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Does finger sense predict addition performance?

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Abstract

The impact of fingers on numerical and mathematical cognition has received a great deal of attention recently. However, the precise role that fingers play in numerical cognition is unknown. The current study explores the relationship between finger sense, arithmetic and general cognitive ability. Seventy-six children between the ages of 5 and 12 participated in the study. The results of stepwise multiple regression analyses demonstrated that while general cognitive ability including language processing was a predictor of addition performance, finger sense was not. The impact of age on the relationship between finger sense, and addition was further examined. The participants were separated into two groups based on age. The results showed that finger gnosia score impacted addition performance in the older group but not the younger group. These results appear to support the hypothesis that fingers provide a scaffold for calculation and that if that scaffold is not properly built, it has continued differential consequences to mathematical cognition.

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References

  • Alibali MW, DiRusso AA (1999) The function of gesture in learning to count: more than keeping track. Cogn Dev 14:37–56

    Article  Google Scholar 

  • Ardila A (1993) On the origins of calculation abilities. Behav Neurol 6:89–98. doi:10.1097/00006454-199401000-00033

    Article  CAS  PubMed  Google Scholar 

  • Aunola K, Leskinen E, Lerkkanen M-K, Nurmi J-E (2004) Developmental dynamics of math performance from preschool to grade 2. J Educ Psychol 96:699–713. doi:10.1037/0022-0663.96.4.699

    Article  Google Scholar 

  • Badets A, Pesenti M (2010) Creating number semantics through finger movement perception. Cognition 115(1):46–53

    Article  PubMed  Google Scholar 

  • Badets A, Pesenti M, Olivier E (2010) Response–effect compatibility of finger–numeral configurations in arithmetical context. Q J Exp Psychol 63(1):16–22

    Article  Google Scholar 

  • Barrouillet P, Thevenot C (2013) On the problem-size effect in small additions: Can we really discard any counting-based account? Cognition 128(1):35–44

    Article  PubMed  Google Scholar 

  • Benton AL (1955) Development of finger-localization capacity in school children. Child Dev 26:225–230

    Article  CAS  PubMed  Google Scholar 

  • Berteletti I, Man G, Booth JR (2015) How number line estimation skills relate to neural activations in single digit subtraction problems. NeuroImage 107:198–206

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Burns M (1996) How to make the most of math manipulatives. Instructor 105(7):45–51

    Google Scholar 

  • Butterworth B (1999a) A head for figures. Science 284(5416):928 (New York, NY)

    Article  CAS  PubMed  Google Scholar 

  • Butterworth B (1999b) What counts: how every brain is hardwired for math. The Free Press, New York

    Google Scholar 

  • Butterworth B (2005) The development of arithmetical abilities. J Child Psychol Psychiatry 46(1):3–18

    Article  PubMed  Google Scholar 

  • Chinello A, Cattani V, Bonfiglioli C, Dehaene S, Piazza M (2013) Objects, numbers, fingers, space: clustering of ventral and dorsal functions in young children and adults. Dev Sci 16(3):377–393

    Article  PubMed  Google Scholar 

  • De La Cruz V, Di Nuovo A, Di Nuovo S, Cangelosi A (2014) Making fingers and words count in a cognitive robot. Front Behav Neurosci 8:1–12

    Google Scholar 

  • De Smedt B, Janssen R, Bouwens K, Verschaffel L, Boets B, Ghesquiere P (2009) Working memory and individual differences in mathematics achievement: a longitudinal study from first grade to second grade. J Exp Child Psychol 103:186–201

    Article  PubMed  Google Scholar 

  • De Smedt B, Taylor J, Archibald L, Ansari D (2010) How is phonological processing related to individual differences in children’s arithmetic skills? Dev Sci 13(3):508–520

    Article  PubMed  Google Scholar 

  • Di Luca S, Pesenti M (2008) Masked priming effect with canonical finger numeral configurations. Exp Brain Res 185(1):27–39

    Article  PubMed  Google Scholar 

  • Di Luca S, Grana A, Semenza C, Seron X, Pesenti M (2006) Finger-digit compatibility in Arabic numeral processing. Q J Exp Psychol 59(9):1648–1663

    Article  Google Scholar 

  • Domahs F, Moeller K, Huber S, Willmes K, Nuerk H-C (2010) Embodied numerosity: implicit hand-based representations influence symbolic number processing across cultures. Cognition 116:251–266

    Article  PubMed  Google Scholar 

  • Fayol M, Barrouillet P, Marinthe C (1998) Predicting arithmetical achievement from neuro-psychological performance: a longitudinal study. Cognition 68(2):B63–B70

    Article  CAS  PubMed  Google Scholar 

  • Fayol M, Seron X (2005) About numerical representations: insights from neuropsychological, experimental, and developmental studies. In: Campbell JID (ed) Handbook of mathematical cognition, Psychology Press, NewYork, pp 3–22

  • Fias W, Fischer M (2005) Spatial representation of numbers. In: Handbook of mathematical cognition, Psychology Press, New York, pp 43–54

  • Fischer MH (2006) The future for SNARC could be stark. Cortex 42:1066–1068

    Article  PubMed  Google Scholar 

  • Fischer MH, Brugger P (2011) When digits help digits: spatial–numerical associations point to finger counting as prime example of embodied cognition. Front psychol 2:41–47

    Article  Google Scholar 

  • Fuson KC (1988) Children’s counting and concepts of number. Springer, New York

    Book  Google Scholar 

  • Fuson KC (1990) Issues in place-value and multidigit addition and subtraction learning and teaching. J Res Math Educ 21:273–280

    Article  Google Scholar 

  • Fuson KC, Briars DJ (1990) Using a base-ten blocks learning/teaching approach for first- and second-grade place-value and multidigit addition and subtraction. J Res Math Educ 21:180–206

    Article  Google Scholar 

  • Fuson KC, Richards J, Briars DJ (1982) The acquisition and elaboration of the number word sequence. In: Brainerd CJ (ed) Children’s logical and mathematical cognition. Springer, New York

    Google Scholar 

  • Geary DC (1993) Mathematical disabilities: cognitive, neuropsychological, and genetic components. Psychol Bull 114:345–362. doi:10.1037/0033-2909.114.2.345

    Article  CAS  PubMed  Google Scholar 

  • Gerstmann J (1940) Syndrome of finger agnosia, disorientation for right and left, agraphia and acalculia. Arch Neurol Psychiatry 44:398–408

    Article  Google Scholar 

  • Glenberg AM, Gutierrez T, Levin JR, Japuntich S, Kaschak MP (2004) Activity and imagined activity can enhance young children’s reading comprehension. J Educ Psychol 96(3):424

    Article  Google Scholar 

  • Greenough WT, Black JE, Wallace CS (1987) Experience and brain development. Child Dev 58:539–559

    Article  CAS  PubMed  Google Scholar 

  • Halberda J, Feigenson L (2008) Developmental change in the acuity of the “Number Sense”: the approximate number system in 3-, 4-, 5-, and 6-year-olds and adults. Dev Psychol 44(5):1457

    Article  PubMed  Google Scholar 

  • Imbo I, Vandierendonck A (2007) The role of phonological and executive working memory resources in simple arithmetic strategies. Eur J Cogn Psychol 19:910–933

    Article  Google Scholar 

  • Imbo I, Vandierendonck A (2008) Effects of problem size, operation, and working-memory span on simple-arithmetic strategies: Differences between children and adults? Psychol Res 72(3):331–346

    Article  PubMed  Google Scholar 

  • Jordan NC, Huttenlocher J, Levine SC (1992) Differential calculation abilities in young children from middle-and low-income families. Dev Psychol 28(4):644

    Article  Google Scholar 

  • Jordan NC, Levine SC, Huttenlocher J (1994) Development of calculation abilities in middle-and low-income children after formal instruction in school. J Appl Dev Psychol 15(2):223–240

    Article  Google Scholar 

  • Jordan NC, Kaplan D, Ramineni C, Locuniak M (2008) Development of number combination skill in the early school years: When do fingers help? Dev Sci 11:662–668

    Article  PubMed  Google Scholar 

  • Jordan J-A, Wylie J, Mulhern G (2010) Phonological awareness and mathematical difficulty: a longitudinal perspective. Br J Dev Psychol 28:89–107

    Article  PubMed  Google Scholar 

  • Krajewski K, Schneider W (2009) Exploring the impact of phonological awareness, visual–spatial working memory, and preschool quantity–number competencies on mathematics achievement in elementary school: findings from a 3-year longitudinal study. J Exp Child Psychol 103(4):516–531

    Article  PubMed  Google Scholar 

  • Mazzocco MM, Feigenson L, Halberda J (2011) Preschoolers’ precision of the approximate number system predicts later school mathematics performance. PLoS One 6(9):e23749

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Newman SD, Soylu F (2014) The impact of finger counting habits on arithmetic in adults and children. Psychol Res 78(4):549–556

    Article  PubMed  Google Scholar 

  • Noel M (2005) Finger gnosia: A predictor of numerical abilities in children? Child Neuropsychol 11(5):413–430

    Article  PubMed  Google Scholar 

  • Oldfield RC (1971) The assessment and analysis of handedness: the Edinburgh inventory. Neuropsychologia 9(1):97–113

    Article  CAS  PubMed  Google Scholar 

  • Passolunghi MC, Lanfranchi S (2012) Domain-specific and domain-general precursors of mathematical achievement: a longitudinal study from kindergarten to first grade. Br J Educ Psychol 82:42–63

    Article  PubMed  Google Scholar 

  • Passolunghi MC, Siegel LS (2004) Working memory and access to numerical information in children with disability in mathematics. J Exp Child Psychol 88:348–367

    Article  PubMed  Google Scholar 

  • Passolunghi MC, Vercelloni B, Schadee H (2007) The precursors of mathematics learning: working memory, phonological ability, and numerical competence. Cogn Dev 22:165–184

    Article  Google Scholar 

  • Penner-Wilger M, Anderson ML (2013) The relation between finger gnosis and mathematical ability: why redeployment of neural circuits best explains the finding. Front Psychol 4(December):877

    PubMed  PubMed Central  Google Scholar 

  • Penner-Wilger M, Fast L, LeFevre J, Smith-Chant BL, Skwarchuk S, Kamawar D, Bisanz J (2007) The foundations of numeracy: subitizing, finger gnosia, and fine-motor ability. In: McNamara DS, Trafton JG (eds) Proceedings of the 29th annual Cognitive Science Society. Cognitive Science Society, Austin, pp 1385–1390

    Google Scholar 

  • Penner-Wilger M, Fast L, Lefevre JA, Smith-Chant BL, Skwarchuk SL, Kamawar D, Bisanz J, Deslauriers WA (2008) Investigating the building blocks of numerical representations: subitizing and finger gnosis. In: Proceedings of the 30th annual conference of the Cognitive Science Society. Cognitive Science Society, Austin

  • Pesenti M, Thioux M, Seron X, Volder AD (2000) Neuroanatomical substrates of Arabic number processing, numerical comparison, and simple addition: a PET study. J Cogn Neurosci 12(3):461–479

    Article  CAS  PubMed  Google Scholar 

  • Reeves R, Humberstone J (2011) Five- to 7-year olds’ finger gnosia and calculation abilities. Front Psychol 2:1–10

    Google Scholar 

  • Robinson CS, Menchetti BM, Torgesen JK (2002) Toward a two-factor theory of one type of mathematics disabilities. Learn Disabil Res Pract 17:81–89

    Article  Google Scholar 

  • Sato M, Cattaneo L, Rizzolatti G, Gallese V (2007) Numbers within our hands: modulation of corticospinal excitability of hand muscles during numerical judgment. J Cogn Neurosci 19(4):684–693

    Article  PubMed  Google Scholar 

  • Simmons F, Singleton C (2008) Do weak phonological representations impact on arithmetic development? A review of research into arithmetic and dyslexia. Dyslexia 14:77–94. doi:10.1002/dys.341 (Chichester, England)

    Article  PubMed  Google Scholar 

  • Sternberg RJ, Grigorenko EL (2004) Successful intelligence in the classroom. Theory Into Pract 43:274–280

    Article  Google Scholar 

  • Suh JM (2007) Tying it all together: building mathematics proficiency for all students. Teach Child Math 14(3):163–169

    Google Scholar 

  • Thompson PW (1994) Concrete materials and teaching for mathematical understanding. Arith Teach 41(9):556–558

    Google Scholar 

  • Treiman R, Zukowski A (1991) Levels of phonological awareness. Lawrence Erlbaum Associates Inc., London

    Google Scholar 

  • Tschentscher N, Hauk O, Fischer MH, Pulvermüller F (2012) You can count on the motor cortex: finger counting habits modulate motor cortex activation evoked by numbers. Neuroimage 59(4):3139–3148

    Article  PubMed  Google Scholar 

  • Woodcock RW, McGrew KS, Mather N (2001) Woodcock–Johnson III tests of cognitive abilities. Riverside Pub, Halifax

    Google Scholar 

  • Zago L, Pesenti M, Mellet E, Crivello F, Mazoyer B, Tzourio-Mazoyer N (2001) Neural correlates of simple and complex mental calculation. Neuroimage 13(2):314–327

    Article  CAS  PubMed  Google Scholar 

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Acknowledgments

This research was funded by a Grant from Indiana University (FRSP). I would like to thank Roy Seo, Jessica Denton, Galen Hartman, Priyanka Ghosh and Taylor Hurst for the assistance with data collection.

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Correspondence to Sharlene D. Newman.

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Informed consent was obtained from all individual participants included in the study.

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All procedures performed in studies involving human participants were in accordance with the ethical standards of the institutional and/or national research committee and with the 1964 Helsinki declaration and its later amendments or comparable ethical standards.

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Handling editor: Martin H. Fischer, University of Potsdam, Germany.

Reviewers: Marco Fabbri, Second University of Naples, Italy; Ilaria Berteletti, University of Illinois at Urbana-Champaign, USA.

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Newman, S.D. Does finger sense predict addition performance?. Cogn Process 17, 139–146 (2016). https://doi.org/10.1007/s10339-016-0756-7

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  • DOI: https://doi.org/10.1007/s10339-016-0756-7

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