DYSCALCULIA: MYTHS AND MODELS

References

• Anning , A. & Edwards , A. ( 1999 ) Promoting children's learning from birth to five: developing the new early years professional ( Buckingham , Open University Press )
   Google Scholar
• Ansari , D. and Karmiloff-Smith , A. 2002 . Atypical trajectories of number development: a neuroconstructivist perspective . Trends in Cognitive Sciences , 6 ( 12 ) : 511 – 516 .
   PubMed Web of Science ®Google Scholar
• Ashcraft , M.H. , Kirk , E.P. & Hopko , D. ( 1998 ) On the cognitive consequences of mathematics anxiety , in Donlan , C. The development of mathematical skills ( Hove , Psychology Press ).
   Google Scholar
• Baker , D. , Street , B. and Tomlin , A. 2003 . Mathematics as social: understanding relationships between home and school numeracy practices . For the Learning of Mathematics , 23 ( 3 ) : 11 – 20 .
   Google Scholar
• Bermejo , V. , Morales , S. and Garcia de Osuna , J. 2004 . Supporting children's development of cardinal understanding . Learning and Instruction , 14 : 381 – 398 .
   Web of Science ®Google Scholar
• Brannon , E.M. 2002 . The development of ordinal numerical knowledge in infancy . Cognition , 83 : 223 – 240 .
   PubMed Web of Science ®Google Scholar
• Brannon , E.M. 2005 . “ What animals know about numbers ” . In Handbook of Mathematical Cognition , Edited by: Campbell , J.I.D. Hove : Psychology Press .
   Google Scholar
• Brannon , E.M. and van de Walle , GA. 2001 . The development of ordinal number competence in young children . Cognitive Psychology , 43 : 53 – 81 .
   PubMed Web of Science ®Google Scholar
• Boaler , J. 2002 . Exploring the nature of mathematical activity: using theory, research and "working hypothesis" to broaden conceptions of mathematical knowing . Educational Studies in Mathematics , 51 : 3 – 21 .
   Google Scholar
• Bruce , B. and Threlfall , J. 2004 . One, two, three and counting . Educational Studies in Mathematics , 55 : 3 – 26 .
   Google Scholar
• Brysbaert , M. 2005 . “ Number recognition in different formats ” . In Handbook of Mathematical Cognition Hove: Psychology Press Edited by: Campbell , J.I.D.
   Google Scholar
• Butterworth , B. 1999 . The mathematical brain , Macmillan : London .
   Google Scholar
• Butterworth , B. 2003 . Dyscalculia screener: highlighting children with specific learning difficulties in mathematics nfer/Nelson: London
   Google Scholar
• Butterworth , B. 2005a . The development of arithmetical abilities . Journal of Child Psychology and Psychiatry , 46 ( 1 ) : 3 – 18 .
   PubMed Web of Science ®Google Scholar
• Butterworth , B. 2005b . “ Developmental dyscalculia ” . In Handbook of Mathematical Cognition , Edited by: Campbell , J.I.D. Hove : Psychology Press .
   Google Scholar
• Bzufka , M. W. , Hein , J. and Neumarker , K.-J. 2000 . Neuropsychological differentiation of subnormal arithmetic abilities . European Child and Adolescent Psychiatry , 9 ( 2 ) : 65 – 76 .
   Google Scholar
• Clark , A. 2001 . Mindware: an introduction to the philosophy of cognitive science , Oxford : Oxford University Press .
   Google Scholar
• Dehaene , S. 2001 . Prcis of the number sense . Mind and language , 16 ( 1 ) : 16 – 36 .
   Web of Science ®Google Scholar
• Delazer , M. 2003 . “ Neuropsychological findings on conceptual knowledge of arithmetic ” . In The development of arithmetic concepts and skills , Edited by: Baroody , A J. and Dowker , A. Mahwah, N J : Lawrence Erlbaum Associates .
   Google Scholar
• Delgado , A.R. and Prieto , G. 2004 . Cognitive mediators and sex-related differences in mathematics . Intelligence , 32 ( 1 ) : 25 – 32 .
   Web of Science ®Google Scholar
• Department for Education and Skills ( 2001 ) Guidance to support pupils with dyslexia and dyscalculia ( DfES 0521/2001 ), ( London , DfES ).
   Google Scholar
• Department for Education and Skills ( 2004 ) What do we know about dyscalculia? www.dfes.gov.uk/readwriteplus/understandingdyslexia ( accessed 28 June 2005 ).
   Google Scholar
• Department for Education and Skills ( 2005 ) Supporting children with gaps in their mathematical understanding ( London , DfES ).
   Google Scholar
• Doig , B. , McCrae , B. & Rowe , K. ( 2003 ) A Good Start to Numeracy: Effective numeracy strategies from research and practice in early childhood www.acer.edu.au/goodstart/documents/Goodstart.pdf ( accessed 20 January 2005 ).
   Google Scholar
• Donaldson , M. 1978 . Children's minds , London : Fontana .
   Google Scholar
• Dowker , A. 2003 . “ Brain-based research on arithmetic: implications for learning and teaching ” . In Enhancing Primary Mathematics Teaching , Edited by: Thompson , I. Maidenhead : Open University Press .
   Google Scholar
• Dowker , A. 2004 . What works for children with mathematics difficulties? (RR554) , London : DfES .
   Google Scholar
• Ernest , P. 1999 . Forms of knowledge in mathematics and mathematics education: philosophical and rhetorical perspectives . Educational Studies in Mathematics , 38 : 67 – 83 .
   Google Scholar
• Evans , J. 2002 . Talking about mathematics . Education , 30 , 3-13 : 66 – 71 .
   Google Scholar
• Evans , J. ( 2002 ) Talking about mathematics , Education 3-13 , 30 , 66 - 71 .
   Google Scholar
• Fosnot , T. and Dolk , M. 2001 . Young mathematicians at work: constructing multiplication and division , Portsmouth, NH : Heinemann .
   Google Scholar
• Fuchs , L.S. 2005 . Prevention research in mathematics . Journal of Learning Disabilities , 38 ( 4 ) : 350 – 352 .
   PubMedGoogle Scholar
• Fuson , K.C. and Kwon , Y. 1992 . Korean children's single-digit addition and subtraction: numbers structured by ten . Journal for Research into Mathematics Education , 23 ( 2 ) : 148 – 165 .
   Web of Science ®Google Scholar
• Geary , D.C. ( 1999 ) Mathematical disabilities: what we know and don't know www.learningdisabilitiesonline ( accessed June, 2004 ).
   Google Scholar
• Geary , D.C. 2004 . Mathematics and learning disabilities . Journal of Learning Disabilities , 37 ( 1 ) : 4 – 15 .
   PubMed Web of Science ®Google Scholar
• Gersten , R. , Jordan , N.C. and Flojo , J.R. 2005 . Early identification and interventions for students with mathematics difficulties . Journal of Learning Disabilities , 38 ( 4 ) : 293 – 304 .
   PubMed Web of Science ®Google Scholar
• Gifford , S. ( 2005 ) Young children's difficulties in learning mathematics: review of research in relation to dyscalculia , Qualifications and Curriculum Authority www.qca.org.uk/13809.html ( accessed February 2005 ).
   Google Scholar
• Ginsburg , H.P. 1997 . Mathematics learning disabilities: a view from developmental psychology . Journal of Learning Disabilities , 30 : 20 – 33 .
   PubMed Web of Science ®Google Scholar
• Girelli , L. , Lucangeli , D. and Butterworth , B. 2000 . The development of automaticity in accessing number magnitude . Journal of Experimental Child Psychology , 79 ( 2 ) : 104 – 122 .
   Google Scholar
• Gordon , P. ( 2004 ) Numerical cognition without words; evidence from Amazonia Science , 306 , 496 - 499 .
   PubMed Web of Science ®Google Scholar
• Gray , E. 1997 . “ Compressing the counting process: developing flexible interpretation of symbols ” . In Teaching and learning early number , Edited by: Thompson , I. Buckingham : Open University Press .
   Google Scholar
• Greenes , C , Ginsburg , H.P.& and Balfanz , R. 2004 . Big mathematics for Little Kids . Early Childhood Research Quarterly , 19 ( 1 ) : 159 – 166 .
   Web of Science ®Google Scholar
• Griffin , S. 2004 . Building number sense with Number Worlds: a mathematics program for young children . Early Childhood Research Quarterly , 19 ( 1 ) : 173 – 180 .
   Web of Science ®Google Scholar
• Heuval-Panhuizen , M. van den , ( 2003 ) The didactical use of models in realistic mathematics education: an example from a longitudinal trajectory on percentage , Educational Studies in Mathematics , 54 ( 1 ), 9 - 36 .
   Google Scholar
• Hughes , M. 1986 . Children and number: difficulties in learning mathematics , Oxford : Basil Blackwell .
   Google Scholar
• Isaacs , E.B. , Edmonds , C.J. , Lucas , A. and Gadian , D.G . 2001 . Calculation difficulties in children of very low birthweight . Brain , 124 : 1701 – 1707 .
   PubMed Web of Science ®Google Scholar
• Jordan , N.C , Hanich , L.B. and Uberti , H.Z. 2003 . “ Mathematical thinking and learning difficulties ” . In The Development of Arithmetic Concepts and Skills , Edited by: Baroody , A.J. and Dowker , A. Mahwah, N.J : Lawrence Earlbaum Associates .
   Google Scholar
• Kaufmann , L. , Handl , P. and Thony , B. 2003 . Evaluation of a numeracy intervention programme focusing on basic numerical and conceptual knowledge . Journal of Learning Disabilities , 36 ( 6 ) : 564 – 573 .
   PubMed Web of Science ®Google Scholar
• Kobayashi , T. , Hraki , T. and Hasegawa , T. 2004 . Baby arithmetic: one object plus one tone . Cognition , 91 : 23 – B34 .
   PubMed Web of Science ®Google Scholar
• Lakoff , G. and Nunez , R.E . 2000 . Where mathematics comes from: how the embodied mind brings mathematics into being , New York : Basic Books .
   Google Scholar
• Landerl , K. , Bevan , A. and Butterworth , B. 2004 . Developmental dyscalculia and basic numerical capacities: a study of 8-9 year old students . Cognition , 93 : 99 – 125 .
   PubMed Web of Science ®Google Scholar
• Lave , J. and Wenger , E. 1991 . Situated learning: legitimate peripheral participation , Cambridge : Cambridge University Press .
   Google Scholar
• Lerman , S. 1989 . Constructivism, mathematics and mathematics education . Educational Studies in Mathematics , 20 : 211 – 223 .
   Google Scholar
• Lindsay , G. 2003 . Inclusive education: a critical perspective . British Journal of Special Education , 30 ( 1 ) : 3 – 12 .
   Google Scholar
• Macaruso , P. and Sokol , S.M. 1998 . “ Cognitive neuropsychology and developmental dyscalculia ” . In The Development of Mathematical Skills , Edited by: Donlan , C. Hove : Psychology Press .
   Google Scholar
• Marton , F. and Neuman , D. 1990 . “ Constructivism, phenomenology and the origin of arithmetic skills ” . In Transforming Children's Mathematics Education , Edited by: Steffe , C.P. and Wood , T. New Jersey : Lawrence Earlbaum Associates .
   Google Scholar
• Mazzocco , M.M.M. 2005 . Challenges on identifying target skills for mathematics disability screening and intervention . Journal of Learning Disabilities , 38 ( 4 ) : 318 – 323 .
   PubMed Web of Science ®Google Scholar
• Mazzocco , M.M.M. and Myers , GF. 2003 . Complexities in identifying and defining mathematics learning disability in the primary school years . Annals of Dyslexia , 53 : 218 – 53 .
   PubMed Web of Science ®Google Scholar
• Mix , K.S. , Huttenlocher , J. and Levine , S.C. 2002 . Quantitative development in infancy and early childhood , Oxford : Oxford University Press .
   Google Scholar
• Monuteaux , M.C. , Faraone , S.V. , Herzig , K. , Navsaria , N. and Biederman , J. 2005 . ADHD and dyscalculia: evidence for independent familial transmission . Journal of Learning Disabilities , 38 ( 1 ) : 86 – 93 .
   PubMed Web of Science ®Google Scholar
• Nicolson , R. 2005 . Dyslexia: beyond the myth . The Psychologist , 18 ( 11 ) : 658 – 659 .
   Google Scholar
• Nunes , T. and Bryant , P. 1996 . Children Doing Mathematics , Oxford : Blackwell .
   Google Scholar
• Primary National Strategy ( 2005 ) Mathematics, dyslexia and dyscalculia www.standards.dfes.gov.uk/primary/faqs/inclusion/56233 ( accessed 13 April 2005 ).
   Google Scholar
• Sammons , P. , Sylva , K. , Melhuish , I. , Siraj-Blatchford , I. , Taggart , B and Elliot , K. 2002 . Technical Paper 8a: Measuring the impact of preschool on children's cognitive progress over the preschool period , London : Institute of Education, University of London .
   Google Scholar
• Sarama , J. and Clements , D.H. 2004 . Building Blocks for early childhood mathematics . Early Childhood Research Quarterly , 19 ( 1 ) : 181 – 189 .
   Web of Science ®Google Scholar
• Seron , X. , Presenti , M. , Noel , M.-P , Deloche , G. and Cornet , J.A. 1992 . Images of numbers or "When 98 is upper left and 6 sky blue" . Cognition , 44 : 159 – 196 .
   PubMed Web of Science ®Google Scholar
• Sfard , A. 1989 . On two metaphors for learning and the dangers of choosing just one . Educational Researcher , 27 ( 2 ) : 4 – 13 .
   Google Scholar
• Shalev , R.S. , Auerbach , J. , Manor , G. and Gross-Tsur , V. 2000 . Developmental dyscalculia: prevalence and prognosis . European Child and Adolescent Psychiatry , 9 ( 2 ) : 58 – 64 .
   Google Scholar
• Shalev , R.S. , Manor , O. , Kerem , B. , Avali , M. , Badichi , N. , Friedlander , Y. and Gross-Tsur , V. 2001 . Developmental dyscalculia is a familial learning disability . Journal for Learning Disabilities , 34 ( 1 ) : 59 – 65 .
   PubMed Web of Science ®Google Scholar
• Siegler , R.S. and Booth , J. L. 2004 . Development of numerical estimation in young children . Child Development , 75 ( 2 ) : 428 – 444 .
   PubMed Web of Science ®Google Scholar
• Starkey , P. , Klein , A. and Wakeley , A. 2004 . Enhancing young children's mathematical knowledge through a pre-kindergarten mathematics intervention . Early Childhood Research Quarterly , 19 : 99 – 120 .
   Web of Science ®Google Scholar
• Wing , T. 2001 . Serendipity, and a special need . Mathematics Teaching , 174 : 27 – 30 .
   Google Scholar
• Wright , R.J. 1994 . A study of the numerical development of 5 and 6 year olds . Educational Studies in Mathematic , 26 : 25 – 44 .
   Google Scholar
• Xu , F. 2003 . Numerosity discrimination in infants: evidence of two systems of representation . Cognition , 89 : 15 – 25 .
   PubMed Web of Science ®Google Scholar
• Young-Loveridge , J. 1989 . The relationship between children's home experiences and their mathematical skills on entry to school . Early Child Development and Care , 43 : 43 – 59 .
   Google Scholar
• Young-Loveridge , J . 2002 . Early childhood numeracy: building an understanding of part-whole relationships . Australian Journal of Early Childhood , 27 ( 4 ) : 36 – 40 .
   Google Scholar