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 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Physics in Higher Education</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Physics in Higher Education</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Физическое образование в вузах</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="print">1609-3143</issn>
   <issn publication-format="online">1607-2340</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">103801</article-id>
   <article-id pub-id-type="doi">10.54965/1609-3143-2025-31-4-127-133</article-id>
   <article-id pub-id-type="edn">kwuikp</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>Образование</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>Education</subject>
    </subj-group>
    <subj-group>
     <subject>Образование</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">From Algebraic Operations to Physical Meaning: Methods of Interpreting Formulas in Teaching Physics</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>От алгебраических операций к физическому смыслу: методика интерпретации формул в обучении физике</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-3428-7180</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Знаменский</surname>
       <given-names>Василий Серафимович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Znamenskiy</surname>
       <given-names>Vasiliy Serafimovich</given-names>
      </name>
     </name-alternatives>
     <email>znamenski@gmail.com</email>
     <bio xml:lang="ru">
      <p>кандидат физико-математических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>candidate of physical and mathematical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Городской университет Нью-Йорка</institution>
     <city>Нью-Йорк</city>
     <country>США</country>
    </aff>
    <aff>
     <institution xml:lang="en">The City University of New York</institution>
     <city>New York</city>
     <country>United States of America</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2025-12-31T00:00:00+03:00">
    <day>31</day>
    <month>12</month>
    <year>2025</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2025-12-31T00:00:00+03:00">
    <day>31</day>
    <month>12</month>
    <year>2025</year>
   </pub-date>
   <volume>31</volume>
   <issue>4</issue>
   <fpage>127</fpage>
   <lpage>133</lpage>
   <history>
    <date date-type="received" iso-8601-date="2025-09-02T00:00:00+03:00">
     <day>02</day>
     <month>09</month>
     <year>2025</year>
    </date>
   </history>
   <self-uri xlink:href="https://pinhe.moomfo.ru/en/nauka/article/103801/view">https://pinhe.moomfo.ru/en/nauka/article/103801/view</self-uri>
   <abstract xml:lang="ru">
    <p>В статье рассматривается методический приём, направленный на формирование у студентов умения выявлять физический смысл элементарных алгебраических выражений. Предлагается система упражнений, в которых исходным материалом выступают простейшие бинарные операции (сложение, вычитание, умножение, деление, возведение в степень). Студентам предлагается интерпретировать данные выражения в физическом контексте, то есть придумать задачу из области физики, решением которой могла бы служить данная формула. Такой подход способствует не только развитию алгоритмических навыков решения задач, но и формированию физической интуиции, умению устанавливать связь между абстрактным математическим аппаратом и реальными физическими процессами. Рассмотренные примеры демонстрируют многообразие возможных трактовок и подчеркивают значимость интеграции математики и физики в образовательном процессе.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>The article discusses a methodological approach aimed at developing students' ability to identify the physical meaning of elementary algebraic expressions. A system of exercises is proposed in which the source material is the simplest binary operations (addition, subtraction, multiplication, division, raising to a power). Students are asked to interpret these expressions in a physical context, that is, to come up with a problem from the field of physics, the solution to which could be this formula. This approach contributes not only to the development of algorithmic problem-solving skills but also to the formation of physical intuition, the ability to establish a connection between abstract mathematical apparatus and real physical processes. The examples considered demonstrate the diversity of possible interpretations and emphasize the importance of integrating mathematics and physics in the educational process.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>физический смысл</kwd>
    <kwd>алгебраические операции</kwd>
    <kwd>бинарные операции</kwd>
    <kwd>интерпретация формул</kwd>
    <kwd>обучение физике</kwd>
    <kwd>математические выражения</kwd>
    <kwd>критическое мышление</kwd>
    <kwd>физическая интуиция</kwd>
    <kwd>методика преподавания</kwd>
    <kwd>упражнения для студентов</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>physical meaning</kwd>
    <kwd>algebraic operations</kwd>
    <kwd>binary operations</kwd>
    <kwd>interpretation of formulas</kwd>
    <kwd>teaching physics</kwd>
    <kwd>mathematical expressions</kwd>
    <kwd>critical thinking</kwd>
    <kwd>physical intuition</kwd>
    <kwd>teaching methods</kwd>
    <kwd>exercises for students</kwd>
   </kwd-group>
   <funding-group>
    <funding-statement xml:lang="ru">нет</funding-statement>
    <funding-statement xml:lang="en">not</funding-statement>
   </funding-group>
  </article-meta>
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