are formulated. Two development stages are defined: the first is creating graphical training tools for individual elements of descriptive geometry course and the second is development of geometric modelling system on the basis of images. Creation of graphic training tool with use SVG and JavaScript for remote learning system is shown. General principles of functioning of geometric modelling system for remote learning system are described.

KEYWORDS

geometric modelling, descriptive geometry, remote learning system, graphic training program tools, SVG, JavaScript.

Text

В многочисленных докладах и статьях можно найти подробный анализ состояния начертательной геометрии как дисциплины [20; 28], свидетельствующий о ее глубоком кризисе. В некоторых случаях высказываются даже предложения о ее отмене и замене компьютерным геометрическим моделированием в соответствующих пакетах [21; 24; 27].

Все это происходит на фоне сокращения часов геометрической подготовки в средней и высшей школе [26], широкого внедрения методов параметрического твердотельного моделирования, достаточно эффективных при проектировании деталей и сборок и при подготовке технической документации для производства [1]. При этом главный инструмент начертательной геометрии остается фактически неизменным со времен Г. Монжа — циркуль и карандаш более удобны при решении задач дисциплины, чем графические пакеты.

Аргументы в защиту начертательной геометрии можно привести следующие: 1) восприятие собственно трехмерной информации не является естественным для человека, зрительный аппарат которого построен по принципу двух изображений [14]; 2) несмотря на развитие современных компьютерных систем трехмерного моделирования, для управления моделью используются плоские (экранные) изображения, построенные в соответствии с фундаментальными принципами начертательной геометрии [14]; 3) начертательная геометрия — это основа не только для чтения чертежа, но и для решения задачи выбора оптимального изображения; 4) задачи начертательной геометрии — построение проекций, фигур сечений, разверток — являются частными случаями более общей задачи — исследования модели большей размерности при помощи моделей меньшей размерности, снижение размерности актуально при анализе многомерных объектов [16] и здесь опыт снижения размерности будет весьма полезен; 5) курс начертательной геометрии и инженерной графики — первый из проектного цикла и выполняет, кроме прочего, воспитательную и адаптационную функции; 6) на производстве в настоящее время используется большое количество чертежей, современный специалист должен уметь их читать; 7) предмет «Начертательная геометрия» включен в образовательные стандарты.

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Zamestitel' glavnogo redaktora, chlen redsoveta

Vladimir Vyshnyepolskiy

Glavnyy redaktor

A. A. Ishchenko

Vypuskayuschiy redaktor

Dar'ya Sklyankina

501@infra-m.ru

Deputy editor-in-chief, member of the editorial Board

N. Sal'kov

nikolaysalkov@mail.ru

GOST

Boykov A. Geometric Modelling in Distance Teaching System // Geometry & Graphics. 2015. no. 4. pp. 34-42. DOI: https://doi.org/10.12737/8295. (Date of access 13.11.2026).

MLA

Aleksey Boykov. "Geometric Modelling in Distance Teaching System." Geometry & Graphics 2.4 (2015): 34-42. DOI: https://doi.org/10.12737/8295.

APA

Boykov A. (2015). Geometric Modelling in Distance Teaching System. Geometry & Graphics, 2(4), 34-42. https://doi.org/10.12737/8295

Chicago

Aleksey Boykov. "Geometric Modelling in Distance Teaching System." Geometry & Graphics 2, no. 4 (2015): 34-42. https://doi.org/10.12737/8295.

WIKI

{{cite journal | author = Boykov A. | title = Geometric Modelling in Distance Teaching System | journal = Geometry & Graphics | year = 2015 | volume = 2 | issue = 4 | pages = 34-42 | doi = 10.12737/8295 }}

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