As recent research efforts have focused on preventing reading difficulties and enhancing the effectiveness of special education services for students with reading problems, similar efforts in mathematics have not been realized. This article describes the development and preliminary field testing of a set of measures designed to screen students in kindergarten and first grade to identify those at risk for potential mathematics difficulties. Evidence-based steps to streamline the screening process are described, and plans for testing the predictive validity of the measures are outlined.
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References
1.
Baker, S., Gersten, R., Katz, R., Chard, D.J., & Clarke, B. (2002). Preventing mathematics difficulties in young children: Focus on effective screening of early number sense delays ( Technical Report#0305). Eugene, OR: Pacific Institutes for Research.
2.
Baker, S., Gersten, R., & Lee, D. (2002). A synthesis of empirical research on teaching mathematics to low achieving students. Elementary School Journal , 103, 45-74.
3.
Clarke, B., & Shinn, M.R. (in press). A preliminary investigation into the identification and development of early mathematics curriculum-based measurement. School Psychology Review.
4.
Deno, S.L. (1989). Curriculum-based measurement and special education services: A fundamental and direct relationship. In M. Shinn (Ed.). Curriculum-based measurement: Assessing special children (pp. 1-17). New York: Guilford Press.
5.
Fletcher, J.M., Foorman, B.R., Boudousquie, A., Bames, M.A., Schatschneider, C., & Francis, D.J. (2002). Assessment of reading and learning disabilities: A research-based intervention-oriented approach. Journal of School Psychology, 40, 27-63.
6.
Fuchs, L.S., & Fuchs, D. (2001). Principles for the prevention and intervention of mathematics difficulties. Learning Disabilities Research & Practice, 16(2), 85-95.
7.
Fuchs, L.S., & Fuchs, D. (1999). Monitoring student progress toward the development of reading competence: A review of three forms of classroom-based assessment . School Psychology Review, 28, 659-671.
8.
Geary, D.C. (2004). Mathematics and learning disabilities. Journal of Learning Disabilities, 37, 4-15.
9.
Geary, D.C., Bow-Thomas, C.C., & Yao, Y. (1992). Counting knowledge and skill in cognitive addition: A comparison of normal and mathematically disabled children. Journal of Experimental Child Psychology,54, 372-391.
10.
Gelman, R., & Gallistel, C.R. (1978). The child's understanding of number. Cambridge, MA: Harvard University Press.
11.
Gelman, R., & Meck, E. (1983). Preschooler's counting: Principles before skill . Cognition, 13, 343-359.
12.
Gersten, R., & Chard, D. (1999). Number sense: Rethinking arithmetic instruction for students with mathematical disabilities. Journal of Special Education, 33(1), 18-28.
13.
Gersten, R., Chard, D.J., Baker, S., & Lee, D. (2002). A synthesis of empirical research on teaching mathematics to students with learning disabilities. Los Alamitos, CA: Instructional Research Group.
14.
Good, R.H., Kame'enui, E.J., Simmons, D.C., & Chard, D.J. (in preparation). Using Dynamic Indicators of Basic Early Literacy Skills in a schoolwide model for primary, secondary, and tertiary prevention . Eugene: University of Oregon.
15.
Good, R.H., Simmons, D.C., & Kame'enui, E.J. (2001). The importance and decision-making utility of a continuum of fluency-based indicators of foundational reading skills for third-grade high-stakes outcomes. Scientific Studies of Reading, 5(3), 257-288.
16.
Griffin, S. (1998, April). Fostering the development of whole number sense. Paper presented at the American Educational Research Association, San Diego, CA.
17.
Griffin, S., & Case, R. (1997). Re-thinking the primary school math curriculum: An approach based on cognitive science. Issues in Education , 3(1), 1-49.
18.
Griffin, S., Case, R., & Siegler, R.S. (1994). Rightstart: Providing the central conceptual prerequisites for first formal learning of arithmetic to students at risk for school failure . In K. McGilly (Ed.). Classroom lessons: Integrating cognitive theory and classroom practice (pp. 25-49). Cambridge, MA: MIT Press.
Harcourt Brace Educational Measurement. (1996 b). Stanford Early School Achievement Test-Fourth Edition [SESAT-2] . Orlando, FL: Harcourt.
21.
Kaminski, R.A., & Good, R.H. (1996). Toward a technology for assessing basic early literacy skills. School Psychology Review, 25, 215-227.
22.
National Reading Panel. (2000). Report of the National Reading Panel: Teaching children to read: An evidence-based assessment of the scientific research literature on reading and its implications for reading instruction. Washington, DC: National Institute of Child Health and Human Development.
23.
National Research Council. (2001). Adding it up: Helping children learn mathematics. J. Kilpatrick, J. Swafford, & B. Findell (Eds.). Mathematics Learning Study Committee, Center for Education, Division of Behavioral and Social Sciences and Education. Washington, DC: National Academy Press.
24.
Okamoto, Y., & Case, R. (1996). Exploring the microstructure of children's central conceptual structures in the domain of number. In R. Case & Y. Okamoto (Eds.), The role of central conceptual structures in the development of children's thought: Monographs of the Society for Research in Child Development (Vol. 1-2, pp. 27-58). Malden, MA: Blackwell Publishers.
25.
Shinn, M.R., Good, R.H., Knutson, N., & Tilly, W.D. (1993). Curriculum-based measurement of oral reading fluency: A confirmatory analysis of its relation to reading. School Psychology Review, 21(3), 459-479.
26.
Siegler, R.S. (1991). In young children's counting, procedures precede principles. Educational Psychology Review, 3, 127-135.
27.
Simeonsson, R.J. (1994). Promoting children's health, education, and well-being . In R. J. Simeonsson (Ed.), Risk, resilience, & prevention (pp. 3-11). Baltimore: P. H. Brooks.
28.
Torgesen, J.K. (2002). The prevention of reading difficulties. Journal of School Psychology, 40, 7-26.
29.
Vaughn, S., & Fuchs, L. (2003). Redefining learning disabilities as inadequate response to instruction: The promise and potential problems. Learning Disabilities Research and Practice, 18, 137-146.
30.
Vaughn, S., Linan-Thompson, S., & Hickman, P. (2003). Response to instruction as a means of identifying students with reading/learning disabilities. Exceptional Children , 69, 391-409.
31.
Walker, H.M., Horner, R.H., Sugai, G., Bullis, M., Sprague, J.R., Bricker, D., et al. (1996). Integrated approaches to preventing antisocial behavior patterns among school-age children and youth. Journal of Emotional and Behavioral Disorders, 4, 194-209.
