Young children's mapping between arrays, number words, and digits.

Area of Science:

• Cognitive Development
• Numerical Cognition
• Early Childhood Education

Background:

• Children's understanding of numerical concepts develops over time.
• The ability to connect different numerical representations (like number words, digits, and arrays) is crucial for mathematical learning.
• Previous research has explored numerical development, but the precise sequence of mapping between specific representations requires further investigation.

Purpose of the Study:

• To determine the developmental trajectory of mapping between three numerical representations: arrays, spoken number words, and digits.
• To investigate how mapping abilities differ between small (1-3) and large (4-6) numbers in young children.
• To understand the specific order in which children acquire the ability to map between these numerical formats.

Main Methods:

• A cross-sectional study involving 3-, 4-, and 5-year-old children.
• Children completed tasks requiring mapping between pairs of numerical representations (array-to-number word, number word-to-array, array-to-digit, digit-to-array, number word-to-digit, digit-to-number word).
• Performance was assessed for both small (1-3) and large (4-6) quantities within each mapping task.

Main Results:

• Five-year-olds achieved ceiling performance across all mapping tasks.
• Three-year-olds successfully mapped arrays to number words for small quantities but struggled with large quantities and other mapping pairs.
• Four-year-olds demonstrated equal proficiency in mapping arrays to number words and arrays to digits, but showed lower performance when mapping number words to digits.

Conclusions:

• Children appear to learn to map number words to arrays first, followed by mapping digits to arrays.
• The most challenging mapping for young children is between number words and digits, suggesting a later developmental stage.
• Findings underscore the importance of studying the acquisition of digit representation independently, rather than assuming direct transfer from number word knowledge.