Abstract
Although addition and subtraction are the basic operations, in the view of information processing, consensus on the relationship between them has not yet achieved. This study aimed to understand the common points and differences as well as the underlying neural substrates between addition and subtraction through the analysis on the data derived from magnetic resonance imaging measurement. Three kinds of tasks: addition task (AT), subtraction task (ST) and memory task (MT) were solved by seventeen adults. Our results revealed that simple addition also induced the activation in intraparietal sulcus (IPS); activation in hippocampal areas responsible for retrieval was discovered during subtraction calculation; subtraction showed stronger activation in Broca’s Area when compared with addition. The findings suggest that calculation strategy is not the key point for distinguishing addition and subtraction, the activation in Broca’s Area indicates the differences between the two operations may concern grammar and language expression.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Zhong, N., Liu, J., Yao, Y., Wu, J., Lu, S., Qin, Y., Li, K., Wah, B.W.: Web Intelligence Meets Brain Informatics. In: Zhong, N., Liu, J., Yao, Y., Wu, J., Lu, S., Li, K. (eds.) Web Intelligence Meets Brain Informatics. LNCS (LNAI), vol. 4845, pp. 1–31. Springer, Heidelberg (2007)
Zhong, N., Bradshaw, J.M., Liu, J.M., Taylor, J.G.: Brain Informatics. IEEE Intelligent Systems 26(5), 2–6 (2011)
Whalen, J., McCloskey, M., Lesser, R.P., Gordon, B.: Localizing Arithmetic Processes in the Brain: Evidence from a Transient Deficit During Cortical Stimulation. Journal of Cognitive Neuroscience 9, 409–417 (1997)
Lucchelli, F., Renzi, E.D.: Primary Dyscalculia after a Medial Frontal Lesion in the Left Hemisphere. Journal of Neurology, Neurosurgery and Psychiatry 56, 304–307 (1993)
Rickard, T.C., Romero, S.G., Basso, G., Wharton, C., Flitman, S., Grafman, J.: The Calculating Brain: An fMRI Study. Neuropsychologia 38(3), 325–335 (2000)
Dehaene, S., Cohen, L.: Towards an anatomical and functional model of number processing. Math. Cogn. 1, 83–120 (1995)
Rosenberg-Lee, M., Chang, T.T., Young, C.B., Wu, S., Menon, V.: Functional dissociations between four basic arithmetic operations in the human posterior parietal cortex: a cytoarchitectonic mapping study. Neuropsychologia 49, 2592–2608 (2011)
Fehr, T., Code, C., Herrmann, M.: Common brain regions underlying different arithmetic operations as revealed by conjunct fMRI-BOLD activation. Brain Research 1172, 93–102 (2007)
Dehaene, S., Piazza, M., Pinel, P., Cohen, L.: Three Parietal Circuits for Number Processing. Cogn. Neuropsychol. 20, 487–506 (2003)
Yi-Rong, N., Si-Yun, S., Zhou-Yi, G., Si-Run, L., Yun, B., Song-Hao, L., Chan, W.Y.: Dissociated brain organization for two-digit addition and subtraction: an fMRI investigation. Brain Research Bulletin 86, 395–402 (2011)
Cho, S., Ryali, S., Geary, D.C., Menon, V.: How does a child solve 7 + 8? Decoding brain activity patterns associated with counting and retrieval strategies. Developmental Science 14, 989–1001 (2011)
Vincent, J.L., Kahn, I., Snyder, A.Z., Raichle, M.E., Buckner, R.L.: Evidence for a frontoparietal control system revealed by intrinsic functional connectivity. Journal of Neurophysiology 100, 3328–3342 (2008)
Bahlmann, J., Schubotz, R.I., Friederici, A.D.: Hierarchical artificial grammar processing engages Broca’s area. NeuroImage 42, 525–534 (2008)
Maruyama, M., Pallier, C., Jobert, A., Sigman, M., Dehaene, S.: The cortical representation of simple mathematical expressions. NeuroImage 61, 1444–1460 (2012)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer International Publishing Switzerland
About this paper
Cite this paper
Yang, Y., Zhong, N., Imamura, K., Lei, X. (2013). Common and Dissociable Neural Substrates for 2-Digit Simple Addition and Subtraction. In: Imamura, K., Usui, S., Shirao, T., Kasamatsu, T., Schwabe, L., Zhong, N. (eds) Brain and Health Informatics. BHI 2013. Lecture Notes in Computer Science(), vol 8211. Springer, Cham. https://doi.org/10.1007/978-3-319-02753-1_10
Download citation
DOI: https://doi.org/10.1007/978-3-319-02753-1_10
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-02752-4
Online ISBN: 978-3-319-02753-1
eBook Packages: Computer ScienceComputer Science (R0)