Articlediamond2012

On the development of early algebraic thinking

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Mathematics Education and Teaching Techniques Mathematics Education and Pedagogy Cognitive and developmental aspects of mathematical skills

Abstract

This article deals with the question of the development of algebraic thinking in young students. In contrast to mental approaches to cognition, we argue that thinking is made up of material and ideational components such as (inner and outer) speech, forms of sensuous imagination, gestures, tactility, and actual actions with signs and cultural artifacts. Drawing on data from a longitudinal classroom-based research program where 8-year old students were followed as they moved from Grade 2 to Grade 3 to Grade 4, our developmental research question is investigated in terms of the manner in which new relationships between embodiment, perception, and symbol-use emerge and evolve as students engage in patterning activities. Sobre el desarrollo de pensamiento algebraico temprano Este artículo aborda la cuestión del desarrollo del pensamiento algebraico en estudiantes jóvenes. En contraste con los enfoques mentales de la cognición, sostenemos que el pensamiento está compuesto por componentes materiales y del mundo de las ideas tales como el discurso (interior y exterior), formas de imaginación sensitiva, gestos, tacto y acciones reales con signos y artefactos culturales. Con base en datos obtenidos de un programa de investigación longitudinal basado en el aula en el que se siguió el paso de estudiantes de 8 años de segundo grado a tercero y a cuarto, nuestra pregunta de investigación acerca del desarrollo es investigada en términos de la forma en que surgen y evolucionan nuevas relaciones entre el cuerpo, la percepción y el inicio del uso de símbolos a medida que los estudiantes participan en actividades sobre patrones.Handle: http://hdl.handle.net/10481/20052Nº de citas en WOS (2017): 3 (Citas de 2º orden, 3)Nº de citas en SCOPUS (2017): 6 (Citas de 2º orden, 21)

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References

1957Comparative Psychology of Mental Development.2006Arithmetic and Algebra in Early Mathematics Education 1980Conversations with jean piaget 2007Iconicity and contraction: a semiotic investigation of forms of algebraic generalizations of patterns in different contexts 2008The Ethics of Being and Knowing: Towards a Cultural Theory of Learning 2010Layers of generality and types of generalization in pattern activities 1992Ape, Primitive Man, and Child Essays in the History of Behavior 2010The Eye as a Theoretician: Seeing Structures in Generalizing Activities.

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