Mapping arithmetic problem solving strategies in the brain: The role of the left angular gyrus in arithmetic fact retrieval

NeuroImage ◽  
2009 ◽  
Vol 47 ◽  
pp. S111 ◽  
Author(s):  
R.H. Grabner ◽  
D. Ansari ◽  
K. Koschutnig ◽  
G. Reishofer ◽  
F. Ebner ◽  
...  
2021 ◽  
Author(s):  
Stefan Smaczny ◽  
Christoph Sperber ◽  
Stefanie Jung ◽  
Korbinian Moeller ◽  
Hans-Otto Karnath ◽  
...  

Arithmetic fact retrieval has been suggested to recruit a left-lateralized network comprising perisylvian language areas, parietal areas such as the angular gyrus (AG), and subcortical structures such as the hippocampus. However, the underlying white matter connectivity of these areas has not been evaluated systematically so far. Using simple multiplication problems, we evaluated how disconnections in parietal brain areas affected arithmetic fact retrieval following stroke. We derived disconnectivity measures by jointly considering data from n=73 patients with acute unilateral lesions in either hemisphere and a white-matter tractography atlas (HCP-842) using the Lesion Quantification Toolbox (LQT). Whole-brain voxel-based analysis indicated a left-hemispheric cluster of white matter fibers connecting the AG and superior temporal areas to be associated with a fact retrieval deficit. Subsequent analyses of direct grey-to-grey matter disconnections revealed that disconnections of additional left-hemispheric areas (e.g., between the superior temporal gyrus and parietal areas) were significantly associated with the observed fact retrieval deficit. Results imply that disconnections of parietal areas (i.e., the AG) with language-related areas (i.e., superior and middle temporal gyri) seem specifically detrimental to arithmetic fact retrieval. This suggests that arithmetic fact retrieval recruits a widespread left-hemispheric network and emphasizes the relevance of white matter connectivity for number processing.


1997 ◽  
Vol 9 (3) ◽  
pp. 409-417 ◽  
Author(s):  
John Whalen ◽  
Michael McCloskey ◽  
Ronald P. Lesser ◽  
Barry Gordon

Although substantial progress has been made in characterizing the cognitive processes involved in simple arithmetic, the localization of these processes in the brain is not yet well understood. In this article we consider the localization of a specific arithmetic process, the retrieval of arithmetic table facts from memory. We report a single-patient study in which cortical stimulation was used to create transient disruption of brain activity in localized regions of the cortex. We show that stimulation at a left parietal site impaired performance on simple multiplication problems and further that the impairment reflected stimulation-induced disruption of arithmetic fact retrieval. Our findings support the hypothesis (e.g., Warrington, 1982) that the left parietal lobe is implicated in the arithmetic fact retrieval process.


2020 ◽  
pp. 1-4
Author(s):  
Galitskaya Viktoriya ◽  
Drigas Athanasios ◽  
Galitskaya Viktoriya

The present article is a literature review of recent researches that have to do with children with mathematical learning disabilities especially dyscalculia and ageometria. Our focus is on researches regarding neurosciences, mainly on the brain structure and the areas where various mathematical processes are performed. In addition, we present researches that show the role of hippocampus during arithmetic problem solving.


2017 ◽  
Vol 87 (4) ◽  
pp. 647-663 ◽  
Author(s):  
Ulf Träff ◽  
Kenny Skagerlund ◽  
Linda Olsson ◽  
Rickard Östergren

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Katherine M. Robinson ◽  
Adam K. Dubé

Current models of strategy choice do not account for children's attitudes towards different problem solving strategies. Grade 2, 3, and 4 students solved three sets of three-term addition problems. On inversion problems (e.g., 4 + 8 − 8), if children understand the inverse relation between the operations, no calculations are required. On associativity problems (e.g., 5 + 27 − 23), if children understand the associative relation between the operations, problem solving can be facilitated by performing subtraction before addition. A brief intervention involving demonstrations of different problem solving strategies followed the first problem set. Shortcut use increased after the intervention, particularly for students who preferred shortcuts to the left-to-right algorithm. In the third set, children were given transfer problems (e.g., 8 + 4 − 8, 4 − 8 + 8, 27 + 5 − 23). Shortcut use was similar to first set suggesting that transfer did occur. That shortcut use increased the most for students who had positive attitudes about the shortcuts suggests that attitudes have important implications for subsequent arithmetic performance.


2013 ◽  
Author(s):  
Graeme E Smith

The Extended Consciousness builds on the strengths of the proto conscious and the core consciousness to add a sense of experience onto the basic alertness provided by core consciousness. The Angular Gyrus Model of Consciousness provides some hints as to how the experential image is built. In this article I explore the role of the Temporal-Parietal Fiber Intersection Area in providing links between other parts of the brain and the Angular Gyrus that encourage the formation of the experential image.


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