466
Views
42
CrossRef citations to date
0
Altmetric
Special Issue: Theoretical Frameworks in School Psychological Intervention Research

Preliminary Evaluation of a Tier 2 Mathematics Intervention for First-Grade Students: Using a Theory of Change to Guide Formative Evaluation ActivitiesFootnote

Pages 160-178 | Received 08 Jul 2013, Accepted 03 Feb 2014, Published online: 27 Dec 2019

References

  • ArcherA. L.HughesC. A. (2010). Explicit instruction: Effective and efficient teaching. New York: Guilford Press.
  • BakerS.GerstenR.LeeD. S. (2002). A synthesis of empirical research on teaching mathematics to low-achieving students. The Elementary School Journal, 103, 51–73.
  • BerchD. B. (2005). Making sense of number sense: Implications for children with mathematical disabilities. Journal of Learning Disabilities, 38, 333–339. doi:https://doi.org/10.1177/00222194050380040901
  • BransfordJ.DonovanM. S. (2005). Scientific inquiry and how people learn. In DonovanM. S.BransfordJ. (Eds.), How students learn: Mathematics, and science in the classroom (pp. 397–420). Washington, DC: National Academies Press.
  • BrownA. L. (1992). Design experiments: Theoretical and methodological challenges in creating complex interventions in classroom settings. Journal of Learning Sciences, 2, 141–178.
  • BryantD. P.BryantB. R.GerstenR.ScammaccaN.ChavezM. (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, 20–32.
  • BryantD. P.BryantB. R.GerstenR. M.ScammaccaN. N.FunkC.WinterA.PoolC. (2008). The effects of tier 2 intervention on the mathematics performance of first-grade students who are at risk for mathematics difficulties. Learning Disability Quarterly, 31, 47–63.
  • BryantD. P.BryantB. R.RobertsG.VaughnS.PfannenstielK. H.PorterfieldJ.GerstenR. (2011). Early numeracy intervention program for first-grade students with mathematics difficulties. Exceptional Children, 78, 7–23.
  • ClarkeB.BakerS. K.ChardD. J. (2008). Best practices in mathematics assessment and intervention with elementary students. In ThomasA.GrimesJ. (Eds.), Best practices in school psychology (Vol. V, pp. 453–464). Bethesda, MD: National Association of School Psychologists.
  • ClarkeB.ShinnM. R. (2004). A preliminary investigation into the identification and development of early mathematics curriculum-based measurement. School Psychology Review, 33(2), 234–248.
  • ClarkeB.SmolkowskiK.BakerS. K.FienH.DoablerC. T.ChardD. J. (2011). The impact of a comprehensive tier 1 core kindergarten program on the achievement of students at-risk in mathematics. Elementary School Journal, 111, 561–584.
  • ClementsD. H. (2007). Curriculum research: Toward a framework for “research-based curricula.” Journal for Research in Mathematics Education, 38, 35–70.
  • CobbP.ConfreyJ.diSessaA.LehrerR.SchaubleL. (2003). Design experiments in educational research. Educational Researcher, 32, 9–13.
  • Common Core State Standards Initiative. (2010). Common core standards for English language arts & literacy in history/social studies, science, and technical subjects. Retrieved from Common Core State Standards Initiative: Preparing America's Students for College & Career website: http://www.corestandards.org/assets/CCSSI_ELA%20Standards.pdf
  • CoyneM. D.Kame'enuiE. J.CarnineD. W. (2011). Effective teaching strategies that accommodate diverse learners (4th ed.). Upper Saddle River, NJ: Prentice Hall.
  • DoablerC.Nelson-WalkerN. (2009). Ratings of classroom management and instructional support. Unpublished observation instrument, Center on Teaching and Learning, College of Education, University of Oregon, Eugene, OR.
  • DoablerC. T.BakerS. K.KostyD.SmolkowskiK.ClarkeB.MillerS. J.FienH. (2013). Examining the association between explicit mathematics instruction and student mathematics achievement. Manuscript submitted for publication.
  • DoablerC. T.Nelson-WalkerN.KostyD.FienH.BakerS. K.SmolkowskiK.ClarkeB. ( in press). Examining teachers' use of evidence-based practices during core mathematics instruction. Assessment for Effective Intervention.
  • DysonN. I.JordanN. C.GluttingJ. (2013). A number sense intervention for low-income kindergartners at risk for mathematics difficulties. Journal of Learning Disabilities, 46(2), 166–181.
  • FeingoldA. (2009). Effect sizes for growth-modeling analysis for controlled clinical trials in the same metric as for classical analysis. Psychological Methods, 14, 43–53.
  • FuchsL. S.ComptonD. L.FuchsD.PaulsenK.BryantJ. D.HamlettC. L. (2005). The prevention, identification, and cognitive determinants of math difficulty. Journal of Educational Psychology, 97, 493–513.
  • FuchsL. S.FuchsD.ComptonD. L. (2013). Intervention effects for students with comorbid forms of learning disability: Understanding the needs of nonresponders. Journal of Learning Disabilities, 46, 534–548.
  • FuchsL. S.FuchsD.ZumetaR. O. (2008). Response to intervention: A strategy for the prevention and identification of learning disabilities. In GrigorenkoE. L. (Ed.), Educating individuals with disabilities: IDEIA 2004 and beyond (pp. 115–135). New York: Springer.
  • FuchsL. S.GearyD. C.ComptonD. L.FuchsD.HamlettC. L.BryantJ. D. (2010). The contributions of numerosity and domain-general abilities to school readiness. Child Development, 81, 1520–1533.
  • GearyD. C. (2004). Mathematics and learning disabilities. Journal of Learning Disabilities, 37, 4–15.
  • GerstenR.ChardD. (1999). Number sense: Rethinking arithmetic instruction for students with mathematical disabilities. The Journal of Special Education, 33, 18–28.
  • GerstenR. M.BeckmannS.ClarkeB.FoegenA.MarchL.StarJ. R.WitzelB. (2009). Assisting students struggling with mathematics: Response to intervention (RTI) for elementary and middle schools (Practice Guide Report No. NCEE 2009–4060). Washington, DC: U.S. Department of Education, National Center for Education Evaluation and Regional Assistance.
  • GinsburgH. P.BaroodyA. J. (2003). Test of early mathematics ability (3rd ed.). Austin, TX: ProEd.
  • GloverT. A.DiPernaJ. C. (2007). Service delivery for response to intervention: Core components and directions for future research. School Psychology Review, 36, 526–540.
  • GoodR. H.GrubaJ.KaminskiR. A. (2002). Best practices in using Dynamic Indicators of Basic Early Literacy Skills (DIBELS) in an outcomes-driven model. In ThomasA.GrimesJ. (Eds.), Best practices in school psychology IV (pp. 679–700). Washington, DC: National Association of School Psychologists.
  • HanichL. B.JordanN. C.KaplanD.DickJ. (2001). Performance across different areas of mathematical cognition in children with learning difficulties. Journal of Educational Psychology, 93, 615–627.
  • Harcourt Educational Measurement. (2002). Stanford Achievement Test [SAT-10]. San Antonio, TX: author.
  • Individuals with Disabilities Education Improvement Act of 2004, P.L. 108–446, 20 U.S.C. § 1400 et seq (2004).
  • JuelC. (1988). Learning to read and write: A longitudinal study of 54 children from first through fourth grades. Journal of Educational Psychology, 80, 437–447.
  • MaL. (1999). Knowing and teaching elementary mathematics: Teachers' understanding of fundamental mathematics in China and the United States. Mahwah, NJ: Lawrence Erlbaum Associates
  • MacKinnonD. P.LueckenL. J. (2008). How and for whom? Mediation and moderation in health psychology. Health Psychology: Official Journal of the Division of Health Psychology, American Psychological Association, 27, S99–S100.
  • MilgramR. J.WuH. S. (2005). The key topics in a successful math curriculum. Retrieved June 24, 2013, from http://math.berkeley.edu/∼wu/
  • MorganP. L.FarkasG.WuQ. (2009). Five-year growth trajectories of kindergarten children with learning difficulties in mathematics. Journal of Learning Disabilities, 42, 306–321.
  • National Association of State Directors of Special Education. (2006). Response to intervention: Policy considerations and implementation. Alexandria, VA: author.
  • National Center for Education Statistics. (2013). NAEP 2013 mathematics: Report card for the nation and the states. Washington, D. C.: U. S. Department of Education, Institute of Education Sciences.
  • National Council of Teachers of Mathematics. (2013). 2013 NCTM legislative platform. Reston, VA: author.
  • National Mathematics Advisory Panel. (2008). Foundations for success: The final report of the National Mathematics Advisory Panel. Washington, DC: U.S. Department of Education.
  • National Research Council. (2001). Adding it up: Helping children learn mathematics. Washington, DC: Mathematics Learning Study Committee.
  • National Research Council. (2009). Mathematics learning in early childhood: Paths towards excellence and equity. Washington, DC: National Academies Press.
  • National Science Board. (2008). Science and engineering indicators 2008 (NSB 08–01 [volume 1] and NSB 08–01A [volume 2]). Arlington, VA: National Science Foundation.
  • Newman-GoncharR.ClarkeB.GerstenR. (2009). A summary of nine key studies: Multi-tier intervention and response to interventions for students struggling in mathematics. Portsmouth, NH: RMC Research, Center on Instruction.
  • ObamaB. H. (2013, February 12). Obama's state of the union. The New York Times. Retrieved from http://www.nytimes.com
  • OkamotoY.CaseR. (1996). Exploring the microstructure of children's central conceptual structures in the domain of number. Monographs of the Society for Research in Child Development, 61, 27–59. doi:https://doi.org/10.1111/j.1540-5834.1996.tb00536.x
  • RolfhusE.GerstenR.ClarkeB.DeckerL.WilkinsC.DiminoJ. (2012). An evaluation of Number Rockets: A Tier 2 intervention for grade 1 students at risk for difficulties in mathematics (NCEE 2012–4007). Washington, DC: National Center for Education Evaluation and Regional Assistance, Institute of Education Sciences, U.S. Department of Education.
  • RothmanA. J. (2013). Exploring connections between moderators and mediators: Commentary on subgroup analyses in intervention research. Prevention Science, 14, 189–192.
  • SchaferJ. L.GrahamJ. W. (2002). Missing data: Our view of the state of the art. Psychological Methods, 7, 147–177.
  • ShinnM. R. (1989). Curriculum-based measurement: Assessing special children. New York: The Guilford Press.
  • SnijdersT.BoskerR. (1999). Multilevel analysis: An introduction to basic and advanced multilevel modeling. Thousand Oaks, CA: Sage.
  • SoodS.JitendraA. (2013). An exploratory study of number sense program to develop kindergarten students number proficiency. Journal of Learning Disabilities, 46, 328–346.
  • StarkeyP.KleinA. (2008). Sociocultural influences on young children's mathematical knowledge. In SarachoO. N.SpodekB (Eds.), Contemporary perspectives on mathematics in early childhood education (pp. 253–276). Charlotte, NC: Information Age.
  • VaughnS.FuchsL. (2003). Redefining learning disabilities as inadequate response to instruction: The promise and potential problems. Learning Disabilities Research & Practice, 18, 137–146.
  • VaughnS.WanzekJ.WoodruffA. L.Linan-ThompsonS. (2007). Prevention and early identification of students with reading disabilities. In HaagerD.KlingerJ.VaughnS. (Eds.), Evidence-based reading practices for response to intervention (pp. 11–27). Baltimore, MD: Paul H Brookes.
  • WanzekJ.VaughnS. (2010). Research-based implications from extensive early reading interventions. In GloverT. A.VaughnS. (Eds.), The promise of response to intervention: Evaluating current science and practice (pp. 113–142). New York: Guilford Press.
  • WarrenS. F.FeyM. E.YoderP. J. (2007). Differential treatment intensity research: A missing link to creating optimally effective communication interventions. Mental Retardation and Developmental Disabilities Research Reviews, 13, 70–77.
  • 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.
  • WitzelB. S.RiccominiP. J.SchneiderE. (2008). Implementing CRA with secondary students with learning disabilities in mathematics. Intervention in School and Clinic, 43, 270–276.
  • WoodcockR. M.JohnsonM. B. (1989). Woodcock-Johnson Psycho-Educational Battery–Revised. Allen, TX: DLM Teaching Resources.
  • WuH. (1999). Basic skills versus conceptual understanding. American Educator, 23(3), 14–19.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.