This research was conducted to evaluate the technical properties of a set of early numeracy CBM tests that were designed to operationalize early numeric concepts. Data were collected over the course of a school year from 113 kindergarten and first-grade children using nine separate tests with three alternative forms. In addition, test–retest reliability was examined. Correlational design methods were used to examine the consistency of the tests as well as their relation to criterion measures. Receiver operating characteristic (ROC) curves were also generated and inspected to examine diagnostic accuracy. Results indicated that two tests demonstrated strong technical properties across all three analyses, and an additional two demonstrated promise. Methodological improvements to test procedures should be addressed in future research, and linking assessment to intervention can be facilitated using tests developed in the current study.
BagliciS. P.CoddingR.TryonG. (2010). Extending the research on the Tests of Early Numeracy: Longitudinal analyses over two school years. Assessment for Effective Intervention, 35, 89–102.
2.
BaroodyA. J. (2004). The developmental bases for early childhood operations and number standards. In ClementsD. H.SaramaJ.DiBiaseA. M. (Eds.), Engaging young children in mathematics: Standards for early childhood mathematics education. Mahwah, NJ: Lawrence Erlbaum.
3.
BerchD. B. (2005). Making sense of number sense: Implications for children with mathematical disabilities. Journal of Learning Disabilities, 38, 333–339.
4.
BrennanR. L. (2003). Generalizability theory. Journal of Educational Measurement, 40, 105–107.
5.
BurnsM. K.AppletonJ. J.StehouwerJ. D. (2005). Meta-analytic review of responsiveness-to-intervention research: Examining field-based and research-implemented models. Journal of Psychoeducational Assessment, 23, 381–394.
6.
ChardD. J.ClarkeB.BakerS.OtterstedtJ.BraunD.KatzR. (2005). Using measures of number sense to screen for difficulties in mathematics: Preliminary findings. Assessment for Effective Intervention, 30, 3–14.
7.
ChiappeP. (2005). How reading research can inform mathematics difficulties: The search for the core deficit. Journal of Learning Disabilities, 38, 313–317.
8.
ChristT. J.ViningO. (2006). Curriculum-based measurement procedures to develop multiple-skill mathematics computation probes: Evaluation of random and stratified stimulus-set arrangements. School Psychology Review, 35, 387–400.
9.
ClarkeB.BakerS.SmolkowskiK.ChardD. J. (2008). An analysis of early numeracy curriculum-based measurement: Examining the role of growth in student outcomes. Remedial and Special Education, 29, 46–57.
10.
ClarkeB.ShinnM. R. (2004). A preliminary investigation into the identification and development of early mathematics curriculum based measurement. School Psychology Review, 33, 234–248.
11.
ClementsD. H. (2004). Major themes and recommendations. In ClementsD. H.SaramaJ. (Eds.), Engaging young children in mathematics: Standards for early childhood mathematics education (pp. 7–12). Mahwah, NJ: Lawrence Erlbaum.
12.
CoyneM. D.HarnB. A. (2006). Promoting beginning reading success through meaningful assessment of early literacy skills. Psychology in the Schools, 43, 33–43.
13.
DalyE. J.WrightJ. A.KellyS. Q.MartensB. K. (1997). Measures of early academic skills: Reliability and validity with a first-grade sample. School Psychology Quarterly, 12, 268–280.
14.
DenoS. L. (1992). The nature and development of curriculum-based measurement. Preventing School Failure, 36, 5.
15.
DesoeteA.CeulemansA.RoeyersH.HuylebroeckA. (2009). Subitizing or counting as possible screening variables for learning disabilities in mathematics education or learning?Educational Research Review, 4, 55–66.
16.
FloydR. G.HojnoskiR.KeyJ. (2006). Preliminary evidence of the technical adequacy of the preschool numeracy indicators. School Psychology Review, 35, 627–644.
17.
FuchsL. S. (2004). The past, present, and future of curriculum based measurement research. School Psychology Review, 33, 188–192.
18.
FuchsL. S. (2005). Prevention research in mathematics: Improving outcomes, building identification models, and understanding disability. Journal of Learning Disabilities, 38, 350–352.
19.
FuchsL. S.DenoS. L. (1991). Paradigmatic distinctions between instructionally relevant measurement models. Exceptional Children, 57, 488–500.
GerstenR.JordanN. C.FlojoJ. R. (2005). Early identification and interventions for students with mathematics difficulties. Journal of Learning Disabilities, 38, 293–304.
22.
GinsburgH. P.BaroodyA. J. (2003). Test of early mathematics ability (3rd ed.). Austin, TX: Pro-Ed.
23.
GinsburgH. P.RussellR. L. (1981). Social class and racial influences on early mathematical thinking. Monographs of the Society for Research in Child Development, 46, 69–69.
24.
GrenwelgeC. H. (2009). Review of Woodcock-Johnson III Tests of Achievement. Journal of Psychoeducational Assessment, 27, 345–350.
25.
GriffinS. A.CaseR.SieglerR. S. (1994). Rightstart: Providing the central conceptual prerequisites for first formal learning of arithmetic to students at risk for school failure. In McGillyK. (Ed.), Classroom lessons: Integrating cognitive theory and classroom practice (pp. 25–49). Cambridge, MA: MIT Press.
26.
GriffinS. A.ClementsD. (2007). Number worlds: A prevention/intervention curriculum. Columbus, OH: Science Research Associates.
27.
HintzeJ. M.ChristT. J.MetheS. A. (2006). Curriculum-based assessment. Psychology in the Schools, 43, 45–56.
28.
HospM. K.HospJ. L.HowellK. W. (2007). The ABCs of CBM: A practical guide to curriculum-based measurement. New York, NY: Guilford.
KaminskiR. A.GoodR. H. (1996). Toward a technology for assessing basic early literacy skills. School Psychology Review, 25, 215–227.
31.
LagoR. M.DiPernaJ. C. (2010). Number sense in kindergarten: A factor-analytic study of the construct. School Psychology Review, 39, 164–180.
32.
LeFevreJ.FastL.SkwarchukS.-L.Smith-ChantB. L.BisanzJ.KamawarD.Penner-WilgerM. (2010). Pathways to mathematics: Longitudinal predictors of performance. Child Development, 81, 1753–1767.
33.
LevineS. C.SuriyakhamL. W.RoweM. L.HuttenlocherJ.GundersonE. A. (2010). What counts in the development of young children’s number knowledge?Developmental Psychology, 46, 1309–1319.
34.
MartinezR. S.MissallK. N.GraneyS. B.AricakO. T.ClarkeB. (2009). Technical adequacy of early numeracy curriculum-based measurement in kindergarten. Assessment for Effective Intervention, 34, 116–125.
35.
MazzoccoM. M. (2005). Challenges in identifying target skills for math disability screening and intervention. Journal of Learning Disabilities, 38, 318–323.
36.
MetheS. A.HintzeJ. M.FloydR. G. (2008). Validation and decision accuracy of early numeracy skill indicators. School Psychology Review, 37, 359–373.
37.
MetheS. A.McCullochL. M.BettsJ.FloydR. G.BowlerM. B. (2011). Synthesis of early numeracy curriculum-based measurement research. Manuscript submitted for publication.
38.
MetheS. A.Riley-TillmanT. C. (2008). An informed approach to selecting and designing early mathematics interventions. School Psychology Forum, 3, 29–41.
39.
National Center for Education Statistics. (2010). The nation’s report card: Mathematics 2009 (NCES 2010–451). Washington, DC: Institute of Education Sciences.
40.
National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author.
National Research Council. (2000). How people learn: Brain, mind, experience, and school. Washington, DC: National Academy Press.
43.
RousselleL.NoëlM.-P. (2007). Basic numerical skills in children with mathematics learning disabilities: A comparison of symbolic vs non-symbolic number magnitude processing. Cognition, 102, 361–395.
44.
SalviaJ.YsseldykeJ. E. (2004). Assessment in special and inclusive education. Boston, MA: Houghton Mifflin.
45.
SaramaJ.ClementsD. (2009). Early child mathematics education research: Learning trajectories for young children. New York, NY: Routledge.
46.
ShinnM. R. (1995). Best practices in curriculum-based measurement and its use in a problem solving model. In ThomasA.GrimesJ. (Eds.), Best practices in school psychology (3rd ed., pp. 547–567). Washington, DC: National Association of School Psychologists.
47.
StreinerD. L.CairneyJ. (2007). What’s under the ROC? An introduction to receiver operating characteristics curves. Canadian Journal of Psychiatry, 52, 121–128.
48.
TorgesenJ. K. (2009). The response to intervention instructional model: Outcomes from a large-scale implementation in reading first schools. Child Development Perspectives, 3, 38–40.
49.
VanDerHeydenA. M. (2010). Determining early mathematical risk: Ideas for extending the research. School Psychology Review, 39, 196–202.
50.
VanDerHeydenA. M.BroussardC.FabreM.StanleyJ.LegendreJ.CreppellR. (2004). Development and validation of curriculum-based measures of math performance for preschool children. Journal of Early Intervention, 27, 27–41.
51.
VanDerHeydenA. M.WittJ. C.NaquinG.NoellG. (2001). The reliability and validity of curriculum-based measurement readiness probes for kindergarten students. School Psychology Review, 30, 363–382.
52.
WoodcockR. W.McGrewK. S.SchrankF. A.MatherN. (2007). Woodcock-Johnson III tests of achievement-normative update. Rolling Meadows, IL: Riverside.
53.
WrightR. J.MartlandJ.StaffordA. K. (2006). Early numeracy: Assessment for teaching and intervention. London: Chapman.
