Mathematics and metacognition in adolescents and adults with learning disabilities

Main Article Content

Annemie Desoete

Abstract

A majority of studies on learning disabilities have focused on elementary grades. Although
problems with learning disabilities are life-affecting only a few studies focus on deficits in
adults. In this study adults with isolated mathematical disabilities (n=101) and adults with
combined mathematical and reading disabilities (n=130) solved tests on procedural
calculation and number knowledge, numerical facility and visuospatial skills.
Metacognitive skilfulness was assessed through calibration measures, a questionnaire,
stimulated recall, and thematic analyses after a qualitative interactive interview with a
flexible agenda to discover the interviewee’s own framework of meanings and to avoid
imposing the researcher’s structures and assumptions. In our dataset the isolated group
(MD) did worse than the comorbid group (M+RD) on mental representation, dealing with
contextual information and number knowledge. However the comorbid group did worse on
the number sense tasks. No significant differences were found between the MD and M+RD
adults for fact retrieval, procedural calculation and visuo spatial tasks. In addition adults
with MD overestimated their mathematics results, whereas individuals with M+RD
underestimated their results in the calibration task. Moreover, adults with M+RD thought
that they were worse on the evaluation of the own results, the evaluation of the own
capacities and on monitoring when things went wrong compared with adults in the M+RD
group. Thematic analyses revealed that many adults had problems with planning and
keeping track of steps and that supporting surroundings were important protective factors
towards the chances of success. Consequences for the assessment of metacognition in adults
and for the support of adults with mathematical disabilities are discussed.

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DESOETE, Annemie. Mathematics and metacognition in adolescents and adults with learning disabilities. International Electronic Journal of Elementary Education, [S.l.], v. 2, n. 1, p. 82-100, aug. 2017. ISSN 1307-9298. Available at: <https://iejee.com/index.php/IEJEE/article/view/259>. Date accessed: 19 sep. 2020.
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References

Barbaresi, W.J., Katusic, S.K., Colligan, R.C., Weaver, A.L., & Jacobsen, S.J. (2005).
Learning disorder: Incidence in a population-based birth cohort, 1976-82, Rochester,
Minn, Ambulatory Pediatrics, 5 (5), 281-289.
Beacham, N., & Trott, C. (2005). Screening for dyscalculia within Higher Education. MSOR
Connections, 5 (1), 40-43
Beacham, N., & Trott, C. (2006a). Project update. Widening the use of DyscalculiUM: A
first-line screening test for dyscalculia in higher education. MSOR Connections, 6 (1),
1-3.
Beacham, N., & Trott, C. (2006b). Project Report: Wider use of DyscalculiUM: An electronic
screening tool for dyscalculia in H.E. MSOR Connections, 6 (2), 12-19.
Borkowski, J. G., Chan, L. K. S., & Muthukrishna, N. (2000). A proces-oriented model of
metacognition: Links between motivation and executive functioning. In G. Schraw &
J. C. Impara (Eds.), Issues in the measurement of metacognition (pp. 1-41). Lincoln,
NE: Buros Institute of Mental Measurements.
Clark, L., A., Watson, D., & Reynolds, S. (1995). Diagnosis and classification of
psychopathology: challenges to the current system and future directions. Annual
Review of Psychology, 46, 121-153.
Coffey, A., & Atkinson, P. (1996). Making sense of qualitative data. Thousand Oaks, Sage.
Cornoldi, C., Venneri, A., Marconato, F., Molin, A., & Montinaro, C. (2003). A rapid
screening measure for the identification of visuospatial learning disability in schools.
Journal of learning disabilities, 36, 299-306.
Creswell, J.W. (2003). Research design. Qualitative, quantitative and mixed methods
approaches. Thousand Oaks, Sage.
Desoete, A. (2008). Co-morbidity in mathematical learning disabilities: Rule or exception?
The Open rehabilitation Journal, 1 (1), 15-26.
Desoete, A. (2007a). Students with mathematical disabilities in Belgium: from definition,
classification and assessment to STICORDI devices. (181-222). In T.E. Scruggs &
M.A. Mastropieri (Eds.), Advances in Learning and Behavioral Disabilities, Vol. 20.
International Perspectives Amsterdam & Oxford: Elsevier Press.
Desoete, A. (2007b). Evaluating and improving the mathematics teaching-learning process
through metacognition? Electronic Journal of Research in Educational Psychology, 5
(3), 705-730.
Desoete, A., & Roeyers, H. (2006). Cognitieve Deelhandelingen van het Rekenen Jongvolwassenen.
CDR 5de graad. VCLB Service cvba
Desoete, A., Roeyers, H., & Buysse, A. (2001). Metacognition and mathematical problem
solving in grade 3. Journal of Learning Disabilities, 34, 435-449.
Desoete, A., Roeyers, H., & De Clercq, A. (2004). Children with Mathematics Learning
Disabilities in Belgium. Journal of Learning Disabilities, 37 (1), 50-61.
Desoete, A., Roeyers, H., & Huylebroeck, A. (2006). Metacognitive skills in Belgian third
grade children (age 8 to 9) with and without mathematical learning disabilities.
Metacognition and Learning, 1 ( 2), 119-135.
De Vos, T. (1992). Tempo Test Rekenen (TTR). Nijmegen: Berkhout.
Dowker, A. (2005). Individual differences in arithmetic. Implications for psychology,
neuroscience and education. Hove, UK: Psychology Press.
Efklides, A. (2001). Metacognitive experiences in problem solving: Metacognition,
motivation, and self-regulation. In A. Efklides, J. Kuhl, & R. M. Sorrentino (Eds.),
Trends and prospects in motivation research (pp. 297-323). Dordrecht, the
Netherlands: Kluwer.
Elshout-Mohr, M., Meijer, J., van Daalen-Kapteijns, M., & Meeus, W. (2003). A self-report
inventory for metacognition related to academic tasks. Paper presented at the 10th
Conference of the European Association for Research on Learning and Instruction
(EARLI) Padova, Italy 26-30 August 2003.
Flick, U. (1998). An introduction to qualitative research. London, Sage.
Frank, A.W. (2004). After methods, the story: from incongruity to truth in qualitative
research. Qualitative Health Research, 14 (3), 430-440.
Fuchs, L., & Fuchs, D. (2002). Mathematical problem-solving profiles of students with
mathematics disabilities with and without reading disabilities. Journal of Learning
Disabilities, 35, 564-574
Geary, D.C. (2004). Mathematics and Learning Disabilities. Journal of Learning
Disabilities, 37 (1), 4-13.
Holliday, A. (2002). Doing and writing qualitative research. London: Sage.
Jordan, N., 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.
Kaplan, B., Crawford, S., Cantell, M., Kooistra, L., & Dewey, D. (2006). Comorbidity, cooccurrence,
continuum: what’s in a name? Child: care, health and development, 32,
723-731.
Kibby, M. Y., Marks, W., Morgan, S., & Long, C. J. (2004). Specific impairment in
developmental reading disabilities: A working memory approach. Journal of Learning
Disabilities, 37(4), 349-363.
Light, J.G., & DeFries, J.C. (1995). Comorbidity of reading and mathematics disabilities:
Genetic and environmental etiologies. Journal of learning disabilities, 28, 96-106.
Lin, L. M., & Zabrucky, K. M. (1998). Calibration of comprehension: research and
implications for education and instruction. Contemporary Educational Psychology, 23,
345-391.
Martinez, R. (2006). Social support in inclusive middle schools: perceptions of youth with
learning disabilities, Psychology in the Schools, 43 (2), 197-209.
Martinez, R. & Semrud-Clikeman, M. (2004). Emotional Adjustment and School
Functioning of Young Adolescents with Multiple Versus Single LearningDisabilities,
Journal of Learning Disabilities, 37 (5), 411-420.
Neale, M.C., & Kendler, K.S. (1995). Models of Comorbidity for Multifactorial Disorders,
American Journal of Human Genetics, 57 (4), 935-953.
Pennington, B. F. (2006). From single to multiple deficit models of developmental disorders.
Cognition, 101, 385-413.
Pressley, M. (2000). Development of grounded theories of complex cognitive processing:
Exhaustive within- and between study analyses of thinking-aloud data. In G. Schraw,
& J. C. Impara (Eds.), Issues in the measurement of metacognition (pp. 262-296).
Lincoln, NE: Buros Institute of Mental Measurements.
Pugalee, D. K. (2001). Writing, mathematics, and metacognition: Looking for connections
through students’ work in mathematical problem solving. School Science and
Mathematics, 101, 236-245.
Ritchie, J., & Lewis, J. (Eds.) (2003). Qualitative research practice: a guide for social science
students and researchers. London: Sage.
Rhee, S. H., Hewitt, J. K., Corley, R. P., Willcutt, E. G., & Pennington, B. F. (2005). Testing
Hypotheses Regarding the Causes of Comorbidity: Examining the Underlying Deficits
of Comorbid Disorders. Journal of Abnormal Psychology, 114, 346-362.
Seale, C., Gogo, G., Gubrium, J.F., & Silverman, D. (2004). Qualitative research practice.
London: Sage.
Shalev, R.S., Manor, O., & Gross-Tsur, V. (2005). Developmental dyscalculia: A prospective
six-year follow-up. Developmental Medicine & Child Neurology, 47, 121-125.
Sternberg, R. J. (1985). Beyond IQ: A Triarchic Theory of Intelligence. Cambridge:
Cambridge University Press.
Sternberg, R. J. (1997). A Triarchic View of Giftedness: Theory and Practice. In N.
Coleangelo & G. A. Davis (Eds.), Handbook of Gifted Education (pp. 43-53). Boston,
MA: Allyn and Bacon.
Stock, P., Desoete, A., & Roeyers, H. (2006). Focussing on mathematical disabilities: a
search for definition, classification and assessment. In Soren V. Randall (Ed.),
Learning Disabilities New Research. Nova Science: Hauppage, NY.
Swanson, H.L., Jerman, O., & Zheng, X. (2009). Math disabilities and reading disabilities:
Can they be separated? Journal of Psychoeducational Assessment, 27, 175-196.
Swanson, H. L., & Jerman, O. (2006). Math disabilities: A selective meta-analysis of the
literature. Review of Educational Research, 76, 249-274
Swanson, H.L., Jerman, O., & Zheng, X. (2008). Math Disabilities and Reading Disabilities:
Can they be Separated? Journal of Psycho-educational assessment, in press.
Swanson, H. L., & Sachse-Lee, C. (2001). Mathematical problem solving and working
memory in children with learning disabilities: Both executive and phonological
processes are important. Journal of Experimental Child Psychology, 79, 294–321.
Tesch, R. (1991). Qualitative research: analysis types and software tools. New York: Falmer
Trott, C. & Beacham, N. (2006). DyscalculIUM. UK: Mathematics Education Centre,
Loughborough University.
Van der Sluis, S., de Jong, P. F., & van der Leij, A. (2007). Executive functioning in
children, and its relations with reasoning, reading, and arithmetic. Intelligence, 35,
427-449
Veenman, M.V.J., Van Hout-Wolters, B.H.A.M., & Afflerbach, P. (2006). Metacognition and
learning. Conceptual and methodological considerations. Metacognition Learning, 1,
3-14.
Veenman, M. V. J. (2005). The assessment of metacognitive skills: What can be learnedfrom
multi-method designs? In C. Artelt, & B. Moschner (Eds), Lernstrategien und
Metakognition: Implikationen für Forschung und Praxis (pp. 77-99). Münster:
Waxmann.
Willcutt, E.G., Pennington, B.F., Boada, R., Ogline, J.S., Tunick, R.A., Chhabildas, N.A. et
al. (2001). A comparison of the cognitive deficits in reading disability an attentiondeficit/
hyperactivity disorder. Journal of Abnormal Psychology, 110 (1), 157-172.