The semantic system is involved in mathematical problem solving

Zhou, Xinlin; Li, Mengyi; Li, Leinian; Zhang, Yiyun; Cui, Jiaxin; Liu, Jie; Chen, Chuansheng

doi:10.1016/j.neuroimage.2017.11.017

Cited by 35 publications

(66 citation statements)

References 91 publications

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“…In line with the literature, the current study further confirms that reading sentences with and without arithmetic processing engages distinct brain responses that are behaviorally salient to each task (Amalric & Dehaene, 2016;Thioux et al, 2005;Zhou et al, 2018). In line with the literature, the current study further confirms that reading sentences with and without arithmetic processing engages distinct brain responses that are behaviorally salient to each task (Amalric & Dehaene, 2016;Thioux et al, 2005;Zhou et al, 2018).…”

Section: Discussionsupporting

confidence: 88%

“…These findings are consistent with results of a study by Zhou et al wherein word problems with more verbal reasoning activated stronger AG and MTG than word problems with large number quantity(Zhou et al, 2018) These findings are consistent with results of a study by Zhou et al wherein word problems with more verbal reasoning activated stronger AG and MTG than word problems with large number quantity(Zhou et al, 2018) …”

supporting

confidence: 92%

“…Furthermore, arithmetic knowledge typically activates greater levels of IPS than nonarithmetic knowledge (Amalric & Dehaene, 2016;Newman et al, 2011;Thioux, Pesenti, Costes, De Volder, & Seron, 2005). Conversely, and in line with Zhou's study (Zhou et al, 2018), nonarithmetic word problems were expected to be associated with stronger activations of AG and MTG. Conversely, and in line with Zhou's study (Zhou et al, 2018), nonarithmetic word problems were expected to be associated with stronger activations of AG and MTG.…”

supporting

confidence: 53%

“…In line with the behavioral findings, the fronto-insular-parietal circuits have been consistently identified when investigating neural correlates of arithmetic word problem-solving (Lee et al, 2007;Newman, Willoughby, & Pruce, 2011;Prabhakaran, Rypma, & Gabrieli, 2001;Zhou et al, 2018). Prabhakaran et al (2001) investigated brain responses of reading word problems involving the four basic arithmetic operations in adults.…”

mentioning

confidence: 71%

“…Word problems including large quantity calculation are associated with AI and dACC activity, whereas problems with verbal reasoning and small quantity manipulation require language areas such as AG and MTG (Zhou et al, 2018). Furthermore, arithmetic knowledge typically activates greater levels of IPS than nonarithmetic knowledge (Amalric & Dehaene, 2016;Newman et al, 2011;Thioux, Pesenti, Costes, De Volder, & Seron, 2005).…”

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confidence: 99%

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Fronto‐insular‐parietal network engagement underlying arithmetic word problem solving

Chang

Lung

et al. 2018

Human Brain Mapping

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Mathematical word problems are ubiquitous and standard for teaching and evaluating generalization of mathematical knowledge for real‐world contexts. It is therefore concerning that the neural mechanisms of word problem solving are not well understood, as these insights represent strong potential for improving education and remediating deficits in this domain. Here, we investigate neural response to word problems via functional magnetic resonance imaging (fMRI). Healthy adults performed sentence judgment tasks on word problems that either contained one‐step mathematical operations, or nonarithmetic judgments on parallel narratives without any numerical information. Behavioral results suggested that the composite efficiency measurement of combining accuracy and RT did not differ between the two problem types. Arithmetic sentence judgments elicited greater activation in the fronto‐insular‐parietal network including intraparietal sulcus (IPS), dorsolateral prefrontal cortex (PFC), and anterior insula (AI) than narrative sentence judgment. Narrative sentence judgments, conversely, resulted in greater activation predominantly in the left ventral PFC, angular gyrus and perisylvian cortex compared with reading arithmetic sentences. Moreover, task‐dependent functional connectivity analyses showed the AI circuits were more strongly coupled with IPS during arithmetic sentence judgments than nonarithmetic sentences. Finally, activations in the IPS during arithmetic were highly correlated with out‐of‐scanner performance on a distinct set of problems with the same characteristics. These results show arithmetic word problem performance differences may rely more heavily on fronto‐insular‐parietal circuits for mathematical model building than narrative text comprehension of similar difficulty. More broadly, our study suggests that quantitative measurements of brain mechanisms can provide pivotal role for uncovering crucial arithmetic skills.

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Section: Discussionsupporting

confidence: 88%

supporting

confidence: 92%

supporting

confidence: 53%

mentioning

confidence: 71%

mentioning

confidence: 99%

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Fronto‐insular‐parietal network engagement underlying arithmetic word problem solving

Chang

Lung

et al. 2018

Human Brain Mapping

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Three‐component mathematics for students

Zhou

Zeng

2021

Infant and Child Development

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There has been a long-standing debate on situational and symbolic mathematics, which is associated with how to design and execute mathematics education for all students.Brain studies can give some clues for how to deal with the debate. There are situational, verbalized, and visuospatial brain networks and the connectivity among the networks, which suggest the representation of mathematical knowledge should be situational, verbalized, and symbolic. Moreover, the representation should be mapped onto one another. Previous studies have shown the importance of situational and verbalized mathematics, but they are typically treated as preliminary and auxiliary introductions for formal symbolic mathematics. Each of the three mathematics types and their mapping would be the core learning goal in mathematics education.

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Arithmetic in the adult deaf signing brain

Andin

Elwér

Mäki‐Torkko

2019

J of Neuroscience Research

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We have previously shown that deaf signers recruit partially different brain regions during simple arithmetic compared to a group of hearing non-signers, despite similar performance. Specifically, hearing individuals show more widespread activation in brain areas that have been related to the verbal system of numerical processing, i.e., the left angular and inferior frontal gyrus, whereas deaf individuals engaged brain areas that have been related to the quantity system of numerical processing, i.e., the right horizontal intraparietal sulcus. This indicates that compared to hearing non-signers, deaf signers can successfully make use of processes located in partially different brain areas during simple arithmetic. In this study, which is a conceptual replication and extension of the above-presented study, the main aim is to understand similarities and differences in neural correlates supporting arithmetic in deaf compared to hearing individuals. The primary objective is to investigate the role of the right horizontal intraparietal gyrus, the left inferior frontal gyrus, the hippocampus, and the left angular gyrus during simple and difficult arithmetic and how these regions are connected to each other. A second objective is to explore what other brain regions support arithmetic in deaf signers. Up to 34 adult deaf signers and the same amount of hearing non-signers will be enrolled in an functional magnetic resonance imaging study that will include simple and difficult subtraction and multiplication. Brain imaging data will be analyzed using whole-brain analysis, region of interest analysis and connectivity analysis. This is the first study to investigate neural underpinnings of arithmetic of different difficulties in deaf individuals. K E Y W O R D Sarithmetic, deafness, functional magnetic resonance imaging, RRID:SCR_009550, sign language

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The semantic system is involved in mathematical problem solving

Cited by 35 publications

References 91 publications

Fronto‐insular‐parietal network engagement underlying arithmetic word problem solving

Fronto‐insular‐parietal network engagement underlying arithmetic word problem solving

Three‐component mathematics for students

Arithmetic in the adult deaf signing brain

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