Two-digit number processing: holistic, decomposed or hybrid? A computational modelling approach

2010 ◽  
Vol 75 (4) ◽  
pp. 290-306 ◽  
Author(s):  
K. Moeller ◽  
S. Huber ◽  
H.-C. Nuerk ◽  
K. Willmes
2021 ◽  
pp. 108152
Author(s):  
Ryan Smith ◽  
Ahmad Mayeli ◽  
Samuel Taylor ◽  
Obada Al Zoubi ◽  
Jessyca Naegele ◽  
...  

2021 ◽  
Vol 443 ◽  
pp. 109449
Author(s):  
Abel Ansporthy Mamboleo ◽  
Crile Doscher ◽  
Adrian Paterson

Author(s):  
Hans-Christoph Nuerk ◽  
Korbinian Moeller ◽  
Klaus Willmes

Only recently the focus in numerical cognition research has considered multi-digit number processing as a relatively new and yet understudied domain in mathematical cognition. In this chapter: (i) we argue that single-digit number processing is not sufficient to understand multi-digit number processing; (ii) provide an overview on which representations and effects have been investigated for multi-digit numbers; (iii) suggest a conceptual distinction between place-identification, place-value activation, and place-value computation; (iv) identify language influences on multi-digit number processing along that conceptual distinction; and (v) argue that for numerical development indices of multi-digit number processing may be more suitable predictors of later arithmetical performance than classical single-digit measure such as the distance effect or non-numerical variables (e.g., working memory). In the final section, we summarize the important issues in multi-digit number processing, outline future directions and try to encourage readers to contribute to a new, exciting, yet understudied domain of numerical cognition.


2011 ◽  
Vol 109 (3) ◽  
pp. 263-274 ◽  
Author(s):  
Winnie Wai Lan Chan ◽  
Terry K. Au ◽  
Joey Tang

2013 ◽  
Vol 4 ◽  
Author(s):  
E. Klein ◽  
J. Bahnmueller ◽  
A. Mann ◽  
S. Pixner ◽  
L. Kaufmann ◽  
...  

2009 ◽  
Vol 217 (3) ◽  
pp. 176-177
Author(s):  
Hans-Christoph Nuerk ◽  
Martin H. Fischer ◽  
Klaus Willmes

2011 ◽  
Vol 219 (1) ◽  
pp. 71-71

This section contains a short contribution on Postgraduate Education for Dyscalculia Therapists


2012 ◽  
Vol 220 (2) ◽  
pp. 78-89 ◽  
Author(s):  
Helga Krinzinger ◽  
Guilherme Wood ◽  
Klaus Willmes

Gender differences in numerical domains have frequently been reported, but typically only from high-school age onwards. Recently, we found performance differences in favor of primary school boys in multi-digit number processing. Several underlying factors have been suggested to explain general differences in multi-digit number processing (such as visual-spatial working memory capacity), gender differences in mathematics (such as attitudes toward mathematics), and gender differences in multi-digit number processing (such as visual-spatial abilities). To date, no study has tested the concurrent impact of these factors on the development of multi-digit number processing in primary school children; thus, we applied structural equation modeling to a longitudinal dataset of 140 primary school children. Our main result was that gender exerted the strongest influence on multi-digit number processing, which was partly mediated by attitudes toward mathematics. Furthermore, general visual-spatial abilities (but not visual-spatial working memory) had a strong impact on individual differences in multi-digit number processing. These results are discussed in light of the psychobiosocial view.


2011 ◽  
pp. 418-465
Author(s):  
Eugene Ch’ng

The complexity of nature can only be solved by nature’s intrinsic problem-solving approach. Therefore, the computational modelling of nature requires careful observations of its underlying principles in order that these laws can be abstracted into formulas suitable for the algorithmic configuration. This chapter proposes a novel modelling approach for biodiversity informatics research. The approach is based on the emergence phenomenon for predicting vegetation distribution patterns in a multi-variable ecosystem where Artificial Life-based vegetation grow, compete, adapt, reproduce and conquer plots of landscape in order to survive their generation. The feasibility of the modelling approach presented in this chapter may provide a firm foundation not only for predicting vegetation distribution in a wide variety of landscapes, but could also be extended for studying biodiversity and the loss of animal species for sustainable management of resources.


Author(s):  
Eugene Ch’ng

The complexity of nature can only be solved by nature’s intrinsic problem-solving approach. Therefore, the computational modelling of nature requires careful observations of its underlying principles in order that these laws can be abstracted into formulas suitable for the algorithmic configuration. This chapter proposes a novel modelling approach for biodiversity informatics research. The approach is based on the emergence phenomenon for predicting vegetation distribution patterns in a multi-variable ecosystem where Artificial Life-based vegetation grow, compete, adapt, reproduce and conquer plots of landscape in order to survive their generation. The feasibility of the modelling approach presented in this chapter may provide a firm foundation not only for predicting vegetation distribution in a wide variety of landscapes, but could also be extended for studying biodiversity and the loss of animal species for sustainable management of resources.


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