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      Explanatory model of emotional-cognitive variables in school mathematics performance: a longitudinal study in primary school

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          Abstract

          This study tested a structural model of cognitive-emotional explanatory variables to explain performance in mathematics. The predictor variables assessed were related to students’ level of development of early mathematical competencies (EMCs), specifically, relational and numerical competencies, predisposition toward mathematics, and the level of logical intelligence in a population of primary school Chilean students ( n = 634). This longitudinal study also included the academic performance of the students during a period of 4 years as a variable. The sampled students were initially assessed by means of an Early Numeracy Test, and, subsequently, they were administered a Likert-type scale to measure their predisposition toward mathematics (EPMAT) and a basic test of logical intelligence. The results of these tests were used to analyse the interaction of all the aforementioned variables by means of a structural equations model. This combined interaction model was able to predict 64.3% of the variability of observed performance. Preschool students’ performance in EMCs was a strong predictor for achievement in mathematics for students between 8 and 11 years of age. Therefore, this paper highlights the importance of EMCs and the modulating role of predisposition toward mathematics. Also, this paper discusses the educational role of these findings, as well as possible ways to improve negative predispositions toward mathematical tasks in the school domain.

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          Most cited references43

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          The cognitive correlates of third-grade skill in arithmetic, algorithmic computation, and arithmetic word problems.

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            On the estimation of polychoric correlations and their asymptotic covariance matrix

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              Working memory and individual differences in mathematics achievement: a longitudinal study from first grade to second grade.

              This longitudinal study examined the relationship between working memory and individual differences in mathematics. Working memory measures, comprising the phonological loop, the visuospatial sketchpad, and the central executive, were administered at the start of first grade. Mathematics achievement was assessed 4 months later (at the middle of first grade) and 1 year later (at the start of second grade). Working memory was significantly related to mathematics achievement in both grades, showing that working memory clearly predicts later mathematics achievement. The central executive was a unique predictor of both first- and second-grade mathematics achievement. There were age-related differences with regard to the contribution of the slave systems to mathematics performance; the visuospatial sketchpad was a unique predictor of first-grade, but not second-grade, mathematics achievement, whereas the phonological loop emerged as a unique predictor of second-grade, but not first-grade, mathematics achievement.
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                Author and article information

                Contributors
                Journal
                Front Psychol
                Front Psychol
                Front. Psychol.
                Frontiers in Psychology
                Frontiers Media S.A.
                1664-1078
                08 September 2015
                2015
                : 6
                : 1363
                Affiliations
                [1] 1Departamento de Metodología de la Investigación e Informática Educacional, Facultad de Educación, Universidad de Concepción Concepción, Chile
                [2] 2Departamento de Ingeniería Matemática, Facultad de Ciencias Físicas y Matemáticas, Universidad de Concepción Concepción, Chile
                [3] 3Departamento de Psicología, Universidad de Cádiz Puerto Real, Spain
                [4] 4Departamento de Psicología, Universidad de Córdoba Córdoba, Spain
                Author notes

                Edited by: Carl Senior, Aston University, UK

                Reviewed by: Alex M. Moore, University of Missouri, USA; José Carlos Núñez, University of Oviedo, Spain

                *Correspondence: Gamal Cerda, Departamento de Metodología de la Investigación e Informática Educacional, Facultad de Educación, Universidad de Concepción, Casilla 160-C, Barrio Universitario, Concepción 4070386, Chile, gamal.cerda@ 123456udec.cl

                This article was submitted to Educational Psychology, a section of the journal Frontiers in Psychology

                Article
                10.3389/fpsyg.2015.01363
                4561756
                46a97ed4-2731-45ce-b2ab-bd420d90fdb6
                Copyright © 2015 Cerda, Pérez, Navarro, Aguilar, Casas and Aragón.

                This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

                History
                : 07 April 2015
                : 24 August 2015
                Page count
                Figures: 4, Tables: 1, Equations: 0, References: 65, Pages: 10, Words: 0
                Funding
                Funded by: Fondo Nacional de Desarrollo Científico y Tecnológico 10.13039/501100002850
                Award ID: Regular 1130519
                Funded by: PIA-CONICYT Basal Funds for Centers of Excellence
                Award ID: BF0003
                Funded by: Ministerio de Ciencia y Tecnología 10.13039/501100006280
                Award ID: EDU2011-22747
                Categories
                Psychology
                Original Research

                Clinical Psychology & Psychiatry
                mathematical competencies,logical intelligence,structural model,predisposition,performance

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