ERIC Number: EJ905456
Record Type: Journal
Publication Date: 2010
Abstractor: As Provided
Reference Count: 0
How 15 Hundred Is like 15 Cherries: Effect of Progressive Alignment on Representational Changes in Numerical Cognition
Thompson, Clarissa A.; Opfer, John E.
Child Development, v81 n6 p1768-1786 Nov-Dec 2010
How does understanding the decimal system change with age and experience? Second, third, sixth graders, and adults (Experiment 1: N = 96, mean ages = 7.9, 9.23, 12.06, and 19.96 years, respectively) made number line estimates across 3 scales (0-1,000, 0-10,000, and 0-100,000). Generation of linear estimates increased with age but decreased with numerical scale. Therefore, the authors hypothesized highlighting commonalities between small and large scales (15:100::1500:10000) might prompt children to generalize their linear representations to ever-larger scales. Experiment 2 assigned second graders (N = 46, mean age = 7.78 years) to experimental groups differing in how commonalities of small and large numerical scales were highlighted. Only children experiencing progressive alignment of small and large scales successfully produced linear estimates on increasingly larger scales, suggesting analogies between numeric scales elicit broad generalization of linear representations.
Descriptors: Experimental Groups, Grade 6, Grade 2, Age Differences, Grade 3, Adults, Classification, Number Concepts, Schemata (Cognition), Child Development
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Publication Type: Journal Articles; Reports - Evaluative
Education Level: Adult Education; Elementary Education; Grade 2; Grade 3; Grade 6
Authoring Institution: N/A