Mathematics and language: Individual and group differences in mathematical language skills in young children

Abstract The development of early numeracy knowledge is influenced by a number of non-mathematical factors—particularly language skills. However, much of the focus on the relation between language and early numeracy has utilized general language measures and not domain-specific measures of mathematical language. The primary purpose of this study was to determine if the variance accounted for by general language skills in predicting numeracy performance was better accounted for by mathematical language. Further, age- and parental education-related differences in mathematical language performance were explored. Using a sample of 136 3- to 5-year-old preschool and kindergarten children ( M  = 4.28 years, SD = 0.67 years), a series of mixed-effect regressions were conducted. Results indicated that although general language performance was initially a significant predictor of numeracy performance, when both mathematical language and general language were included in the model, only mathematical language was a significant predictor of numeracy performance. Further, group-difference analyses revealed that children from families where both parents had less than a college education performed significantly lower on mathematical language than their peers; and even by 3-years-old, children have acquired a substantial body of mathematical language skills. Implications and future directions are discussed.

[1]  L. Vygotsky Mind in Society: The Development of Higher Psychological Processes: Harvard University Press , 1978 .

[2]  David J. Purpura,et al.  Early literacy and early numeracy: the value of including early literacy skills in the prediction of numeracy development. , 2011, Journal of experimental child psychology.

[3]  Karen Wynn,et al.  Children's understanding of counting , 1990, Cognition.

[4]  Xiao-Li Meng,et al.  Comparing correlated correlation coefficients , 1992 .

[5]  Pirjo Aunio,et al.  Young Children's Number Sense in China and Finland , 2006 .

[6]  H. B. Westbroek,et al.  How to make innovation practical , 2013 .

[7]  J. Sarama,et al.  Early Childhood Mathematics Education Research: Learning Trajectories for Young Children , 2009 .

[8]  C. Juel Learning to read and write: A longitudinal study of 54 children from first through fourth grades. , 1988 .

[9]  K. Wynn Children's acquisition of the number words and the counting system , 1992, Cognitive Psychology.

[10]  Anton J. H. Boonen,et al.  The relation between teachers' math talk and the acquisition of number sense within kindergarten classrooms. , 2011, Journal of school psychology.

[11]  Kathy Hirsh-Pasek,et al.  The Contribution of Early Communication Quality to Low-Income Children’s Language Success , 2015, Psychological science.

[12]  Wolfgang Schneider,et al.  Early Development of Quantity to Number-Word Linkage as a Precursor of Mathematical School Achievement and Mathematical Difficulties: Findings from a Four-Year Longitudinal Study. , 2009 .

[13]  Drew H. Bailey,et al.  State and Trait Effects on Individual Differences in Children’s Mathematical Development , 2014, Psychological science.

[14]  J. V. Van Luit,et al.  Explaining numeracy development in weak performing kindergartners. , 2014, Journal of experimental child psychology.

[15]  S. Dehaene,et al.  The Number Sense: How the Mind Creates Mathematics. , 1998 .

[16]  Jackie A. Nelson,et al.  Numeracy‐related exchanges in joint storybook reading and play , 2009 .

[17]  R. Wagner,et al.  The relations between phonological processing abilities and emerging individual differences in mathematical computation skills: a longitudinal study from second to fifth grades. , 2001, Journal of experimental child psychology.

[18]  George K. Georgiou,et al.  Is rapid automatized naming related to reading and mathematics for the same reason(s)? A follow-up study from kindergarten to Grade 1. , 2013, Journal of experimental child psychology.

[19]  H. Ginsburg,et al.  Mathematics Education for Young Children: What It is and How to Promote It , 2008 .

[20]  Justin Halberda,et al.  Individual differences in non-verbal number acuity correlate with maths achievement , 2008, Nature.

[21]  G. Duncan,et al.  Kindergarten skills and fifth-grade achievement: Evidence from the ECLS-K , 2009 .

[22]  G. Duncan,et al.  School readiness and later achievement. , 2007, Developmental psychology.

[23]  Elizabeth S Spelke,et al.  Language and number: a bilingual training study , 2001, Cognition.

[24]  J. M. Lansdell Introducing Young Children to Mathematical Concepts: Problems with 'new' terminology , 1999 .

[25]  Barbara W. Sarnecka,et al.  The development of human conceptual representations , 2006 .

[26]  K. Fuson Children's Counting and Concepts of Number , 1987 .

[27]  Jacob Cohen,et al.  A power primer. , 1992, Psychological bulletin.

[28]  Jessica F. Harding Increases in maternal education and low-income children's cognitive and behavioral outcomes. , 2015, Developmental psychology.

[29]  P. Davis-Kean,et al.  Increases in Maternal Education and Young Children's Language Skills , 2009 .

[30]  T. Adams,et al.  Reading Mathematics: More Than Words Can Say. , 2003 .

[31]  Mimi Engel,et al.  How Important is Where you Start? Early Mathematics Knowledge and Later School Success , 2013 .

[32]  Kelly S. Mix,et al.  How Spencer made number: first uses of the number words. , 2009, Journal of experimental child psychology.

[33]  David J. Purpura,et al.  Using a Brief Preschool Early Numeracy Skills Screener to Identify Young Children With Mathematics Difficulties , 2015 .

[34]  Karen D. Wood,et al.  Research on Vocabulary Instruction in the Content Areas: Implications for Struggling Readers , 2005 .

[35]  Mary J. Schleppegrell,et al.  The Linguistic Challenges of Mathematics Teaching and Learning: A Research Review , 2007 .

[36]  Nancy C. Jordan,et al.  Performance across different areas of mathematical cognition in children with learning difficulties. , 2001 .

[37]  Susan C. Levine,et al.  Assessing early arithmetic abilities: Effects of verbal and nonverbal response types on the calculation performance of middle-and low-income children , 1994 .

[38]  S. Dehaene Varieties of numerical abilities , 1992, Cognition.

[39]  David J. Purpura,et al.  Working memory and language: skill-specific or domain-general relations to mathematics? , 2014, Journal of experimental child psychology.

[40]  Brett Miller,et al.  At the Intersection of Math and Reading Disabilities , 2013, Journal of learning disabilities.

[41]  E. Spelke,et al.  Sources of mathematical thinking: behavioral and brain-imaging evidence. , 1999, Science.

[42]  Alan C. Acock,et al.  The impact of kindergarten learning-related skills on academic trajectories at the end of elementary school , 2006 .

[43]  Susan Goldin-Meadow,et al.  What makes us smart? Core knowledge and natural language , 2003 .

[44]  Julie Sarama,et al.  Early Childhood Mathematics Intervention , 2011, Science.

[45]  K. Smolkowski,et al.  Preventing Early Mathematics Difficulties: The Feasibility of a Rigorous Kindergarten Mathematics Curriculum , 2008 .

[46]  Anthony S. Bryk,et al.  Hierarchical Linear Models: Applications and Data Analysis Methods , 1992 .

[47]  David Barner,et al.  Finding one’s meaning: A test of the relation between quantifiers and integers in language development , 2009, Cognitive Psychology.

[48]  Barbara W. Sarnecka,et al.  From grammatical number to exact numbers: Early meanings of ‘one’, ‘two’, and ‘three’ in English, Russian, and Japanese , 2007, Cognitive Psychology.

[49]  Barbara W Sarnecka,et al.  Levels of number knowledge during early childhood. , 2009, Journal of experimental child psychology.

[50]  Y. Okamoto,et al.  LANGUAGE SUPPORTS FOR MATHEMATICS UNDERSTANDING AND PERFORMANCE , 2013 .

[51]  Geetha B. Ramani,et al.  Preschool children's joint block building during a guided play activity , 2014 .

[52]  N. Jordan,et al.  Reading Stories to Learn Math , 2015, The Elementary School Journal.

[53]  Adrea J. Truckenmiller,et al.  The structure of oral language and reading and their relation to comprehension in Kindergarten through Grade 2 , 2015, Reading and writing.

[54]  J. Black,et al.  Stability of Arithmetic Disability Subtypes , 1999, Journal of Learning Disabilities.

[55]  G J Hitch,et al.  The prevalence of specific arithmetic difficulties and specific reading difficulties in 9- to 10-year-old boys and girls. , 1994, Journal of child psychology and psychiatry, and allied disciplines.

[56]  Jonathan Guryan,et al.  Parental Education and Parental Time with Children , 2008 .

[57]  L. Pagani,et al.  School readiness and later achievement: replication and extension using a nationwide Canadian survey. , 2010, Developmental psychology.

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

[59]  Geetha B. Ramani,et al.  Math talk during informal learning activities in Head Start families , 2015 .

[60]  Nancy C. Jordan,et al.  Number sense growth in kindergarten: a longitudinal investigation of children at risk for mathematics difficulties. , 2006, Child development.

[61]  B. Rogoff Apprenticeship in Thinking: Cognitive Development in Social Context , 1990 .

[62]  J. V. Van Luit,et al.  The Developmental Relationship Between Language and Low Early Numeracy Skills Throughout Kindergarten , 2014 .

[63]  Nancy C. Jordan,et al.  Socioeconomic variation, number competence, and mathematics learning difficulties in young children. , 2009, Developmental disabilities research reviews.

[64]  P. Starkey,et al.  Enhancing young children’s mathematical knowledge through a pre-kindergarten mathematics intervention , 2004 .

[65]  Elizabeth A. Gunderson,et al.  Some types of parent number talk count more than others: relations between parents' input and children's cardinal-number knowledge. , 2011, Developmental science.

[66]  Amber Beliakoff,et al.  Socioeconomic Status and Preschoolers' Mathematical Knowledge: The Contribution of Home Activities and Parent Beliefs , 2015 .

[67]  Belinda Blevins-Knabe,et al.  Number Use at Home by Children and Their Parents and Its Relationship to Early Mathematical Performance , 1996 .

[68]  Rebecca J. Panagos Meaningful Differences in the Everyday Experience of Young American Children , 1998 .

[69]  Clara M. Jennings,et al.  Increasing interest and achievement in mathematics through children's literature , 1992 .

[70]  J. LeFevre,et al.  Pathways to mathematics: longitudinal predictors of performance. , 2010, Child development.

[71]  Nina F. Dronkers,et al.  Neural correlates of arithmetic and language comprehension: A common substrate? , 2007, Neuropsychologia.

[72]  The effect of language on Chinese and American 2- and 3-year olds’ small number identification , 2013 .

[73]  E. Spelke,et al.  Large number discrimination in 6-month-old infants , 2000, Cognition.

[74]  D. Rutter,et al.  The social and linguistic context of early number word use , 1986 .

[75]  Janellen Huttenlocher,et al.  What counts in the development of young children's number knowledge? , 2010, Developmental psychology.

[76]  Geoffrey B. Saxe,et al.  Social processes in early number development. , 1987 .

[77]  Nancy C. Jordan,et al.  Mathematical Thinking in Second-Grade Children with Different Forms of LD , 2000, Journal of learning disabilities.

[78]  Ariel Starr,et al.  Number sense in infancy predicts mathematical abilities in childhood , 2013, Proceedings of the National Academy of Sciences.

[79]  J. Sideris,et al.  Longitudinal predictors of reading and math trajectories through middle school for African American versus Caucasian students across two samples. , 2010, Developmental psychology.

[80]  Nancy C. Jordan,et al.  Building Kindergartners' Number Sense: A Randomized Controlled Study. , 2012, Journal of educational psychology.