Teaching strategies, cognitive factors and mathematics.

Mathematics teaching strategies have a positive impact on learning. However, there is a lack of studies on non-traditional approaches to early mathematics education in the specialized scientific literature. In this theoretical framework, a study to connect teaching methodology with the various cognitive processes implicated in learning has been designed. A total of 114 primary school students aged 74 and 84 months who were taught mathematics either with the method called Open Algorithm Based on Numbers or with the more traditional Closed Algorithm Based on Ciphers, participated in the study. After conducting a thorough examination of cognitive processes and early math performance using well-established assessment instruments, a comparative analysis was undertaken to explore the relationship between cognitive predictors of mathematical performance, while considering the mathematics teaching strategies used. Students were distributed according to their level of mathematical competence and teaching methodology and the type of schools (Charter or Public). The results from the multivariate statistical test showed that the teaching strategy was inconclusive for most of the cognitive factors studied. Significant differences according to mathematical performance were found for fluid intelligence, verbal short-term memory, and visuospatial working memory. Finally, no significant differences were found in the cognitive variables studied when considering the interaction between the teaching approach, school characteristics, and mathematical achievement as a reference.

Socio-Economic and Cultural Context in the Development of Early Mathematical Competencies: A Comparative Study of Specific Educational Contexts in Chile and Spain.

This research presents the findings of a comparative study of mathematical competence among 130 students (M = 54.08 months; SD = 2.57) from vulnerable school contexts in Chile and the Spanish public school system. The study analyses a set of general and specific domain precursors for which evidence of socioeconomic background exists. Using multivariate regression and discriminant analysis techniques, we calculated similarities and differences between groups by comparing these precursors. Significant differences were found between the Spanish and Chilean groups (p < .05); however, no differences were observed in non-symbolic comparison and receptive vocabulary. Possible reasons for the existence and extent of these differences are discussed in terms of socio-cultural and educational contexts.

Contributions of the psychology of mathematical cognition in early childhood education using apps.

Educational interventions are necessary to develop mathematical competence at early ages and prevent widespread mathematics learning failure in the education system as indicated by the results of European reports. Numerous studies agree that domain-specific predictors related to mathematics are symbolic and non-symbolic magnitude comparison, as well as, number line estimation. The goal of this study was to design 4 digital learning app games to train specific cognitive bases of mathematical learning in order to create resources and promote the use of these technologies in the educational community and to promote effective scientific transfer and increase the research visibility. This study involved 193 preschoolers aged 57-79 months. A quasi-experimental design was carried out with 3 groups created after scores were obtained in a standardised mathematical competence assessment test, i.e., low-performance group (N = 49), high-performance group (N = 21), and control group (N = 123). The results show that training with the 4 digital learning app games focusing on magnitude, subitizing, number facts, and estimation tasks improved the numerical skills of the experimental groups, compared to the control group. The implications of the study were, on the one hand, provided verified technological tools for teaching early mathematical competence. On the other hand, this study supports other studies on the importance of cognitive precursors in mathematics performance.

Individual differences in general and specific cognitive precursors in early mathematical learning.

BACKGROUND: The acquisition of mathematical abilities is associated not only with several academic aptitudes but also with the development of particular cognitive skills. This study analysed the role of the general and specific domain precursors of informal mathematical thinking. METHOD: A total of 109 4-year-old children (M = 59.30 months; SD = 3.56) participated in the study, in which the participants' informal math and cognitive variables were assessed. A stepwise regression model was calculated. RESULTS: The complex inferential model evidenced the role of the three general-domain variables analysed, in addition to numerical estimation as a specific-domain variable. 48.5% of participants' variability in informal mathematical thinking, evaluated with the TEMA-3 test, was explained by three of the general domain precursors: working memory, processing speed and receptive vocabulary; as well as by estimation, a specific-domain precursor. The model showed a higher explanatory statistical weight for boys (48.9%) than girls (37.5%). CONCLUSIONS: The model indicated that working memory and processing speed were the main predictors of informal mathematical thinking at the age of four. A joint remedial or preventative intervention, taking into account predictors of the specific and general domains, could be the optimal option to improve achievement in mathematics.

The Open Algorithm Based on Numbers (ABN) Method: An Effective Instructional Approach to Domain-Specific Precursors of Arithmetic Development.

This article presents the results of a comparative study regarding the impact and contribution of two instructional approaches to formal and informal mathematical reasoning with two groups of Spanish students, aged four and five. Data indicated that for both age groups, children under the ABN method [Open Algorithm Based on Numbers (ABN)] (n = 147) achieved better results than the group under the CBC approach (Closed Algorithms Based on Ciphers) (n = 82), which is the widespread approach in Spanish schools to teach formal and informal mathematical reasoning. Furthermore, the comparative analyses showed that the effect is higher in the group of students who received more instruction on skills considered domain-specific predictors of later arithmetic performance. Statistically significant differences were found in 9 of the 10 dimensions evaluated by TEMA-3 (p < 0.01), as well as on estimation tasks in the number-line for the 5-year-old-group. However, the 4-year-old group only presented significant results in calculation and concepts tasks about informal mathematical reasoning. We discuss that these differences arise by differential exposure to specific number-sense tasks, since the groups proved to be equivalent in terms of receptive vocabulary, processing speed, and working memory. The educational consequences of these results were also analyzed.

Coming Together: R&D and Children's Entertainment Company in Designing APPs for Learning Early Math.

Information and Communication Technologies (ICT) have an increasing influence on the way we interact, learn, and live. The increase in teaching and learning methodologies that are mediated by ICT in the field of education and in the domestic settings encourages the design of new effective technological tools, supported by scientific research and development to improve student learning. The challenge psychology is facing in the education field is to promote those technologies and make them available to the education community. Technologies also would produce attractive items for users and realistic commercial issues for businesses. This also allows an effective transfer for scientific work, providing visibility to Research and Development. In this context, the main aim of the article is to describe the process to get an agreement between Babyradio (a children's entertainment company: https://babyradio.es/) and our research team, starting a collaborative work between two groups of people (Babyradio's technical designer and Psychologist-Engineers software designer), in order to create several educative applications (APPs) in the field of early mathematics cognition. The institutional framework of the relationship of the R&D project and a children's entertainment company is described. The article also focuses on experience in Psychology, Technological Innovation, and Entrepreneurship. In considering the efficiency of the agreement, we present different APPs designed for tablets and smartphone devices, adapted to the different operating systems (IOS, Android, Windows). APPs are designed to instill the cognitive fundamentals associated with early math learning for students aged 4 to 7 years. The study developed after this babyradio-university enterprise agreement contributes to the development of mathematics skills in children, aged 4-7 years, so that they can successfully meet the mathematics school requirements; it also contributes to encouraging a more positive attitude toward mathematics. This study also suggests how the education system and software and educational content developers' companies would manage verified instructional APPs, with a more realistic commercial perspective.

Different Methods for Long-term Systematic Assessment of Challenging Behaviors in People with Severe Intellectual Disability.

The aim of this study was to compare the advantages and disadvantages of different behavioral assessment procedures with the purpose of design a long-term assessment procedure that brings together the benefits observed. The study involved four adults with severe and profound intellectual disabilities and severe behavioral problems. A behavioral assessment has been carried out with Scatter Plot, Antecedent-Behavior-Consequence record sheets and, finally, The Observer XT. We conducted a comprehensive assessment of challenging behavior of each participant, by reviewing bio-psychosocial records, interviewing family and direct caregiver staff, as well as direct observation. A large inter-subject behavior variability and instability of intra-subject behavior were found, raising questions about the election of the period to evaluate. The first evaluation level highlighted information about stability of behavior, the second level stand out the context in which it occurs and the third level detailed the different topographies of each behavioral category. The results suggest the desirability of a continuous assessment by combining these three levels for adjusting to the specific characteristics of behavior. We suggest the need of designing a single behavioral assessment procedure that includes the benefits observed in each of the instruments used.

Predictive model for early math skills based on structural equations.

Early math skills are determined by higher cognitive processes that are particularly important for acquiring and developing skills during a child's early education. Such processes could be a critical target for identifying students at risk for math learning difficulties. Few studies have considered the use of a structural equation method to rationalize these relations. Participating in this study were 207 preschool students ages 59 to 72 months, 108 boys and 99 girls. Performance with respect to early math skills, early literacy, general intelligence, working memory, and short-term memory was assessed. A structural equation model explaining 64.3% of the variance in early math skills was applied. Early literacy exhibited the highest statistical significance (ß = 0.443, p < 0.05), followed by intelligence (ß = 0.286, p < 0.05), working memory (ß = 0.220, p < 0.05), and short-term memory (ß = 0.213, p < 0.05). Correlations between the independent variables were also significant (p < 0.05). According to the results, cognitive variables should be included in remedial intervention programs.

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

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.

The double task of preventing malnutrition and overweight: a quasi-experimental community-based trial.

BACKGROUND: The Maternal-Child Pastoral is a volunteer-based community organization of the Dominican Republic that works with families to improve child survival and development. A program that promotes key practices of maternal and child care through meetings with pregnant women and home visits to promote child growth and development was designed and implemented. This study aims to evaluate the impact of the program on nutritional status indicators of children in the first two years of age. METHODS: A quasi-experimental design was used, with groups paired according to a socioeconomic index, comparing eight geographical areas of intervention with eight control areas. The intervention was carried out by lay health volunteers. Mothers in the intervention areas received home visits each month and participated in a group activity held biweekly during pregnancy and monthly after birth. The primary outcomes were length and body mass index for age. Statistical analyses were based on linear and logistic regression models. RESULTS: 196 children in the intervention group and 263 in the control group were evaluated. The intervention did not show statistically significant effects on length, but point estimates found were in the desired direction: mean difference 0.21 (95%CI -0.02; 0.44) for length-for-age Z-score and OR 0.50 (95%CI 0.22; 1.10) for stunting. Significant reductions of BMI-for-age Z-score (-0.31, 95%CI -0.49; -0.12) and of BMI-for-age > 85th percentile (0.43, 95%CI 0.23; 0.77) were observed. The intervention showed positive effects in some indicators of intermediary factors such as growth monitoring, health promotion activities, micronutrient supplementation, exclusive breastfeeding and complementary feeding. CONCLUSIONS: Despite finding effect measures pointing to effects in the desired direction related to malnutrition, we could only detect a reduction in the risk of overweight attributable to the intervention. The findings related to obesity prevention may be of interest in the context of the nutritional transition. Given the size of this study, the results are encouraging and we believe a larger study is warranted.

Longitudinal study of low and high achievers in early mathematics.

BACKGROUND: Longitudinal studies allow us to identify, which specific maths skills are weak in young children, and whether there is a continuing weakness in these areas throughout their school years. AIMS: This 2-year study investigated whether certain socio-demographic variables affect early mathematical competency in children aged 5-7 years. SAMPLE: A randomly selected sample of 127 students (64 female; 63 male) participated. At the start of the study, the students were approximately 5 years old (M= 5.2; SD= 0.28; range = 4.5-5.8). METHOD: The students were assessed using the Early Numeracy Test and then allocated to a high (n= 26), middle (n= 76), or low (n= 25) achievers group. The same children were assessed again with the Early Numeracy Test at 6 and 7 years old, respectively. Eight socio-demographic characteristics were also evaluated: family model, education of the parent(s), job of the parent(s), number of family members, birth order, number of computers at home, frequency of teacher visits, and hours watching television. RESULTS: Early Numeracy Test scores were more consistent for the high-achievers group than for the low-achievers group. Approximately 5.5% of low achievers obtained low scores throughout the study. A link between specific socio-demographic characteristics and early achievement in mathematics was only found for number of computers at home. CONCLUSIONS: The level of mathematical ability among students aged 5-7 years remains relatively stable regardless of the initial level of achievement. However, early screening for mathematics learning disabilities could be useful in helping low-achieving students overcome learning obstacles.

Inhibitory processes, working memory, phonological awareness, naming speed, and early arithmetic achievement.

This study identified the cognitive processes that underlie the individual differences in early mathematical performance in elementary school children. Taking into account the Baddeley framework multicomponent model, the inhibitory processes, working memory, phonological awareness, and naming speed are considered to be related to early math learning. To examine this relationship, we compared the performance of a total of 424 typically developing middle-class children, aged between 4 and 7 years in a battery of cognitive and early numeric tests: The Utrecht Early Numeracy Test, the Rapid Automatized Naming Test, Spanish version of the Stroop task, the Numeracy Interference Test, Digit Span test, and Phonological Knowledge Test. The mean age of the participants was 72.21 months (sd = 14.8), and 48.6% were male and 51.4% were female. The results demonstrated that children performing worst on central executive, phonological processing, and inhibitory processes showed lower results in early mathematical tasks measured by The Utrecht Early Numeracy Test. Results supported the notion that the executive system is an important predictor of children's mathematical performance.

Estilo cognitivo reflexividad-impulsividad en escolares con alto nivel intelectual: reflexivity-impulsivity among school children with high intelectual level / Cognitive style

Los estilos cognitivos son definidos como estrategias habituales y estables que determinan los modos de percibir, recordar, pensar y solucionar problemas. El estilo cognitivo reflexividad-impulsividad hace referencia a la preferencia mostrada por las personas para responder rápidamente versus quien prefiere hacerlo de forma pausada para reducir el número de errores en tareas de resolución de problemas. La relación entre reflexividad-impulsividad y alto nivel de CI no está completamente aclarada. Nuestro objetivo fue conocer qué dimensión del estilo cognitivo reflexividad-impulsividad podemos considerar como característica propia de los alumnos con alto nivel de inteligencia psicométrica. Se evaluó el CI de 50 estudiantes de primaria y secundaria con la escala de inteligencia de Wechsler revisada para niños, así como su estilo cognitivo reflexividad-impulsividad con el test de Emparejamiento de Figuras Familiares. Asimismo, fueron evaluados con las Escalas para la valoración de las características de comportamiento de estudiantes superiores de Renzulli. Los resultados muestran que hay una mayor frecuencia de estudiantes con CI alto (superior a 130 en la escala de Wechsler) que manifiestan un estilo cognitivo reflexivo.

Cognitive styles are a stable attitudes, preferences, or habitual strategies that determine individuals' modes of perceiving, remembering, thinking, and problem solving. The impulsivity-reflectivity cognitive style refers preference for making responses quickly versus pausing to decrease the number of errors in problem-solving situations. Relationships between impulsivity-reflectivity and intelligence are still not clear. The aim of this project was to know what impulsivity-reflectivity dimension can be considered more common in gifted children assessed by a standard IQ test. 50 primary and secondary school children were assessed with the Wechsler Intelligence Scale for Children (WISC-r), the Renzulli Scale for Rating Behavioural Characteristics of Talented and Gifted Students, and the Matching Familiar Figures Test. Results suggest high IQ students (over 130 in WISC-r) were more likely to show a reflectivity cognitive style.

Relationship between personality traits and vocational choice.

Summary.-The relationship between occupational preferences and personality traits was examined. A randomly chosen sample of 735 students (age range = 17 to 23 years; 50.5% male) in their last year of high school participated in this study. Participants completed Cattell's Sixteen Personality Factor-5 Questionnaire (16PF-5 Questionnaire) and the Kuder-C Professional Tendencies Questionnaire. Initial hierarchical cluster analysis categorized the participants into two groups by Kuder-C vocational factors: one showed a predilection for scientific or technological careers and the other a bias toward the humanities and social sciences. Based on these groupings, differences in 16PF-5 personality traits were analyzed and differences associated with three first-order personality traits (warmth, dominance, and sensitivity), three second-order factors (extraversion, control, and independence), and some areas of professional interest (mechanical, arithmetical artistic, persuasive, and welfare) were identified. The data indicated that there was congruency between personality profiles and vocational interests.

Analisis funcional e intervención con economía de fichas y contrato de contingencias en tres casos de conductas disruptivas en el entorno escolar / Functional analysis and intervention using a token economy and a contingency contract in three cases of disruptive behaviors in school

En este artículo se presenta la intervención conductual en tres alumnos que presentaban diferentes problemas de adaptación escolar, consistentes en el rechazo sistemático de las tareas académicas, hacer constantes ruidos con la boca, las manos o los lápices, emitir frecuentes ruidos en la clase, destruir el material escolar, llevar a cabo agresiones verbales a loscompañeros y profesores, además de una falta de motivación generalizada por las actividades académicas. Se realizó una intervención conductual individualizada mediante procedimientosde economía de fichas y contratos de contingencias, tras lo que se realizó un seguimiento de su evolución. Los resultados indican que se consiguió un significativo cambio en su conducta,mejorando su adaptación escolar y reduciendo de manera significativa las conductas disruptivasque fueron tratadas.

In this article we describe the behavioral treatment of three students who presented problemsof adaptation to school. They showed verbal rejection of all academic work, made negative comments prior to starting any school activity, made constant noise with mouth, hands orpencils on the desk, frequently emitted cries in the classroom, destroyed school material, verbally attacked classmates and teachers. They also lacked motivation to undertake schoolactivities. An individual treatment using contingency contract and token economy procedures was implemented. The results indicate an improvement in adaptive behavior to the schoolenvironment, reducing significantly the incidence of insults, the destruction of school material and indolence during class sessions.

Positive behavioral intervention in children who were wards of the court attending a mainstream school.

This report looked at the effects of treatment using contingency contracts and token economy procedures in three children, two 14 yr. and one 8 yr., who were wards of the court and attending a mainstream school. Students presented problems of adaptation to school, such as making constant noises with the mouth, hands, or pencil on the desk; frequently emitted raucous cries in the classroom; destruction of school resource materials; verbal aggression to classmates and teachers; verbal rejection of all academic work, refusing to do it, making negative comments prior to starting any school activity, in addition to lack of motivation for undertaking school activities. A 4-mo. individual treatment using contingency contracts and token economy behavioral procedures was implemented, with several follow-up sessions. The results indicated an adaptation of behavior to the school environment, confirmed by teachers, significantly reducing the incidence of insults, the destruction of school materials, and indolence during class sessions. These students are at high risk for social exclusion. Interventions have potential social importance in possible prevention of adult criminality, increasing academic achievement, and decreasing social exclusion.