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Educational Psychology
An International Journal of Experimental Educational Psychology
Volume 30, 2010 - Issue 4
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Articles

Assessing preschool number sense: skills demonstrated by children prior to school entry

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Pages 411-429 | Received 17 Jul 2009, Accepted 12 Feb 2010, Published online: 20 Jul 2010

References

  • Aunio , P. , Hautamaki , J. and Van Luit , J.E.H. 2005 . Mathematical thinking intervention programmes for preschool children with normal and low number sense . European Journal of Special Needs Education , 20 (2) : 131 – 146 .
  • Australian Bureau of Statistics . 2007 . 2006 census community profile series Retrieved December, 2007, from http://www.censusdata.abs.gov.au
  • Australian Government Department of Education, Employment and Workplace Relations . 2009 . The early years learning framework Retrieved March 15, 2010, from http://www.deewr.gov.au/EarlyChildhood/Policy_Agenda/Quality/Pages/EarlyYearsLearningFramework.aspx
  • Baroody , A.J. and Wilkins , J.L.M. , eds. 1999 . The development of informal counting, number, and arithmetic skills and concepts , Reston , VA : The National Teachers of Mathematics .
  • Berch , D.B. 2005 . Making sense of number sense: Implications for children with mathematical disabilities . Journal of Learning Disabilities , 38 (4) : 333 – 339 .
  • Briars , D. and Siegler , R.S. 1984 . A featural analysis of preschoolers’ counting knowledge . Journal of Experimental Psychology , 20 (4) : 607 – 618 .
  • Bryant , D.P. 2005 . Commentary on early intervention for students with mathematics difficulties . Journal of Learning Disabilities , 38 (4) : 340 – 345 .
  • Bryant , D.P. , Bryant , B.R. , Gersten , R. , Scammacca , N. and Chavez , M.M. 2008 . Mathematics intervention for first‐ and second‐grade students with mathematics difficulties. The effects of Tier 2 intervention delivered as booster lessons . Remedial and Special Education , 29 (1) : 20 – 32 .
  • Butterworth , B. 2005 . The development of arithmetical abilities . Journal of Child Psychology and Psychiatry , 46 (1) : 3 – 18 .
  • Chard , D.J. , Clarke , B. , Baker , S. , Otterstedt , J. , Braun , D. and Katz , R. 2005 . Using measures of number sense to screen for difficulties in mathematics: Preliminary findings . Assessment for Effective Intervention , 30 (2) : 3 – 14 .
  • Chiappe , P. 2005 . How reading research can inform mathematical difficulties . Journal of Learning Disabilities , 38 (4) : 313 – 317 .
  • Clarke , B. and Shinn , M.R. 2004 . A preliminary investigation into the identification and development of early mathematics curriculum‐based measurement . School Psychology Review , 33 (2) : 234 – 248 .
  • Clements , D.H. and Sarama , J. 2008 . Experimental evaluation of the effects of a research‐based preschool mathematics curriculum . American Educational Research Journal , 45 (2) : 443 – 494 .
  • Clements , D.H. , Sarama , J.H. and Liu , X.H. 2008 . Development of a measure of early mathematics achievement using the Rasch model: The research‐based early maths assessment . Educational Psychology , 28 (4) : 457 – 482 .
  • Cobb , P. , Wood , T. and Yackel , E. 1991 . “ A constructivist approach to second grade mathematics ” . In Radical constructivism in mathematics education , Edited by: von Glaserfeld , E. 157 – 176 . Dordrecht : Kluwer .
  • Cowan , R. , Dowker , A. , Christakis , A. and Bailey , S. 1996 . Even more precisely assessing children’s understanding of the order‐irrelevance principle . Journal of Experimental Child Psychology , 62 (1) : 84 – 101 .
  • Doig , B. , McCrae , B. and Rowe , K. 2003 . A good start to numeracy Commonwealth of Australia. Retrieved November 14, 2009, from http://www.dest.gov.au/common_topics/publications_resources/All_Publications_AtoZ.htm
  • Dowker , A. 2005 . Early identification and intervention for students with mathematics difficulties . Journal of Learning Disabilities , 38 : 324 – 332 .
  • Dunn , L.M. and Dunn , L.M. 1997 . Examiners manual. Peabody picture vocabulary test , (3rd ed.) , Circle Pines , MN : American Guidance Service .
  • Fuchs , L.S. , Fuchs , D. , Compton , D.L. , Bryant , J.D. , Hamlett , C.L. and Seethaler , P.M. 2007 . Mathematics screening and progress monitoring at first grade: Implications for responsiveness to intervention . Exceptional Children , 73 (3) : 311 – 330 .
  • Fuchs , L.S. , Fuchs , D. and Karns , K. 2001 . Enhancing kindergarteners’ mathematical development: Effects of peer‐assisted learning strategies . Elementary School Journal , 101 (5) : 495 – 510 .
  • Fuson , K.C. 1988 . Children’s counting and concepts of number , New York : Springer‐Verlag .
  • Gersten , R. and Chard , D. 1999 . Number sense: Rethinking arithmetic instruction for students with mathematic disabilities . Journal of Special Education , 33 (1) : 18 – 28 .
  • Gersten , R. , Clarke , B.S. and Jordan , N.C. 2007 . Screening for mathematics difficulties in k‐3 students (Report) , Portsmouth , NH : RMC Research Corporation, Center on Instruction .
  • 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 .
  • Ginsburg , H.P. 1997 . Mathematics learning disabilities: A view from developmental psychology . Journal of Learning Disabilities , 30 (1) : 20 – 33 .
  • Griffin , S. 2003 . Laying the foundation for computational fluency in early childhood . Teaching Children Mathematics , 9 (6) : 306 – 313 .
  • Griffin , S.A. , Case , R. and Siegler , R.S. 1994 . “ Right start: Providing the central conceptual prerequisites for the first formal learning of arithmetic to students at risk for school failure ” . In Classroom lessons: Integrating cognitive theory and classroom practice , Edited by: McGilly , K. 25 – 49 . Cambridge : MIT Press .
  • Howell , S. and Kemp , C. 2004 . The role of number sense in the identification and prevention of mathematics disability: A consideration of the phonemic awareness/number sense analogy . Australasian Journal of Special Education , 28 (2) : 65 – 78 .
  • Howell , S. and Kemp , C. 2005 . Defining early number sense: A participatory Australian study . Educational Psychology , 25 (5) : 555 – 571 .
  • Howell , S. and Kemp , C. 2006 . An international perspective of early number sense: Identifying components predictive of difficulties in early mathematics achievement . Australian Journal of Learning Disabilities , 11 (4) : 197 – 207 .
  • Howell , S. and Kemp , C. 2009 . A participatory approach to the identification of measures of number sense in children prior to school entry . International Journal of Early Years Education , 17 (1) : 47 – 65 .
  • Jordan , N.C. , Kaplan , D. , Locuniak , M.N. and Ramineni , C. 2007 . Predicting first‐grade math achievement from developmental number sense trajectories . Learning Disabilities Research and Practice , 22 (1) : 36 – 46 .
  • Jordan , N.C. , Kaplan , D. , Olah , L.N. and Locuniak , M.N. 2006 . Number sense growth in kindergarten: A longitudinal investigation of children at risk for mathematics difficulties . Child Development , 77 (1) : 153 – 175 .
  • Jordan , N.C. , Kaplan , D. , Ramineni , C. and Locuniak , M.N. 2009 . Early math matters: Kindergarten number competence and later mathematics outcomes . Developmental Psychology , 45 (3) : 850 – 867 .
  • 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 .
  • Laski , E.V. and Siegler , R.S. 2007 . Is 27 a big number? Correlational and causal connections among numerical categorization, number line estimation, and numerical magnitude comparison . Child Development , 73 (6) : 1723 – 1743 .
  • Locuniak , M.N. and Jordan , N.C. 2008 . Using kindergarten number sense to predict calculation fluency in second grade . Journal of Learning Disabilities , 41 (5) : 451 – 459 .
  • Malofeeva , E. , Day , J. , Saco , X. , Young , L. and Cianco , D. 2004 . Construction and evaluation of a number sense test with head start children . Journal of Educational Psychology , 96 (4) : 648 – 659 .
  • Mazzocco , M.M.M. 2005 . Challenges in identifying target skills for math disability screening and intervention . Journal of Learning Disabilities , 38 (4) : 318 – 323 .
  • Mulligan , J. , Mitchelmore , M. and Prescott , A. Case studies of children’s development of structure in early mathematics: A two‐year longitudinal study . Proceedings of the 29th conference of the International Group for the Psychology of Mathematics Education . Melbourne . Edited by: Chick , H.L. and Vincent , J.L. Vol. 4 , pp. 1 – 8 . PME .
  • National Council of Teachers of Mathematics Commission on Standards for School Mathematics . 1989 . Curriculum and evaluation standards for school mathematics , Reston , VA : Author .
  • New South Wales Government Department of Community Services . 2004 . Review of the children’s services regulation 2004: Discussion paper Retrieved July 10, 2009, from http://www.community.nsw.gov.au/for_agencies_that_work_with_us/childrens_services/regulations/review_of_the_regulation.html
  • Okamato , Y. and Case , R. 1996 . Exploring the microstructure of children’s conceptual structures in the domain of number . Monographs of the Society for Research in Child Development , 61 : 27 – 59 .
  • Ramani , G.B. and Siegler , R.S. 2008 . Promoting broad and stable improvements in low‐income children’s numerical knowledge through playing number board games . Child Development , 79 (2) : 375 – 394 .
  • Steffe , L. 1991 . “ The constructivist teaching experiment: Illustrations and implications ” . In Radical constructivism in mathematics education , Edited by: von Glaserfeld , E. 177 – 194 . Dordrecht : Kluwer .
  • Van Luit , J.E.H. and Schopman , E. 2000 . Improving early numeracy of young children with special education needs . Remedial and Special Education , 21 (1) : 27 – 40 .
  • von Glaserfeld , E. 1995 . “ A constructivist approach to teaching ” . In Constructivism in education , Edited by: Steffe , L. and Gale , J. 3 – 16 . Hillsdale , NJ : Erlbaum .
  • Woodcock , R.W. , McGrew , K.S. and Mather , N. 2001 . Woodcock‐Johnson III tests of achievement , (Australian ed.) , Itasca , IL : Riverside Publishing .

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