Executive functioning skills and (low) math achievement in primary and secondary school.

Schoolchildren with better executive functioning skills achieve better mathematics results. It is less clear how inhibition, cognitive flexibility, and working memory combine to predict mathematics achievement and difficulty throughout primary and secondary school. This study aimed to find the best combination of executive function measures for predicting mathematical achievement in Grades 2, 6, and 10 and to test whether this combination predicts the probability of having mathematical difficulties across school grades even when fluid intelligence and processing speed were included in the models. A total of 426 students-141 2nd graders (72 girls), 143 6th graders (72 girls), and 142 10th graders (79 girls)-were cross-sectionally assessed with 12 executive tasks, one standardized mathematical task, and a standardized test of intelligence. Bayesian regression analyses found various combinations of executive predictors of mathematical achievement for each school grade spanning Grade 2 to measures of cognitive inhibition (negative priming) and cognitive flexibility (verbal fluency); Grade 6 to measures of inhibition: resistance to distractor interference (receptive attention), cognitive flexibility (local-global), and working memory (counting span); and Grade 10 to measures of inhibition: resistance to distractor interference (receptive attention) and prepotent response inhibition (stop signal) and working memory (reading span). Logistic regression showed that the executive models derived from the Bayesian analyses had a similar ability to classify students with mathematical difficulty and their peers with typical achievement to broader cognitive models that included fluid intelligence and processing speed. Measures of processing speed, cognitive flexibility (local-global), and prepotent response inhibition (stop signal) were the main risk factors in Grades 2, 6, and 10, respectively. Cognitive flexibility (verbal fluency) in Grade 2 and fluid intelligence, which was more stable in all three grades, acted as protective factors against mathematical difficulty. These findings inform practical considerations for establishing preventive and intervention proposals.

Gender, planning, and academic expectations in first-year higher education students: testing two alternative mediation models.

We examined the relationships among gender, planning, and academic expectations through the testing of two alternative models with latent variables tested with LISREL 8.80: one model considered planning as a mediator of the relationship between gender and academic expectations, and the other model considered academic expectations as mediators of the relationship between gender and planning. Participants were 662 first-year higher-education students from two academic years, predominantly female (60%) and mainly with majors in the juridical-social field (66.2%). The Inventario sobre Estrategias Metacognitivas (IEM; Inventory of Metacognitive Strategies) and the Academic Perceptions Questionnaire (APQ) were applied at the beginning of the first semester to assess planning and academic expectations, respectively. Multigroup confirmatory factor analysis was used to test the IEM's structure after examining its psychometric properties with the sample from the first academic year (N = 338). The test of the alternative mediation models with the full sample indicates that the best model was that with planning as a mediator. In this model, gender directly predicted only two APQ academic expectations, but with the mediation of planning, gender predicted all seven academic expectations. Women showed higher levels of academic expectations and planning than did men. The results are discussed at both the theoretical and practical levels.

Mathematical Difficulties vs. High Achievement: An Analysis of Arithmetical Cognition in Elementary School.

This study analyzed the contribution of cognitive processes (planning, attention, simultaneous and successive processing) and domain-specific skills (counting, number processing and conceptual comprehension) to the arithmetic performance achieved in the last three grades (4th, 5th, and 6th) of elementary school. Three groups of students with a different arithmetic achievement level were characterized. The predictive value of the cognitive processes and the math specific skills are explored through diverse covariance and discriminant analyses. Participants were 110 students (M = 10.5 years, SD = 1.17) classified in three groups: mathematical difficulties (MD; n = 26), high achieving (HA; n = 26), and typical achieving (TA; n = 58). Cognitive processes and domain-specific skills were evaluated in two individual sessions at the end of the school year. Nonverbal intelligence was assessed in a final collective session with each class. The mathematical difficulties group's achievement was deficient in simultaneous and successive processing, number processing, and conceptual comprehension compared to the typical achievement group. High achievement children obtained significantly better results than the typical achievement children in simultaneous processing, counting, number processing, and conceptual comprehension. Number processing and conceptual comprehension were the most consistent classifiers, although successive and simultaneous processing, respectively, also contributed to identifying students with mathematical difficulties and high achievement. These findings have practical implications for preventive and intervention proposals linked to the observed profiles.

Gender, planning, and academic expectations in first-year higher education students: testing two alternative mediation models

Abstract We examined the relationships among gender, planning, and academic expectations through the testing of two alternative models with latent variables tested with LISREL 8.80: one model considered planning as a mediator of the relationship between gender and academic expectations, and the other model considered academic expectations as mediators of the relationship between gender and planning. Participants were 662 first-year higher-education students from two academic years, predominantly female (60%) and mainly with majors in the juridical-social field (66.2%). The Inventario sobre Estrategias Metacognitivas (IEM; Inventory of Metacognitive Strategies) and the Academic Perceptions Questionnaire (APQ) were applied at the beginning of the first semester to assess planning and academic expectations, respectively. Multigroup confirmatory factor analysis was used to test the IEM's structure after examining its psychometric properties with the sample from the first academic year (N = 338). The test of the alternative mediation models with the full sample indicates that the best model was that with planning as a mediator. In this model, gender directly predicted only two APQ academic expectations, but with the mediation of planning, gender predicted all seven academic expectations. Women showed higher levels of academic expectations and planning than did men. The results are discussed at both the theoretical and practical levels.

Mathematical learning disabilities and attention deficit and/or hyperactivity disorder: A study of the cognitive processes involved in arithmetic problem solving.

BACKGROUND: The purpose of this study was to examine the contribution of cognitive functioning to arithmetic problem solving and to explore the cognitive profiles of children with attention deficit and/or hyperactivity disorder (ADHD) and with mathematical learning disabilities (MLD). METHODS: The sample was made up of a total of 90 students of 4th, 5th, and 6th grade organized in three: ADHD (n=30), MLD (n=30) and typically achieving control (TA; n=30) group. Assessment was conducted in two sessions in which the PASS processes and arithmetic problem solving were evaluated. RESULTS: The ADHD group's performance in planning and attention was worse than that of the control group. Children with MLD obtained poorer results than the control group in planning and simultaneous and successive processing. Executive processes predicted arithmetic problem solving in the ADHD group whereas simultaneous processing was the unique predictor in the MLD sample. CONCLUSIONS: Children with ADHD and with MLD showed characteristic cognitive profiles. Groups' problem-solving performance can be predicted from their cognitive functioning.

Arithmetical Difficulties and Low Arithmetic Achievement: Analysis of the Underlying Cognitive Functioning.

This study analyzed the cognitive functioning underlying arithmetical difficulties and explored the predictors of arithmetic achievement in the last three grades of Spanish Primary Education. For this purpose, a group of 165 students was selected and divided into three groups of arithmetic competence: Mathematical Learning Disability group (MLD, n = 27), Low Achieving group (LA, n = 39), and Typical Achieving group (TA, n = 99). Students were assessed in domain-general abilities (working memory and PASS cognitive processes), and numerical competence (counting and number processing) during the last two months of the academic year. Performance of children from the MLD group was significantly poorer than that of the LA group in writing dictated Arabic numbers (d = -0.88), reading written verbal numbers (d = -0.84), transcoding written verbal numbers to Arabic numbers (-0.75) and comprehension of place value (d = -0.69), as well as in simultaneous (d = -0.62) and successive (d = -0.59) coding. In addition, a specific developmental sequence was observed in both groups, the implications of which are discussed. Hierarchical regression analysis revealed simultaneous coding (ß = .47, t(155) = 6.18, p < .001) and number processing (ß = .23, t(155) = 3.07, p < .01) as specific predictors of arithmetical performance.

Arithmetical difficulties and low arithmetic achievement: analysis of the underlying cognitive functioning

This study analyzed the cognitive functioning underlying arithmetical difficulties and explored the predictors of arithmetic achievement in the last three grades of Spanish Primary Education. For this purpose, a group of 165 students was selected and divided into three groups of arithmetic competence: Mathematical Learning Disability group (MLD, n = 27), Low Achieving group (LA, n = 39), and Typical Achieving group (TA, n = 99). Students were assessed in domain-general abilities (working memory and PASS cognitive processes), and numerical competence (counting and number processing) during the last two months of the academic year. Performance of children from the MLD group was significantly poorer than that of the LA group in writing dictated Arabic numbers (d = -0.88), reading written verbal numbers (d = -0.84), transcoding written verbal numbers to Arabic numbers (-0.75) and comprehension of place value (d = -0.69), as well as in simultaneous (d = -0.62) and successive (d = -0.59) coding. In addition, a specific developmental sequence was observed in both groups, the implications of which are discussed. Hierarchical regression analysis revealed simultaneous coding (β = .47, t(155) = 6.18, p < .001) and number processing (β = .23, t(155) = 3.07, p < .01) as specific predictors of arithmetical performance (AU)

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Propiedades psicométricas del Cuestionario de Percepciones Académicas para la evaluación de las expectativas de los estudiantes de primer año en Enseñanza Superior / Psychometric properties of the Academic Perceptions Questionnaire for the assessment of first-year university students´ expectations

Desde una concepción multidimensional de las expectativas, este artículo pretende analizar la validez y precisión psicométrica de una escala para su medida en los estudiantes universitarios de primer año. La muestra (N = 759) estaba compuesta por alumnado de primer año, de diversas titulaciones académicas de la Universidad de Vigo-Campus de Ourense y de la Universidad de Minho. El valor de la Mdn de edad fue de 19, siendo sólo el 5.3% mayor de 23 años. A los participantes se les aplicó un conjunto de 56 ítems agrupados en siete dimensiones diferentes de expectativas. Los resultados del análisis factorial confirmatorio, se obtuvieron con el LISREL. Se garantizó la validez factorial, tanto convergente como discriminante de los factores. Ésta junto con su fiabilidad sugieren que el Cuestionario de Percepciones Académicas quedaría finalmente con 42 ítems distribuidos en siete dimensiones de expectativas: Formación para el empleo/carrera, Desarrollo personal y social, Movilidad estudiantil, Implicación política/ciudadanía, Presión social, Calidad de formación e Interacción social. Se comprobó la equivalencia del modelo de medida del instrumento en los dos idiomas y en dos grupos resultantes de la bipartición aleatoria de la muestra. Los resultados de la validez estructural de este estudio avalan la utilización del cuestionario para la medida de las expectativas de los estudiantes que inician por primera vez sus estudios en la Enseñanza Superior

This paper aims to test the psychometric validity and reliability of a measure of first-year university students’ expectations, based on a multidimensional conception of expectations. The sample consisted of 759 first-year students, attending various academic degrees at the Universities of Vigo - Ourense and University of Minho. The value Mdn age was 19,with only 5.3% with ages above 23 years. Participants answered a set of 56 items based on seven different dimensions of expectations. Results of confirmatory factor analysis, were carried out with LISREL. Factorial validity, and factors’ convergent and discriminant validity were assured. These results, along with evidences reliability, suggest that the Academic Perceptions Questionnaire presents a final structure composed of seven expectation dimensions, including 42 items: Training for employment/career, Personal and social development, Student mobility, Political and citizenship involvement, Social pressure, Quality of education, and Social interaction. The equivalence of measurement model in the two languages and in two groups randomly derived from the full sample was also verified. The results of this structural validity study support the assessment of the expectations of first-year students in Higher Education with the questionnaire

Updating executive function and performance in reading comprehension and problem solving / La función ejecutiva de actualización y el rendimiento en comprensión lectora y resolución de problemas

In this investigation, the capacity of the working memory (WM) updating executive function to predict individual differences in reading comprehension and problem solving was analyzed in 5th-graders of Primary Education. In addition, we examined whether this relation is direct or mediated by domain-general or domain-specific variables. For this purpose, a series of tasks was administered to assess fluid intelligence, WM information updating, arithmetic abilities, arithmetic problem solving, lexical processing, and reading comprehension in 49 students aged between 10and 11 years. The results support the idea that updating is an important predictor of reading comprehension, beyond the influence of domain specificskills and fluid intelligence. In the case of problem solving, our findings confirm that updating plays an important role although, perhaps due to task content, the relation seems to be mediated by fluid intelligence at this developmental stage

Esta investigación analizó, en niños de 5º curso de Educación Primaria, la capacidad predictora de la función ejecutiva de actualización de la Memoria Operativa (MO) en las diferencias individuales en comprensión lectora y resolución de problemas aritméticos. Además, se estudió si esta relación es directa o está mediada por variables de dominio general o específico. Con este fin se administró un conjunto de pruebas que evalúan la inteligencia fluida, la actualización de la información en la MO, la competencia aritmética, la resolución de problemas aritméticos, el procesamiento léxico y la comprensión lectora a 49 alumnos con edades comprendidas entre los 10 y 11 años. Los resultados apoyan la idea que la actualización de la MO es un importante predictor de la comprensión lectora, más allá de la influencia de las habilidades de dominio específico y de la inteligencia fluida. En el caso de la resolución de problemas, nuestros hallazgos confirman que la actualización juega un papel importante aunque, en este momento evolutivo, quizá por el propio contenido de la tarea, la relación parece mediada por la inteligencia fluida

Cognitive processing and mathematical achievement: a study with schoolchildren between fourth and sixth grade of primary education.

This investigation analyzed the relation between cognitive functioning and mathematical achievement in 114 students in fourth, fifth, and sixth grades. Differences in cognitive performance were studied concurrently in three selected achievement groups: mathematical learning disability group (MLD), low achieving group (LA), and typically achieving group (TA). For this purpose, performance in verbal memory and in the PASS cognitive processes of planning, attention, and simultaneous and successive processing was assessed at the end of the academic course. Correlational analyses showed that phonological loop and successive and simultaneous processing were related to mathematical achievement at all three grades. Regression analysis revealed simultaneous processing as a cognitive predictor of mathematical performance, although phonological loop was also associated with higher achievement. Simultaneous and successive processing were the elements that differentiated the MLD group from the LA group. These results show that, of all the variables analyzed in this study, simultaneous processing was the best predictor of mathematical performance.