Complexities in identifying and defining mathematics learning disability in the primary school-age years

Alarcon, M., DeFries, J. C., Light, J. G., & Pennington, B. C. (1997). A twin study of mathematics disability. Journal of Learning Disabilities, 30, 617–623.

Badian, N. (1983). Dyscalculia and nonverbal disorders of learning. In H. Myklebust (Ed.). Progress in learning disabilities (pp. 235–264). New York: Stratton.

Battistia, M. (1980). Interrelationships between problem solving ability, right hemisphere processing facility and mathematical learning: Focus on learning problems in mathematics. Psychological Bulletin, 2, 53–60.

Benson, D. F., & Denckla, M. B. (1969). Verbal paraphasia as a source of calculation disturbance. Archives of Neurology, 21, 96–102.

Brooks-Gunn, J., Klebanov, P. K., & Duncan, G. J. (1996). Ethnic differences in children’s intelligence test scores: Role of economic deprivation, home environment, and maternal characteristics. Child Development, 67, 396–408.

Bull, R., Johnston, R. S., & Roy, J. A. (1999). Exploring the roles of the visual-spatial sketch pad and central executive in children’s arithmetic skills: Views from cognition and developmental neuropsychology. Developmental Neuropsychology, 15, 421–442.

Bull, R., & Scerif, G. (2001). Executive functioning as a predictor of children’s mathematics ability: Inhibition, switching, and working memory. Developmental Neuropsychology, 19, 273–293.

Ceci, S. J. (1991). How much does schooling influence general intelligence and its cognitive components? A reassessment of the evidence. Developmental Psychology, 27, 703–722.

Clarren, S. B., Martin, D. C., & Townes, B. D. (1993). Academic achievement over a decade: A neuropsychological prediction study. Developmental Neuropsychology, 9, 161–176.

Connolly, A. J. (1998). The key math revised: A diagnostic inventory of essential mathematics manual. Circle Pines, MN: American Guidance Service.

Consensus Project (2002, August): Definition Consensus Project sponsored by the International Dyslexia Association and the National Institutes of Child Health and Human Development.

Dehaene, S., Spelke, E., Pinel, P., Stanescu, R., & Tsivkin, S. (1999). Sources of mathematical thinking: Behavioral and brain imaging evidence. Science, 284, 970–973.

Denckla, M. B., & Rudel, R. G. (1976). Rapid automatized naming (R.A.N.): Dyslexia differentiated from other learning disabilities. Neuropsychologia, 14, 471–479.

Donlan, C., & Hutt, E. (1991). Teaching maths to young children with language disorders. In K. Durkin & B. Shire (Eds.). Language in mathematical education (pp. 198–207). Philadelphia: Open University Press.

Fleishner, J. E. (1994). Diagnosis and assessment of mathematics learning disabilities. In G. R. Lyon (Ed.). Frames of reference for the assessment of learning disabilities (pp. 441–458). Baltimore: Paul H. Brookes Publishing Company.

Fletcher, J. M. (1985). Memory for verbal and nonverbal stimuli in learning disability subgroups: Analysis by selective reminding. Journal of Experimental Child Psychology, 40, 244–259.

Fletcher, J. M., Francis, D. J., Shaywitz, S. E., Lyon, G. R., Foorman, B. R., Stuebing, K. K., & Shaywitz, B. A. (1998). Intelligence testing and the discrepancy model for children with learning disabilities. Learning Disabilities Research & Practice, 13, 186–203.

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, 37–55.

Francis, D. J., Shaywitz, S. E., Stuebing, K. K., Shaywitz, B. A., & Fletcher, J. M. (1994). 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 (pp. 29–58). Baltimore: Paul H. Brookes Publishing Company.

Francis, D. J., Shaywitz, S. E., Stuebing, K. K., Shaywitz, B. A., & Fletcher, J. M. (1996). Developmental lag versus deficit models of reading disability: A longitudinal, individual growth curves analysis. Journal of Educational Psychology, 88, 3–17.

Geary, D. C. (1990). A componential analysis of an early learning deficit in mathematics. Journal of Experimental Child Psychology, 49, 363–383.

Geary, D. C. (1993). Mathematical disabilities: Cognitive, neuropsychological, and genetic components. Psychological Bulletin, 114, 345–362.

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.

Geary, D., Hamson, C., & Hoard, M. (2001). 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.

Geary, D., & Hoard, M. (2001). Numerical and arithmetical deficits in learning disabled children: Relation to dyscalculia and dyslexia. Aphasiology, 15, 635–647.

Geary, D. C., Hoard, M. K., & Hamson, C. O. (1999). Numerical and arithmetical cognition: Patterns of functions and deficits in children at risk for a mathematical disability. Journal of Experimental Child Psychology. 74, 213–239.

Ginsburg, H., & Baroody, A. (1990). Test of Early Mathematics Ability (2nd ed.). Austin, TX: PRO-ED.

Gross-Tsur, V., Manor, O., & Shalev, R. S. (1996). Developmental dyscalculia: Prevalence and demographic features. Developmental Medicine and Child Neurology, 38, 25–33.

Hammill, D., Pearson, N., & Voress, J. (1993). Developmental test of visual perception (2nd. ed.). Austin, TX: PRO-ED.

Hanich, L. B., Jordan, N. C., Kaplan, D., & Dick, J. (2001). Performance across different areas of mathematical cognition in children with learning disabilities. Journal of Educational Psychology, 93, 615–626.

Hecht, S. A., Torgesen, J. K., Wagner, R. K., & Rashotte, C. A. (2001). The relations between phonological processing abilities and emerging individual differences in mathematical computation skills: A longitudinal study from second to fifth grades. Journal of Experimental Child Psychology, 79, 192–227.

Individuals with Disabilities Education Act (IDEA). (1997). Public Law 105–117, June 4, 1997.

Jordan, N. C., Hanich, L. B., & Kaplan, D. (2003). A longitudinal study of mathematical competencies in children with specific mathematics difficulties versus children with co-morbid mathematics and reading difficulties. Child Development, 74, 834–850.

Kamphaus, R. W., Petoskey, M. D., & Rowe, E. W. (2000). Current trends in psychological testing of children. Professional Psychology: Research and Practice, 31, 155–164.

Kulak, A. G. (1993). Parallels between math and reading disability: Common issues and approaches. Journal of Learning Disabilities, 26, 666–673.

Light, G. J., & DeFries, J. C. (1995). Comorbidity for reading and mathematics disabilities: Genetic and environmental etiologies. Journal of Learning Disabilities, 28, 96–106.

Luria, A. R. (1966). Higher cortical functions in man. New York: Basic Books.

Lyon, G. R. (1994). Critical issues in the measurement of learning disabilities. In G. R. Lyon (Ed.). Frames of reference for the assessment of learning disabilities (pp. 3–13). Baltimore: Paul H. Brookes Publishing Company.

Mazzocco, M. (2001). Mathematics disability and MD subtypes: Evidence from studies of Turner syndrome, fragile X, and neurofibromatosis type 1. Journal of Learning Disabilities. 34, 520–533.

Mazzocco, M. M. M., & Myers, G. F. (2002). Maximizing efficiency of enrollment for school-based educational research. Journal of Applied Social Psychology, 32, 1577–1587.

McCloskey, M. (1992). Cognitive mechanisms in numerical processing: Evidence from acquired dyscalculia. Cognition, 44, 107–157.

McLoyd, V. C. (1998). Socioeconomic disadvantage and child development. American Psychologist, 53, 185–204.

Miyake, A., Friedman, N. P., Emerson, M. J., Witzki, A. H., Howerter, A., & Wagner, T. D. (2000). The unity and diversity of executive functions and their contributions to complex frontal lobe tasks: A latent variable analysis. Cognitive Psychology, 41, 49–100.

Morris, R. D., Stuebing, K. K., Fletcher, J. M., Shaywitz, S. E., Lyon, G. R., Shankweiler, D. P., Katz, L., Francis, D. J., & Shaywitz, B. A. (1998). Subtypes of reading disability: Variability around a phonological core. Journal of Educational Psychology, 90, 347–373.

Mullis, I. V. S., Marting, M. O., Gonzalez, E. J., Gregory, K. D., Garden, R. A., O’Connor, K. M., Chrostowski, S. J., & Smith, T. A. (2000). TIMSS 1999: International mathematics report. Chestnut Hill, MA: TIMSS International Study Center.

Ramaa, S., & Gowramma, I. P. (2002). A systematic procedure for identifying and classifying children with dyscalculia among primary school children in India. Dyslexia, 8, 67–85.

Rourke, B. P. (1993). Arithmetic disabilities, specific and otherwise: A neuropsychological perspective. Journal of Learning Disabilities, 26, 214–226.

Russell, R. L., & Ginsburg, H. P. (1984). Cognitive analysis of children’s mathematics difficulties. Cognition and Instruction, 1, 217–244.

Sattler, J. M. (2001). Assessment of children: Cognitive applications (4th ed.). La Mesa, CA: Jerome Sattler Publisher, Inc.

Semrud-Clikeman, M., & Hynd, G. W. (1990). Right hemispheric dysfunction in nonverbal learning disabilities: Social, academic, and adaptive functioning in adults and children. Psychological Bulletin, 107, 196–209.

Shalev, R. S., Auerbach, J., Manor, O., & Gross-Tsur, V. (2000). Developmental dyscalculia: Prevalence and prognosis. European Child and Adolescent Psychiatry, 9, 58–64.

Shalev, R., Manor, O., Amir, N., & Gross-Tsur, V. (1993). The acquisition of arithmetic in normal children: Assessment by a cognitive model of dyscalculia. Developmental Medicine and Child Neurology, 35, 593–601.

Shalev, R., Manor, O., Auerbach, J., & Gross-Tsur, V. (1998). Persistence of developmental dyscalculia: What counts? Results from a 3-year prospective follow-up study. The Journal of Pediatrics, 133, 358–362.

Share, D. L., Moffit, T. E., & Silva, P. A. (1988). Factors associated with arithmetic-and-reading disability and specific arithmetic disability. Journal of Learning Disabilities, 21, 313–320.

Shaywitz, S. E., Fletcher, J. M., Holahan, J. M., Shneider, A. E., Marchione, K. E., Stuebing, K. K., Francis, D. J., Pugh, K. R., & Shaywitz, B. A. (1999). Persistence of dyslexia: The Connecticut longitudinal study at adolescence. Pediatrics, 104, 1351–1359.

Shaywitz, B. A., & Shaywitz, S. E. (1994). Measuring and analyzing change. In G. R. Lyon (Ed.). Frames of reference for the assessment of learning disabilities (pp. 59–68). Baltimore: Paul H. Brookes Publishing Company.

Siegel, L. S. (1989). IQ is irrelevant to the definition of learning disabilities. Journal of Learning Disabilities, 22, 469–479.

Siegel, L. S., & Linder, B. A. (1984). Short-term memory processes in children with reading and arithmetic learning disabilities. Developmental Psychology, 20, 200–207.

Silver, C. H., Pennett, D., Black, J. L., Fair, G. W., & Balise, R. R. (1999). Stability of arithmetic disability subtypes. Journal of Learning Disabilities, 32, 108–119.

Strang, J., & Rourke, B. (1983). Arithmetic disability subtypes: The neuropsychological significance of specific arithmetical impairment in childhood. In B. Rourke (Ed.). Neuropsychology of learning disabilities: Essential subtype analysis (pp.167–183). New York: Guilford Press.

Swanson, H. L. (1993). Working memory in learning disability subgroups. Journal of Experimental Child Psychology, 56, 87–114.

Teisl, J. T., Mazzocco, M. M. M., & Myers, G. (2001). The utility of kindergarten teacher ratings for predicting low academic achievement in first grade. Journal of Learning Disabilities, 34, 286–293.

Thorndike, R. L., Hagen, E. P., & Sattler, J. M. (1986). The Stanford Binet intelligence scale: Guide for administering and scoring (4th ed.). Chicago: The Riverside Publishing.

Torgesen, J. K., Wagner, R. K., & Rashotte, C. A. (1994). Longitudinal studies of phonological processing and reading. Journal of Learning Disabilities, 27, 276–286.

Torgesen, J. K., Wagner, R. K., & Rashotte, C. A. (1997). The prevention and remediation of severe reading disabilities: Keeping the end in mind. Scientific Studies of Reading, 1, 217–234.

von Aster, M. (2000). Developmental cognitive neuropsychology of number processing and calculation: Varieties of developmental dyscalculia. European Child & Adolescent Psychiatry, 9, 41–57.

Wechsler, D. (1999). Wechsler abbreviated scale of intelligence. San Antonio, TX: The Psychological Corporation.

Wolf, M. (1997). A provisional, integrative account of phonological naming speed deficits in dyslexia: Implications for diagnosis and intervention. In B. Blachman (Ed.). Foundations of reading acquisition and dyslexia (pp. 67–93). Mahwah, NJ: Lawrence Erlbaum Associates.

Woodcock, R., & Johnson, M. (1989). Woodcock-Johnson psycho-educational battery - Revised. Allen, TX: DLM Teaching Resources.