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      Estrategias de intervención con maestros centradas en la construcción de espacios educativos significativos para el desarrollo de competencias matemáticas Translated title: Intervention strategies on teachers focused on creating meaningful educational environments for mathematical abilities development Translated title: Estratégias de interuenção com professores, centradas na construção de espaços educativos significativos para o desenvolvimento de competências matemáticas

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          Abstract

          El artículo describe un proceso de intervención en el que participaron maestras de preescolar y primer grado de básica primaria de escuelas públicas de la ciudad de Cali, Colombia. Esta propuesta está orientada a ofrecer un espacio de reflexión de la práctica docente que permita generar procesos educativos que favorezcan la comprensión del conocimiento matemático de los niños en el aula. Se brindó un conjunto de estrategias de apoyo para ayudar a las maestras en el diseño, análisis e implementación de espacios educativos significativos. Además, las participantes analizaron sus propias modalidades de intervención con el fin de identificar aquellas que garantizan el desarrollo de competencias matemáticas en los niños. Para determinar las transformaciones en los ambientes de aprendizaje se examinaron antes y después de la intervención el tipo de procesos cognitivos y competencias matemáticas que promueven las actividades propuestas en el aula, así como los tipos de intervención de las maestras y las formas de participación de los niños durante el desarrollo de las actividades escolares. Se evidenciaron transformaciones en las concepciones de las maestras en relación con los ambientes de aprendizaje, las competencias de los niños y la enseñanza de las matemáticas.

          Translated abstract

          This article describes an intervention process undertaken in a training program for preschool and first grade teachers from public schools in Cali, Colombia. The objective of this process is to provide a space for teachers to reflect on pedagogical practices which allow them to generate educational processes that foster children's understanding of mathematical knowledge in the classroom. A set of support strategies was presented for helping teachers in the design, analysis and implementation of learning environments as meaningful educational spaces. Furthermore, participants engaged in an analysis of their own intervention modalities to identify which modalities facilitate the development of mathematical abilities in children. In order to ascertain the transformations in the teachers' learning environments, the mathematical competences and cognitive processes underlying the activities proposed in the classroom, as well as teacher intervention modalities and the types of student participation in classroom activities were examined both before and after the intervention process. Transformations in the teachers' conceptions about the children's abilities and their own practices in teaching mathematics in the classroom were evidenced.

          Translated abstract

          O artigo descreve um processo de intervenção no que participaram professoras de educação pré-escolar e primeiro ano do ensino fundamental de escolas públicas da cidade de Cali, Colômbia. Esta proposta está orientada a oferecer um espaço de reflexão da prática docente que permita gerar processos educativos que favoreçam a compreensão do conhecimento matemático das crianças na aula. Ofereceu-se um conjunto de estratégias de apoio para ajudar às professoras na concepção, análise e implementação de espaços educativos significativos. Além disso, as participantes analisaram suas próprias modalidades de intervenção com o fim de identificar aquelas que garantam o desenvolvimento de competências matemáticas nas crianças; para determinar as transformações nos ambientes de aprendizagem, se examinaram antes e depois do processo de intervenção o tipo de processos cognitivos e competências matemáticas que promovem as atividades propostas na aula, assim como os tipos de intervenção das professoras e as formas de participação das crianças durante o desenvolvimento das atividades escolares. Se evidenciaram transformações nas concepções das professoras em relação com os ambientes de aprendizagem, as competências das crianças e o ensino das matemáticas

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          Preverbal and verbal counting and computation.

          We describe the preverbal system of counting and arithmetic reasoning revealed by experiments on numerical representations in animals. In this system, numerosities are represented by magnitudes, which are rapidly but inaccurately generated by the Meck and Church (1983) preverbal counting mechanism. We suggest the following. (1) The preverbal counting mechanism is the source of the implicit principles that guide the acquisition of verbal counting. (2) The preverbal system of arithmetic computation provides the framework for the assimilation of the verbal system. (3) Learning to count involves, in part, learning a mapping from the preverbal numerical magnitudes to the verbal and written number symbols and the inverse mappings from these symbols to the preverbal magnitudes. (4) Subitizing is the use of the preverbal counting process and the mapping from the resulting magnitudes to number words in order to generate rapidly the number words for small numerosities. (5) The retrieval of the number facts, which plays a central role in verbal computation, is mediated via the inverse mappings from verbal and written numbers to the preverbal magnitudes and the use of these magnitudes to find the appropriate cells in tabular arrangements of the answers. (6) This model of the fact retrieval process accounts for the salient features of the reaction time differences and error patterns revealed by experiments on mental arithmetic. (7) The application of verbal and written computational algorithms goes on in parallel with, and is to some extent guided by, preverbal computations, both in the child and in the adult.
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            Análisis de la práctica educativa de los docentes: pensamiento, interacción y reflexión

            La práctica educativa de los docentes es una actividad dinámica, reflexiva, que comprende los acontecimientos ocurridos en la interacción entre maestro y alumnos. No se limita al concepto de docencia, es decir, a los procesos educativos que tienen lugar dentro del salón de clases, incluye la intervención pedagógica ocurrida antes y después de los procesos interactivos en el aula. En el presente trabajo, se proponen tres dimensiones para evaluar la práctica educativa de los docentes: 1) el pensamiento didáctico del profesor y la planificación de la enseñanza; 2) la interacción educativa dentro del aula; y 3) la reflexión sobre los resultados alcanzados. La relación entre estas tres dimensiones es interdependiente, es decir, cada una de ellas afecta y es afectada por las otras, por lo cual resulta indispensable abordarlas de manera integrada. La propuesta aquí desarrollada considera que los programas de mejoramiento del trabajo docente deben abordarse a partir de la evaluación de la práctica educativa, para después abordar la formación docente.
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              Aprendizaje escolar y construcción del conocimiento

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                Author and article information

                Contributors
                Role: ND
                Role: ND
                Journal
                apl
                Avances en Psicología Latinoamericana
                Av. Psicol. Latinoam.
                Universidad del Rosario (Bogotá )
                1794-4724
                June 2012
                : 30
                : 1
                : 93-107
                Affiliations
                [1 ] Universidad del Valle Colombia
                [2 ] Universidad del Valle Colombia
                Article
                S1794-47242012000100008
                590f287e-5599-46e7-a04f-dc81c491637c

                http://creativecommons.org/licenses/by/4.0/

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                SciELO Colombia

                Self URI (journal page): http://www.scielo.org.co/scielo.php?script=sci_serial&pid=1794-4724&lng=en
                Categories
                PSYCHOLOGY, MULTIDISCIPLINARY

                Clinical Psychology & Psychiatry
                mathematical education,espaços educativos significativos,primeira infância,educación matemática,formación docente,ambientes de aprendizaje,teachers training,learning environment,meaningful educational spaces,childhood,educação matemática,formação docente,ambientes de aprendizagem,espacios educativos significativos,primera infancia

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