The issue of the role of number words in preschoolers' arithmetic development is still open. The development of writing Arabic numerals 1 to 9 under dictation was investigated longitudinally, testing a cohort of 20 children at six-month intervals from age 3.5 to 5.5 years. The specific aim was to examine how children arrive at a correct representation of Arabic numerals, and explore whether this development has a unique or multiple paths.For each subject we were able to observe the types of number notation used at each of the five evaluation periods.The data obtained indicate that, at each age, most children use different types of number representation but also that the path to correct Arabic representation is not unique. We identified five paths to correct numeral writing, which we defined as 1) linear, 2) forward and backward, 3) no symbols, 4) symbols, and 5) an early number developmental path.Keywords: preschool, numbers writing, longitudinal study
IntroductionMany preschoolers are familiar with counting and have some understanding of the meaning of number words (Carey, 2004;Gelman & Gallistel, 1978;Sarnecka & Gelman, 2004). However, the debate on the role that number words play in preschoolers' arithmetic development is still open. For example, Carey (2004) claims that knowledge of number words plays a bootstrapping role in the acquisition of mathematical concepts. On the other hand, Gelman and Butterworth (2005) argue that the numerical domain is ontogenetically independent of language, and that conceptual development does not depend on number-word knowledge.There are many studies on the development of numerical cognition, a body of research that has largely focused on the development of identification or representation of quantity. Over the past two decades, evidence has accumulated to support the hypothesis that children possess innate conceptual principles that guide them in learning how to count during their preschool years (Brannon, 2002;Carey, 2001;Gallistel & Gellman, 2000;Gallistel, Gellman, & Cordes, 2006;Muldoon, Lewis, & Francis, 2007;Wynn, 1995;Xu & Spelke, 2000). For example, some authors have shown that infants (at six months) are able to represent small quantities of objects, using a visuospatial object-file-based system that allows recognition of the numerosity of 3-4 objects (Feigenson, 2005;Xu, 2003), or to estimate large numerosities (e.g., Xu & Arriga, 2007). By the same age, infants are able to detect a change in numerosity when elements are added or removed (e.g., Wynn, 1992).In contrast with the considerable attention given to the acquisition of graphemes as symbolic notation of spoken words (examined intensively since the pioneering studies of Ferreiro & Teberosky, 1984;Ferreiro & Gómez Palacio, 1988), few studies have been conducted about the development of number writing in particular.
Literature Review and Theoretical FrameworkVarious authors have contributed to the description the development of number writing using a cognitive constructive theoretical approach. The fir...