scholarly journals Hybrid number representations with bounded carry propagation chains

Author(s):  
D.S. Phatak ◽  
I. Koren ◽  
H. Choi
2020 ◽  
Vol 67 (11) ◽  
pp. 2472-2476
Author(s):  
Shan Cao ◽  
Hu Zheng ◽  
Ting Lin ◽  
Shunqing Zhang ◽  
Shugong Xu

1997 ◽  
Author(s):  
John Whalen ◽  
C. R. Gallistel ◽  
Rachel Gelman

2000 ◽  
Vol 98 (4) ◽  
pp. 464-478 ◽  
Author(s):  
G. V. Davydov ◽  
I. M. Davydovà

Author(s):  
Thomas J. Faulkenberry ◽  
Alexander Cruise ◽  
Samuel Shaki

Abstract. Though recent work in numerical cognition has supported a strong tie between numerical and spatial representations (e.g., a mental number line), less is known about such ties in multi-digit number representations. Along this line, Bloechle, Huber, and Moeller (2015) found that pointing positions in two-digit number comparison were biased leftward toward the decade digit. Moreover, this bias was reduced in unit-decade incompatible pairs. In the present study, we tracked computer mouse movements as participants compared two-digit numbers to a fixed standard (55). Similar to Bloechle et al. (2015) , we found that trajectories exhibited a leftward bias that was reduced for unit-decade incompatible comparisons. However, when positions of response labels were reversed, the biases reversed. That is, we found a rightward bias for compatible pairs that was reduced for incompatible pairs. This result calls into question a purely embodied representation of place value structure and instead supports a competition model of two-digit number representation.


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