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    Game invention as means to stimulate probabilistic thinking
    (International Association for Statistical Educationshse@cbs.nl, 2020-02-29)
    In this paper, we make a qualitative analysis of didactic experiments performed with five 6 to 10-year-old children and five primary school teachers, starting from a structured game with probabilistic elements. The fundamental idea is to stimulate probabilistic thinking not only by playing a card game with decision making in uncertain situations, but by inventing games modifying the initial game. These experiments are grounded on the importance of emotions for learning, the subjective probability approach, and researches on problem posing. We have found that this activity of inventing games has a significant impact on the development of probabilistic thinking in children and teachers; it reduces the anxiety and it could be used in teaching strategies to foster statistical and probability literacy. Some of its positive effects are the strengthening of creativity, self-efficacy, self-esteem, the ability to ask questions, and the enjoyment of learning. First published February 2020 at Statistics Education Research Journal Archives
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    The mediating role of self-regulation in the relationship between parenting behaviors and early mathematical development in Peruvian preschool children
    (Hipatia Editorial, 2022-10-01)
    A significant way to contribute in the analysis of deficiencies in school performance, a known issue particularly in mathematics, is by delving into children’s development of informal mathematics during their early childhood, and thus have better elements to intervene in a more timely, effective manner. From this point of view, this study analyzes how the relationship between parenting behavior and early mathematics can be mediated by the development of self-regulation in children. The sample of the study is made of 85 students, between 5 and 6 years old, who are in their last year of preschool in two public schools in Lima. The instruments used are the Spanish translations of the Test of Early Mathematics Ability - 3, Head-Toes-Knees-Shoulders task and Parent Behavior Inventory. The main results show that self-regulation in children and their caregivers’ parenting behavior are significant predicting variables in early mathematical development. Specifically, the findings suggest that self-regulation in children can significantly mediate the relationship between the dimension of support/engagement in parenting behavior and the development of early mathematics in children during preschool.
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    Análisis predictivo del desempeño académico en niños peruanos: el rol del control intencional y el agrado hacia la escuela
    (Universidad de Almeria, 2022-09-01)
    Introduction. In Peru, there are few studies that include individual differences between stu-dents to explain their academic performance at the beginning of formal schooling. For that reason, the aim of the present study was to predict the perceived academic performance of a group of students based on the following variables: effortful control (EC) and school liking (SL). Method. A sample of 423 students, between 5 and 8 years old (M = 6.29, SD = 0.89), was gathered from public schools in socioeconomically disadvantaged areas in Lima. A total of 45 teachers gave information about their perceptions regarding the study variables in their re-spective students. Results. The hierarchical linear regression analysis results show that both effortful control and school liking are positive and significant predictors of perceived academic performance, even after controlling for students’ cognitive skills and their mothers’ educational level. Discussion and Conclusion. Possible explanations for these findings and their relevance in the Peruvian context are discussed
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    Rasch modeling approach for measuring young children’s informal mathematics in Peru
    (Modestum LTD, 2022-01-01)
    One of the strongest predictors of future academic achievement is the early and informal math skills children begin their school studies. Because of this, it is essential to have proper tools for measuring the development of mathematical thinking at an early age to be able to intervene in a timelier, more effective way. The purpose of this research is to calibrate the items of informal mathematics from the test of early mathematics ability–third edition (TEMA-3) by applying the Rasch model. A total of 148 Peruvian preschool children (ranging in age from five to six years) participated in the study. The results show good psychometric properties of the informal mathematics dimension of the instrument, which indicates a good fit of the student sample, the items to the proposed model and a tendency toward unbiased items. We further determined that the items analyzed exhibit a consistent internal structure at the theoretical level.
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    Problem Posing as a Framework to Invent Games that Stimulate Mathematical Thinking
    (Spanish Society of Research in Mathematics Education, 2025-01-01)
    Investigadores de la psicología destacan la importancia de los juegos durante los procesos de aprendizaje y desarrollo de los niños; por otra parte, investigadores de la educación matemática enfatizan la importancia de la creación de problemas en el aprendizaje de las matemáticas. Esto nos lleva a integrar ambos puntos de vista y explorar la invención de juegos como medio para estimular el pensamiento probabilístico en los niños, usando el marco de la creación de problemas. En ese sentido, analizamos cualitativamente las reacciones de estudiantes en educación primaria al jugar juegos inventados por ellos. En un caso, modificando las reglas de un juego, y en el otro, a partir de un material que se les presentó. Mediante los procesos implementados, encontramos que la invención de juegos, usando el marco de creación de problemas, es un medio que contribuye a incentivar el pensamiento probabilístico de los niños.
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    ASSESSING EARLY PROBABILISTIC THINKING IN CHILDREN (4 - 5 YEARS)
    (Didáctica de la Matemática: Pensamiento Numérico, 2026-01-12)
    Estimular el pensamiento probabilístico desde la infancia es esencial para la alfabetización probabilística de la ciudadanía. Sin embargo, existen escasas herramientas para medir su desarrollo en edades tempranas. Este estudio propone un instrumento para evaluar el pensamiento probabilístico en la infancia (4-5 años), considerando fenómenos aleatorios, lenguaje probabilístico y probabilidad de un evento. Mediante un enfoque cualitativo, se construyeron ítems, se realizaron estudios piloto y un proceso de juicio de expertos, generando evidencias de validez sobre su pertinencia y funcionalidad. Los resultados aportan al diseño de herramientas evaluativas que promuevan el aprendizaje matemático temprano aprovechando las intuiciones probabilísticas infantiles.