Investigating the Efficacy of a Core Kindergarten Mathematics Curriculum to Improve Student Mathematics Learning Outcomes

REFERENCES

• Agodini, R., & Harris, B. (2010). An experimental evaluation of four elementary school math curricula. Journal of Research on Educational Effectiveness, 3, 199–253.
   Google Scholar
• Al Otaiba, S., Connor, C.M., Folsom, J.S., Greulich, L., Meadows, J., & Li, Z. (2011). Assessment data-informed guidance to individualize kindergarten reading instruction: Findings from a cluster-randomized control field trial. Elementary School Journal, 111, 535–560.
   PubMed Web of Science ®Google Scholar
• Baker, S., Gersten, R., & Lee, D.S. (2002). A synthesis of empirical research on teaching mathematics to low-achieving students. The Elementary School Journal, 103, 51–73.
   Web of Science ®Google Scholar
• Baroody, A.J., Eiland, M., & Thompson, B. (2009). Fostering at-risk preschoolers’ number sense. Early Education & Development, 20(1), 80–128. doi: 10.1080/10409280802206619
   Web of Science ®Google Scholar
• Barry, A.E. (2005). How attrition impacts the internal and external validity of longitudinal research. Journal of School Health, 75, 267–270. doi: 10.1111/j.1746-1561.2005.00035.x
   PubMed Web of Science ®Google Scholar
• Berch, D.B. (2005). Making sense of number sense: Implications for children with mathematical disabilities. Journal of Learning Disabilities, 38, 333–339. doi: 10.1177/00222194050380040901
   PubMed Web of Science ®Google Scholar
• Bodovski, K., & Farkas, G. (2007). Mathematics growth in early elementary school: The roles of beginning knowledge, student engagement, and instruction. Elementary School Journal, 108, 115–130. doi: 10.1086/525550
   Web of Science ®Google Scholar
• Bryant, D.P., Bryant, B.R., Roberts, G., Vaughn, S., Pfannenstiel, K.H., Porterfield, J., & Gersten, R. (2011). Early numeracy intervention program for first-grade students with mathematics difficulties. Exceptional Children, 78, 7–23.
   Web of Science ®Google Scholar
• Chard, D.J., Clarke, B., Baker, S.K., Otterstedt, J., Braun, D., & Katz, R. (2005). Using measures of number sense to screen for difficulties in mathematics: Preliminary findings. Assessment for Effective Intervention, 30, 3–14. doi: 10.1177/073724770503000202
   Google Scholar
• Clarke, B., Baker, S.K., Smolkowski, K., & Chard, D.J. (2008). An analysis of early numeracy curriculum-based measurement. Remedial & Special Education, 29, 46–57. doi: 10.1177/0741932507309694
   Web of Science ®Google Scholar
• Clarke, B., Doabler, C.T., Smolkowski, K., Baker, S.K., Fien, H., & Strand Cary, M. (2011). Examining the efficacy of a tier 2 kindergarten intervention report ( Technical Report 1102). Eugene, OR: University of Oregon.
   Google Scholar
• Clarke, B., & Shinn, M. (2004). A preliminary investigation into the identification and development of early mathematics curriculum-based measurement. School Psychology Review, 33, 234–248.
   Web of Science ®Google Scholar
• Clements, D.H. (2007). Curriculum research: Toward a framework for “research-based curricula.” Journal for Research in Mathematics Education, 38, 35–70.
   Web of Science ®Google Scholar
• Clements, D.H., Agodini, R., & Harris, B. (2013, September). Instructional practices and student math achievement: Correlations from a study of math curricula (NCEE Evaluation Brief ED-04-CO-0112/0003). Washington, DC: National Center for Education Evaluation and Regional Assistance, Institute of Education Sciences, U.S. Department of Education.
   Google Scholar
• Cohen, J. (1988). Statistical power analysis for the behavioral sciences. Hillsdale, NJ: Lawrence Erlbaum Associates.
   Google Scholar
• Common Core State Standards Initiative (CCSSI). (2010). Common core state standards for mathematics. Retrieved from http://www.corestandards.org/assets/CCSSI Math Standards.pdf
   Google Scholar
• Connor, C.M., Morrison, F.J., & Katch, L.E. (2004). Beyond the reading wars: Exploring the effect of child-instruction interactions on growth in early reading. Scientific Studies of Reading, 8, 305–336.
   Web of Science ®Google Scholar
• Connor, C.M., Morrison, F.J., Schatschneider, C., Toste, J.R., Lundblom, E., Crowe, E.C., & Fishman, B. (2011). Effective classroom instruction: Implications of child characteristics by reading instruction interactions on first graders’ word reading achievement. Journal of Research on Educational Effectiveness, 4, 173–207.
   PubMed Web of Science ®Google Scholar
• Cribbie, R.A., & Jamieson, J. (2000). Structural equation models and the regression bias for measuring correlates of change. Educational and Psychological Measurement, 60, 893–907. doi: 10.1177/00131640021970970
   Web of Science ®Google Scholar
• Dehaene, S. (1997). The number sense: How the mind creates mathematics. New York, NY: Oxford University Press.
   Google Scholar
• Doabler, C.T., Baker, S.K., Kosty, D.B., Smolkowski, K., Clarke, B., Miller, S.J., & Fien, H. (2015). Examining the association between explicit mathematics instruction and student mathematics achievement. Elementary School Journal, 115, 303–333.
   Web of Science ®Google Scholar
• Doabler, C.T., Nelson, N.J., Kosty, D.B., Fien, H., Baker, S.K., Smolkowski, K., & Clarke, B. (2014). Examining teachers’ use of evidence-based practices during core mathematics instruction. Assessment for Effective Intervention, 39(2), 99–111. doi: 10.1177/1534508413511848
   Google Scholar
• Donovan, M.S., & Bransford, J. (Eds.). (2005). How students learn: History, mathematics, and science in the classroom. Washington, DC: National Academies Press.
   Google Scholar
• Duncan, G.J., Claessens, A., Engel, M., & Dowsett, C. (2013). The value of replication for developmental science. Manuscript in preparation.
   Google Scholar
• Duncan, G.J., Dowsett, C.J., Claessens, A., Magnuson, K., Huston, A.C., Klebanov, P.,... Japel, C. (2007). School readiness and later achievement. Developmental Psychology, 43, 1428–1446.
   PubMed Web of Science ®Google Scholar
• Dyson, N.I., Jordan, N.C., & Glutting, J. (2011). A number sense intervention for low-income kindergartners at risk for mathematics difficulties. Journal of Learning Disabilities, 46, 166–181. doi: 10.1177/0022219411410233
   PubMed Web of Science ®Google Scholar
• Fitzmaurice, G.M., Laird, N.M., & Ware, J.H. (2004). Applied longitudinal analysis. Hoboken, NJ: Wiley.
   Google Scholar
• Foorman, B.R., Francis, D.J., Fletcher, J.M., Schatschneider, C., & Mehta, P. (1998). The role of instruction in learning to read: Preventing reading failure in at-risk children. Journal of Educational Psychology, 90(1), 37–55.
   Web of Science ®Google Scholar
• Fuchs, L.S., Fuchs, D., & Compton, D.L. (2012). Intervention effects for students with comorbid forms of learning disability: Understanding the needs of nonresponders. Journal of Learning Disabilities. doi: Advance online publication. doi:10.1177/0022219412468889
   Web of Science ®Google Scholar
• Geary, D.C. (1993). Mathematical disabilities: Cognitive, neuropsychological, and genetic components. Psychological Bulletin, 114, 345–362. doi: 10.1037/0033-2909.114.2.345
   PubMed Web of Science ®Google Scholar
• Gersten, R.M., Beckmann, S., Clarke, B., Foegen, A., March, L., Star, J.R., & Witzel, B. (2009). Assisting students struggling with mathematics: Response to Intervention (RtI) for elementary and middle schools (Practice Guide Report No. NCEE 2009-4060). Washington, DC: National Center for Education Evaluation and Regional Assistance, Institute of Education Sciences, US Department of Education.
   Google Scholar
• Gersten, R., & Chard, D. (1999). Number sense rethinking arithmetic instruction for students with mathematical disabilities. The Journal of Special Education, 33(1), 18–28. doi: 10.1177/002246699903300102
   Web of Science ®Google Scholar
• Gersten, R.M., Chard, D., Jayanthi, M., Baker, S.K., Morphy, P., & Flojo, J. (2009). Mathematics instruction for students with learning disabilities: A meta-analysis of instructional components. Review of Educational Research, 79, 1202–1242. doi: 10.3102/0034654309334431
   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, 173–180.
   Web of Science ®Google Scholar
• Griffin, S., Case, R., & Siegler, R.S. (1994). Rightstart: Providing the central conceptual prerequisites for first learning of arithmetic to students at risk for school failure. In K. McGilly (Ed.), Classroom lessons: Integrating cognitive theory and classroom practice (pp. 24–49). Cambridge, MA: MIT Press.
   Google Scholar
• Hanich, L.B., Jordan, N.C., Kaplan, D., & Dick, J. (2001). Performance across different areas of mathematical cognition in children with learning difficulties. Journal of Educational Psychology, 93, 615–627. doi: 10.1037/0022-0663.93.3.615
   Web of Science ®Google Scholar
• Harcourt Brace Educational Measurement. (2002). Stanford Achievement Test [SAT-10]. San Antonio, TX.
   Google Scholar
• Hedges, L.V. (1981). Distribution theory for Glass's estimator of effect size and related estimators. Journal of Educational Statistics, 6, 107–128. doi: 10.3102/10769986006002107
   Google Scholar
• Hox, J.J. (2002). Multilevel analysis: Techniques and applications. Mahwah, NJ: Lawrence Erlbaum Associates.
   Google Scholar
• Jordan, N., Kaplan, D., & Hanich, L. (2002). Achievement growth in children with learning difficulties in mathematics: Findings of a two-year longitudinal study. Journal of Educational Psychology, 94, 586–597. doi: 10.1037/0022-0663.94.3.586
   Web of Science ®Google Scholar
• Kroesbergen, E.H., & Van Luit, J.E. H. (2003). Mathematics interventions for children with special educational needs: A meta-analysis. Remedial & Special Education, 24, 97–114. doi: 10.1177/07419325030240020501
   Web of Science ®Google Scholar
• Little, R.J. A., & Rubin, D.B. (2002). Statistical analysis with missing data (2nd ed.). New York: John Wiley & Sons.
   Google Scholar
• Lyon, G.R., Fletcher, J.M., Shaywitz, S.E., Shaywitz, B.A., Torgesen, J.K., Wood, F.B., … Olson, R. (2001). Rethinking learning disabilities. In C.E. Finn, A.J. Rotherham, & C.R. Hokanson (Eds.), Rethinking special education for a new century (pp. 259–288). Washington, DC: Thomas B. Fordham Foundation and the Progressive Policy Institute.
   Google Scholar
• MacKinnon, D.P., & Luecken, L.J. (2008). How and for whom? Mediation and moderation in health psychology. Health Psychology, 27, S99–S100.
   PubMed Web of Science ®Google Scholar
• Morgan, P.L., Farkas, G., & Wu, Q. (2009). Five-year growth trajectories of kindergarten children with learning difficulties in mathematics. Journal of Learning Disabilities, 42, 306–321. doi: 10.1177/0022219408331037
   PubMed Web of Science ®Google Scholar
• Murray, D.M. (1998). Design and analysis of group-randomized trials. New York: Oxford University Press.
   Google Scholar
• Murray, D.M. (2001). Statistical models appropriate for designs often used in group-randomized trials. Statistics in Medicine, 20, 1373–1386.
   PubMed Web of Science ®Google Scholar
• National Center for Education Statistics. (2013). The nation's report card: 2013 mathematics and reading (Report No. NCES 2014-451). Washington, DC: . Institute of Education Sciences, US Department of Education.
   Google Scholar
• National Council of Teachers of Mathematics. (2006). Curriculum focal points for prekindergarten through grade 8 mathematics: A quest for coherence. Retrieved from http://www.nctm.org/standards/focalpoints.aspx?id=282
   Google Scholar
• National Mathematics Advisory Panel (NMAP). (2008). Foundations for success: The final report of the National Mathematics Advisory Panel. Washington, DC: US Department of Education. doi: 10.3102/0013189X08329195
   Google Scholar
• National Research Council. (2001). Adding it up: Helping children learn mathematics. Washington, DC: Mathematics Learning Study Committee.
   Google Scholar
• National Science Board. (2008). Science and engineering indicators 2008. Arlington, VA: National Science Foundation.
   Google Scholar
• Olson, J.F., Martin, M.O., & Mullis, I.V. S. (2008). TIMSS 2007 technical report. Chestnut Hill, MA: International Association for the Evaluation of Educational Achievement.
   Google Scholar
• Pashler, H., Bain, P., Bottge, B., Graesser, A., Koedinger, K., McDaniel, M., and Metcalfe, J. (2007). Organizing instruction and study to improve student learning (NCER 2007-2004). Washington, DC: National Center for Education Research, Institute of Education Sciences, U.S. Department of Education. Retrieved from http://ncer.ed.gov.
   Google Scholar
• Pro-Ed. (2007). Test of early mathematics ability (3rd ed.). Austin, TX: Author.
   Google Scholar
• Rittle-Johnson, B., Siegler, R.S., & Alibali, M.W. (2001). Developing conceptual understanding and procedural skill in mathematics: An iterative process. Journal of Educational Psychology, 93, 346–362.
   Web of Science ®Google Scholar
• Rosnow, R.L., & Rosenthal, R. (2008). Evidence-based outcome research: A practical guide to conducting randomized controlled trials for psychosocial interventions. New York, NY: Oxford University Press.
   Google Scholar
• Sarama, J., Clements, D.H., Wolfe, C.B., & Spitler, M.E. (2012). Longitudinal evaluation of a scale-up model for teaching mathematics with trajectories and technologies. Journal of Research on Educational Effectiveness, 5, 105–135.
   Web of Science ®Google Scholar
• SAS Institute. (2004). SAS/ETS 9.1 user's guide (Vol. 1). Cary, NC: SAS Institute.
   Google Scholar
• Schafer, J.L., & Graham, J.W. (2002). Missing data: Our view of the state of the art. Psychological Methods, 7, 147–177. doi: 10.1037/1082-989X.7.2.147
   PubMed Web of Science ®Google Scholar
• Schmidt, W., Houang, R., & Cogan, L. (2002). A coherent curriculum: The case of mathematics. American Educator, 26(2), 1–18.
   Google Scholar
• Shadish, W.R., Cook, T.D., & Campbell, D.T. (2002). Experimental and quasi-experimental designs for generalized causal inference. Boston, MA: Houghton-Mifflin.
   Google Scholar
• Shinn, M.R. (1989). Curriculum-based measurement: Assessing special children. New York, NY: Guilford.
   Google Scholar
• Starkey, P., & Klein, A. (2008). Sociocultural influences on young children's mathematical knowledge. In O.N. Saracho & B. Spodek (Eds.), Contemporary perspectives on mathematics in early childhood education (pp. 253–276). Charlotte, NC: Information Age Publishing.
   Google Scholar
• Starkey, P., Klein, A., Baker, S.K., & Clarke, B. (2012). Validation of the effectiveness and sustainability of innovative early mathematics curricula for high-need students (US Department of Education; Office of Innovation and Improvement (I3) Validation Competition, CFDA Num: 84.396B, 2013-2015, Funding Number: U411B120053). Retrieved from https://www2.ed.gov/programs/innovation/2012/westedvalnar.pdf
   Google Scholar
• What Works Clearinghouse. (2011). What Works Clearinghouse: Procedures and standards handbook (Version 2.1). Washington, DC: National Center for Education Evaluation and Regional Assistance, Institute of Education Sciences, U.S. Department of Education.
   Google Scholar
• Wu, H. (1999). Basic skills versus conceptual understanding. American Educator, 23(3), 14–19.
   Google Scholar