Abstract:
The article deals with the problem of introducing cloud calculations
into 10th–11th graders’ training to solve optimization problems in the context
of the STEM-education concept. After analyzing existing programmes of
optional courses on optimization problems, the programme of the optional
course Optimization Problems has been developed and substantiated
implying solution of problems by the cloud environment CoCalc. It is
a routine calculating operation and not a mathematical model that is
accentuated in the programme. It allows considering more problems which
are close to reality without adapting the material while training 10th–11th
graders. Besides, the mathematical apparatus of the course which is partially
known to students as the knowledge acquired from such mathematics sections
as the theory of probability, mathematical statistics, mathematical analysis
and linear algebra is enough to master the suggested course. The developed
course deals with a whole class of problems of conventional optimization which
vary greatly. They can be associated with designing devices and technological
processes, distributing limited resources and planning business functioning as
well as with everyday problems of people. Devices, processes and situations
to which a model of optimization problem is applied are called optimization
problems. Optimization methods enable optimal solutions for mathematical
models. The developed course is noted for building mathematical models and
defining a method to be applied to finding an efficient solution.
Description:
1. Any Port In A Storm. The PuzzlOR. http://puzzlor.com/2017-
02_PortInAStorm.html (2017). Accessed 21 Oct 2018.
2. Bobylyev, D. Ye., Popel, M. V.: Pidtrymka samostiinoi roboty zasobamy
SageMathCloud pry navchanni kursu «Dyferentsialni rivniannia»
maibutnikh vchyteliv matematyky (Support for independent students’
work by tools SageMathCloud in the learning of “Differential equations”
for future mathematics teachers). New computer technology 15, 201–205
(2017).
3. Cell Towers. The PuzzlOR. http://puzzlor.com/2016-04_
CellTowers.html (2016). Accessed 21 Oct 2018.
4. Markova, O., Semerikov, S., Popel, M.: CoCalc as a Learning Tool
for Neural Network Simulation in the Special Course “Foundations of Mathematic Informatics”. In: Ermolayev, V., Su´arez-Figueroa, M. C.,
Yakovyna, V., Kharchenko, V., Kobets, V., Kravtsov, H., Peschanenko,
V., Prytula, Ya., Nikitchenko, M., Spivakovsky A. (eds.) Proceedings of
the 14th International Conference on ICT in Education, Research and
Industrial Applications. Integration, Harmonization and Knowledge
Transfer (ICTERI, 2018), Kyiv, Ukraine, 14–17 May 2018, vol. II:
Workshops. CEUR Workshop Proceedings 2104, 338–403. http://ceurws.org/Vol-2104/paper_204.pdf (2018). Accessed 30 Nov 2018.
5. Modlo, E. O., Semerikov, S. O.: Development of SageMath filter for
Moodle. New computer technology 12, 233–243 (2014).
6. Popel, M. V., Bobyliev, D. Ye.: Dyferentsiatsiia navchannia maibutnikh
vchyteliv matematyky kompleksnomu analizu zasobamy CoCalc
(Differentiation of student learning to complex analysis using CoCalc).
New computer technology 17, 192–200 (2019).
7. Popel, M. V.: Orhanizatsiia navchannia matematychnykh dystsyplin u
SageMathCloud (Organization of teaching mathematical disciplines in
SageMathCloud). Publishing Department of the Kryviy Rih National
University, Kryviy Rih (2016).
8. SageMath, Inc.: CoCalc — Collaborative Calculation in the Cloud.
https://cocalc.com (2019). Accessed 21 Mar 2019.
9. Semerikov, S. O., Shokaliuk, S. V.: Orhanizatsiia rozpodilenykh
obchyslen zasobamy MMS Sage (The organization of distributed
computing using MME Sage). Pedahohichni nauky: teoriia, istoriia,
innovatsiini tekhnolohii 2 (4), 338–345 (2010).
10. Semerikov, S. O., Teplyckyj, I. O.: Mobilne matematychne seredovyshhe
Sage: novi mozhlyvosti ta perspektyvy rozvytku (Mobile mathematical
environment Sage: a new features and development prospects). In:
Tezy dopovidej VII Vseukrainskoi naukovo-praktychnoi konferencii
“Informacijni tehnologii v osviti, nauci i tehnici” (ITONT-2010). vol. 2,
p. 71. Cherkaskyj derzhavnyj tehnologichnyj universytet, Cherkasy
(2010).
11. Shokaliuk, S. V., Markova, O. M., Semerikov, S. O.: SageMathCloud yak
zasib khmarnykh tekhnolohii kompiuterno-oriientovanoho navchannia
matematychnykh ta informatychnykh dystsyplin (SageMathCloud
as the Learning Tool Cloud Technologies of the Computer-Based
Studying Mathematics and Informatics Disciplines). In: Soloviov, V. M.
(ed.) Modeling in Education: State. Problems. Prospects, pp. 130–142.
Brama, Cherkasy (2017).