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首页> 外文期刊>Nonlinear dynamics, psychology and life sciences >Nonlinear Dynamics and Neo-Piagetian Theories in Problem Solving: Perspectives on a New Epistemology and Theory Development
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Nonlinear Dynamics and Neo-Piagetian Theories in Problem Solving: Perspectives on a New Epistemology and Theory Development

机译：问题解决中的非线性动力学和新皮亚杰理论：一种新的认识论和理论发展的视角

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In this study, an attempt is made to integrate Nonlinear Dynamical Systems theory and neo-Piagetian theories applied to creative mental processes, such as problem solving. A catastrophe theory model is proposed, which implements three neo-Piagetian constructs as controls: the functional M-capacity as asymmetry and logical thinking and the degree of field dependence-independence as bifurcation. Data from achievement scores of students in tenth grade physics were analyzed using dynamic difference equations and statistical regression techniques. The cusp catastrophe model proved superior comparing to the pre-post linear counterpart and demonstrated nonlinearity at the behavioral level. The nonlinear phenomenology, such as hysteresis effects and bifurcation, is explained by an analysis, which provides a causal interpretation via the mathematical theory of self-organization and thus building bridges between NDS-theory concepts and neo-Piagetian theories. The contribution to theory building is made, by also addressing the emerging philosophical, -ontological and epistemological- questions about the processes of problem solving and creativity.
机译：在这项研究中，我们试图将非线性动力系统理论和新的皮亚杰理论结合到创造性的心理过程中，例如解决问题。提出了一个巨变理论模型，该模型以三种新的Piagetian结构作为控制：功能性M容量不对称和逻辑思维，以及场依赖无关程度为分叉。使用动态差异方程和统计回归技术分析了十年级物理专业学生的成绩得分数据。尖峰突变模型证明比线性事前模型更好，并且在行为水平上表现出非线性。通过分析解释了非线性现象学，例如磁滞效应和分叉，该分析通过自组织数学理论提供了因果关系，从而在NDS理论概念和新皮雅奇论之间建立了桥梁。通过解决有关解决问题和创造力过程的新出现的哲学，本体论和认识论问题，为理论构建做出了贡献。

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