Design and implementation of adaptive technology for teaching mathematics to school children based on integrated diagnostic approach to subject preparation and competence development

Keywords: Adaptive learning technology, students' motivation, student success profile, structure of mathematical tasks, teaching mathematics.


The development of school teaching  systems to enable effective adaptive communication of information requires specific pedagogical solutions to several important theoretical and methodological problems .These include 1) the discernment of basic characteristics needed to diagnose and improve the quality of subject preparation for schoolchildren, 2) clarifying the role of the teacher in the structure of adaptive learning  process, and  3) finding ways to integrate adaptive content into the framework of courses on mathematics. The purpose of our study was to determine theoretical and methodological foundations of teaching mathematics to schoolchildren taking into account their level of ability with the consequent development of appropriate adaptive content.

The basic characteristics that underpin the concept of adaptive learning which contributes to both individual profiles of student ability to learn and subsequent success outcomes are: proficiency, motivation to learn and level of mathematical knowledge. The evaluation of individual profile structure of schoolchildren determines the choice of methodologies for presentation of adaptive content in ways allowing development and motivation. The system of educational process management developed in this way includes both content-methodical and procedural-technological components. This makes it possible to automatically evaluate the level of each students' mathematical training (knowledge, motivation, development) and to ensure continuous improvement.

This system can also be used by secondary teachers of mathematics as a part of extracurricular activities, or as a distance learning support. In addition, the recommendations for structuring multi-level problem material can be used by mathematics teachers to self-construct adaptive sets tasks at various stages of teaching mathematics. As a result, students have the opportunity to improve their own profile of learning success, particularly by solving a chain of tasks.


Download data is not yet available.

Author Biographies

Mikhail. A. Rodionov, Penza State University, Penza, Russia

Penza State University, Penza, Russia

Zhana Dedovets, The University of the West Indies, SOE St. Augustine, Trinidad and Tobago

The University of the West Indies, SOE St. Augustine, Trinidad and Tobago

Elena S. Pavlova, Institution of Higher Education «Togliatti State University», Russia

Federal State Budget Educational Institution of Higher Education «Togliatti State University», Russia

Natalia N. Sharapova, Penza State University, Penza, Russia

Penza State University, Penza, Russia

Irina V. Akimova, Penza State University, Penza, Russia

Penza State University, Penza, Russia


Abramova, N.S., Vaganova, O.I., Kutepova, L.I. (2018) Development of educational and methodological support in the context of the implementation of information and communication technologies. Baltiyskiy gumanitarnyy zhurnal (Baltic Humanitarian Journal), 7, no. 2 (23), 181-184. (in Russ.).

Akimova, I.V., Rodionov, M.A., Khramova N.N., Titova, E.I., Behter, A.Y., Gubanova, O.M., Pichugina, P.G. (2016). Studying the Elements of "Fuzzy Mathematics" Within Subject Training for Pedagogical Students of the Informatics Profile. International Journal of Humanities and Cultural Studies, August, 262-270.

Bulaeva, M.N., Vaganova, O.I., Gladkova, M.N. (2018). Activity technologies in a professional educational institution. Baltiyskiy gumanitarnyy zhurnal (Baltic Humanitarian Journal), 7, no. 3 (24), 167-170. (in Russ.).

Bartkiv, O. S., Durmanenko, E. A. (2018). Interactive methods in the process of future teachers’ training for the higher education institutions modeling. Humanitarian Balkan Research, 1, 30-32.

Vaganova, O.I., Konovalova, E. Yu., Abramova, N.S., Lapshova, A.V., Smirnova, Z.V. (2019a). Increasing the level of teachers' readiness for pedagogical project. Amazonia Investiga, 8 (22), 286 – 294.

Vaganova, O.I., Odarich, I.N., Popkova, A.A., Smirnova, Z.V., Lebedeva, A.A. (2019b). Independent work of students in professional educational institutions. Amazonia Investiga, 8 (22), 295 – 304.

Vaganova, O.I., Sirotyk, S.D., Popkova, A.A., Smirnova, Z.V., Bulaeva, M.N. (2019c). Additional education in higher professional educational institution. Amazonia Investiga, 8 (22), 305 – 310.

Vaganova, O.I., Smirnova, Z.V., Gruzdeva, M.L., Chaykina, Z.V., Ilyashenko, L.I. (2019d). Development of training content for master students in course "mechatronics and robotics" at the University. Amazonia Investiga, 8 (22), 694 – 700.

Vaganova, O.I., Ilyashenko L.K. (2018). The main directions of implementation technologies of student-centered education in high school. Vestnik Mininskogo universiteta (Vestnik of Minin University), 6 (3), 2. (in Russ.). DOI: 10.26795 / 2307-1281-2018-6-3-2.

Vaganova, O. I. (2019e). Formation of competence in the possession of modern educational technologies at a university. Amazonia Investiga, 8 (23), 87-95.

Vaganova, O. I. (2019f). Organization of practical classes in a higher educational institution using modern educational technologies. Amazonia Investiga, 8 (23), 81-86.

Garnevska, S.M. (2018). Opportunities for forming communication technology images in training in technology and entrepreneurship. Balkan Scientific Review, 1, 34-37.

Guseva, E.V., Rodionov M.A. (2013). The Organization of Reflexive Search of the Decision On the Basis of Activity and Procedural Approach. News of higher educational institutions. Volga region region. Humanities. 4, 205-214.

Dedovets, Z., Rodionov, M. (2015). The Development of Student Core Competencies through the STEM Education Opportunities in Classroom. World Academy of Science, Engineering and Technology, International Science Index 100, International Journal of Social, Education, Economics and Management Engineering, 9, 2849-2652,

Denysenko, S.M. (2018). Application of quest technology in the professional training of Bachelor of Publishing and Polygraphy in Higher School. Balkan Scientific Review, 1, 29-33.

Ihnatenko, H.V., Ihnatenko, K.V. (2018). Formation of self-dependence as a professional ly-important personality trait of a future vocational education teacher by means of case-technology. Humanitarian Balkan Research, 1, 40-42.

Ivanova, N. L., Korostelev, A. A. (2019). The impact of competitive approach on students' motivation in sport. Amazonia Investiga, 8 (18), 483-490.

Klinkov, G.T. (2018). The specificity of manifestation of pedagogical communication as a special construct. Scientific Vector of the Balkans, 1, 51-52.

Koshechko, N.V. (2018). Innovations from educational discipline "Pedagogical conflictology" in professional preparation of students. Scientific Vector of the Balkans, 1, 59-63.

Makhometa, T.M., Tiahai I.M. (2018). The use of interactive learning in the process of preparing future math teachers. Balkan Scientific Review, 1, 48-52.

Rodionov, M.A., Marina, E.V. (2006) Formation of Variable Thinking of School Students at The Solution of Tasks on Construction: Manual. Penza: PSPU

Rodionov, M.A., Semikova, Е.О. (2017) Design of Individual Trajectories of Training of Younger School Students on the Basis of Accounting of Their Cognitive Styles // Modern education scientific approaches, experience, problems, prospects. Collection of Articles XIII of the International scientific and practical conference "Artemovsky Readings", 240-242, 2017.

Rodionov, M.A., Khramova, N.N., Marina Е.V., Chernezkaya, Т.А. (2016b). The System of the Adaptive Computer Testing of School Students Considering Type and Degree of Their Endowments in The Field of Mathematics. Informatics and Education. 3, 40-45.

Rodionov, M.A., Akimova, I.A., Shabanov, G.I. (2017b). Elements Of ‘‘Fuzzy Logic’’ As A Component of Professional And Pedagogical Training Of Future Mathematics And Informatics Teachers // Integration Of Education. 21, (2), 286-302. DOI: 10.15507/1991-9468.087.021.201702.286-302

Rodionov, M. A., Fedoseyev, V. M., Dedovetsc, Zh., Shabanov, G.I., Akimova, I.V. (2018) Specifics of Designing a Technological Component in аn Integrated Methodological System of Mathematical Training of Future Engineers. Integration of Education. 2, 383-400.

Rodionov, M.A., Akimova, I.V (2010). Training of School Students In Structuring Knowledge On The Basis Of Use Of Software Of Educational Appointment: Penza: PSPU.

Rodionov, M.A., Khramova, N.N. (2007). Activity and Procedural Approach to Training of School Students in Search of a Solution of Mathematical Tasks. Methodological Prerequisites and Examples Of Realization: An educational and methodical grant for students and mathematics teachers. Penza, PSPU.

Rodionov, M.A., Khramova, N.N. (2014). Development of Variability of Thinking of School Students at Mathematics Lessons with Use "1c of The Mathematical Designer"//Informatics and education. 7, 15-21.

Rodionov, M.A., Khramova, N.N. Akimova, I.V. and Chernetskaya, T.A., (2016). Adaptive Technology of Pupils’ Mathematics Teaching That Considers the Specific Features of Pupils’ Subject-Matter Giftedness. The Social Sciences (Medwell Journals), 11 (4), 6699-6708, 2016

Rodionov, M. Velmisova, S. (2008). Construction of Mathematical Problems by Students Themselves // AIP Conf. Proc. 1067, 221,

Chirva, A.N., Chirva, O.G. (2018). Contents and method of professionally oriented training of informatic disciplines of future teachers of technologies. Scientific Vector of the Balkans, 1, 27-31.
How to Cite
Rodionov, M., Dedovets, Z., Pavlova, E., Sharapova, N., & Akimova, I. (2020). Design and implementation of adaptive technology for teaching mathematics to school children based on integrated diagnostic approach to subject preparation and competence development. Amazonia Investiga, 9(26), 458-472.