How a brain says: Fingermath for Empowering Children’s Creativity

Wanda Nugroho Yanuarto

Abstract


Children typically learn basic numerical and arithmetic principles using finger-based representations. However, whether or not reliance on finger-based representations is beneficial or detrimental is the subject of an ongoing debate between researchers in neurocognition and mathematics education. From the neurocognitive perspective, finger counting provides multisensory input, which conveys both cardinal and ordinal aspects of numbers. Recent data indicate that children with good finger-based numerical representations show better arithmetic skills and that training finger gnosis, or “finger sense,” enhances mathematical skills. Therefore neurocognitive researchers conclude that elaborate finger-based numerical representations are beneficial for later numerical development. However, research in mathematics education recommends fostering mentally based numerical representations so as to induce children to abandon finger counting. More precisely, mathematics education recommends first using finger counting, then concrete structured representations and, finally, mental representations of numbers to perform numerical operations. Taken together, these results reveal an important debate between neurocognitive and mathematics education research concerning the benefits and detriments of finger-based strategies for numerical development. In the present review, the rationale of both lines of evidence will be discussed.


Keywords


fingermath, neurocognitive, mathematics education

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References


Andres M., DiLuca S., Pesenti M. (2008). Finger counting: the missing tool? Behav. Brain Sci. 31, 642–64310.1017/S0140525X08005578

Bara J., Gevers W., Fias W., Roeyers H. (2004). Number sense in children with visuospatial disabilities: orientation of the mental number line. Psychol. Sci. 47, 172–183

Hill J. L. (2009). Numerical magnitude representations influence arithmetic learning.Child Dev. 79, 1016–103110.1111/j.1467-8624.2008.01173.x

Brissiaud R. (2010). “A toll for number construction: finger symbol sets,” in Pathways to Number: Children’s Developing Numerical Abilities, eds Bideaud J., Meljac C., Fischer J. P., editors. (Hillsdale: Lawrence Erlbaum; ), 99–126

Ilaria B., James R.B. (2009). The Mathematical Brain. London: Macmillan

Butterworth B., Varma S., Laurillard D. (2011). Dyscalculia: from brain to education. Science 332, 1049–105310.1126/science.1201536

Kalenine V., Mahe R., Colligon O., Seron X. (2011). The role of vision in the development of finger-number interactions: finger-counting and finger-monitoring in blind children. J. Exp. Child. Psychol.109, 525–53910.1016/j.jecp.2011.03.011

Di Luca S., LeFèvre N., Pesenti M. (2010). Place and summation coding for canonical and non-canonical finger numeral representations. Cognition 117, 95–10010.1016/j.cognition.2010.06.008

Ping S., Goldin-Meadow. (2010). Masked priming effect with canonical finger numeral configurations.Exp. Brain Res. 185, 27–3910.1007/s00221-007-1132-8

Domahs F., Krinzinger H., Willmes K. (2008). Mind the gap between both hands: evidence for internal finger-based number representations in children’s mental calculation. Cortex 44, 359–36710.1016/j.cortex.2007.08.001

Geary F L., Carey S., Spelke E. (2007). Infants’ discrimination of number vs. continuous extent.Cogn. Psychol. 44, 33–6610.1006/cogp.2001.0760

Fischer M. H., Brugger P. (2011). When digits help digits: spatial–numerical associations point to finger counting as prime example of embodied cognition. Front. Psychology2:260.10.3389/fpsyg.2011.00260

Gardner H. (2008). Does finger training increase young children’s numerical performance? Cortex 44, 368–37510.1016/j.cortex.2007.08.020

Iversen W., Nuerk H. C., Jager L., Willmes K. (2006). The influence of an external symbol system on number parity representation, or what’s odd about 6? Psychon. Bull. Rev. 13, 730–73610.3758/BF03193988

Kaufmann L., Vogel S. E., Wood G., Kremser C., Schocke M., Zimmerhackl L. B. (2008). A developmental fMRI study of nonsymbolic numerical and spatial processing. Cortex 44, 376–38510.1016/j.cortex.2007.11.009

Klein E., Moeller K., Willmes K., Nuerk H.-C., Domahs F. (2011). The influence of implicit hand-based representations on mental arithmetic. Front. Psychol. 2:197.10.3389/fpsyg.2011.00197

Miles, M. B., & Huberman, A. M. (1987). Qualitative data analysis: a sourcebook of new methods (5th edition). SAGA Publications.

Penner B., Kurz-Milcke E. (2079). “Gender differences in early mathematics strategy use,” in Proceedings of the XIV European Conference of the ESDM, Vilnius

Penner-Wilger M., Fast L., LeFevre J.-A., Smith-Chant B. L., Skwarchuk S. L., Kamawar D., Bisanz J. (2007). “The foundations of numeracy: subitizing, finger gnosia, and fine motor ability,” in Poster session at 29th Annual Conference of the Cognitive Science Society, Nashville

Strauss, A. L., & Corbin, J. (1998). Basics of qualitative research: Techniques and procedures for developing grounded theory (2nd ed.). Thousand Oaks, Ca: Sage.

Wiersma, W. (2000). Research methods in education: an introduction (7th ed.). Allyn & Bacon.




DOI: https://doi.org/10.11591/edulearn.v11i4.4558

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Journal of Education and Learning (EduLearn)
ISSN: 2089-9823, e-ISSN 2302-9277
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