Resumen

MEDINA RODRIGUEZ, Diego Alonso. Understanding Place Value: Numerical Equivalence and Additive Composition as Predictors for Writing Numerals. Av. Psicol. Latinoam. [online]. 2023, vol.41, n.2, pp.1-23.  Epub 24-Oct-2023. ISSN 1794-4724.  https://doi.org/10.12804/revistas.urosario.edu.co/apl/a.9882.

The place value is a fundamental property of the base-10 system representation formats, and its understanding facilitates the mathematical performance of children in different school grades. Some research suggests that notions such as additive composition and numerical equivalence participate in the emergence of the understanding of this principle. However, few studies have attempted to analyze the relationship between these notions or have been interested in investigating -from a transcoding perspective numerical- how these affect the production of Arabic numerals during the initial processes of school learning. This research explores how some invariants of the base-10 system: Additive Composition and Numerical Equivalence, facilitate the place value mastery and the numerical writing of children. First-grade students (n= 96) linked to public schools in the city of Cali, Colombia, in a quasi-experimental experimental study with a control group, which involves the application of different intervention processes to each experimental group: (a) numerical equivalence and (b) additive composition. The results suggest that both treatments facilitate the place value understanding and generate different effects on comprehending and producing Arabic numerals. In addition, analyses reveal significant changes between applications for the experimental groups but not for the group control, which specifically evidences both the additive composition and the numerical equivalence are predictors in correct number writing.

Palabras clave : Place value; number notation; numerical equivalence; additive composition; number sense; number transcoding.

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