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 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Geometry &amp; Graphics</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Geometry &amp; Graphics</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Геометрия и графика</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="print">2308-4898</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">44891</article-id>
   <article-id pub-id-type="doi">10.12737/2308-4898-2021-9-1-29-38</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>Научные проблемы геометрии</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>Scientific problems of geometry</subject>
    </subj-group>
    <subj-group>
     <subject>Научные проблемы геометрии</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">Wolfram Mathematica Functional Possibilities for Curved Lines and Surfaces Visualization</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Функциональные возможности среды Wolfram Mathematica для визуализации кривых линий и поверхностей</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Игнатьев</surname>
       <given-names>С. А.</given-names>
      </name>
      <name xml:lang="en">
       <surname>Ignat'ev</surname>
       <given-names>S. A.</given-names>
      </name>
     </name-alternatives>
     <bio xml:lang="ru">
      <p>кандидат технических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>candidate of technical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Фоломкин</surname>
       <given-names>А. И.</given-names>
      </name>
      <name xml:lang="en">
       <surname>Folomkin</surname>
       <given-names>A. I.</given-names>
      </name>
     </name-alternatives>
     <bio xml:lang="ru">
      <p>кандидат технических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>candidate of technical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Муратбакеев</surname>
       <given-names>Э. Х.</given-names>
      </name>
      <name xml:lang="en">
       <surname>Muratbakeev</surname>
       <given-names>E. H.</given-names>
      </name>
     </name-alternatives>
     <bio xml:lang="ru">
      <p>кандидат технических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>candidate of technical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-3"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Санкт-Петербургский горный университет</institution>
     <city>Санкт-Петербург</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">St. Petersburg Mining University</institution>
     <city>Санкт-Петербург</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Санкт-Петербургский горный университет</institution>
    </aff>
    <aff>
     <institution xml:lang="en">Saint Petersburg Mining University</institution>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-3">
    <aff>
     <institution xml:lang="ru">Санкт-Петербургский горный университет</institution>
     <city>Санкт-Петербург</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">St. Petersburg Mining University</institution>
     <city>St. Petersburg</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <volume>9</volume>
   <issue>1</issue>
   <fpage>29</fpage>
   <lpage>38</lpage>
   <history>
    <date date-type="received" iso-8601-date="2021-07-06T00:00:00+03:00">
     <day>06</day>
     <month>07</month>
     <year>2021</year>
    </date>
   </history>
   <self-uri xlink:href="https://zh-szf.ru/en/nauka/article/44891/view">https://zh-szf.ru/en/nauka/article/44891/view</self-uri>
   <abstract xml:lang="ru">
    <p>В статье говорится о том, что современные условия в которых находится система образования и бурное развитие IT-технологий требуют постоянного совершенствования методических материалов с учетом полного функционала актуального программного обеспечения. Приводятся примеры программ необходимых для подготовки методических материалов для качественного проведения занятий. Целью статьи являлось выявление дидактического потенциала среды Wolfram Мathematica при проведении занятий по дисциплинам геометро-графического профиля в техническом вузе. В работе проведен анализ литературных источников как отечественных, так и иностранных по применению системы Wolfram Мathematica в науке и преподавании различных дисциплин. Показано, что сфера охвата использования программы весьма широкая, фактически всеобъемлющая и требует дополнительного и глубокого изучения. Приводятся примеры использования Wolfram Мathematica в математике, физике, химии, геометрии, робототехнике, вирусологии, гуманитарных науках. В статье приведены примеры педагогического проектирования имитационных моделей для электронного курса по начертательной геометрии в системе Moodlе. Приводится пример кода, написанного в среде Wolfram Мathematica. Представлены разработанные при проектировании интерактивные модели, позволяющие пользователю изменять параметры построенных кривых и поверхностей. Определены некоторые функциональные возможности системы и выявлен дидактический потенциал Wolfram Мathematica для преподавания дисциплин геометро-графического профиля. Рассмотрены аналогичные модели других авторов, которые можно использовать в учебном процессе для повышения наглядности излагаемого на занятиях материала. В заключении указывается на то, что интерактивная визуализация по дисциплине «Начертательная геометрия», совместно с классическими приемами работы существенно обогащает содержание геометрического образования.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>The paper states that the current conditions in which the education system is located, and the rapid development of IT require constant improvement of methodological materials, taking into account the full capacity of the current software. Examples of programs necessary for preparation of methodological materials for high-quality classes are given. The purpose of the paper was to identify the Wolfram Mathematica didactic potential when conducting classes in the disciplines of the geometric and graphic profile at a technical high educational institution. In this paper has been performed analysis of literature sources both domestic and foreign ones on the Wolfram Mathematica system application in science and teaching of various disciplines. It has been shown that the program use scope is very wide, in fact, it is comprehensive and requires additional and in-depth study. Examples of Wolfram Mathematica using in mathematics, physics, chemistry, geometry, robotics, virology, and the humanities are given. In the paper have been provided examples for pedagogical design of simulation models for an electronic course on descriptive geometry in the Moodle system. An example of code written in the Wolfram Mathematica is provided. Interactive models developed during the design are presented, which allow the user to change the constructed curves and surfaces’ parameters. Have been defined some functional capabilities of the system, and has been revealed the Wolfram Mathematica didactic potential for teaching geometric and graphic disciplines. Have been considered other authors’ similar models, which can be used in the educational process to increase the clarity of the material presented in the classroom. In conclusion it is pointed out that interactive visualization in the &quot;Descriptive Geometry&quot; discipline, together with classical working practices, significantly enriches the content of geometric education.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>Wolfram Мathematica</kwd>
    <kwd>начертательная геометрия</kwd>
    <kwd>дидактический потенциал</kwd>
    <kwd>Moodle</kwd>
    <kwd>IT-технологии</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>Wolfram Mathematica</kwd>
    <kwd>descriptive geometry</kwd>
    <kwd>didactic potential</kwd>
    <kwd>Moodle</kwd>
    <kwd>IT</kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <p></p>
 </body>
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