NotesFAQContact Us
Search Tips
Peer reviewed Peer reviewed
Direct linkDirect link
ERIC Number: EJ872832
Record Type: Journal
Publication Date: 2010-Jan
Pages: 8
Abstractor: As Provided
ISSN: ISSN-0021-8251
The Older of Two Trees: Young Children's Development of Operational Time
Kamii, Constance; Russell, Kelly A.
Journal for Research in Mathematics Education, v41 n1 p6-13 Jan 2010
Piaget (1971) made a distinction between intuitive (preoperational) time and operational (logico-mathematical) time. According to Piaget, operational time develops around 7-8 years of age and is characterized by children's ability to deduce, for example, that if A was born before B, A will always be older than B. When time is still intuitive, children base their judgments of age on what is observable (e.g., people's height). With the aid of 11 pictures of an apple tree and a pear tree taken on six consecutive birthdays, 184 children in grades K-5 were individually asked, at a specific time, if two trees were the same age or if one was older than the other. Operational time was demonstrated by 79% of these children by grade 3. (Contains 2 figures and 3 tables.)
National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Research
Education Level: Elementary Education; Kindergarten
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A