Common brain regions underlying different arithmetic operations as revealed by conjunct fMRI–BOLD activation

Fehr, Thorsten; Code, Chris; Herrmann, Manfred

doi:10.1016/j.brainres.2007.07.043

Cited by 133 publications

(136 citation statements)

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“…may have been due to the differential need for some general-purpose cognitive functions such as working memory (Arsalidou and Taylor, 2011;Christoff and Gabrieli, 2000;Owen et al, 2005). The activation in the middle frontal gyri was attributed to working memory and procedural complexity (Delazer et al, 2003;Fehr and Herrmann, 2007;Kong et al, 2005;Simon et al, 2002;Zhou et al, 2007). Arsalidou and Taylor's meta-analysis (2011) found that solving calculation tasks elicited ALE (activation likelihood estimation) values in more prefrontal areas than solving number tasks.…”

Section: Brain Organization Of Numerical Processingmentioning

confidence: 99%

“…The brain regions around the bilateral intraparietal sulcus are relatively specific to the number-related processes, but the regions for verbal and attentional processes have more general functions. In addition to the parietal cortex, the prefrontal cortex has also been found to be critical for numerical processing (e.g., Arsalidou and Taylor, 2011;Fehr and Herrmann, 2007;Ischebeck et al, 2006;Kong et al, 2005), most likely because it serves the purpose of general information processing, such as the working memory (Arsalidou and Taylor, 2011).…”

Section: Introductionmentioning

confidence: 99%

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Neural correlates of numbers and mathematical terms

2012

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Numerical processing has been demonstrated to be subserved typically by the brain regions around the bilateral intraparietal sulcus (IPS). The goal of the current study was to investigate whether the processing of mathematical terms shared the same brain regions with numerical processing. Healthy adult participants performed semantic distance judgment tasks on five types of materials, including geometric terms, algebraic terms, linguistic terms, words for tools and other common objects, and Arabic numbers. Brain activation was measured with functional magnetic resonance imaging (fMRI). The results showed that geometric terms had greater activation than algebraic terms, linguistic terms and tool words in the horizontal IPS, but algebraic terms did not have greater activation than linguistic terms and tool words in this region. Arabic numbers showed greater activation than non-number materials (including geometric terms, algebraic terms, linguistic terms and tool words) in the bilateral IPS, right inferior frontal gyrus and bilateral middle frontal gyrus, but the non-number materials showed stronger activation in the left inferior frontal gyrus and left middle temporal gyrus. These results suggest that the brain area for the processing of numbers (the left IPS) seems to be involved in semantic processing of geometric terms, but not that of other mathematical terms such as algebraic terms. Both algebraic and geometric terms share similar brain organization with basic semantic processing in the left temporal and frontal regions.

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Section: Brain Organization Of Numerical Processingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Neural correlates of numbers and mathematical terms

2012

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“…Although former studies did not compare advanced mathematics to basic number-processing, the present results suggested that the fronto-parietal regions may serve to increase knowledge based on arithmetical facts. For example, Fehr et al [31] suggested that more difficult arithmetic problems require combined arithmetic facts, which activates the parietal regions [10]. Based on these data, Dehaene et al [6] proposed that the source of mathematical thinking composes of linguistic and visual-spatial neural circuits, both of which are necessary for arithmetic processing.…”

Section: ⅳ Discussionmentioning

confidence: 99%

The Stability of Memory Rules Associative with the Mathematical Thinking Core

Wang¹,

Gu²

2011

IJMECS

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Abstract-Activation of how and where arithmetic operations are displayed in the brain has been observed in various number-processing tasks. However, it remains poorly understood whether stabilized memory of Boolean rules are associated with background knowledge. The present study reviewed behavioral and imaging evidence demonstrating that Boolean problem-solving abilities depend on the core systems of number-processing. The core systems account for a mathematical cultural background, and serve as the foundation for sophisticated mathematical knowledge. The Ebbinghaus paradigm was used to investigate learning-induced changes by functional magnetic resonance imaging (fMRI) in a retrieval task of Boolean rules. Functional imaging data revealed a common activation pattern in the left inferior parietal lobule and left inferior frontal gyrus during all Boolean tasks, which has been used for number-processing processing in former studies. All other regional activations were tasks-specific and prominently distributed in the left thalamus, bilateral parahippocampal gyrus, bilateral occipital lobe, and other subcortices during contrasting stabilized memory retrieval of Boolean tasks and number-processing tasks. The present results largely verified previous studies suggesting that activation patterns due to number-processing appear to reflect a basic anatomical substrate of stability of Boolean rules memory, which are derived from a network originally related to the core systems of number-processing.

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“…Although former studies did not compare advanced mathematics to basic number-processing, the present results suggested that the fronto-parietal regions may serve to increase knowledge based on arithmetical facts. For example, Fehr et al [24] suggested that more difficult arithmetic problems require combined arithmetic facts, which activates the parietal regions [10]. Based on these data, Dehaene et al [6] proposed that the source of mathematical thinking composes of linguistic and visual-spatial neural circuits, both of which are necessary for arithmetic processing.…”

Section: Discussionmentioning

confidence: 99%

The Stability of Boolean Rules Memory Based on the Core Systems of Number-Processing

Wang¹,

Gu²

2011

IJEM

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Activation of how and where arithmetic operations are displayed in the brain has been observed in various number-processing tasks. However, it remains poorly understood whether stabilized memory of Boolean rules are associated with background knowledge. The present study reviewed behavioral and imaging evidence demonstrating that Boolean problem-solving abilities depend on the core systems of number-processing. The core systems account for a mathematical cultural background, and serve as the foundation for sophisticated mathematical knowledge. The Ebbinghaus paradigm was used to investigate learning-induced changes by functional magnetic resonance imaging (fMRI) in a retrieval task of Boolean rules.

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Common brain regions underlying different arithmetic operations as revealed by conjunct fMRI–BOLD activation

Cited by 133 publications

References 50 publications

Neural correlates of numbers and mathematical terms

Neural correlates of numbers and mathematical terms

The Stability of Memory Rules Associative with the Mathematical Thinking Core

The Stability of Boolean Rules Memory Based on the Core Systems of Number-Processing

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