This study assessed whether a sample of two hundred seven 3- to 7-year-olds could interpret multidigit numerals using simple identification and comparison tasks. Contrary to the view that young children do not understand place value, even 3-year-olds demonstrated some competence on these tasks. Ceiling was reached by first grade. When training was…

Do typical arithmetic problems hinder learning of mathematical equivalence? Second and third graders (7-9 years old; N= 80) received lessons on mathematical equivalence either with or without typical arithmetic problems (e.g., 15 + 13 = 28 vs. 28 = 28, respectively). Children then solved math equivalence problems (e.g., 3 + 9 + 5 = 6 + __),…

Used a modification of Akhtar, Carpenter, and Tomasello's (1996) task involving interpretation of novel nouns to test whether 18- to 28-month-olds' smart word learning derived from general attention and memory processes rather than knowledge about the communicative intents of others. Findings similar to those of Akhtar and colleagues suggest that…