Eugeny I Smirnov1*, Anna Yu Skornyakova2 and Аlexey А Olekhov2
1Department of Theory and Methods of Teaching Mathematics, Yaroslavl State Pedagogical University named after KD Ushinsky, Russia
2Department of Mathematics and Methods of Teaching Mathematics, Perm State Humanitarian Pedagogical University, Russia
*Corresponding author:Eugeny I Smirnov, Department of Theory and Methods of Teaching Mathematics, Yaroslavl State Pedagogical University named after KD Ushinsky, Yaroslavl, Russia
Submission: July 21, 2025;Published: August 25, 2025
ISSN 2637-8078Volume7 Issue 4
The symbiosis of conceptual, mathematical and computer modeling in natural science study of practice-oriented problems is becoming a leading trend in the effective development of students’ thinking intellectual operations. Research problem: What are methodological, substantive and procedural aspects of students’ research skills formation in natural science course of practice-oriented problems solving by an artificial intelligence using? Research objective: To identify the substantive and procedural mechanisms for students’ research skills formation in natural science process of practice-oriented complex problems solving of artificial intelligence using by means of conceptual, mathematical and computer modeling. Materials and methods: Environmental and synergetic approaches, historiogenesis and technology of mastering complex systems and knowledge, methods of visual modeling and personal experiences founding during of natural science processes adaptation of practice-oriented tasks mastering, symbiosis of conceptual, mathematical and computer modeling in an architectures and functionality construction of neural networks and deep learning methods using. Results: Criteria and characteristics of “problem areas” in natural science aimed at subject and digital resources integration with potential of student’s research skills development are identified; requirements for organization of student’s search and research activities in digital educational environment are defined; didactic stages, principles and methods of multi-stage mathematical and information practice-oriented tasks implementation at natural science using generative and convolutional neural networks are identified.
Keywords:Practice-oriented tasks of natural science; Artificial neural networks; Research skills; Mathematical and computer modeling