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What children's number naming errors tell us about early understanding of multidigit numbers
Marina Vasilyeva1, Elida Laski2, Aleksandr Veraksa3
1Lynch School of Education and Human Development, Boston College, Chestnut Hill, MA 02467, USA; Faculty of Psychology, Lomonosov Moscow State University, Moscow 119991, Russia.
Insights
Preschoolers improve number identification with age by reducing structural errors. Boys make fewer structural errors than girls, and understanding base-10 structure aids accurate naming of multidigit numbers.
Area of Science:
- Cognitive Development
- Developmental Psychology
- Educational Psychology
Background:
- Foundational symbolic numeric skills, like number identification, are crucial for mathematical development.
- Children's understanding of multidigit numbers develops progressively, involving distinct error types.
Purpose of the Study:
- To investigate the development of number identification in Russian preschoolers.
- To analyze age-related changes in accuracy and error types during multidigit number naming.
- To explore the relationship between number naming accuracy and conceptual understanding of the base-10 system.
Main Methods:
- Two studies were conducted with Russian preschoolers aged 51–77 months (Study 1, N=350) and 61–74 months (Study 2, N=110).
- Study 1 examined age-related changes in number naming accuracy and categorized errors as syntactic (structural) or lexical (nonstructural).
- Study 2 assessed the association between double-digit number naming accuracy, error types, and base-10 conceptual understanding.
Main Results:
- Number reading accuracy increased with age, mainly due to a reduction in syntactic errors.
- Boys exhibited fewer syntactic errors compared to girls.
- Accuracy in naming double-digit numbers correlated with conceptual understanding of the base-10 structure; syntactic errors were negatively associated with base-10 representations.
Conclusions:
- Developmental improvements in number identification are linked to overcoming structural naming challenges.
- Gender differences exist in specific error patterns during number identification.
- Conceptual grasp of the base-10 system is vital for accurate multidigit number naming in early childhood, influencing mathematical trajectories.
Abstract:
This investigation examined the nature and development of a foundational symbolic numeric skill-number identification-focusing on children's emerging knowledge of multidigit numbers. Two studies were conducted with Russian preschoolers. Study 1 (N = 350; 51-77 months of age) investigated age-related changes in the accuracy of number naming and in the types of errors children produced. The errors fell into distinct categories: syntactic (structural errors such as naming each digit separately without using place-value markers) and lexical (nonstructural errors such as replacing the name of a digit with the name of another digit). Number reading accuracy improved with age, primarily due to a decreased frequency of syntactic errors. Boys made fewer syntactic errors than girls. Study 2 (N = 110; 61-74 months of age) showed that accuracy of naming double-digit numbers was related to conceptual understanding of the base-10 numeric structure. The frequency of syntactic errors in number naming was negatively associated with the use of base-10 representations, whereas lexical errors were not related to children's ability to represent base-10 number structure. Implications for understanding children's mathematics trajectories are discussed.
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