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DEPENDENCIA SENSIBLE A LAS CONDICIONES INICIALES: UN RASGO DE LOS SISTEMAS COMPLEJOS CLAVE PARA ENTENDER EL DESARROLLO DE LA AUTONOMÍA INTELECTUAL.

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Bibliographic Details
Title: DEPENDENCIA SENSIBLE A LAS CONDICIONES INICIALES: UN RASGO DE LOS SISTEMAS COMPLEJOS CLAVE PARA ENTENDER EL DESARROLLO DE LA AUTONOMÍA INTELECTUAL.
Alternate Title: SENSITIVE DEPENDENCE ON INITIAL CONDITIONS: A COMPLEX DYNAMICAL SYSTEM'S KEY FOR THE UNDERSTANDING OF INTELLECTUAL AUTONOMY'S DEVELOPMENT.
Authors: Trigueros Pina, Ana María1 anamaria.trigueros@doctorado.unini.edu.mx
Source: MLS Educational Research. Jul-Dec2025, Vol. 9 Issue 2, p309-327. 19p.
Subject Terms: *Intellectual development, *Human behavior, *Teaching methods, Dynamical systems, Subjectivity, Autonomy (Philosophy)
Abstract (English): In recent decades, interdisciplinary teams at the Santa Fe Institute of New Mexico, have analyzed the mathematics that underlies the evolution of complex dynamical systems. Thanks to computing, we can graphically see a curious property of these: the sensitive dependence on initial conditions (SDIC). Some mathematical aspects of complexity have been verified with significant approximations in physics. Translating to human behavior is a task still very far from our reach: the level of complexity is incomparably greater, and human freedom seems to prevent any prediction; However, several authors point towards the study of the human psyche from this perspective. We do not expect to verify mathematical constants yet, but finding features or patterns can be transcendental for educators to understand the complex processes that hide behind the appearance of linearity of human development. What do teachers think about sensitive dependence on initial conditions in the development of intellectual autonomy? With the help of the ATLAS.ti program we can process qualitative data and obtain relationships between them. To what extent is the human being marked at the beginning? What factors can condition or reverse the process? Hundreds of interviews with teachers and the opinion of some geneticists, seem to confirm that the human psyche behaves as a complex dynamic system. A hopeful result for the teacher if this dependency goes beyond the beginning and allows for a significant change in the educational trajectory, even when it has been negatively marked from the beginning. [ABSTRACT FROM AUTHOR]
Abstract (Spanish): En las últimas décadas, equipos interdisciplinares del Santa Fe Institute de Nuevo Méjico, analizan las matemáticas que subyacen en la evolución de los sistemas dinámicos complejos. Gracias a la computación, podemos ver gráficamente una curiosa propiedad de estos: la dependencia sensible a las condiciones iniciales. Algunos aspectos matemáticos de la complejidad se han verificado con aproximaciones significativas en el ámbito de la física. Trasladar al comportamiento humano es una tarea todavía muy lejos de nuestro alcance: el nivel de complejidad es incomparablemente mayor y la libertad humana parece impedir cualquier pronóstico; sin embargo, varios autores apuntan hacia el estudio del psiquismo humano desde esta perspectiva. No esperamos verificar constantes matemáticas todavía, pero encontrar rasgos o patrones puede ser trascendental para que la mirada de los educadores comprenda los procesos complejos que se esconden tras la apariencia de linealidad del desarrollo humano. ¿Qué opinan los profesores sobre la dependencia sensible a las condiciones iniciales en el desarrollo de la autonomía intelectual? Con la ayuda del programa ATLAS.ti podemos tratar datos cualitativos y obtener relaciones entre ellos ¿En qué medida el ser humano es marcado en el inicio? ¿qué factores pueden condicionar o revertir el proceso? Cientos de entrevistas a docentes y la opinión de algunos genetistas, parecen confirmar que el psiquismo humano se comporta como un sistema dinámico complejo. Un resultado esperanzador para el docente si esta dependencia va más allá del inicio y permite provocar un cambio significativo en la trayectoria educativa, incluso cuando ha sido marcada negativamente desde el principio. [ABSTRACT FROM AUTHOR]
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Database: Education Research Complete
Description
Abstract:In recent decades, interdisciplinary teams at the Santa Fe Institute of New Mexico, have analyzed the mathematics that underlies the evolution of complex dynamical systems. Thanks to computing, we can graphically see a curious property of these: the sensitive dependence on initial conditions (SDIC). Some mathematical aspects of complexity have been verified with significant approximations in physics. Translating to human behavior is a task still very far from our reach: the level of complexity is incomparably greater, and human freedom seems to prevent any prediction; However, several authors point towards the study of the human psyche from this perspective. We do not expect to verify mathematical constants yet, but finding features or patterns can be transcendental for educators to understand the complex processes that hide behind the appearance of linearity of human development. What do teachers think about sensitive dependence on initial conditions in the development of intellectual autonomy? With the help of the ATLAS.ti program we can process qualitative data and obtain relationships between them. To what extent is the human being marked at the beginning? What factors can condition or reverse the process? Hundreds of interviews with teachers and the opinion of some geneticists, seem to confirm that the human psyche behaves as a complex dynamic system. A hopeful result for the teacher if this dependency goes beyond the beginning and allows for a significant change in the educational trajectory, even when it has been negatively marked from the beginning. [ABSTRACT FROM AUTHOR]
ISSN:26035820
DOI:10.29314/mlser.v9i2.4154