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Abstract
The purpose of this paper is to refer to the Lotka-Volterra model (predator-prey) in order to address cognitive functioning and particularly classification as a mental operation. Logistic regression is used and a model is determined for explaining classification functioning in children four years old. Results show evidence pointing to an on linear function of classification. The children’s performance suggests a balance between the number of questions that the child makes and the mental operations that he must display to coordinate such information.
References
Arnau, J. (1999). Series temporales cortas y mínimos cuadrados generalizados: Análisis de la intervención. Revista de Metodología de las Ciencias del Comportamiento,1, 119-135.
Ausloos, M., & Dirickx, M. (2006). The logistic map and the route to chaos: From the beginnings to modern applications. The Netherlands: Springer.
Berryman, A. A. (1992). The origins and evolution of predatorprey theory. Ecology, 73, 1530-1535.
Combariza, E., & Puche-Navarro, R. (2009). El uso de la wavelet para el estudio de los funcionamientos inferenciales en niños pequeños. En R. Puche-Navarro (Comp.), ¿Es la mente no lineal? (pp. 111-133). Cali: Programa EditorialUniversidad del Valle.
Cramer, J. S. (2003). Logit models from economics and other fields. Cambridge: Cambridge University Press.
Cramer, J. S. (2004). The early origins of the logit model. Studies in the History and Philosophy of Biological and Biomedical Sciences, 35, 613-626.
Fischer, K. W., & Bidell, T. (2006). Dynamic development of action and thought. In W. Damon & R. Lerner (Eds.), Handbook of Child Psychology: Theoretical Models of Human Development (6th ed., Vol. 1, pp. 313-399). NY: Wiley.
Fischer, K.W., & Kennedy, B. (1997). Tools for analyzing the many shapes of development: The case of self-in-relationships in Korea. In K. A. Renninger & E. Amsel (Eds.), Processes of development (pp. 117-152). Mahwah, N.J.: Erlbaum.
Gabriel, J. P., Saucy, F., & Bersier, L. F. (2005). Paradoxes in the logistic equation? Ecological Modeling, 185, 147-151.
Hofbauer, J., & Sigmund, K. (1988). The theory of evolution and dynamical systems. Cambridge, UK: Cambridge University Press.
Holmes, P. (1990). Poincare, celestial mechanics, dynamicalsystems theory and “chaos”. Physics Reports,193, 137-163.
Howe, M. L., & Lewis, M. D. (2005). The importance of dynamic systems approaches for understanding development. Developmental Review, 25, 247-251.
Isaza, J. F., & Campos, D. (2006). Ecología: Una mirada desde los sistemas dinámicos. Bogotá: Pontificia Universidad Javeriana.
Lotka, A. J. (1925/1956). Elements of Mathematical Biology. NY: Dover Publications, Inc.
Malthus, T. (1798). An Essay on the Principle of Population. London: Johnson.}
McCaig, C., Norman, R., & Shankland, C. (2008). Process algebra models of population dynamics. In K. Horimoto, G. Regensburger, M. Rosenkranz & H.Yoshida (Eds.), Algebraic biology (pp. 139–155). Berlin: Springer.
Mosher, F. A., & Hornsby, J. R. (1966). On asking questions. In J. S. Bruner, R. R. Oliver, & P. M. Greenfield et al. (Eds.), Studies in cognitive growth, (pp. 86-102). NY: Wiley.
Ossa, J. C., & Puche-Navarro, R. (2010). Modelos bayesianos y funcionamientos inferenciales complejos. Acta Colombiana de Psicología, 13(2), 119-128.
Piaget, J. (1950).The Psychology of Intelligence. London: Routledge and Kegan.
Puche-Navarro, R. (2008). Érase una vez el desarrollo. En J. Larreamendy-Joerns, R. Puche-Navarro & A. RestrepoIbiza (Comp.), Claves para pensar el cambio: Ensayos sobre psicología del desarrollo (pp. 29-69). Bogotá: Editorial Universidad de los Andes.
Puche-Navarro, R., & Martí, E. (2011) Metodologías del cambio. Infancia y Aprendizaje, 34, 131-139.
Rose, L. T., & Fischer, K. W. (2009). Dynamic development a neo piagetian approach. In J. I. M. Carpendale & L. Smith (Eds,). The Cambridge companion to Piaget (pp.400- 424). NY: CambridgeUniversity Press.
Ross, J. V. (2009). A note on density dependence in population models. Ecological Modelling, 220, 3472-3474.
Smith, L. B., & Thelen, E. (2003). Development as a dynamic system. Trends in Cognitive Sciences, 7, 343-348.
Spencer, J. P., & Perone, S. (2008). Defending qualitative change: The view from dynamical systems theory. Child Development, 79, 1639-1647.
Valsiner, J. (2004). El desarrollo de las teorías de desarrollo: La holywoodización de la ciencia y su impacto. Infancia y Aprendizaje, 27, 147-155.
Van der Maas, H.L.J., & Molenaar, P.C.M. (1992). Stagewise cognitive development: An application of catastrophe theory. Psychological Review, 99, 395-417.
Van Geert, P. (1991). A dynamic systems model of cognitive and language growth. Psychological Review, 98, 3-53.
Van Geert, P. (1994). Dynamic systems of development: Change between complexity and chaos. London: Harvester Wheatsheaf.
Van Geert, P. (1995). Growth dynamics in development. In R. F. Port &T. van Gelder (Eds.). Mind as motion: Explorations in the dynamics of cognition (pp. 313-337). Cambridge, MA: MIT Press.
Van Geert, P. (1998). We almost had a great future behind us: The contribution of nonlinear dynamics to developmental science in the making. Developmental Science, 1, 143-159.
Van Geert, P. (2003). Dynamic systems approaches and modeling of developmental processes. In J. Valsiner & K. J. Conolly (Eds.), Handbook of developmental Psychology (pp.640-672). London: Sage.
Van Geert, P.,& Steenbeek, H. (2005). Explaining after by before: Basic aspects of a dynamic systems approach to the study of development. Developmental Review, 25, 408-442.
Verhulst, P. F. (1838). Notice sur la loi que la population poursuit dans son accroissement. Correspondance mathématique et physique, 10, 113-121.
Volterra, V. (1926). Fluctuations in the abundance of a species considered mathematically. Nature, 118, 558–560.
Yan, Z., & Fischer, K. (2002). Dynamic growth modeling of human cognitive microdevelopment. In: Proc. 2nd International Conference on Development and Learning. Retrieved from http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=01011875
Yan, Z., & Fischer, K. (2007). Pattern emergence and pattern transition in microdevelopmental variation: Evidence of complex dynamics of developmental processes. Journal of Developmental Processes, 2, 39-62.