Rousselle, Laurence
[UCL]
Noël, Marie-Pascale
[UCL]
The adaptive use of approximate calculation was examined using a verification task with 18 third graders with mathematics learning disabilities, 22 typically achieving third graders, and 21 typically achieving second graders. Participants were asked to make true-false decisions on simple and complex addition problems while the distance between the proposed and the correct answer was manipulated. Both typically achieving groups were sensitive to answer plausibility on simple problems, were faster at rejecting extremely incorrect results than at accepting correct answers on complex addition problems, and showed a reduction of the complexity effect on implausible problems, attesting to the use of approximate calculation. Conversely, children with mathematics disabilities were unaffected by answer plausibility on simple addition problems, processed implausible and correct sums with equal speed on complex problems, and exhibited a smaller reduction of the complexity effect on implausible problems. They also made more errors on implausible problems. Different hypotheses are discussed to account for these results.
- Ashcraft, M.H., Mathematical Cognition, 1, 3 (1995)
- Ashcraft Mark H., Faust Michael W., Mathematics anxiety and mental arithmetic performance: An exploratory investigation, 10.1080/02699939408408931
- Ashcraft Mark H, Fierman Bennett A, Mental addition in third, fourth, and sixth graders, 10.1016/0022-0965(82)90017-0
- Ashcraft, M.H., Kirk, E.P. & Hopko, D. (1998). On the cognitive consequences of mathematics anxiety . In C. Donlan (Ed.), The development of mathematical skills (pp. 175-196). Hove, UK: Psychology Press.
- Ashcraft, M.H. & Ridley, K.S. (2005). Math anxiety and its cognitive consequences: A tutorial review. In J. I. D. Campbell (Ed.), Handbook of mathematical cognition (pp. 315-330). New York: Psychology Press.
- Ashcraft Mark H., Stazyk Edmund H., Menatal addition: A test of three verification models, 10.3758/bf03202334
- Badian, N.A. (1983). Arithmetic and nonverbal learning. In H. R. Myklebust (Ed.), Progress in learning disabilities (Vol. 5, pp. 235-264). New York: Grune and Stratton.
- Barbaresi William J., Katusic Slavica K., Colligan Robert C., Weaver Amy L., Jacobsen Steven J., Math Learning Disorder: Incidence in a Population-Based Birth Cohort, 1976–82, Rochester, Minn, 10.1367/a04-209r.1
- Butterworth, B. (2005). Developmental dyscalculia. In J. I. D. Campbell (Ed.), Handbook of mathematical cognition (pp. 455-467). New York: Psychology Press.
- Dehaene Stanislas, Cohen Laurent, Two mental calculation systems: A case study of severe acalculia with preserved approximation, 10.1016/0028-3932(91)90076-k
- Dehaene, S., Mathematical Cognition, 1, 83 (1995)
- Dehaene Stanislas, Cohen Laurent, Cerebral Pathways for Calculation: Double Dissociation between Rote Verbal and Quantitative Knowledge of Arithmetic, 10.1016/s0010-9452(08)70002-9
- Dehaene Stanislas, Piazza Manuela, Pinel Philippe, Cohen Laurent, THREE PARIETAL CIRCUITS FOR NUMBER PROCESSING, 10.1080/02643290244000239
- Dehaene S., Sources of Mathematical Thinking: Behavioral and Brain-Imaging Evidence, 10.1126/science.284.5416.970
- Faust Michael W., Mathematics Anxiety Effects in Simple and Complex Addition, 10.1080/135467996387534
- Geary David C., Mathematical disabilities: Cognitive, neuropsychological, and genetic components., 10.1037/0033-2909.114.2.345
- Geary David C., Children's mathematical development: Research and practical applications., ISBN:1557982589, 10.1037/10163-000
- Geary David C., Bow-Thomas C.Christine, Yao Yuhong, Counting knowledge and skill in cognitive addition: A comparison of normal and mathematically disabled children, 10.1016/0022-0965(92)90026-3
- Geary David C., Brown Sam C., Samaranayake V. A., Cognitive addition: A short longitudinal study of strategy choice and speed-of-processing differences in normal and mathematically disabled children., 10.1037/0012-1649.27.5.787
- Geary David C., Hamson Carmen O., Hoard Mary K., Numerical and Arithmetical Cognition: A Longitudinal Study of Process and Concept Deficits in Children with Learning Disability, 10.1006/jecp.2000.2561
- Geary, D.C. & Hoard, M.K. (2005). Learning disabilities in arithmetic and mathematics: Theoretical and empirical perspectives. In J. I. D. Campbell (Ed.), Handbook of mathematical cognition (pp. 253-268). New York: Psychology Press.
- Geary David C, Hoard Mary K, Byrd-Craven Jennifer, Catherine DeSoto M, Strategy choices in simple and complex addition: Contributions of working memory and counting knowledge for children with mathematical disability, 10.1016/j.jecp.2004.03.002
- Geary David C., Hoard Mary K., Byrd-Craven Jennifer, Nugent Lara, Numtee Chattavee, Cognitive Mechanisms Underlying Achievement Deficits in Children With Mathematical Learning Disability, 10.1111/j.1467-8624.2007.01069.x
- Geary David C., Hoard Mary K., Hamson Carmen O., Numerical and Arithmetical Cognition: Patterns of Functions and Deficits in Children at Risk for a Mathematical Disability, 10.1006/jecp.1999.2515
- Geary David C., Widaman Keith F., Little Todd D., Cormier Pierre, Cognitive addition: Comparison of learning disabled and academically normal elementary school children, 10.1016/s0885-2014(87)90075-x
- Gersten Russell, Chard David, Number Sense : Rethinking Arithmetic Instruction for Students with Mathematical Disabilities, 10.1177/002246699903300102
- Gersten Russell, Jordan Nancy C., Flojo Jonathan R., Early Identification and Interventions for Students With Mathematics Difficulties, 10.1177/00222194050380040301
- Groen Guy J., Parkman John M., A chronometric analysis of simple addition., 10.1037/h0032950
- Gross-Tsur Varda, Manor Orly, Shalev Ruth S., DEVELOPMENTAL DYSCALCULIA: PREVALENCE AND DEMOGRAPHIC FEATURES, 10.1111/j.1469-8749.1996.tb15029.x
- Hamann Mary Sue, Ashcraft Mark H., Simple and complex mental addition across development, 10.1016/0022-0965(85)90065-7
- Hanich Laurie B., Jordan Nancy C., Kaplan David, Dick Jeanine, Performance across different areas of mathematical cognition in children with learning difficulties., 10.1037/0022-0663.93.3.615
- Hecht Steven A., Torgesen Joseph K., Wagner Richard K., Rashotte Carol A., The Relations between Phonological Processing Abilities and Emerging Individual Differences in Mathematical Computation Skills: A Longitudinal Study from Second to Fifth Grades, 10.1006/jecp.2000.2586
- Jordan Nancy C., Hanich Laurie B., Characteristics of Children with Moderate Mathematics Deficiencies: A Longitudinal Perspective, 10.1111/1540-5826.00076
- Jordan Nancy C., Hanich Laurie B., Kaplan David, A Longitudinal Study of Mathematical Competencies in Children With Specific Mathematics Difficulties Versus Children With Comorbid Mathematics and Reading Difficulties, 10.1111/1467-8624.00571
- Jordon Nancy C., Kaplan David, Hanich Laurie B., Achievement growth in children with learning difficulties in mathematics: Findings of a two-year longitudinal study., 10.1037/0022-0663.94.3.586
- Jordan Nancy C., Montani Teresa Oettinger, Cognitive Arithmetic and Problem Solving : A Comparison of Children with Specific and General Mathematics Difficulties, 10.1177/002221949703000606
- Khomsi, A., Epreuve d'évaluation de la compétence en lecture: Lecture de mots et compréhension-révisée (LMC-R) [Evaluation tool of reading competence: Word reading and revised comprehension] (1998)
- Kosc Ladislav, Developmental Dyscalculia, 10.1177/002221947400700309
- Landerl Karin, Bevan Anna, Butterworth Brian, Developmental dyscalculia and basic numerical capacities: a study of 8–9-year-old students, 10.1016/j.cognition.2003.11.004
- LeFevre Jo-Anne, Greenham Stephanie L., Waheed Nausheen, The Development of Procedural and Conceptual Knowledge in Computational Estimation, 10.1207/s1532690xci1102_1
- Lemaire Patrick, Arnaud Laurence, Lecacheur Mireille, Adults' Age-Related Differences in Adaptivity of Strategy Choices: Evidence From Computational Estimation., 10.1037/0882-7974.19.3.467
- Lemaire Patrick, Lecacheur Mireille, Children's strategies in computational estimation, 10.1016/s0022-0965(02)00107-8
- Lemaire Patrick, Lecacheur Mireille, Farioli Fernand, Children's strategy use in computational estimation., 10.1037/h0087336
- Lemer Cathy, Dehaene Stanislas, Spelke Elizabeth, Cohen Laurent, Approximate quantities and exact number words: dissociable systems, 10.1016/s0028-3932(03)00123-4
- Lewis Clive, Hitch Graham J., Walker Peter, The Prevalence of Specific Arithmetic Difficulties and Specific Reading Difficulties in 9- to 10-year-old Boys and Girls, 10.1111/j.1469-7610.1994.tb01162.x
- Lobrot, M., Lire avec épreuves pour évaluer la capacité de lecture (D-ORLEC) [Proofs reading for assessing reading abilities] (1980)
- Mazzocco Michèle M. M., Myers Gwen F., Complexities in identifying and defining mathematics learning disability in the primary school-age years, 10.1007/s11881-003-0011-7
- Molko Nicolas, Cachia Arnaud, Rivière Denis, Mangin Jean-François, Bruandet Marie, Le Bihan Denis, Cohen Laurent, Dehaene Stanislas, Functional and Structural Alterations of the Intraparietal Sulcus in a Developmental Dyscalculia of Genetic Origin, 10.1016/s0896-6273(03)00670-6
- Mousty, P., Revue Européenne de Psychologie Appliquée, 4, 325 (1999)
- Resnick Lauren B., Developing mathematical knowledge., 10.1037/0003-066x.44.2.162
- Robinson Carol S., Menchetti Bruce M., Torgesen Joseph K., Toward a Two-Factor Theory of One Type of Mathematics Disabilities, 10.1111/1540-5826.00035
- Rousselle Laurence, Noël Marie-Pascale, Basic numerical skills in children with mathematics learning disabilities: A comparison of symbolic vs non-symbolic number magnitude processing, 10.1016/j.cognition.2006.01.005
- Russell Robert L., Ginsburg Herbert P., Cognitive Analysis of Children's Mathematics Difficulties, 10.1207/s1532690xci0102_3
- Shalev Ruth S, Manor Orly, Gross-Tsur Varda, Developmental dyscalculia: a prospective six-year follow-up, 10.1017/s0012162205000216
- Shrager Jeff, Siegler Robert S., SCADS: A Model of Children's Strategy Choices and Strategy Discoveries, 10.1111/1467-9280.00076
- Siegler Robert S., Individual Differences in Strategy Choices: Good Students, Not-So-Good Students, and Perfectionists, 10.2307/1130252
- Siegler, R.S. & Booth, J.L. (2005). Development of numerical estimation: A review . In J. I. D. Campbell (Ed.), Handbook of mathematical cognition (pp. 197-212). New York: Psychology Press.
- Siegler, R.S., Strategy choices in addition and subtraction: How do children know what to do? (1984)
- Spelke Elizabeth S, Tsivkin Sanna, Language and number: a bilingual training study, 10.1016/s0010-0277(00)00108-6
- Stanescu-Cosson Ruxandra, Pinel Philippe, van de Moortele Pierre-Francıois, Le Bihan Denis, Cohen Laurent, Dehaene Stanislas, Understanding dissociations in dyscalculia, 10.1093/brain/123.11.2240
- Temple Christine M., Sherwood Susan, Representation and retrieval of arithmetical facts: Developmental difficulties, 10.1080/02724980143000550
- Torbeyns Joke, Verschaffel Lieven, Ghesquiere Pol, Strategy Development in Childrenwith Mathematical Disabilities : Insights from the Choice/No-Choice Method and the Chronological-Age/ Ability-Level—Match Design, 10.1177/00222194040370020301
- Wechsler, D., Echelle d'intelligence de Wechsler pour enfants, troisième édition (WISC-III) [Wechsler Intelligence Scale for Children, third edition (WISC-III)] (1991)
- Zbrodoff, N.J., Journal of Experimental Psychology: Learning, Memory, and Cognition, 16, 83 (1990)
Bibliographic reference |
Rousselle, Laurence ; Noël, Marie-Pascale. Mental arithmetic in children with mathematics learning disabilities: the adaptive use of approximate calculation in an addition verification task.. In: Journal of learning disabilities, Vol. 41, no. 6, p. 498-513 (2008) |
Permanent URL |
http://hdl.handle.net/2078.1/23075 |