Data indicate that children with disabilities typically display lower levels of proficiency in mathematics than their nondisabled peers, with this difference remaining stable over time. Although literature exists regarding school-age children, few studies have examined early numeracy skills of preschoolers and child characteristics associated with performance and growth over time. Thus, the purpose of this study is to examine the performance and growth over time of preschool-age children who have a disability and those without a disability to determine whether patterns of performance are evident at this age and how patterns may differ between the two groups. Results from a sample of children enrolled in inclusive preschool classrooms (N = 205) indicated differences in initial performance as well as growth over time across measures of oral counting, quantity discrimination, and one-to-one counting; fewer differences were noted for numeral recognition. Results are discussed in the context of early identification and intervention.
AunolaK.LeskinenE.LerkkanenM.NurmiJ. (2004). Developmental dynamics of math performance from preschool to grade 2. Journal of Educational Psychology, 96, 699–713. doi:10.1037/0022-0663.96.4.699
2.
BarnesM. A.StubbsA.RaghubarK. P.AgostinoA.TaylorH.LandryS.. . . Smith-ChantB. (2011). Mathematical skills in 3- and 5-year-olds with Spina Bifida and their typically developing peers: A longitudinal approach. Journal of the International Neuropsychological Society, 17, 431–444. doi:10.1017/S1355617711000233
3.
BrackenB. A. (1998). Bracken Basic Concept Scale–Revised. San Antonio, TX: The Psychological Corporation.
4.
BrowneM. W.CudeckR. (1993). Alternative ways of assessing model fit. In BollenK. A.LongJ. S. (Eds.), Testing structural equation models (pp. 132–162). Beverly Hills, CA: SAGE.
5.
BuysseV.Peisner-FeinbergE. (Eds.). (2013). Handbook of response to intervention in early childhood. Baltimore, MD: Paul H. Brookes.
6.
ClementsD. H. (2004). Major themes and recommendations. In ClementsD.SaramaJ.DiBaiseM. A. (Eds.), Engaging young children in mathematics: Results of the conference on standards for preschool and kindergarten mathematics education (pp. 7–72). Mahwah, NJ: Lawrence Erlbaum.
7.
ClementsD. H.SaramaJ. (2009). Learning and teaching early math: The learning trajectories approach. New York, NY: Routledge.
8.
CoffeeG.Ray-SubramanianC. E.SchandingG. T.Feeney-KettlerK. A. (2013). Early childhood education: A practical guide to evidence-based multi-tiered service delivery. New York, NY: Routledge.
9.
CurranP. J.WestS. G.FinchJ. F. (1996). The robustness of test statistics to nonnormality and specification error in confirmatory factor analysis. Psychological Methods, 1, 16–29. doi:10.1037/1082-989X.1.1.16
10.
DesoeteA.CeulemansA.De WeerdtF.PietersS. (2012). Can we predict mathematical learning disabilities from symbolic and non-symbolic comparison tasks in kindergarten? Findings from a longitudinal study. British Journal of Educational Psychology, 82, 64–81. doi:10.1348/2044-8279.002002
11.
Division for Early Childhood (2014). DEC recommended practices in early intervention/early childhood special education 2014. Retrieved from http://www.dec-sped.org/recommendedpractices
12.
Division for Early Childhood of the Council for Exceptional Children, National Association for the Education of Young Children, & National Head Start Association. (2013). Frameworks for response to intervention in early childhood: Description and implications. Retrieved from http://www.dec-sped.org/position-statements
13.
DodgeD. T.HeromanC.ColkerL.BickartT. S. (2010). The Creative Curriculum for Preschool, Vol. 1: The foundation and Vol. 2: Interest areas (5th ed.). Washington, DC: Teaching Strategies.
14.
DowkerA. (2005). Early identification and intervention for students with mathematics difficulties. Journal of Learning Disabilities, 38, 324–332. doi:10.1177/00222194050380040801
15.
DuncanG. J.DowsettC. J.ClaessensA.MagnusonK.HustonA. C.KlebanovP.. . . JapelC. (2007). School readiness and later achievement. Developmental Psychology, 43, 1428–1446. doi:10.1037/0012-1649.43.6.1428
16.
FloydR. G.HojnoskiR.KeyJ. (2006). Preliminary evidence for the technical adequacy of the preschool numeracy indicators. School Psychology Review, 35, 627–644.
17.
FryeD.BaroodyA. J.BurchinalM.CarverS. M.JordanN. C.McDowellJ. (2013). Teaching math to young children: A practice guide (NCEE 2014-4005). Washington, DC: National Center for Education Evaluation and Regional Assistance, Institute of Education Sciences, U.S. Department of Education. Available from http://whatworks.ed.gov
18.
GinsburgH. P.BaroodyA. J. (2003). Test of Early Mathematics Ability (3rd ed.). Austin, TX: Pro-Ed.
19.
HojnoskiR. L.FloydR. G. (2013). Individual Growth and Development Indicators of Early Numeracy (IGDIs-EN). Minneapolis, MN: Early Learning Labs. Available from http://www.myigdis.com/
20.
HojnoskiR. L.SilberglittB.FloydR. G. (2009). Sensitivity to growth over time of the preschool numeracy indicators with a sample of preschoolers in Head Start. School Psychology Review, 38, 402–418. doi:10.1177/1534508411430323
21.
JordanN. C.KaplanD.RamineniC.LocuniakM. N. (2009). Early math matters: Kindergarten number competnece and later mathematics outcomes. Developmental Psychology, 45, 850–867.
22.
KrajewskiK.SchneiderW. (2009). 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. Learning and Instruction, 19, 513–526. doi:10.1016/j.learninstruc.2008.10.002
23.
LambertR. G.KimD.BurtsD. C. (2014). Using teacher ratings to track the growth and development of young children using the Teaching Strategies Gold assessment system. Journal of Psychoeducational Assessment, 32, 27–39. doi:10.1177/0734282913485214
24.
LeFevreJ.SkwarchukS.Smith-ChantB.FastL.KamawarD.BisanzJ. (2009). Home numeracy experiences and children’s math performance in the early school years. Canadian Journal of Behavioural Science/Revue Canadienne Des Sciences Du Comportement, 41, 55–66. doi:10.1037/a0014532
25.
MissallK. N.MercerS. H.MartinezR. S.CasebeerD. (2012). Concurrent and longitudinal patterns and trends in performance on early numeracy curriculum-based measures in kindergarten through third grade. Assessment for Effective Intervention, 27, 95–106. doi:10.1177/1534508411430322
26.
MorganP. L.FarkasG.WuQ. (2011). Kindergarten children’s growth trajectories in reading and mathematics: Who falls increasingly behind?Journal of Learning Disabilities, 44, 472–488. doi:10.1177/0022219411414010
27.
National Association of School Psychologists (2015). Early childhood services: Promoting positive outcomes for young children (Position Statement). Bethesda, MD: Author
28.
National Mathematics Advisory Panel. (2008). Foundations for success: The final report of the National Mathematics Advisory Panel. Washington, DC: U.S. Department of Education.
29.
National Research Council. (2009). Mathematics learning in early childhood: Paths toward excellence and equity. Washington, DC: The National Academies Press.
30.
SaramaJ.ClementsD. H. (2009). Early childhood mathematics education research: Learning trajectories for young children. New York, NY: Routledge.
31.
SkwarchukS. (2009). How do parents support preschoolers’ numeracy learning experiences at home?Early Childhood Education Journal, 37, 189–197. doi:10.1007/s10643-009-0340-1
32.
SnyderP. A.WixsonC. S.TalapatraD.RoachA. T. (2008). Assessment in early childhood: Instruction-focused strategies to support response-to-intervention frameworks. Assessment for Effective Intervention, 34, 25–34. doi:10.1177/1534508408314112
33.
StanovichK. (1986). Matthew effects in reading: Some consequences of individual differences in the acquisition of literacy. Reading Research Quarterly, 21, 360–407.
34.
StarkeyP.CooperG. (1995). The development of subitizing in young children. British Journal of Developmental Psychology, 13, 399–420.
35.
WalbergH. J.TsaiS. (1983). Matthew effects in education. American Educational Research Journal, 20, 359–373.
36.
WestJ.DentonK.Germino-HauskenE. (2000). America’s kindergartners: Findings from the Early Childhood Longitudinal Study, Kindergarten class of 1998-99, Fall, 1998. Retrieved from http://files.eric.ed.gov.fulltext/ED438089.pdf
37.
WestJ.DentonK.ReaneyL. (2001). Children’s reading and mathematics achievement in kindergarten and first grade (NCES 2002-125). Washington, DC: U.S. Department of Education, National Center for Education Statistics, U.S. Government Printing Office.
38.
WestonR.GoreP. A.Jr. (2006). A brief guide to structural equation modeling. The Counseling Psychologist, 34, 719–751. doi:10.1177/0011000006286345
39.
WillettJ. B.SayerA. G. (1994). Using covariance structure analysis to detect correlates and predictors of individual change over time. Psychological Bulletin, 116, 363–381. doi:10.1037/0033-2909.116.2.363
40.
WoodcockR. W.McGrewK. S.MatherN. (2001). Woodcock–Johnson III Tests of Achievement. Itasca, IL: Riverside.
