RESEARCH PAPER
Didactic Potential of Using Mobile Technologies in the Development of Mathematical Thinking
 
More details
Hide details
1
Vyatka State University, Kirov, RUSSIA
 
2
Kazan (Volga region) Federal University, Kazan, RUSSIA
 
3
Financial University under the Government of the Russian Federation, Moscow, RUSSIA
 
4
Transbaikal State University, Chita, RUSSIA
 
5
Pacific State University, Khabarovsk, RUSSIA
 
6
I.M. Sechenov First Moscow State Medical University (Sechenov University), Moscow, RUSSIA
 
 
Online publication date: 2020-02-15
 
 
Publication date: 2020-02-15
 
 
Corresponding author
Elena V. Soboleva   

Vyatka State University, Kirov, RUSSIA
 
 
EURASIA J. Math., Sci Tech. Ed 2020;16(5):em1842
 
KEYWORDS
ABSTRACT
The relevance of the research is due to additional opportunities to improve the quality of teaching mathematics in a digital school, support professional orientation and self-determination of young people through the inclusion of mobile services and platforms in mathematical activities. The research problem is determined by the following contradictions: 1) between the capabilities of modern digital technologies in terms of improving the quality of mathematical training, the formation of universal skills required by the economy of the future, and the model implemented by educational institutions; 2) between the need to provide resources for solving problems of a socio-economic nature in the conditions of the fourth industrial revolution and the insufficient level of mathematical literacy of graduates. The purpose of this research is to study the didactic potential of mobile technologies to support mathematical education in a digital school while preparing specialists of the future. Moreover, the research offers a methodological approach to organize project activities of developing applications in terms of increasing the effectiveness of teaching mathematics and vocational guidance. The article clarifies the concepts “mathematical thinking”, “mathematical literacy” for a digital school and describes the didactic principles of incorporating mobile resources into the educational space which increase the efficiency of training engineers of the future, support vocational guidance and self-determination. The author offers methodological methods and recommendations for organizing creative interdisciplinary project activities in order to develop mobile applications that contribute to the formation of qualities and skills forming the basis of mathematical thinking. The materials of the article can be used: firstly, to ensure the personalization of mathematical training in the course of creative, interdisciplinary, cognitive research activities of students while developing mobile applications, social integration and vocational guidance; secondly, to change the concept of mathematical education at school; thirdly, to improve the implemented model of education based on the traditional trajectory "preschool education-school-university-additional education" in the context of the new requirements of business, society, and the state for the training of highly qualified professionals in the professions of the future.
 
REFERENCES (65)
1.
Alexandrov, D., Ivaniushina, V., & Simanovsky, D. (2017). Online Educational Resources for Schoolchildren and the Digital Divide. Voprosy Obrazovaniya, Educational Studies Moscow, 3, 183-201. https://doi.org/10.17323/1814-....
 
2.
Buteau, C., Sacristán, A. I., & Muller, E. (2019). Roles and Demands in Constructionist Teaching of Computational Thinking in University Mathematics. Constructivist Foundations, 14(3), 294-309.
 
3.
Catarino, P., Vasco, P., Lopes, J., Silva, H., & Morais, E. (2019). Cooperative learning on promoting creative thinking and mathematical creativity in higher education. REICE.Revista Iberoamericana Sobre Calidad, Eficacia y Cambio En Educacion, 17(3), 5-22.
 
4.
Chang, M., Chen, C.-T., Wu, K.-H., & Yu, P.-S. (2019). Conversation Quest in MEGA World (Multiplayer Educational Game for All). Foundations and Trends in Smart Learning. Singapore: Springer. https://doi.org/10.1007/978-98....
 
5.
De Corte, E. (2019). Learning Design: Creating Powerful Learning Environments for Self-Regulation Skills. Voprosy Obrazovaniya / Educational Studies Moscow, 4, 30-46. https://doi.org/10.17323/18149....
 
6.
Del Río, L. S., Sanz, C. V., & Búcari, N. D. (2019). Incidence of a hypermedia educational material on the teaching and learning of mathematics. Journal of New Approaches in Educational Research, 8(1), 50-57. https://doi.org/10.7821/naer.2....
 
7.
Dvoryatkina, S. N., Karapetyan, V. S., Dallakyan, A. M., Rozanova, S. A., & Smirnov, E. I. (2019). Synergetic effects manifestation by founding complexes deployment of mathematical tasks on the chessboard. Problems of Education in the 21st Century, 77(1), 8-21. https://doi.org/10.33225/pec/1....
 
8.
Fahuzan, K., & Santosa, R.H. (2018). Gender differences in motivation to learn math using role play game in smartphone. Paper presented at the Journal of Physics: Conference Series, 1097(1). https://doi.org/10.1088/1742-6....
 
9.
Filatova, M.N., Sheinbaum, V.S., & Schedrovitsky, P.G. (2018). Ontology of competency “ability to work in a team” and approaches to its development in an engineering university. Higher Education in Russia, 27(6), 71–82.
 
10.
Fouze, A. Q., & Amit, M. (2018). Development of Mathematical Thinking through Integration of Ethnomathematic Folklore Game in Math Instruction. Eurasia Journal of Mathematics, Science and Technology Education, 14(2), 617-630. https://doi.org/10.12973/ejmst....
 
11.
Fritsch, M., & Wyrwich, M. (2019). Regional Emergence of Start-Ups in Information Technologies: The Role of Knowledge, Skills and Opportunities. Foresight and STI Governance, 13(2), 62–71. https://doi.org/10.17323/2500-....
 
12.
Galimova, E., Konysheva, A., Kalugina, O., & Sizova, Z. (2019). Digital Educational Footprint as a Way to Evaluate the Results of Students’ Learning and Cognitive Activity in the Process of Teaching Mathematics. Eurasia Journal of Mathematics, Science and Technology Education, 15(8), 143-150. https://doi.org/10.29333/ejmst....
 
13.
Gault, F. (2019). User Innovation in the Digital Economy. Foresight and STI Governance, 13(3), 6-12. https://doi.org/10.17323/2500-....
 
14.
Ghazali, E.M., Mutum, D.S., & Woon, M.Y. (2019). Multiple sequential mediation in an extended uses and gratifications model of augmented reality game Pokémon Go. Internet Research, 29(3), 504-528. https://doi.org/10.1108/IntR-1....
 
15.
Gut, A., & Mirski, R. (2018). Language as a Necessary Condition for Complex Mental Content: A Review of the Discussion on Spatial and Mathematical Thinking. Roczniki Filozoficzne, 66(3), 33-56. https://doi.org/10.18290/rf.20....
 
16.
Hamada, M., & Hasan, M. (2017). An Interactive Learning Environment for Information and Communication Theory. EURASIA Journal of Mathematics, Science and Technology Education, 13(1). https://doi.org/10.12973/euras....
 
17.
Hamid, S., Ijab, M. T., Sulaiman, H., Md. Anwar, R., & Norman, A. A. (2017). Social media for environmental sustainability awareness in higher education. International Journal of Sustainability in Higher Education, 18(4), 474-491. https://doi.org/10.1108/IJSHE-....
 
18.
Harjo, B., Kartowagiran, B., & Mahmudi, A. (2019). Development of critical thinking skill instruments on mathematical learning high school. International Journal of Instruction, 12(4), 149-166. https://doi.org/10.29333/iji.2....
 
19.
Hill, V., & Knutzen, K.B. (2017). Virtual world global collaboration: An educational quest. Information and Learning Science, 118(10), 547-565. https://doi.org/10.1108/ILS-02....
 
20.
Hunt, M.G., Marx, R., Lipson, C., & Young, J. (2018). No More FOMO: Limiting Social Media Decreases Loneliness and Depression. Journal of Social and Clinical Psychology, 37(10), 751-768. https://doi.org/10.1521/jscp.2....
 
21.
Janelli, M. (2018). E-Learning in Theory, Practice, and Research. Voprosy Obrazovaniya, Educational Studies Moscow, 4, 81-98. https://doi.org/10.17323/1814-....
 
22.
Kaplunovich, I. Ya., & Petukhova, T. A. (1998). Five substructures of mathematical thinking: how to identify and use them in teaching. Math at school, 5, 45–48.
 
23.
Karabelskaya, I. V. (2017). The use of digital technology in the educational process of higher education. Bulletin of USTU, 1(19), 127-131.
 
24.
Kholodnaya, M. A., & Gelfman, E. G. (2016). Development-focused educational texts as a basis for learners’ intellectual development in studying mathematics (DET technology). Psychology in Russia: State of the Art, 9(3), 24-37. https://doi.org/10.11621/pir.2....
 
25.
Kuzminov, Y., Sorokin, P., & Froumin, I. (2019). Generic and Specific Skills as Components of Human Capital: New Challenges for Education Theory and Practice. Foresight and STI Governance, 13(2), 19-41. https://doi.org/10.17323/2500-....
 
26.
Lagunov, A., & Podorojnyak, N. (2017). The research of the complex of alternative energy to power the satellite container. IEEE EUROCON 2017 -17th International Conf. on Smart Technologies, 1, 370-375. https://doi.org/10.1109/EUROCO....
 
27.
Laso Salvador, S., Ruiz Pastrana, M., & Marbán Prieto, J. M. (2019). Impacto de un programa de intervención metacognitivo sobre la Conciencia Ambiental de docentes de Primaria en formación inicial. Revista Eureka Sobre Enseñanza y Divulgación de Las Ciencias., 16(2), 1-16.
 
28.
Lee, M. Y. (2018). Further Investigation into the Quality of Teachers’ Noticing Expertise: A Proposed Framework for Evaluating Teachers’ Models of Students’ Mathematical Thinking. Eurasia Journal of Mathematics, Science and Technology Education, 14(11), em1570. https://doi.org/10.29333/ejmst....
 
29.
Li, N., Mok, I.A.C., & Cao, Y. (2019). The evolution of mathematical thinking in chinese mathematics education. Mathematics, 7(3), 396-411. https://doi.org/10.3390/math70....
 
30.
Malkawi, E., Alhadrami, S., & Aljabri, A. (2019). Building an interactive mobile application to enhance students’ problem solving skills in higher education physics. Paper presented at the CSEDU 2019 - Proceedings of the 11th International Conference on Computer Supported Education, 2 550-555. https://doi.org/10.5220/000778....
 
31.
Mokretsov, R. M., & Zaslavskiy, M. M. (2018). Platform architecture for development of mobile applications with outdoor-quests. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 3, 511-520. https://doi.org/10.17586/2226-....
 
32.
Mora-Luis, C.E., & Martin-Gutierrez, J. (2020). The Change of Educational Processes, Learning and Teaching in Engineering Education. Eurasia Journal of Mathematics, Science and Technology Education, 16(3). https://doi.org/10.29333/ejmst....
 
33.
More, M. (2018). Mathematics and engineering in real life through mathematical competitions. International Journal of Mathematical Education in Science and Technology, 49(2), 305-321. https://doi.org/10.1080/002073....
 
34.
Nagornaya, V. O. (2015). The development of mathematical thinking at school. Concept: scientific journal, 21, 76-80.
 
35.
Nissen, V., Lezina, T., & Saltan, A. (2018). The Role of IT-Management in the Digital Transformation of Russian Companies. Foresight and STI Governance, 12(3), 53-61. https://doi.org/10.17323/2500-....
 
36.
Osipova, S. I., Gafurova, N. V., & Rudnitsky, E. A. (2019). Formation of Soft skills in the conditions of social and public practices of students in the Implementation of the educational program in the ideology of the CDIO International initiative. Perspectives of Science and Education, 40(4), 91-101. https://doi.org/10.32744/pse.2....
 
37.
Pantseva, E. Yu., Toisheva, O. A., & Borisova, E. A. (2014). Mathematical thinking is the basis of professional thinking. Humanities, socio-economic and social sciences, 4, 205-207.
 
38.
Perelet, R. A. (2019). Environmental Issues in a Digital Economy. The World of New Economy, 12(4), 39-45. https://doi.org/10.26794/2220-....
 
39.
Perminov, E. A., Gadjiev, D. D., & Abdurazakov, M. M. (2019). About relevance of fundamentalisation of mathematical training of students of the pedagogical directions during the digital era. Obrazovanie i Nauka, 21(5), 86-111. https://doi.org/10.17853/1994-....
 
40.
Petko, D., Schmid, R., Müller, L., & Hielscher, M. (2019). Metapholio: A Mobile App for Supporting Collaborative Note Taking and Reflection in Teacher Education. Technology, Knowledge and Learning, 24(4), 699-710. https://doi.org/10.1007/s10758....
 
41.
Ponomarev, A., & Dezhina, I. (2016). Approaches to the Formulation of Russia’s Technological Priorities. Foresight and STI Governance, 10(1), 7-15. https://doi.org/10.17323/1995-....
 
42.
Radović, S., Marić, M., & Passey, D. (2019). Technology enhancing mathematics learning behaviours: Shifting learning goals from “producing the right answer” to “understanding how to address current and future mathematical challenges”. Education and Information Technologies, 24(1), 103-126. https://doi.org/10.1007/s10639....
 
43.
Raman, M. (2003). Key ideas: What are they and how can they help us understand how people view proof. Educational studies in mathematics, 52(3), 319-325. https://doi.org/10.1023/A:1024....
 
44.
Ramdani, R., Syamsuddin, A., & Sirajuddin, S. (2019). Development of Mathematical Module-Problem Solving Approach to Train Student’s Reflective Thinking. Pedagogical Research, 4(4), em0040. https://doi.org/10.29333/pr/58....
 
45.
Roshchina, Y. M., Roshchin, S. Yu., & Rudakov, V. N. (2018). The Demand for Massive Open Online Courses (MOOC): Evidence from Russian Education. Voprosy Obrazovaniya. Educational Studies Moscow, 1, 174-199. https://doi.org/10.17323/1814-....
 
46.
Saritas, O. (2013). Human Enhancement Technologies: Future Outlook and Challenges. Foresight-Russia, 7, 6–13. Retrieved from https://foresight-journal.hse.....
 
47.
Sayed, F. (2017). ICT, mathematics and critical thinking. Turkish Online Journal of Educational Technology, December Special Issue ITEC, 383-385.
 
48.
Schiptsova T. A., Schiptsova A. V., & Mustafina D. A. (2012). Mathematical thinking as the basis of engineering education. Advances in Modern Natural Sciences, 5, 83-84. Retrieved on 14 January 2020 from.
 
49.
Scholtz, B., Burger, C., & Zita, M. (2016). A Social Media Environmental Awareness Campaign to Promote Sustainable Practices in Educational Environments. В J. Marx Gomez, M. Sonnenschein, U. Vogel, A. Winter, B. Rapp, & N. Giesen (Ed.), Advances and New Trends in Environmental and Energy Informatics (pp. 355–369). London: Springer International Publishing. https://doi.org/10.1007/978-3-....
 
50.
Shulgina, T. A., Ketova, N. A., Kholodova, K. A., & Severinov, D. A. (2018). Motivating students to participate in professionally oriented events management. The Education and Science Journal, 20(1), 96-115. https://doi.org/10.17853/1994-....
 
51.
Smirnov, E. I., Zykova, T. V., & Tikhomirov, S. A. (2019). The management of school mathematical education with synergistic effect. Perspektivy Nauki i Obrazovania, 37(1), 190-202. https://doi.org/10.32744/pse.2....
 
52.
Soboleva, E. V., Karavaev, N. L., Shalaginova, N. V., Perevozchikova, M. S. (2018). Improvement of the Robotics Cross-Cutting Course for Training of Specialists in Professions of the Future. European Journal of Contemporary Education, 7(4). https://doi.org/10.13187/ejced....
 
53.
Soboleva, E. V., Karavaev, N. L., & Perevozchikova, M. S. (2017). Improving the content of teacher training for the development and use of computer games in education. Bulletin of the Novosibirsk State Pedagogical University, 6, 54-70. https://doi.org/10.15293/2226-....
 
54.
Tambunan, H. (2019). The Effectiveness of the Problem Solving Strategy and the Scientific Approach to Students’ Mathematical Capabilities in High Order Thinking Skills. International Electronic Journal of Mathematics Education, 14(2), 293-302. https://doi.org/10.29333/iejme....
 
55.
Taneja, H., Webster, J. G., Malthouse, E. C., & Ksiazek, T. B. (2012). Media consumption across platforms: Identifying user-defined repertoires. New Media & Society, 14(6), 951–968. https://doi.org/10.1177/146144....
 
56.
Tregub, L. S. (1973). Elements of the modern introduction to mathematics: Equality. Numerical structures. Tashkent: Fan.
 
57.
Tsymbalist, O. V., & Grigoriev, S. I. (2003). Mathematical modeling in the content of engineering education is a tool for the formation of mathematical thinking. Bulletin of Altai State Agrarian University, 12(4), 172-174.
 
58.
Urvanova, N. A. (2018). A model for the development of mathematical thinking of students in classes of mathematical and natural-science. Innovative Development of Vocational Education, 4(20), 39-45.
 
59.
Usol’tsev, A. P., & Antipova, E. P. (2019). Innovative activity of teachers—Myth or reality? The Education and Science Journal, 21(5), 9-41. https://doi.org/10.17853/1994-....
 
60.
Zafoschnig, A. (2018). Smart Ideas for Engineers – the Impact of Emerging Technologies on Modern Engineering Education. Higher education in Russia, 27(6), 66-70.
 
61.
Záhorec, J., Hašková, A., & Munk, M. (2010). Impact of Electronic Teaching Materials on Process of Education^ Results of an Experiment. Informatics in Education, 9(2), 261-281.
 
62.
Zasedatel, V. S., & Serbin, V. A. (2014). Mobile learning in the concept of modern education. Open and Distance Education, 4(56), 77-85.
 
63.
Zeynivandnezhad, F., & Bates, R. (2018). Explicating mathematical thinking in differential equations using a computer algebra system. International Journal of Mathematical Education in Science and Technology, 49(5), 680-704. https://doi.org/10.1080/002073....
 
64.
Varshavskaya, E., & Kotyrlo, E. S. (2019). Graduates in Engineering and Economics: Between Demand and Supply. Voprosy Obrazovaniya / Educational Studies Moscow, 2, 98-128. https://doi.org/10.17323/1814-....
 
65.
Wilmer, H. H., & Chein, J. M. (2016). Mobile technology habits: Patterns of association among device usage, intertemporal preference, impulse control, and reward sensitivity. Psychonomic Bulletin & Review, 23(5), 1607-1614. https://doi.org/10.3758/s13423....
 
eISSN:1305-8223
ISSN:1305-8215
Journals System - logo
Scroll to top