Mathematical Perspective on Piaget’s Theory and Its Implications for Teaching and Learning
Objectives. This paper applies mathematical modelling to Piaget’s theory of cognitive development through a system of differential equations. By modelling the progression through Piaget’s cognitive stages, the research aims to assess the stability of mental development. Materials and methods. St...
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| Format: | Article |
| Language: | English |
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OVS LLC
2025-04-01
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| Series: | Journal of Learning Theory and Methodology |
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| Online Access: | https://www.ltmjournal.com/e/article/view/110 |
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| _version_ | 1849310538046111744 |
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| author | Chinedu Obasi Patricia Obi |
| author_facet | Chinedu Obasi Patricia Obi |
| author_sort | Chinedu Obasi |
| collection | DOAJ |
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Objectives. This paper applies mathematical modelling to Piaget’s theory of cognitive development through a system of differential equations. By modelling the progression through Piaget’s cognitive stages, the research aims to assess the stability of mental development.
Materials and methods. Stability analysis, including linear and nonlinear methods such as Lyapunov functions, reveals that the system exhibits stable behaviour, suggesting predictable and continuous transitions between cognitive stages.
Results. The results imply that Piaget’s stages are stable under typical conditions, with potential implications for designing educational interventions based on cognitive development.
Conclusions. This approach provides a quantitative framework to understand cognitive development and its stability within educational contexts.
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| format | Article |
| id | doaj-art-9c12bae05caf4c76bbac97b1bb2d5b4c |
| institution | Kabale University |
| issn | 2708-7573 2708-7581 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | OVS LLC |
| record_format | Article |
| series | Journal of Learning Theory and Methodology |
| spelling | doaj-art-9c12bae05caf4c76bbac97b1bb2d5b4c2025-08-20T03:53:42ZengOVS LLCJournal of Learning Theory and Methodology2708-75732708-75812025-04-016110.17309/jltm.2025.6.1.06Mathematical Perspective on Piaget’s Theory and Its Implications for Teaching and LearningChinedu Obasi0Patricia Obi1Alvan Ikoku Federal University of EducationAlvan Ikoku Federal University of Education Objectives. This paper applies mathematical modelling to Piaget’s theory of cognitive development through a system of differential equations. By modelling the progression through Piaget’s cognitive stages, the research aims to assess the stability of mental development. Materials and methods. Stability analysis, including linear and nonlinear methods such as Lyapunov functions, reveals that the system exhibits stable behaviour, suggesting predictable and continuous transitions between cognitive stages. Results. The results imply that Piaget’s stages are stable under typical conditions, with potential implications for designing educational interventions based on cognitive development. Conclusions. This approach provides a quantitative framework to understand cognitive development and its stability within educational contexts. https://www.ltmjournal.com/e/article/view/110cognitive developmentPiaget’s theorymathematical modellingstability analysis |
| spellingShingle | Chinedu Obasi Patricia Obi Mathematical Perspective on Piaget’s Theory and Its Implications for Teaching and Learning Journal of Learning Theory and Methodology cognitive development Piaget’s theory mathematical modelling stability analysis |
| title | Mathematical Perspective on Piaget’s Theory and Its Implications for Teaching and Learning |
| title_full | Mathematical Perspective on Piaget’s Theory and Its Implications for Teaching and Learning |
| title_fullStr | Mathematical Perspective on Piaget’s Theory and Its Implications for Teaching and Learning |
| title_full_unstemmed | Mathematical Perspective on Piaget’s Theory and Its Implications for Teaching and Learning |
| title_short | Mathematical Perspective on Piaget’s Theory and Its Implications for Teaching and Learning |
| title_sort | mathematical perspective on piaget s theory and its implications for teaching and learning |
| topic | cognitive development Piaget’s theory mathematical modelling stability analysis |
| url | https://www.ltmjournal.com/e/article/view/110 |
| work_keys_str_mv | AT chineduobasi mathematicalperspectiveonpiagetstheoryanditsimplicationsforteachingandlearning AT patriciaobi mathematicalperspectiveonpiagetstheoryanditsimplicationsforteachingandlearning |