Basic number processing and difficulties in single-digit arithmetic: Evidence from Velo-Cardio-Facial Syndrome

Cortex ◽  
2009 ◽  
Vol 45 (2) ◽  
pp. 177-188 ◽  
Author(s):  
Bert De Smedt ◽  
Bert Reynvoet ◽  
Ann Swillen ◽  
Lieven Verschaffel ◽  
Bart Boets ◽  
...  
2018 ◽  
Author(s):  
Thomas J. Faulkenberry ◽  
Matthias Witte ◽  
Matthias Hartmann

Many recent studies in numerical cognition have moved beyond the use of purely chronometric techniques in favor of methods which track the continuous dynamics of numerical processing. Two examples of such techniques include eye tracking and hand tracking (or computer mouse tracking). To reflect this increased concentration on continuous methods, we have collected a group of 5 articles that utilize these techniques to answer some contemporary questions in numerical cognition. In this editorial, we discuss the two paradigms and provide a brief review of some of the work in numerical cognition that has profited from the use of these techniques. For both methods, we discuss the past research through the frameworks of single digit number processing, multidigit number processing, and mental arithmetic processing. We conclude with a discussion of the papers that have been contributed to this special section and point to some possible future directions for researchers interested in tracking the continuous dynamics of numerical processing.


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.


Author(s):  
Silke M. Göbel

Basic number processing skills in individuals with reading difficulties (RD) are intact. However, children and adults with RD show clear difficulties in arithmetic, in particular in retrieving known answers from long-term memory (fact retrieval). Fact retrieval deficits are associated with weaknesses in phonological awareness, the ability to segment and manipulate speech sounds. The left angular gyrus has been suggested as a site of neurological overlap between RD and fact retrieval deficits. While there is evidence for an involvement of the angular gyrus in fact retrieval in adults, the evidence for children is less clear. The same genetic risk factors may underlie difficulties in reading and mathematics and cause the high co-morbidity between RD and mathematical difficulties. Implications for interventions are discussed.


2009 ◽  
Vol 24 (4) ◽  
pp. 371-386 ◽  
Author(s):  
K. Moeller ◽  
S. Neuburger ◽  
L. Kaufmann ◽  
K. Landerl ◽  
H.-C. Nuerk

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