Early identification and interventions for students with mathematics difficulties

Journal of Learning Disabilities

Volumn 38, Issue 4, 2005, Pages 293-304

  Gersten, Russell ^a   Jordan, Nancy C ^c   Flojo, Jonathan R ^b  

^a UNIVERSITY OF OREGON   (United States)

^b Instructional Research Group   (United States)

^c UNIVERSITY OF DELAWARE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 23244457148     PISSN: 00222194     EISSN: None     Source Type: Journal    
DOI: 10.1177/00222194050380040301     Document Type: Article

References (64)

1. Adams, M. J. (1990). Beginning to read: Thinking and learning about print. Cambridge, MA: MIT Press.
2. Baker, S., Gersten, R., Flojo, J., Katz, R., Chard, D., & Clarke, B. (2002). Preventing mathematics difficulties in young children: Focus on effective screening of early number sense delays (Tech. Rep. No. 0305). Eugene, OR: Pacific Institutes for Research.
3. Baker, S., Gersten, R., & Keating, T. J. (2000). When less may be more: A 2-year longitudinal evaluation of a volunteer tutoring program requiring minimal training. Reading Research Quarterly, 35, 494-519.
4. Baker, S., Gersten, R., & Lee, D. (2002). A synthesis of empirical research on teaching mathematics to low-achieving students. The Elementary School Journal, 103, 51-73.
5. Bereiter, C., & Scardamalia, M. (1981). From conversation to composition: The role of instruction in a developmental process. In R. Glaser (Ed.), Advances in instructional psychology (Vol. 2, pp. 132-165). Hillsdale, NJ: Erlbaum.
6. Brownell, W. A., & Carper, D. V. (1943). Learning multiplication combinations. Durham, NC: Duke University Press.
7. Case, R., & Griffin, S. (1990). Child cognitive development: The role of central conceptual structures in the development of scientific and social thoughts. In C. A. Hauert (Ed.), Advances in psychology-Developmental psychology: Cognitive, perception-motor and neurological perspectives. Amsterdam: North Holland.
8. Case, L. P., Harris, K. R., & Graham, S. (1992). Improving the mathematical problem-solving skills of students with learning disabilities: Self-regulated strategy development. The Journal of Special Education, 26, 1-19.
9. Chard, D., Clarke, B., Baker, B., Otterstedt, J., Braun, D., & Katz, R. (in press). Using measures of number sense to screen for difficulties in mathematics: Preliminary findings. Assessment Issues in Special Education.
10. 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.
11. Dehaene, S. (1997). The number sense: How the mind creates mathematics. New York: Oxford University Press.
12. Francis, D. J., Shaywitz, S., Steubing, K., Shaywitz, B., & Fletcher, J. (1994). The measurement of change: Assessing behavior over time and within a developmental context. In G. R. Lyon (Ed.), Frames of reference for the assessment of learning disabilities: New views on measurement (pp. 29-58). Baltimore: Brookes.
13. Frick, P. J., Lahey, B. B., Christ, M. A. G., Loeber, R., & Green, S. (1991). History of childhood behavior problems in biological relatives of boys with attention deficit hyperactivity disorder and conduct disorder. Journal of Clinical Child Psychology, 20,445-451.
14. Fuchs, L. S., Fuchs, D., & Karns, K. (2001). Enhancing kindergartners' mathematical development: Effects of peer-assisted learning strategies. The Elementary School Journal, 101, 495-510.
15. Fuchs, L. S., Fuchs, D., Karns, K., Hamlett, C. L., & Katzaroff, M. (1999). Mathematics performance assessment in the class-room: Effects on teacher planning and student problem solving. American Educational Research Journal, 36, 609-646.
16. Fuchs, L. S., Fuchs, D., & Prentice, K. (2004). Responsiveness to mathematical problem-solving instruction: Comparing students at risk of mathematics disability with and without risk of reading disability. Journal of Learning Disabilities, 37, 293-306.
17. Geary, D. (1990). A componential analysis of an early learning deficit in mathematics. Journal of Experimental Child Psychology, 33, 386-404.
18. Geary, D. C. (1993). Mathematical disabilities: Cognitive, neuropsychological, and genetic components. Psychological Bulletin, 114, 345-362.
19. Geary, D. C. (1994). Children's mathematical development. Washington, DC: APA.
20. Geary, D. C. (2003). Learning disabilities in arithmetic: Problem solving differences and cognitive deficits. In H. L. Swanson, K. Harris, & S. Graham (Eds.), Handbook of learning disabilities (pp. 199-212). New York: Guilford.
21. Geary, D. C. (2004). Mathematics and learning disabilities. Journal of Learning Disabilities, 37, 4-15.
22. Geary, D. C., & Brown, S. C. (1991). Cognitive addition: Strategy choice and speed-of-processing differences in gifted, normal, and mathematically disabled children. Developmental Psychology, 27, 787-797.
23. Geary, D. C., Hamson, C. O., & Hoard, M. K. (2000). Numerical and arithmetical cognition: A longitudinal study of process and concept deficits in children with learning disability. Journal of Experimental Child Psychology, 77, 236-263.
24. Gersten, R., & Chard, D. (1999). Number sense: Rethinking arithmetic instruction for students with mathematical disabilities. The Journal of Special Education, 33(1), 18-28.
25. Gersten, R., Chard, D., Baker, S., Jayanthi, M., Flojo, J., & Lee, D. (under review). Experimental and quasi-experimental research on instructional approaches for teaching mathematics to students with learning disabilities: A research synthesis. Review of Educational Research.
26. Gersten, R., Chard, D., Griffiths, R., Katz, R., & Bryant, D. (2003, April). Methods and materials for reaching students in early and intermediate mathematics. Paper presented at the Council for Exceptional Children, Seattle, WA.
27. Goldman, S. R., & Pellegrino, J. W. (1987). Information processing and educational microcomputer technology: Where do we go from here? Journal of Learning Disabilities, 20, 144-154.
28. Goldman, S. R., Pellegrino, J. W., & Mertz, D. L. (1988). Extended practice of basic addition facts: Strategy changes in learning disabled students. Cognition and Instruction, 5, 223-265.
29. Greeno, J. (1991). Number sense as situated knowing in a conceptual domain. Journal for Research in Mathematics Education, 22, 170-218.
30. Griffin, S. (1998, April). Fostering the development of whole number sense. Paper presented at the annual meeting of the AERA, San Diego, CA.
31. Griffin, S. (2004). Building number sense with number worlds: A mathematics program for young children. Early Childhood Research Quarterly, 19(1), 173-180.
32. 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.
33. Griffin, S. A., 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. 24-49). Cambridge, MA: MIT Press.
34. Hanich, L., Jordan, N., Kaplan, D., & Dick, J. (2001). Performance across different areas of mathematical cognition in children with learning disabilities. Journal of Educational Psychology, 93, 615-626.
35. Harcourt Educational Measurement. (2001). Stanford achievement test (9th ed.). San Antonio, TX: Author.
36. Hasselbring, T. S., Goin, L. I., & Bransford, J. D. (1988). Developing math automaticity in learning handicapped children: The role of computerized drill and practice. Focus on Exceptional Children, 20(6), 1-7.
37. Jordan, N., & Hanich, L. (2003). Characteristics of children with moderate mathematics deficiencies: A longitudinal perspective. Learning Disabilities Research & Practice, 18, 213-221.
38. Jordan, N., Hanich, L., & Kaplan, D. (2003). A longitudinal study of mathematical competencies in children with specific mathematics difficulties versus children with comorbid mathematics and reading difficulties. Child Development, 74, 834-850.
39. 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.
40. Jordan, N., Levine, S., & Huttenlocher, J. (1994). Development of calculation abilities in middle and low income children after formal instruction in school. Journal of Applied Developmental Psychology, 15, 223-240.
41. Jordan, N., & Montani, T. (1997). Cognitive arithmetic and problem solving: A comparison of children with specific and general mathematics difficulties. Journal of Learning Disabilities, 30, 624-634.
42. Juel, C. (1988). Learning to read and write: A longitudinal study of 54 children from first through fourth grades. Journal of Educational Psychology, 80, 437-447.
43. Kalchman, M., Moss, J., & Case, R. (2001). Psychological models for the development of mathematical understanding: Rational numbers and functions. In S. Carver & D. Klahr (Eds.), Cognition and instruction (pp. 1-38). Mahwah, NJ: Erlbaum.
44. LeFevre, J., Bisanz, J., Daley, K., Buffone, L., Greenham, S., & Sadesky, G. (1996). Multiple routes to solution of single-digit multiplication problems. Journal of Experimental Psychology: General, 125, 284-306.
45. Liberman, I. Y., Shankweiler, D., & Liberman, A. M. (1989). The alphabetic principle and learning to read. In D. Shankweiler & I. Y. Liberman (Eds.), Phonology and reading disability: Solving the reading puzzle (pp. 1-33). Ann Arbor: University of Michigan Press.
46. Milgram, J. (2004, March 7-10). Assessing students' mathematics learning: Issues, costs, and benefits. Paper presented at the MSRI (Math Science Research Institute) workshop, Berkley, CA.
47. 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.
48. O'Connor, R. E., Notari-Syverson, A., & Vadasy, P. F. (1996). Ladders to literacy: The effects of teacher-led phonological activities for kindergarten children with and without learning disabilities. Exceptional Children, 63, 117-130.
49. Okamoto, Y., & Case, R. (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.
50. Ostad, S. (1998). Developmental differences in solving simple arithmetic word problems and simple number-fact problems: A comparison of mathematically disabled children. Mathematical Cognition, 4(1), 1-19.
51. Pellegrino, J. W., & Goldman, S. R. (1987). Information processing and elementary mathematics. Journal of Learning Disabilities, 20, 23-32.
52. Rittle-Johnson, B., Siegler, R., & Alibali, M. (2001). Developing conceptual understanding and procedural skill in mathematics: An iterative process. Journal of Educational Psychology, 93, 346-362.
53. Robinson, C., Menchetti, B., & Torgesen, J. (2002). Toward a two-factor theory of one type of mathematics disabilities. Learning Disabilities Research & Practice, 17, 81-89.
54. Schatschneider, C., Carlson, C. D., Francis, D. J., Foorman, B., & Fletcher, J. (2002). Relationships of rapid automatized naming and phonological awareness in early reading development: Implications for the double deficit hypothesis. Journal of Learning Disabilities, 35, 245-256.
55. Schatschneider, C., Fletcher, J., Francis, D. J., Carlson, C. D., & Foorman, B. (2004). Kindergarten prediction of reading skills: A longitudinal comparative analysis. Journal of Educational Psychology, 96, 265-282.
56. Shrager, J., & Siegler, R. S. (1998). SCADS: A model of children's strategy choices and strategy discoveries. Psychological Science, 9, 405-422.
57. Siegel, L., & Ryan, E. (1988). Development of grammatical- sensitivity, phonological, and short-term memory skills in normally achieving and learning disabled children. Developmental Psychology, 24, 28-37.
58. Siegler, R. (1988). Individual differences in strategy choices: Good students, not-so-good students, and perfectionists. Child Development, 59, 833-851.
59. Siegler, R. S., & Shrager, J. (1984). Strategy choice in addition and subtraction: How do children know what to do? In C. Sophian (Ed.), Origins of cognitive skills (pp. 229-293). Mahwah, NJ: Erlbaum.
60. Swanson, H. L., & Beebe-Frankenberger, M. E. (2004). The relationship between working memory and mathematical problem solving in children at risk and not at risk for serious math difficulties. Journal of Educational Psychology, 96, 471-491.
61. Vellutino, F., Scanlon, D. M., Sipay, E. R., Small, S. G., Pratt, A., Chen, R., et al. (1996). Cognitive profiles of difficult-toremediate and readily remediated poor readers: Intervention as a vehicle for distinguishing between cognitive and experimental deficits as basic cause of specific reading disability. Journal of Educational Psychology, 88, 601-638.
62. Woodcock, R., & Johnson, M. (1990). Woodcock-Johnson psycho-educational battery: Test of achievement. Chicago: Riverside.
63. Woodcock, R., & Mather, N. (1989). Woodcock-Johnson Tests of Achievement Standard and Supplemental Batteries: Examiner's manual. Allen, TX: DLM.
64. Woodward, J., & Montague, M. (2002). Meeting the challenge of mathematics reform for students with learning disabilities. The Journal of Special Education, 36, 89-101.