A Systematic Review of Instructional Interventions Applied to Primary School Students with Mathematics Learning Difficulties

Tunahan Filiz, Gönül Güneş

Abstract


This study was undertaken to systematically analyze instructional interventions employed to enhance the mathematical performance of elementary school students with Math learning difficulties (MLD). Over 20 years (2003-2023), 34 articles that met the inclusion criteria were included in the analysis. The articles in the study were analyzed in terms of methodological and intervention characteristics. Methodological characteristics were analyzed in two categories: participant characteristics and tests for identifying students. Intervention characteristics were analyzed in six categories: grade level, instructional intervention, implementer, implementation method, intervention duration, and mathematics learning area. It was found that the articles examined generally targeted students with MLD, and standardized achievement tests were used to identify students. The articles reviewed determined that third grade students were studied as participant students and strategy teaching was frequently used as an intervention programme. In the reviewed studies, the instructional interventions applied to students with math learning difficulties were implemented mainly by expert implementers in small-group teaching. It was observed that the number of sessions for instructional interventions ranged from 4 sessions to 96 sessions, with an average intervention duration of 16.91 hours. Finally, it was determined that the instructional interventions in the analyzed studies mainly focused on the learning domain of numbers and operations as the mathematics learning area.

Keywords


Math Learning Difficulties, Dyscalculia, Instructional Intervention, Systematic Review

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References


American Psychiatric Association [APA]. (2013). Diagnostic and statistical manual of mental disorders: DSM-5. American Psychiatric Association.

Aunio, P., Korhonen, J., Ragpot, L., Törmänen, M., & Henning, E. (2021). An early numeracy intervention for first graders at risk for mathematical learning difficulties. Early Childhood Research Quarterly, 55, 252-262. https://doi.org/10.1016/j.ecresq.2020.12.002

Aunio, P., & Mononen, R. (2018). The effects of educational computer game on low-performing children’s early numeracy skills – an intervention study in a preschool setting. European Journal of Special Needs Education, 33(5), 677-691. https://doi.org/10.1080/08856257.2017.1412640

Bryant, D. P., Bryant, B. R., Dougherty, B., Roberts, G., Pfannenstiel, K. H., & Lee, J. (2020). Mathematics performance on integers of students with mathematics difficulties. The Journal of Mathematical Behavior, 58, 100776. https://doi.org/10.1016/j.jmathb.2020.100776

Chodura, S., Kuhn, J. T., & Holling, H. (2015). Interventions for children with mathematical difficulties. Zeitschrift für Psychologie, 223(2), 129-144. https://doi.org/10.1027/2151-2604/a000211

Cooper, H. M., Hedges, L. V., & Valentine, J. C. (Ed.). (2019). Handbook of research synthesis and meta-analysis (3rd ed.). Russell Sage Foundation.

Cortiella, C., & Horowitz, S. H. (2014). The State of Learning Disabilities: Facts, Trends and Emerging Issues (Third Edition, 2014) (s. 52). National Center for Learning Disabilities. https://www.ncld.org/wp-content/uploads/2014/11/2014-State-of-LD.pdf

Coştu, S. (2019). A study to develop a model to diagnose individuals having mathematics learning disabilities (dyscalculia) [Master's thesis]. Institute of Postgraduate Education, Trabzon University, Trabzon.

Dennis, M. S., Sharp, E., Chovanes, J., Thomas, A., Burns, R. M., Custer, B., & Park, J. (2016). A meta-analysis of empirical research on teaching students with mathematics learning difficulties. Learning Disabilities Research & Practice, 31(3), 156-168. https://doi.org/10.1111/ldrp.12107

Dyson, N. I., Jordan, N. C., Rodrigues, J., Barbieri, C., & Rinne, L. (2020). A fraction sense ıntervention for sixth graders with or at risk for mathematics difficulties. Remedial and Special Education, 41(4), 244-254. https://doi.org/10.1177/0741932518807139

Geary, D. C. (2015). Preschool children’s quantitative knowledge and long-term risk for functional innumeracy. İçinde The Routledge International Handbook of Dyscalculia and Mathematical Learning Difficulties. Routledge/Taylor & Francis Group.

Geary, D. C., Hoard, M. K., & Bailey, D. H. (2012). Fact retrieval deficits in low achieving children and children with mathematical learning disability. Journal of Learning Disabilities, 45(4), 291-307. https://doi.org/10.1177/0022219410392046

Hellstrand, H., Korhonen, J., Linnanmäki, K., & Aunio, P. (2019). The number race-computer-assisted intervention for mathematically low-performing first graders. European Journal of Special Needs Education. 35(1), 85-99.https://doi.org/10.1080/13488678.2019.1615792

Jitendra, A. K., Dupuis, D. N., Star, J. R., & Rodriguez, M. C. (2016). The Effects of schema-based ınstruction on the proportional thinking of students with mathematics difficulties with and without reading difficulties. Journal of Learning Disabilities, 49(4), 354-367. https://doi.org/10.1177/0022219414554228

Jitendra, A. K., Harwell, M. R., Dupuis, D. N., & Karl, S. R. (2017). A randomized trial of the effects of schema-based ınstruction on proportional problem-solving for students with mathematics problem-solving difficulties. Journal of Learning Disabilities, 50(3), 322-336. https://doi.org/10.1177/0022219416629646

Kalaç, E. (2016). Learning disabilities and mathematics. In Children with special learning difficulties (2nd ed., pp. 245-280). Vize Publishing.

Karadeniz, M. (2020). Homogeneous and heterogeneous characteristics of individuals with dyscalculia. In Dyscalculia: definition, characteristics, prevalence, causes and diagnosis of mathematics learning disability (1st edition). Pegem Academy.

Kurnaz, A., & Sarı, H. (2020). Students with Learning Disabilities and Education (1st ed.). Pegem Academy.

Lee, J., Bryant, D. P., Ok, M. W., & Shin, M. (2020). A systematic review of ınterventions for algebraic concepts and skills of secondary students with learning disabilities. Learning Disabilities Research & Practice, 35(2), 89-99. https://doi.org/10.1111/ldrp.12217

Lucangeli, D., Fastame, M. C., Pedron, M., Porru, A., Duca, V., Hitchcott, P. K., & Penna, M. P. (2019). Metacognition and errors: The impact of self-regulatory trainings in children with specific learning disabilities. ZDM, 51(4), 577-585. https://doi.org/10.1007/s11858-019-01044-w

Marita, S., & Hord, C. (2017). Review of mathematics ınterventions for secondary students with learning disabilities. Learning Disability Quarterly, 40(1), 29-40. https://doi.org/10.1177/0731948716657495

Miles, M. B., & Huberman, A. M. (1994). An expanded sourcebook: Qualitative data analysis (2nd ed.). Sage Publications.

Moeller, K., Fischer, U., Cress, U., & Nuerk, H. C. (2012). Diagnostics and ıntervention in developmental dyscalculia: current ıssues and novel perspectives. In Içinde Z. Breznitz, O. Rubinsten, V. J. Molfese, & D. L. Molfese (Eds.), Reading, writing, mathematics and the developing brain: Listening to many voices (pp. 233-275). Springer Netherlands. https://doi.org/10.1007/978-94-007-4086-0_14

Monei, T., & Pedro, A. (2017). A systematic review of interventions for children presenting with dyscalculia in primary schools. Educational Psychology in Practice. 33(3), 277-293. https://doi.org/10.1080/02667363.2017.1289076

Nelson, G., Crawford, A., Hunt, J., Park, S., Leckie, E., Duarte, A., Brafford, T., Ramos-Duke, M., & Zarate, K. (2022). A systematic review of research syntheses on students with mathematics learning disabilities and difficulties. Learning Disabilities Research & Practice, 37(1), 18-36. https://doi.org/10.1111/ldrp.12272

National Council of Teachers of Mathematics. (2006). Curriculum focal points for pre-kindergarten through grade 8 mathematics: A quest for coherence.

Nelson, G., & Powell, S. R. (2018). A systematic review of longitudinal studies of mathematics difficulty. Journal of Learning Disabilities, 51(6), 523-539. https://doi.org/10.1177/0022219417714773

Page, M. J., McKenzie, J. E., Bossuyt, P. M., Boutron, I., Hoffmann, T. C., Mulrow, C. D., ... & Moher, D. (2021). The PRISMA 2020 statement: an updated guideline for reporting systematic reviews. International journal of surgery, 88, 105906.

Powell, S. R., Berry, K. A., Acunto, A. N., Fall, A.-M., & Roberts, G. (2021). Applying an ındividual word-problem ıntervention to a small-group setting: A pilot study’s evidence of improved word-problem performance for students experiencing mathematics difficulty. Journal of Learning Disabilities, 55(5), 359–374. https://doi.org/10.1177/00222194211047635

Powell, S. R., Berry, K. A., & Barnes, M. A. (2020). The role of pre-algebraic reasoning within a word-problem intervention for third-grade students with mathematics difficulty. ZDM, 52(1), 151-163. https://doi.org/10.1007/s11858-019-01093-1

Powell, S. R., Doabler, C. T., Akinola, O. A., Therrien, W. J., Maddox, S. A., & Hess, K. E. (2020). A synthesis of elementary mathematics ınterventions: comparisons of students with mathematics difficulty with and without comorbid reading difficulty. Journal of Learning Disabilities, 53(4), 244-276. https://doi.org/10.1177/0022219419881646

Powell, S. R., & Fuchs, L. S. (2015). Intensive intervention in mathematics. Learning Disabilities Research & Practice, 30(4), 182-192.

Powell, S. R., Mason, E. N., Bos, S. E., Hirt, S., Ketterlin-Geller, L. R., & Lembke, E. S. (2021). A systematic review of mathematics ınterventions for middle-school students experiencing mathematics difficulty. Learning Disabilities Research & Practice, 36(4), 295-329. https://doi.org/10.1111/ldrp.12263

Praet, M., & Desoete, A. (2014). Enhancing young children’s arithmetic skills through non-intensive, computerised kindergarten interventions: A randomised controlled study. Teaching and Teacher Education, 39, 56-65. https://doi.org/10.1016/j.tate.2013.12.003

Shin, M., & Bryant, D. P. (2015). Fraction ınterventions for students struggling to learn mathematics: a research synthesis. Remedial and Special Education, 36(6), 374-387. https://doi.org/10.1177/0741932515572910

Stevens, E. A., Rodgers, M. A., & Powell, S. R. (2018). Mathematics ınterventions for upper elementary and secondary students: A meta-analysis of research. Remedial and Special Education, 39(6), 327-340. https://doi.org/10.1177/0741932517731887

Swanson, H. L., Lussier, C. M., & Orosco, M. J. (2013). Cognitive strategies, working memory, and growth in word problem solving in children with math difficulties. Journal of Learning Disabilities, 48(4), 339-358. https://doi.org/10.1177/0022219413498771

Swanson, H. L., & Hoskyn, M. (1998). Experimental intervention research on students with learning disabilities: A meta-analysis of treatment outcomes. Review of Educational Research, 68(3), 277-321. Scopus. https://doi.org/10.3102/00346543068003277

Talbott, E., Maggin, D. M., Van Acker, E. Y., & Kumm, S. (2018). Quality ındicators for reviews of research in special education. Exceptionality, 26(4), 245-265. https://doi.org/10.1080/09362835.2017.1283625

Wu, T., Shen, H., Sheng, Y., Zhao, F., Guo, N., Liao, L., Li, L., Li, Y., & Dong, X. (2020). Use of cognitive correction training improves learning for children with mathematics learning disability. Applied Neuropsychology: Child, 9(2), 172-178. https://doi.org/10.1080/21622965.2018.1552866

Zheng, X., Flynn, L. J., & Swanson, H. L. (2013). Experimental ıntervention studies on word problem solving and math disabilities: a selective analysis of the literature. Learning Disability Quarterly, 36(2), 97-111. https://doi.org/10.1177/0731948712444277

*Clarke, B., Doabler, C. T., Smolkowski, K., Baker, S. K., Fien, H., & Cary, M. S. (2014). Examining the efficacy of a tier 2 kindergarten mathematics intervention. Journal of Learning Disabilities, 49, 152-165. https://doi.org/10.1177/0022219414538514

*Dennis, M. S., Bryant, B. R., & Drogan, R. (2015). The impact of tier 2 mathematics instruction on second graders with mathematics difficulties. Exceptionality, 23, 124-145. https://doi.org/10.1080/09362835.2014.986613

*Flores, M. M. (2009). Teaching subtraction with regrouping to students experiencing difficulty in mathematics. Preventing School Failure: Alternative Education for Children and Youth, 53(3), 145-152. https://doi.org/10.3200/PSFL.53.3.145-152

*Hellstrand, H., Korhonen, J., Linnanmäki, K., & Aunio, P. (2019). The Number Race – computer-assisted intervention for mathematically low-performing first graders. European Journal of Special Needs Education, 35(1), 85-99. https://doi.org/10.1080/13488678.2019.1615792

*Hotulainen, R., Mononen, R., & Aunio, P. (2016). Thinking skills intervention for low-achieving first graders. European Journal of Special Needs Education, 31(3), 360-375. https://doi.org/10.1080/08856257.2016.1141541

*Miller, S. P., & Kaffar, B. J. (2011). Developing addition with regrouping competence among second grade students with mathematics difficulties. Investigations in Mathematics Learning, 4(1), 24-49. https://doi.org/10.1080/24727466.2011.11790308

*Mononen, R., & Aunio, P. (2014). A Mathematics intervention for low-performing Finnish second graders: Findings from a pilot study. European Journal of Special Needs Education, 29(4), 457-473. https://doi.org/10.1080/08856257.2014.922794

*Wu, T., Shen, H., Sheng, Y., Zhao, F., Guo, N., Liao, L., Li, L., Li, Y., & Dong, X. (2020). Use of cognitive correction training improves learning for children with mathematics learning disability. Applied Neuropsychology: Child, 9(2), 172-178. https://doi.org/10.1080/21622965.2018.1552866

*Aunio, P., Korhonen, J., Ragpot, L., Törmänen, M., & Henning, E. (2021). An early numeracy intervention for first-graders at risk for mathematical learning difficulties. Early Childhood Research Quarterly, 55, 252-262. https://doi.org/10.1016/j.ecresq.2020.12.002

*Ennis, R. P., & Losinski, M. (2019). SRSD fractions: Helping students at risk for disabilities add/subtract fractions with unlike denominators: Journal of Learning Disabilities. https://doi.org/10.1177/0022219419859509

*Lucangeli, D., Fastame, M. C., Pedron, M., Porru, A., Duca, V., Hitchcott, P. K., & Penna, M. P. (2019). Metacognition and errors: The impact of self-regulatory trainings in children with specific learning disabilities. ZDM, 51(4), 577-585. https://doi.org/10.1007/s11858-019-01044-w

*Wang, A. Y., Fuchs, L. S., Fuchs, D., Gilbert, J. K., Krowka, S., & Abramson, R. (2019). Embedding self-regulation instruction within fractions intervention for third graders with mathematics difficulties. Journal of Learning Disabilities, 52(4), 337-348. https://doi.org/10.1177/0022219419851750

*Areces, D., Cueli, M., García, T., Rodríguez, C., & González-Castro, P. (2017). Intervention in learning difficulties in mathematics: Influence of the severity. Revista Latinoamericana de Investigación En Matemática Educativa, 20(3), 293-315. https://doi.org/10.12802/relime.17.2032

*Bryant, B. R., Bryant, D. P., Porterfield, J., Dennis, M. S., Falcomata, T., Valentine, C., Brewer, C., & Bell, K. (2014). The Effects of a Tier 3 Intervention on the mathematics performance of second grade students with severe mathematics difficulties. Journal of Learning Disabilities, 49(2), 176-188. https://doi.org/10.1177/0022219414538516

*Butterworth, B., & Laurillard, D. (2010). Low numeracy and dyscalculia: Identification and intervention. ZDM, 42(6), 527-539. https://doi.org/10.1007/s11858-010-0267-4

*De Nigris, A., Masciarelli, G., & Guariglia, C. (2020). Efficacy of neuropsychological rehabilitation on numerical and calculation abilities: A developmental case study. Applied Neuropsychology: Child, 9(3), 271-281. https://doi.org/10.1080/21622965.2018.1553044

*Käser, T., Busetto, A. G., Solenthaler, B., Baschera, G.-M., Kohn, J., Kucian, K., von Aster, M., & Gross, M. (2013). Modelling and optimizing mathematics learning in children. International Journal of Artificial Intelligence in Education, 23(1), 115-135. https://doi.org/10.1007/s40593-013-0003-7

*Kaufmann, L., Handl, P., & Thöny, B. (2003). Evaluation of a numeracy intervention program focusing on basic numerical knowledge and conceptual knowledge: A pilot study. Journal of Learning Disabilities, 36(6), 564-573. https://doi.org/10.1177/00222194030360060701

*Lambert, K., & Spinath, B. (2014). Do we need a special intervention program for children with mathematical learning disabilities or is private tutoring sufficient. Journal for Educational Research Online, 6(1), 68-93. https://doi.org/10.25656/01:8841

Lin, X., & Powell, S. R. (2021). Examining the relation between whole numbers and fractions: A meta-analytic structural equation modeling approach. Contemporary Educational Psychology, 67, 102017. https://doi.org/10.1016/j.cedpsych.2021.102017

*Mohd Syah, N. E., Hamzaid, N. A., Murphy, B. P., & Lim, E. (2015). Development of computer play pedagogy intervention for children with low conceptual understanding in basic mathematics operation using the dyscalculia feature approach. Interactive Learning Environments, 24(7), 1477-1496. https://doi.org/10.1080/10494820.2015.1023205

*Nelson, P. M., Burns, M. K., Kanive, R., & Ysseldyke, J. E. (2013). Comparison of a math fact rehearsal and a mnemonic strategy approach for improving math fact fluency. Journal of School Psychology, 51(6), 659-667. https://doi.org/10.1016/j.jsp.2013.08.003

O’Shea, A., Booth, J. L., Barbieri, C., McGinn, K. M., Young, L. K., & Oyer, M. H. (2017). Algebra performance and motivation differences for students with learning disabilities and students of varying achievement levels. Contemporary Educational Psychology, 50, 80-96. https://doi.org/10.1016/j.cedpsych.2016.03.003

*Rodriguez, I. A., Nascimento, J. M. do, Voigt, M. F., & Santos, F. H. D. (2019). Numeracy musical training for school children with low achievement in mathematics. Anales de Psicología / Annals of Psychology, 35(3), 405-416. https://doi.org/10.6018/analesps.35.3.340091

*Swanson, H. L., Lussier, C. M., & Orosco, M. J. (2013). Cognitive strategies, working memory, and growth in word problem solving in children with math difficulties. Journal of Learning Disabilities, 48(4), 339-358. https://doi.org/10.1177/0022219413498771

*Zhang, Y., & Zhou, X. (2014). Building knowledge structures by testing helps children with mathematical learning difficulty. Journal of Learning Disabilities, 49(2), 166-175. https://doi.org/10.1177/0022219414538515

*González-Castro, P., Cueli, M., Areces, D., Rodríguez, C., & Sideridis, G. (2016). Improvement of word problem solving and basic mathematics competencies in students with attention deficit/hyperactivity disorder and mathematical learning difficulties. Learning Disabilities Research & Practice, 31(3), 142-155. https://doi.org/10.1111/ldrp.12106

*Koponen, T. K., Sorvo, R., Dowker, A., Räikkönen, E., Viholainen, H., Aro, M., & Aro, T. (2018). Does multi-component strategy training improve calculation fluency among poor performing elementary school children? Frontiers in Psychology, 9, 1187. https://doi.org/10.3389/fpsyg.2018.01187

*Nazari, S., Hakiminejad, F., & Hassanzadeh, S. (2022). Effectiveness of a process-based executive function intervention on arithmetic knowledge of children with Developmental Dyscalculia. Research in Developmental Disabilities, 127. https://doi.org/10.1016/j.ridd.2022.104260

*Powell, S. R., Berry, K. A., Acunto, A. N., Fall, A.-M., & Roberts, G. (2021). Applying an individual word-problem intervention to a small-group setting: a pilot study’s evidence of improved word-problem performance for students experiencing mathematics difficulty. Journal of Learning Disabilities, 55(5), 359-374. https://doi.org/10.1177/00222194211047635

*Powell, S. R., Berry, K. A., & Benz, S. A. (2020a). Analyzing the word-problem performance and strategies of students experiencing mathematics difficulty. The Journal of Mathematical Behavior, 58. https://doi.org/10.1016/j.jmathb.2020.100759

*Powell, S. R., Berry, K. A., & Barnes, M. A. (2020b). The role of pre-algebraic reasoning within a word-problem intervention for third-grade students with mathematics difficulty. ZDM, 52(1), 151-163. https://doi.org/10.1007/s11858-019-01093-1

*Powell, S. R., & Driver, M. K. (2015). The Influence of mathematics vocabulary instruction embedded within addition tutoring for first-grade students with mathematics difficulty. Learning Disability Quarterly, 38(4), 221-233. https://doi.org/10.1177/0731948714564574

*Schumacher, R. F., Jayanthi, M., Gersten, R., Dimino, J., Spallone, S., & Haymond, K. S. (2018). Using the number line to promote understanding of fractions for struggling fifth graders: a formative pilot study. Learning Disabilities Research & Practice, 33(4), 192-206. https://doi.org/10.1111/ldrp.12169

*Westenskow, A., & Moyer-Packenham, P. S. (2016). Using an iceberg intervention model to understand equivalent fraction learning when students with mathematical learning difficulties use different manipulatives. International Journal of Technology in Mathematics Education, 23(2), 45-62.

*Ziadat, A. H. (2022). Sketchnote and working memory to improve mathematical word problem solving among children with dyscalculia. International Journal of Instruction, 15(1), 509-526. https://doi.org/10.29333/iji.2022.15129a

Note: (*) Used to show the studies included in the analysis.




DOI: https://doi.org/10.7575/aiac.ijels.v.11n.4p.281

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