A SYMBOLIC KNOWLEDGE OF NUMBERS: A WINDOW INTO THE EARLY UNDERSTANDING OF NUMERIC STRUCTURE

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Marina Vasilyeva
Lindsey Weber
Lauren Crawford
Aleksander Veraksa

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INTRODUCTION. Accumulating evidence, primarily from English-speaking children, indicates that acquisition of multi-digit numbers begins prior to formal math instruction. The present study replicated this phenomenon in a novel cultural/linguistic context and extended the current knowledge of early symbolic numeric development. METHOD. The study involved a sample of Russian preschoolers who took part in two testing sessions. In one session, children completed symbolic numeric tasks: writing and reading of multi-digit numbers. In another session, they completed a non-verbal intelligence task. Children’s performance on the two numeric tasks was compared, controlling for their general intelligence level. RESULTS. Russian preschoolers found the reading task more challenging than the corresponding writing task. In particular, when reading numbers that included two or three digits, children were more likely to make conceptual errors that revealed the difficulty of understanding the hierarchical structure of multi-digit numbers. In contrast, the frequency of errors in which the structure of the multi-digit number was preserved (for example, substituting one of the digits) was similar across the writing and reading tasks. DISCUSSION. Consistent with prior work, preschoolers in the present study revealed a partial knowledge of multi-digit numbers that emerges prior to formal instruction and is likely based on informal learning. The relative difficulty of the reading task -compared to the writing task- suggests that at the early stages of learning symbolic numbers children may require additional cues about numeric structure, which may be provided by spoken number names. The written numerals do not provide linguistic cues about numeric structure, making the reading task more challenging. Implications of these findings for early educational practice are discussed.

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Vasilyeva, M., Weber, L., Crawford, L., & Veraksa, A. (2018). A SYMBOLIC KNOWLEDGE OF NUMBERS: A WINDOW INTO THE EARLY UNDERSTANDING OF NUMERIC STRUCTURE. Bordón. Revista De Pedagogía, 70(3), 147–163. https://doi.org/10.13042/Bordon.2018.62040
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Marina Vasilyeva, Boston College, Lynch School of Education

Dr. Vasilyeva is an associate professor at Boston College. Her research focuses on children’s  learning in school and home contexts. She has investigated mechanisms underlying cross-national and socio-economic differences in math skills of preschool and elementary school students. She has published in internationally–recognized journals and designed assessment tools to measure early cognitive skills that are used by researchers in several countries. 

Lindsey Weber, Boston College, Lynch School of Education

Lindsey Weber is a doctoral student at Boston College. She studies math learning in early childhood. Her research also examines motivation and educational achievement of various student populations ranging from preschool to college students.

Lauren Crawford, Boston College, Lynch School of Education

Lauren Crawford is a doctoral student at Boston College. Her research interests include early cognitive development with a focus on math learning. She has studied math instruction and the acquisition of mathematical concepts in preschool and elementary school students. 

Aleksander Veraksa, Lomonosov Moscow State University, Faculty of Psychology

Dr. Veraksa is a professor of psychology at Lomonosov State University. His research encompasses different areas of developmental psychology with a particular focus on the growth of executive functions in young children. His work has explored the role of culture and educational context in facilitating the development of executive functions. 

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