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Modality-Dependent or Modality-Independent Processing in Mental Arithmetic: Evidence From Unimpaired Auditory Multiplication for a Patient With Left Frontotemporal Stroke

Published online by Cambridge University Press:  23 June 2017

Dazhi Cheng
Affiliation:
Department of Pediatric Neurology, Capital Institute of Pediatrics, Beijing, China
Haiyan Wu
Affiliation:
Institute of Psychology, Chinese Academy of Sciences, Beijing, China
Li Yuan
Affiliation:
State Key Laboratory of Cognitive Neuroscience and Learning, Beijing Normal University, Beijing, China Advanced Innovation Center for Future Education, Siegler Center for Innovative Learning, Beijing Normal University, Beijing, China
Rui Xu
Affiliation:
Institute of Basic Research in Clinical Medicine, China Academy of Chinese Medical Sciences, Beijing, China
Qian Chen
Affiliation:
Department of Pediatric Neurology, Capital Institute of Pediatrics, Beijing, China
Xinlin Zhou*
Affiliation:
State Key Laboratory of Cognitive Neuroscience and Learning, Beijing Normal University, Beijing, China Advanced Innovation Center for Future Education, Siegler Center for Innovative Learning, Beijing Normal University, Beijing, China
*
Correspondence and reprint requests to: Xinlin Zhou, State Key Laboratory of Cognitive Neuroscience and Learning, Institute of Cognitive Neuroscience and Learning, Beijing Normal University, Beijing 100875, China; and Qian Chen, Department of Pediatric Neurology, Capital Institute of Pediatrics, Beijing 100020, China. Email: [email protected], [email protected].

Abstract

Objectives: Mental arithmetic is essential to daily life. Researchers have explored the mechanisms that underlie mental arithmetic. Whether mental arithmetic fact retrieval is dependent on surface modality or knowledge format is still highly debated. Chinese individuals typically use a procedure strategy for addition; and they typically use a rote verbal strategy for multiplication. This provides a way to examine the effect of surface modality on different arithmetic operations. Methods: We used a series of neuropsychological tests (i.e., general cognitive, language processing, numerical processing, addition, and multiplication in visual and auditory conditions) for a patient who had experienced a left frontotemporal stroke. Results: The patient had language production impairment; but preserved verbal processing concerning basic numerical abilities. Moreover, the patient had preserved multiplication in the auditory presentation rather than in the visual presentation. The patient suffered from impairments in an addition task, regardless of visual or auditory presentation. Conclusions: The findings suggest that mental multiplication could be characterized as a form of modality-dependent processing, which was accessed through auditory input. The learning strategy of multiplication table recitation could shape the verbal memory of multiplication leading to persistence of the auditory module. (JINS, 2017, 23, 692–699)

Type
Case Report
Copyright
Copyright © The International Neuropsychological Society 2017 

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References

REFERENCES

Benke, T., Delazer, M., Bartha, L., & Auer, A. (2003). Basal ganglia lesions and the theory of fronto-subcortical loops: Neuropsychological findings in two patients with left caudate lesions. Neurocase, 9(1), 7085.Google Scholar
Butterworth, B., Zorzi, M., Girelli, L., & Jonckheere, A.R. (2001). Storage and retrieval of addition facts: The role of number comparison. The Quarterly Journal of Experimental Psychology A, 54(4), 10051029.CrossRefGoogle ScholarPubMed
Campbell, J.I., & Clark, J.M. (1988). An encoding-complex view of cognitive number processing: Comment on McCloskey, Sokol, and Goodman (1986). Journal of Experimental Psychology General, 117(2), 204214.Google Scholar
Campbell, J.I. (1994). Architectures for numerical cognition. Cognition, 53(1), 144.CrossRefGoogle ScholarPubMed
Campbell, J.I., & Epp, L.J. (2004). An encoding-complex approach to numerical cognition in Chinese-English bilinguals. Canadian Journal of Experimental Psychology, 58(4), 229244.Google Scholar
Campbell, J.I., & Metcalfe, A.W. (2008). Arabic digit naming speed: Task context and redundancy gain. Cognition, 107(1), 218237.Google Scholar
Campbell, J.I., & Xue, Q. (2001). Cognitive arithmetic across cultures. Journal of Experimental Psychology General, 130(2), 299315.Google Scholar
Cappelletti, M., Butterworth, B., & Kopelman, M. (2012). Numeracy skills in patients with degenerative disorders and focal brain lesions: A neuropsychological investigation. Neuropsychology, 26(1), 119.Google Scholar
Cohen, L., & Dehaene, S. (1995). Number processing in pure alexia: The effect of hemispheric asymmetries and task demands. Neurocase, 1(2), 121137.Google Scholar
Cohen, L., & Dehaene, S. (2000). Calculating without reading: Unsuspected residual abilities in pure alexia. Cognitive Neuropsychology, 17(6), 563583.Google Scholar
Crawford, J.R., Garthwaite, P.H., & Porter, S. (2010). Point and interval estimates of effect sizes for the case-controls design in neuropsychology: Rationale, methods, implementations, and proposed reporting standards. Cognitive Neuropsychology, 27(3), 245260.CrossRefGoogle ScholarPubMed
Dehaene, S., & Cohen, L. (1995). Towards an anatomical and functional model of number processing. Mathematical Cognition, 1, 83120.Google Scholar
Dehaene, S., & Cohen, L. (1997). Cerebral pathways for calculation: Double dissociation between rote verbal and quantitative knowledge of arithmetic. Cortex, 33(2), 219250.Google Scholar
Delazer, M., & Benke, T. (1997). Arithmetic facts without meaning. Cortex, 33(4), 697710.CrossRefGoogle ScholarPubMed
Delazer, M., Domahs, F., Lochy, A., Karner, E., Benke, T., & Poewe, W. (2004). Number processing and basal ganglia dysfunction: A single case study. Neuropsychologia, 42(8), 10501062.CrossRefGoogle ScholarPubMed
Della Puppa, A., De Pellegrin, S., d’Avella, E., Gioffrè, G., Munari, M., Saladini, M., & Semenza, C. (2013). Right parietal cortex and calculation processing: Intraoperative functional mapping of multiplication and addition in patients affected by a brain tumor. Journal of Neurosurgery, 119(5), 11071111.Google Scholar
Fasotti, L., Eling, P.A., & Bremer, J.J. (1992). The internal representation of arithmetical word problem sentences: Frontal and posterior-injured patients compared. Brain and Cognition, 20(2), 245263.Google Scholar
Folstein, M.F., Folstein, S.E., & Mchugh, P.R. (1975). “Mini-mental state” a practical method for grading the cognitive state of patients for the clinician. Journal of Psychiatric Research, 12(3), 189198.Google Scholar
Hittmair-Delazer, M., Semenza, C., & Denes, G. (1994). Concepts and facts in calculation. Brain, 117(4), 715728.Google Scholar
Jost, K., Khader, P.H., Burke, M., Bien, S., & Rösler, F. (2011). Frontal and parietal contributions to arithmetic fact retrieval: A parametric analysis of the problem-size effect. Human Brain Mapping, 32(1), 5159.Google Scholar
Lee, K.M. (2000). Cortical areas differentially involved in multiplication and subtraction: A functional magnetic resonance imaging study and correlation with a case of selective acalculia. Annals of Neurology, 48(4), 657661.Google Scholar
Lefevre, J.A., & Liu, J. (1997). The role of experience in numerical skill: Multiplication performance in adults from Canada and China. Mathematical Cognition, 3(1), 3162.Google Scholar
Lucchelli, F., & De Renzi, E. (1993). Primary dyscalculia after a medial frontal lesion of the left hemisphere. Journal of Neurology, Neurosurgery, & Psychiatry, 56(3), 304307.Google Scholar
McCloskey, M. (1992). Cognitive mechanisms in numerical processing: Evidence from acquired dyscalculia. Cognition, 44(1–2), 107157.Google Scholar
McCloskey, M., & Macaruso, P. (1995). Representing and using numerical information. American Psychologist, 50(5), 351363.Google Scholar
McCloskey, M., Caramazza, A., & Basili, A. (1985). Cognitive mechanisms in number processing and calculation: Evidence from dyscalculia. Brain & Cognition, 4(2), 171196.Google Scholar
McNeil, J.E., & Warrington, E.K. (1994). A dissociation between addition and subtraction with written calculation. Neuropsychologia, 32(6), 717728.Google Scholar
Megías, P., & Macizo, P. (2015). Activation and selection of arithmetic facts: The role of numerical format. Memory & Cognition, 44(2), 115.Google Scholar
Puvanendran, K., Dowker, A., & Demeyere, N. (2016). Compensating arithmetic ability with derived fact strategies in Broca’s aphasia: A case report. Neurocase, 22(2), 205214.CrossRefGoogle ScholarPubMed
Roussel, J.L., Fayol, M., & Barrouillet, P. (2002). Procedural vs. direct retrieval strategies in arithmetic: A comparison between additive and multiplicative problem solving. European Journal of Cognitive Psychology, 14(1), 61104.Google Scholar
Sciama, S.C., Semenza, C., & Butterworth, B. (1999). Repetition priming in simple addition depends on surface form and typicality. Memory & Cognition, 27(1), 116127.Google Scholar
Semenza, C., Salillas, E., De Pallegrin, S., & Della Puppa, A. (2016). Balancing the 2 hemispheres in simple calculation: Evidence from direct cortical electrostimulation. Cerebral Cortex [Epub ahead of print].Google Scholar
Siegler, R.S., & Shipley, C. (1995). Variation, selection, and cognitive change. In: G. Halford, & T. Simon, (Eds.), Developing cognitive competence: New approaches to process modeling. Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.Google Scholar
Sokol, S.M., McCloskey, M., Cohen, N.J., & Aliminosa, D. (1991). Cognitive representations and processes in arithmetic: Inferences from the performance of brain-damaged subjects. Journal of Experimental Psychology: Learning, Memory, and Cognition, 17(3), 355.Google Scholar
Tohgi, H., Saitoh, K., Takahashi, S., Takahashi, H., Utsugisawa, K., Yonezawa, H., & Sasaki, T. (1995). Agraphia and acalculia after a left prefrontal (F1, F2) infarction. Journal of Neurology, Neurosurgery, & Psychiatry, 58(5), 629632.CrossRefGoogle ScholarPubMed
Wei, W., Lu, H., Zhao, H., Chen, C., Dong, Q., & Zhou, X. (2012). Gender differences in children’s arithmetic performance are accounted for by gender differences in language abilities. Psychologcal Science, 23(3), 320330.Google Scholar
Zhou, X., Chen, C., Zang, Y., Dong, Q., Chen, C., Qiao, S., & Gong, Q. (2007). Dissociated brain organization for single-digit addition and multiplication. Neuroimage, 35(2), 871880.Google Scholar
Zhou, X., Chen, C., Zhang, H., Chen, C., Zhou, R., & Dong, Q. (2007). The operand-order effect in single-digit multiplication: An ERP study of Chinese adults. Neuroscience Letters, 414(1), 4144.CrossRefGoogle ScholarPubMed
Zhou, X., & Dong, Q. (2003). Representation formats for addition and multiplication facts. Acta Psychologica Sinica, 35(3), 345351.Google Scholar
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