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Application of STEM Technologies on the Example of the Problem of a Thread with a Load

Author

Listed:
  • Valery Ochkov

    (Department of Theoretical Bases of Heat Engineering, National Research University Moscow Power Engineering Institute, 111250 Moscow, Russia)

  • Inna Vasileva

    (Department of Mathematics, Military Educational and Scientific Center of the Air Force “N.E. Zhukovsky and Y.A. Gagarin Air Force Academy”, 394064 Voronezh, Russia)

  • Ekaterina Borovinskaya

    (Faculty of Mechanical Science and Engineering, Technische Universität Dresden, 01062 Dresden, Germany
    Saint-Petersburg State Institute of Technology, Technical University, 190013 St. Petersburg, Russia)

  • Wladimir Reschetilowski

    (Faculty of Mechanical Science and Engineering, Technische Universität Dresden, 01062 Dresden, Germany)

Abstract

This paper demonstrates the application of STEM technologies using the example of the problem of a thread with a load. As a training problem, parameter finding of a flexible inextensible thread with a load sliding along it, as well as with a fixed load, is considered. A mathematical model of a thread with a load is created without using simplifying assumptions such as a negligibly small mass of the thread, a thread with a small sag or a parabolic approximation of the thread form. When solving the problem, methods of analysis from various branches of mathematics, theoretical mechanics, physics, history of mathematics, as well as various tools of computer mathematical packages (Mathcad), are used. The reasonability of considering such tasks from the perspective of teaching effectiveness for first-year students in engineering as well as in physics and mathematics is proved. Promising educational tasks based on the investigated problem are considered.

Suggested Citation

  • Valery Ochkov & Inna Vasileva & Ekaterina Borovinskaya & Wladimir Reschetilowski, 2023. "Application of STEM Technologies on the Example of the Problem of a Thread with a Load," Mathematics, MDPI, vol. 11(12), pages 1-20, June.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:12:p:2755-:d:1173638
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    References listed on IDEAS

    as
    1. Eugeny Smirnov & Svetlana Dvoryatkina & Nikita Martyushev & Sergey Shcherbatykh, 2023. "Software Package to Support Students’ Research Activities in the Hybrid Intellectual Environment of Mathematics Teaching," Mathematics, MDPI, vol. 11(4), pages 1-22, February.
    2. Meng-Leong How, 2022. "Advancing Multidisciplinary STEM Education with Mathematics for Future-Ready Quantum Algorithmic Literacy," Mathematics, MDPI, vol. 10(7), pages 1-16, April.
    3. Salbiah Mohamad Hasim & Roslinda Rosli & Lilia Halim & Mary Margaret Capraro & Robert M. Capraro, 2022. "STEM Professional Development Activities and Their Impact on Teacher Knowledge and Instructional Practices," Mathematics, MDPI, vol. 10(7), pages 1-20, March.
    4. Valery Ochkov & Inna Vasileva & Konstantin Orlov & Julia Chudova & Anton Tikhonov, 2022. "Visualization in Mathematical Packages When Teaching with Information Technologies," Mathematics, MDPI, vol. 10(19), pages 1-21, September.
    5. Xiaohe Feng & Shibin Gao & Yang Song & Zeyao Hu & Long Chen & Tao Liang, 2023. "Static and Dynamic Analysis of Conductor Rail with Large Cross-Sectional Moment of Inertia in Rigid Catenary Systems," Energies, MDPI, vol. 16(4), pages 1-17, February.
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