Premium
What Counts? Sources of Knowledge in Children’s Acquisition of the Successor Function
Author(s) -
Schneider Rose M.,
Sullivan Jessica,
Guo Kaiqi,
Barner David
Publication year - 2021
Publication title -
child development
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.103
H-Index - 257
eISSN - 1467-8624
pISSN - 0009-3920
DOI - 10.1111/cdev.13524
Subject(s) - successor cardinal , psychology , leverage (statistics) , function (biology) , set (abstract data type) , arithmetic , mathematics , statistics , computer science , mathematical analysis , evolutionary biology , biology , programming language
Although many U.S. children can count sets by 4 years, it is not until 5½–6 years that they understand how counting relates to number—that is, that adding 1 to a set necessitates counting up one number. This study examined two knowledge sources that 3½‐ to 6‐year‐olds ( N = 136) may leverage to acquire this “successor function”: (a) mastery of productive rules governing count list generation; and (b) training with “+1” math facts. Both productive counting and “+1” math facts were related to understanding that adding 1 to sets entails counting up one number in the count list; however, even children with robust successor knowledge struggled with its arithmetic expression, suggesting they do not generalize the successor function from “+1” math facts.