TY - JOUR
T1 - Do First Graders Make Efficient Use of External Number Representations? The Case of the Twenty-Frame
AU - Obersteiner, Andreas
AU - Reiss, Kristina
AU - Ufer, Stefan
AU - Luwel, Koen
AU - Verschaffel, Lieven
N1 - Publisher Copyright:
Copyright © Taylor & Francis Group, LLC.
PY - 2014/10/26
Y1 - 2014/10/26
N2 - External number representations are commonly used throughout the first years of instruction. The twenty-frame is a grid that contains two rows of 10 dots each, and within each row, dots are organized in two groups of five. The assumption is that children can make use of these structures for enumerating the dots, rather than relying on one-by-one counting. We compared first-grade children's performance on two types of computerized enumeration tasks, in which between one and 20 dots were presented in random arrangements or on a twenty-frame. The number of dots was a strong predictor of response times and accuracy rates in the enumeration task with random arrangements but not in the twenty-frame task. Performance on the twenty-frame task was correlated with performance on a number and arithmetic test, even when other cognitive variables were statistically controlled. We discuss these findings in the light of theories on utilizing external representations to support numerical learning.
AB - External number representations are commonly used throughout the first years of instruction. The twenty-frame is a grid that contains two rows of 10 dots each, and within each row, dots are organized in two groups of five. The assumption is that children can make use of these structures for enumerating the dots, rather than relying on one-by-one counting. We compared first-grade children's performance on two types of computerized enumeration tasks, in which between one and 20 dots were presented in random arrangements or on a twenty-frame. The number of dots was a strong predictor of response times and accuracy rates in the enumeration task with random arrangements but not in the twenty-frame task. Performance on the twenty-frame task was correlated with performance on a number and arithmetic test, even when other cognitive variables were statistically controlled. We discuss these findings in the light of theories on utilizing external representations to support numerical learning.
UR - http://www.scopus.com/inward/record.url?scp=84919678040&partnerID=8YFLogxK
U2 - 10.1080/07370008.2014.948681
DO - 10.1080/07370008.2014.948681
M3 - Article
AN - SCOPUS:84919678040
SN - 0737-0008
VL - 32
SP - 353
EP - 373
JO - Cognition and Instruction
JF - Cognition and Instruction
IS - 4
ER -