خودکارسازی حقایق اساسی ضرب در کودکانِ با ناتوانی یادگیری ریاضی: یکپارچه‌سازی یادگیری مفهومی‌ و یادگیری مبتنی بر حافظه

 

Afroditi, T., & Ioannis, A. (2016). “Comparing the Effectiveness of Four Interventions for the Support of Students with Learning Disabilities in Acquiring Arithmetic Combinations of Multiplication and Division.” American Journal of Educational Research, vol. 4, no. 4: 294-301. doi: 10.12691/education-4-4.

Agaliotis, I., (2011). Instruction of Mathematics in Special Education: Nature and Educational management of mathematical difficulties. Athens: Gregori (in Greek).

American Psychiatric Association. (2013). Diagnostic and statistical manual of mental disorders (5th ed.). Arlington, VA: Author.

Archer, A. L., & Hughes, C. A. (2010). Explicit instruction: Effective and efficient teaching. New York, NY: Guilford.

Ardoin, S. P., & Daly, E. J. (2007). Introduction to the Special Series: Close encounters of the instructional kind: How the instructional hierarchy is shaping instructional research 30 years later. Journal of Behavioral Education, 16, 1-6. DOI 10.1007/s10864-006-9027-5.

Aud, S., Hussar, W., Kena, G., Bianco, K., Frohlich, L., Kemp, J., & Tahan, K. (2011). The condition of education 2011 (NCES 2011-033). Washington, DC: National Center for Education Statistics.

Axtell, P. K., McCallum, R. S., Bell, S. M., & Poncy, B. C. (2009). Developing math automaticity using a class-wide fluency building procedure for middle-school students. Psychology in the School, 46, 526–538.

Baker, S., Santoro, L., Chard, D., Fien, H., Park, Y., & Otterstedt, J. (2013). An evaluation of an explicit read aloud intervention in whole-classroom formats in first grade. The Elementary School Journal, 113(3), 331-358.

Baroody, A. (2006). Why children have difficulties mastering the basic number combinations and how to help them. Teaching Children Mathematics, 13(1), 22-31.

Baroody, A. J., Bajwa, N. P., & Eiland, M. (2009). Why can't Johnny remember the basic facts? Developmental Disabilities Research Reviews, 15, 69-79. doi: 10.1002/-ddrr.45.

Barrouillet, P., Fayol, M., & Lathulie`re, E. (1997). Selecting between competitors in multiplication tasks: An explanation of the errors produced by adolescents with learning disabilities. International Journal of Behavioral Development, 21, 253–275.

Bay-Williams, J. M., & Kling, G. (2014). Assessing basic fact fluency. Teaching Children Mathematics, 28(8), 488-497.

Biancarosa, G., & Shanley, L. (2016). What Is Fluency? In the Fluency Construct (pp. 84 1-18). Springer New York.

Binder, C. (2003). Doesn't everybody need fluency? Performance Improvement, 42, 14-20.

Boaler, J. (2015). Fluency without fear: Research evidence on the best ways to learn math facts. You cubed at Stanford University, 1-28. Retrieved from https://www.youcubed.org-/fluencywithout-fear/.

Bulté, I., & Onghena, P. (2013). The single-case data analysis package: Analysing single-case experiments with R software. Journal of Modern Applied Statistical Methods, 12(2), 450-478.

Burns, M. K., Kanive, R., & DeGrande, M. (2012). Effect of a computer-delivered math fact intervention as a supplemental intervention for math in third and fourth grades. Remedial and Special Education, 33, 184–191. https://doi.org/10.1177/0741932510381652.

Burns, M. K., Ysseldyke, J., Nelson, P. M., & Kanive, R. (2015). Number of repetitions required to retain single-digit multiplication math facts for elementary students. School Psychology Quarterly, 30, 398–405. https://doi.-org/10.1037/spq0000097.

Chen, L., Peng, Ch., & Chen. M. (2015). Computing tools for implementing standards for single case designs. Behavior Modification, 39(6), 835-869.

Cholmsky, P. (2011). From acquisition to automaticity: The Reflex solution for math fact mastery. Retrieved from reflexmath. com/assets/doc/Reflex_White_Paper.pdf.

Clarke, B., Nelson, N., & Shanley, L. (2016). Mathematics Fluency—More than the Weekly Timed Test. In the Fluency Construct (pp. 67-89). Springer New York.

Codding, R. S., Burns, M. K., & Lukito, G. (2011). Meta-analysis of mathematics basic-fact fluency interventions. Learning Disabilities Research & Practice, 26(1), 36-47.

Cohen, J. (1988). Statistical power analysis for the behavioral sciences (2nd Ed.). Hillsdale, NJ: Erlbaum.

Cooper, J., Heron, T., & Heward, W. (2007). Applied behavior analysis (2nd ed.). Upper Saddle River, NJ: Prentice Hall.

Cowan, R., and Powell, D., (2013). The Contributions of DomainGeneral and Numerical Factors to Third-Grade Arithmetic Skills and Mathematical Learning Disability. Journal of Educational Psychology, 1-16.

Cumming, J.J. & Elkins, J. (1999). Lack of automaticity in the basic addition facts as a characteristic of arithmetic learning problems and instructional needs. Mathematical Cognition, 5(2),149-180. doi:10.1080/-135467999387289.

Davis, B. G. (2013). Research-based spelling: Sitton spelling and word study. Online article accessed 25 February 2013 at: http://eps.-schoolspecialty.com/ downloads /research _papers /series/SSWS_research.pd.

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

Doadler, C. T., & Fien, H. (2013). Explicit Mathematics Instruction. What Teachers Can Do for Teaching Students with Mathematics Difficulties. Intervention in School and Clinic, 48(5), 276-285.

Fawcett, A. J., & Nicolson, R. I. (1994). Naming speed in children with dyslexia. Journal of Learning Disabilities, 27, 641–646.

Fletcher, J. M., Lyon, G. R., Fuchs, L. S., & Barnes, M. A. (2007). Learning disabilities: From identification to intervention. New York, NY: The Guillford Press.

Flores, M., Hinton, V., & Strozier, S. (2014). Teaching Subtraction and Multiplication with Regrouping Using the Concrete-Representational- Abstract Sequence and Strategic Instruction Model. Learning Disabilities Research & Practice, 19(2), 75-88.

Fuchs L., Fuchs D., Powell S., Seethaler P., Cirino P. & Fletcher J. (2008). Intensive intervention for students with mathematics disabilities: Seven principles of effective practice. Learning Disabilities Quarterly, 31(2): 79–92.

Galen, M. S., & Reitsma, P. (2010). Learning basic addition facts from choosing between alternative answers. Learning and Instruction, 20, 47-60.

Garnett, K., & Fleischner, J. E. (1983). Automatization and basic fact performance of normal and learning-disabled children. Learning Disabilities Quarterly, 6, 223–230.

Gast, D. L., & Ledford, J. R. (2014). Single case research methodology: Applications in special education and behavioral sciences (2nd ed.). New York, NY: Routledge.

Gathercole, S. E., & Adams, A.-M. (1994). Children’s phonological working memory: Contributions of long-term knowledge and rehearsal. Journal of Memory and Language, 33, 672–688.

Geary, D. (2004). Mathematics and learning disabilities. Journal of Learning Disabilities, 37, 4- 15. doi: 10.1177/00222194040-370010201.

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

Geary, D. C. (2013). Early foundations for mathematics learning and their relations to learning disabilities. Current directions in psychological science, 22, 23-27.

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, 398–406.

Geary, D. C., & Widaman, K. F. (1992). Numerical cognition: On the convergence of componential and psychometric models. Intelligence, 16, 47–80.

Geary, D. C., Hamson, C. O., & Hoard, M. K. (2000). umerical and arithmetical cognition: A longitudinal study of process and concept deficits in children with learning disability. Journal of Experimental ChildPsychology, 77, 236–263.

Geary, D. C., Hoard, M. K., & Bailey, D. H. (2012). Fact retrieval deficits in low achieving children and children with mathematical learning disabilities. Journal of Learning Disabilities, 45, 291-307. doi: 10.1177/-0022219-410392046.

Geary, D. C., Widaman, K. F., Little, T. D., & Cormier, P. (1987). Cognitive addition: Comparison of learning disabled and academically normal elementary school children. Cognitive Development, 2, 249–269.

Gersten, R., Beckmann, S., Clarke, B., Foegen, A., March, L., Star, J. R., & Witzel, B. (2009). Assisting students struggling with mathematics: Response to Intervention (RtI) for elementary and middle schools (Practice Guide Report No. NCEE 2009-4060). Washington, DC: National Center for Education Evaluation and Regional Assistance, Institute of Education Sciences, U.S. Department of Education.

Gersten, R., Chard, D. J., Jayanthi, M., Baker, S. K., Morphy, P., & Flojo, J. (2009). Mathematics instruction for students with learning disabilities: A meta-analysis of instructional components. Review of Educational Research, 79, 1202–1242.

Gersten, R., Jordan, N. C., & Flojo, J. R. (2005). Early identification and interventions for students with mathematics disabilities, Journal of Learning Disabilities, 38, 293–304.

Gersten, R., Beckmann, S., Clarke, B., Foegen, A., Marsh, L., Star, J. R., & Witzel, B. (2009). Assisting students struggling with mathematics: Response to intervention (RtI) for elementary and middle schools (NCEE 2009-4060). National Center for Education Evaluation and Regional Assistance, Institute of Education Sciences, U.S. Department of Education. http://ies.ed.gov/ncee/wwc/ publications/-practiceguides

Gojak, L. M. (2012). Fluency: Simply fast and accurate? I think not! National Council of Teachers of Mathematics. Retrieved from http://www.nctm.org/News-and-Calendar/ Messages-from-the-President/Archive/ Linda-M_-Gojak/Fluency_-Simply-Fast-and Accurate_-I-Think-Not! /

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, 2 2 3 - 2 6 5.

Griffin S., (2004). Teaching Number Sense. Improving Achievement in Math and Science, 61(5), 39-42.

Hanich, L., Jordan, N. C., Kaplan, D., & Dick, J. (2001). Performance across different areas of mathematical cognition in children with learning difficulties. Journal of Educational Psychology, 93(3), 615- 626.

Haring, N. G., & Eaton, M. D. (1978). Systematic instructional procedures: An instructional hierarchy. In N. G. Haring, T. C. Lovitt, M. D. Eaton, & C. L. Hansen (Eds.), The fourth R: Research in the classroom (pp. 23–40). Columbus OH: Merrill.

Hasselbring, T. S., & Goin, L. I. (1988). Use of Computers. Chapter Ten.

Hasselbring, T., Lott, A., & Zydney, J. (2005). T e c h n o l o g y - supported math instruction for students with disabilities: Two decades of research and development. Retrieved December 12, 2005, from http://www.citedu-cation.org/ mathmatrix/default.asp.

Hawkins, R. O., Collins, T., Hernan, C., & Flowers, E. (2017). Using computer-assisted instruction to build math fact fluency: An implementation guide. Intervention in School and Clinic, 52, 141–147. https://doi.-org/10.1177/1053451216644827.

Hedges, L. V., Pustejovsky, J. E., & Shadish, W. R. (2012). A standardized mean difference effect size for single case designs. Research Synthesis Methods, 3, 224-239. Hedges, L. V., Pustejovsky, J. E., & Shadish, W. R. (2013). A standardized mean difference effect size for multiple baseline designs across individuals. Research Synthesis Methods, 4, 324-341.

Hoard, M., Geary, D., & Hamson, C. (1999). Numerical and arithmetical cognition: Performance of low- and average-IQ children. Mathematical Cognition, 5, 65 – 91.

Hudson, S., Kaden, S., Lavin, K., & Vasquez, T. (2010). Improving basic math skills using technology. Online Submission (ED512698). Retrieved from http://www.eric.ed.gov/-contentdelivery/servlet/ERICServlet?-accno-=ED512698.

Isaacs, A., & Carroll, W. (1999). Strategies for basic fact instruction. Teaching Children Mathematics, 5(9), 508-515.

Jones R.S.P., & Eayrs C.B., (1992). The Use of Errorless Learning Procedures in Teaching People with a Learning Disability. A Critical Review. Mental Handicap Research, 5(2), 204-212.

Jordan, N. C., & Montani, T. O. (1997). Cognitive arithmetic and problem solving: A comparison of children with specific and general mathematics difficulties. Journal of Learning Disabilities, 30, 624–634.

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

Kameenui, E. J., & Simmons, D. C. (1990). Designing instructional strategies: The prevention of academic learning problems. Columbus OH: Charles E. Merrill.

Keller-Margulis, M. A., Shapiro, E. S., & Hintz, J. M. (2008). Long-term diagnostic accuracy of curriculum-based measures in reading and mathematics. School Psychology Review, 37, 374-390.

Ketterlin-Geller, L.R., Chard D.J., & Fien, H., (2008). Making Connections in Mathematics. Conceptual Mathematics Intervention for Low-Performing Students. Remedial and Special Education, 29(1), 33-45.

Kinder,d., Kubina, R., & Marchand-Martella, N., Special Education and Direct Instruction: An Effective Combination. Retrieved March 28, 2016 from http://www.nifdi.-org/docman/-journal-of-direct-instruction-jodi/-volume-5-winter 2005/469-special-education-and-direct-instruction-an-effectiv-e-combination/file.

Kling, G., & Bay-Williams, J. M. (2015). Three steps to mastering multiplication facts. Teaching Children Mathematics, 21(9), 548-559

Kratochwill, T. R., Hitchcock, J., Horner, R. H., Levin, J. R., Odom, S. L., Rindskopf, D. M., & Shadish, W. R. (2010). Single-case designs technical documentation. What Works Clearinghouse.

Ledford, J. R., Barton, E. E., Severini, K. E. & Zimmerman, K. N. (2019). A Primer on Single-Case Research Designs: Contemporary Use and Analysis. American Journal on Intellectual and Developmental Disabilities, Vol. 124, No. 1, 35–56.

LeFevre, J., DeStefano, D., Coleman, B., & Shanahan, T. (2005). Mathematical cognition and working memory. In J. I. D. Campbell (Ed.), Handbook of mathematical cognition. (pp. 361-377) Psychology Press, New York, NY.

Lin, F., & Kubina, R. J. (2005). A preliminary investigation of the relationship between fluency and applicationfor multiplication. Journal of Behavioral Education, 14(2), 73-87.

Lobo, M. A., Moeyaert, M., Baraldi Cunha, A., & Babik, I. (2017) Single-case design, analysis, and quality assessment for intervention research. Journal of Neurologic Physical Therapy: JNPT, 41(3), 187-197.

Ma, L. (1999). Knowing and teaching elementary mathematics: Teachers’ understanding of fundamental mathematics in China and the United States. Mahwah, NJ: Lawrence Erlbaum Associates.

Manolov, R. (2017). Reporting single-case design studies: Advice in relation to the designs’ methodological and analytical peculiarities. Anuario de Psicoligia, 47(1), 45-55.

Manolov, R., Sierra, V., Solanas, A., & Botella, J. (2014). Assessing functional relations in singlecase designs: quantitative proposals in the context of the evidence-based movement. Behavior Modification, 38(6) 878-913.

Margaret, M. F. (2014). Effects of Two Methods of Teaching Multiplication to Students with Learning Disabilities. Disertasi Dr. Fal, University of Georgia State, Georgia.

Mauro, D., LeFevre, J., & Morris, J. (2003). Effects of problem format on division and multiplication performance: Division facts are mediated via multiplication-based representations. Journal of Experimental Psychology: Learning, Memory, and Cognition, 29(2), 163-170.

Melby-Lervag, M. & Hulme, C. (2012). Is working memory training effective? A meta-analytic review. Developmental Psychology, 49(2), 270-291.

Miller, S.P. and Hudson, P.J., (2007). Using Evidence-Based Practices to Build Mathematics Competence Related to Conceptual, Procedural, and Declarative Knowledge. Learning Disabilities Practice, 22(1), 47-57.

Mong, M. D., & Mong, K.W. (2010). Efficacy of two mathematics interventions for enhancing fluency with elementary students. Journal of Behavioral Education, 19, 273-288.

Montague, M.M., (2007). Self-Regulation and Mathematics Instruction. Learning Disabilities Research & Practice, 22(1), 75- 83

Musti-Rao, S. & Plati, E. (2015). Comparing two classwide interventions: Implications of using technology for increasing multiplication fact fluency. Journal of Behavioral Education, 24(4), 418-437.

National Research Council [NRC]. (2001). Adding it up: Helping children learn mathematics. In 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.

National Council of Teachers of Mathematics [NCTM]. (2017). Procedural Fluency in Mathematics. Retrieved from http:// www.nctm-.org/Standards-and-Positions/ Position Statements/Procedural-Fluency-in Mathematics/

National Governors Association Center for Best Practices, & Council of Chief State School Officers. (2015). Common Core State Standards for mathematics. Washington DC: Author

National Mathematics Advisory Panel. (2008). Foundations for success: The final report of the national mathematics advisory panel. Washington, DC: U.S. Department of Education. Retrieved from http://www2.ed.gov/-about/bdscomm/list/mathpanel/report/final- report.pdf

Nelson, P. M., Parker, D. C., & Zaslofsky, A. F. (2016). The relative value of growth in math fact skills across late elementary and middle school. Assessment for Effective Intervention, 41, 184–192. https://doi.org/10.1177/-1534508416634613.

Nelson, P., Burns, M., Kanive, R., & Ysseldyke, J. (2013). Comparison of a mathematics fact rehearsal and a mnemonic strategy approach for improving mathematics fact fluency. Journal of School Psychology, 51(6), 659-667.

O’Connell, S., & SanGiovanni, J., (2013). Putting the practices into actions: Implementing the common core state standards for mathematical practice k-6. Portsmouth, NH: Heinemann.

O'Connell, S., & San Giovanni, J. (2011). Mastering the basic math facts in addition and subtraction. Portsmouth, NH: Heinemann.

Ostad, S. A. (1997). Developmental differences in addition strategies: A comparison of mathematically disabled and mathematically normal children. British Journal of Educational Psychology, 67, 345–357.

Parker, R. I., & Vannest, K. (2009). An improved effect size for single-case research: Nonoverlap of all pairs. Behavior Therapy, 40(4), 357-367.

Parker, R. I., Vannest, K. J., Davis, J. L., & Sauber, S. B. (2011). Combining nonoverlap and trend for single-case research: Tau-U. Behavior Therapy, 42(2), 284-299.

Parker, R. I., Hagan-Burke, S., & Vannest, K. J. (2007). Percentage of all non-overlapping data (PAND): An alternative to PND. The Journal of Special Education, 40(4), 194–204. doi: 10.1177/00224669070400040101.

Parkhurst, J., Skinner, C. H., Yaw, J., Poncy, B., Adcock, W., & Luna, E. (2010). Efficient Class-Wide Remediation: Using Technology to Identify Idiosyncratic Math Facts for Additional Automaticity Drills. International Journal of Behavioral Consultation and Therapy, 6(2), 111-123.

Pellegrino, J.W. & Goldman, S.R. (1987). Information Processing and Elementary Mathematics. Journal of Learning Disabilities, 20(1), 23-32.

Poncy, B.C., Fontenelle, S.F. & Skinner, C.H. (2013). Using detect, practice, and repair (DPR) to differentiate and individualize math fact instruction in a class wide setting. Journal of Behavioral Education, 22(3), 211 228. doi: http://dx.doi.org/10.1007/s10864 013 9171 7.

Poncy, B.C., McCallum, E. & Schmit, A. (2010a). Cover, copy, and compare versus facts that last: Evaluating and comparing a behavioral and a constructivist intervention targeting computational fluency. Psychology in the Schools, 47, 917–930.

Poncy, B.C., McCallum, E. & Schmitt, A.J. (2010). A comparison of behavioral and constructivist interventions for increasing mathematics-fact fluency in a secondgrade classroom. Psychology In the Schools,47(9),917-930.

Poncy, B.C., Skinner, C.H. & Axtell, P.K. (2010b). An investigation of detect, practice, and repair (DPR) to remedy math fact deficits in third-grade students. Psychology in the Schools, 47, 342–353.

Poncy, B.C., Skinner, C.H. & Jaspers, K.E. (2006). Evaluating and comparing interventions designed to enhance math fact accuracy and fluency: Cover, copy, and compare versus taped problems. Journal of Behavioral Education, 16(1), 2737. doi:10.1007/s10864-006-9025-7

Poncy, B.C., Skinner, C.H. & Jaspers, K.E. (2007). Evaluating and comparing interventions designed to enhance math fact accuracy and fluency: Cover, copy, and compare versus taped problems. Journal of Behavioral Education, 16, 27–37

Price, G. R, Mazzocco, M. M. M., & Ansari, D. (2013). Why mental arithmetic counts: Brain activation during single digit arithmetic predicts high school math scores. The Journal of Neuroscience, 33, 156-163. doi: 10.1523/-JNEUROSCI.2936-12.2013

Raghubar, K. P., Barnes, M., & Hecht, S. A. (2010). Working memory and mathematics: A review of developmental, individual difference, and cognitive approaches. Learning and Individual Differences

Rathmell, E. (1978). Using thinking strategies to teach the basic facts. In M. Suydam & R. Reys (Eds.), Developing computational skills: 1978 yearbook of the National Council of Teachers of Mathematics (pp. 13-38). Reston, VA: NCTM.

Riccomini, P. J., Stoker, J. D., & Morano, S. (2017). Implementing an effective mathematics fact fluency practice activity. Teaching Exceptional Children, 49, 318–327.

Rittle-Johnson, B., Siegler, R. S., & Alibali, M. W. (2001). Developing conceptual understanding and procedural skill in mathematics: An iterative process. Journal of Educational Psychology, 93, 346-362. doi: /10.1037//0022-0663.93.2.346

Rosenshine, B. (2008). Five meanings of direct instruction. Center on Innovation & Improvement. Retrieved from http://www.centerii.-org/search/Resources%5CFiveDirectInstruct.pdf April 15^th, 2014.

Rupley, W.H., (2009). Introduction to direct/explicit instruction in reading for the struggling reader: Phonemic awareness, phonics, fluency, vocabulary, and comprehension. Reading & Writing Quarterly, 25, 119-124.

Shapiro, E. S., Keller, M. A., Lutz, J. G., Santoro, L. E., & Hintz, J. M. (2006). Curriculum based measures and performance on state assessment and standardized tests. Journal of Psychoeducational Assessment, 24, 19-35. doi: 10.1177/0734282905285237.

Shin, M., & Bryant, D. P. (2015). A synthesis of mathematical and cognitive performances of students with mathematics learning disabilities. Journal of Learning Disabilities, 48, 96- 112. doi: 10.1177/0022219413508324.

Smith, C. R., Marchand  Martella, N., & Martella, R. C. (2011). Assessing the effects of the rocket math program with a primary elementary school student at risk for school failure: A case study. Education & Treatment of Children, 34(2), 247 258. Retrieved from http://pearl.-stkate.edu/login?url=http://search.proquest.com.pearl.stkate.edu/docview/868 177144?-accountid=26879.

Stickney, E. M., Sharp, L. B., & Kenyon, A. S. (2012). Technology-enhanced assessment of math fact automaticity: Patterns of performance for low- and typically achieving students. Assessment for Effective Intervention, 37(2), 84-94. doi:10.1177/1534508411430321.

Tate, R. L., Perdices, M., Rosenkoetter, U., Wakim, D., Godbee, K., Togher, L., & McDonald, S. (2013). Revision of a method quality rating scale for singlecase experimental designs and n of-1 trials: The 15- item Risk of Bias in N-of-1 Trials (RoBiNT) Scale. Neuropsychological Rehabilitation, 23(5), 619-638.

Thornton, C. A. (1978). Emphasizing thinking strategies in basic fact instruction. Journal for Research in Mathematics Education, 9(3), 214-227. doi: 10.2307/748999.

Van de Walle, J., Karp, K. S., & Bay-Williams, J. M. (2013). Elementary and Middle School Mathematics: Teaching Developmentally (8th ed.). Boston, MA: Pearson.

Van Luit J.H. and Schopman E.A.M., (2000). Improving Early Numeracy of Young Children with Special Educational Needs, Remedial and Special Education, 21(1), 27-40.

VanDerHayden, A. M., & Burns, M. K. (2008). Examination of the utility of various measures of mathematics proficiency. Assessment for Intervention, 33, 215-224.

Vaughn, S., Linan-Thompson, S., & Hickman, P., (2003). Instruction as a Means of Identifying Students with Reading/ Learning Disabilities. Exceptional Children, 69(4), 391-409.

Verschaffel, L., Luwel, K., Torbeyns, J., & Van Dooren, W. (2009). Conceptualizing, investigating, and enhancing adaptive expertise in elementary mathematics education. European Journal of Psychologyof Education, 24, 335-359. Retrieved from jstor.org/-stable/23421697.

Whitehurst, G. J. (2003). Research on mathematics education. Washington, DC: US Department of Education. Retrieved from ed.gov/-rschstat/research/progs/mathscience/whitehurst.html.

Woodward, J. (2006). Developing automaticity in multiplication facts: Integrating strategy instruction with timed practice drills. Learning Disability Quarterly, 29(4), 269-289.