Linguistic Influences on Mathematical Development: How Important Is the Transparency of the Counting System?

Wales uses languages with both regular (Welsh) and irregular (English) counting systems. Three groups of 6- and 8-year-old Welsh children with varying degrees of exposure to the Welsh language—those who spoke Welsh at both home and school; those who spoke Welsh only at home; and those who spoke only English—were given standardized tests of arithmetic and a test of understanding representations of two-digit numbers. Groups did not differ on the arithmetic tests, but both groups of Welsh speakers read and compared 2-digit numbers more accurately than monolingual English children. A similar study was carried out with Tamil/English bilingual children in England. The Tamil counting system is more transparent than English but less so than Welsh or Chinese. Tamil-speaking children performed better than monolingual English-speaking children on one of the standardized arithmetic tests but did not differ in their comparison of two-digit numbers. Reasons for the findings are discussed.

[1]  James W. Stigler,et al.  The Learning Gap: Why our Schools are Failing and What We can Learn from Japanese and Chinese Education. , 1993 .

[2]  Bert P. M. Creemers,et al.  World Class Schools , 2000 .

[3]  Ann Dowker,et al.  MATHEMATICS IN THE PRIMARY SCHOOL , 2005 .

[4]  Yukari Okamoto,et al.  First graders' cognitive representation of number and understanding of place value: Cross-national comparisons: France, Japan, Korea, Sweden, and the United States. , 1993 .

[5]  Nick C. Ellis,et al.  A bilingual word‐length effect: Implications for intelligence testing and the relative ease of mental calculation in Welsh and English , 1980 .

[6]  Alf Coles,et al.  British Society for Research into Learning Mathematics , 1999 .

[7]  Herbert P. Ginsburg,et al.  THE EFFECT OF THE KOREAN NUMBER SYSTEM ON YOUNG CHILDREN'S COUNTING: A NATURAL EXPERIMENT IN NUMERICAL BILINGUALISM , 1988 .

[8]  S. Dehaene,et al.  Exact and Approximate Arithmetic in an Amazonian Indigene Group , 2004, Science.

[9]  D. Wechsler Wechsler Intelligence Scale for Children , 2020, Definitions.

[10]  Chris Donlan,et al.  The importance of non-verbal skills in the acquisition of place-value knowledge: Evidence from normally-developing and language-impaired children , 1999 .

[11]  Richard Cowan,et al.  The role of language in mathematical development: Evidence from children with specific language impairments , 2007, Cognition.

[12]  Brian Butterworth,et al.  The Mathematical Brain , 1999 .

[13]  Herbert Garber,et al.  World Class Schools: International Perspectives on School Effectiveness , 2003 .

[14]  Gareth Roberts Bilingualism and Number in Wales , 2000 .

[15]  Rochel Gelman,et al.  Language and Conceptual Development series Number and language : how are they related ? , 2004 .

[16]  K. Miller,et al.  Preschool Origins of Cross-National Differences in Mathematical Competence: The Role of Number-Naming Systems , 1995 .

[17]  D. Lancy Cross-cultural studies in cognition and mathematics , 1984 .

[18]  Yukari Okamoto,et al.  Effects of language characteristics on children's cognitive representation of number: cross-national comparisons , 1988 .

[19]  Graham Flegg Numbers Through the Ages , 1989 .

[20]  J. Locke An Essay concerning Human Understanding , 1924, Nature.

[21]  K. Fuson,et al.  Korean children's understanding of multidigit addition and subtraction. , 1992, Child development.

[22]  P. Gordon Numerical Cognition Without Words: Evidence from Amazonia , 2004, Science.

[23]  John Gibson. Clayton,et al.  Estimation in schools. , 1993 .

[24]  M. Sandler Europe — United Kingdom , 1988 .