Combined fluency and cognitive strategies instruction improves mathematics achievement in early elementary school

Contemporary Educational Psychology

Volumn 36, Issue 4, 2011, Pages 323-333

  Carr, Martha ^a   Taasoobshirazi, Gita ^b   Stroud, Rena ^c   Royer, James M ^c  

^a UNIVERSITY OF GEORGIA   (United States)

^b UNIVERSITY OF NEVADA   (United States)

^c UNIVERSITY OF MASSACHUSETTS   (United States)

Author keywords

Cognitive strategy; Elementary school; Experiment; Fluency; Mathematics

Indexed keywords

EID: 80052504937     PISSN: 0361476X     EISSN: 10902384     Source Type: Journal    
DOI: 10.1016/j.cedpsych.2011.04.002     Document Type: Article

References (51)

1. Ashcraft M.H., Donley R.D., Halas M.A., Vakali M. Working memory, automaticity, and problem difficulty. The nature and origins of mathematical skills 1992, 301-329. North-Holland, Oxford, England. J.I.D. Campbell (Ed.).
2. Baroody A.J., Tiilikainen S.H., Tai Y. The application and development of an addition goal sketch. Cognition and Instruction 2006, 24:123-170.
3. Belfanz R., Byrnes V. Closing the mathematics achievement gap in high poverty middle schools: Enablers and constraints. Journal of Education for Students Placed at Risk 2006, 11:143-159.
4. Belfanz R., Herzog L., MacIver D.J. Preventing student disengagement and keeping students on the graduation path in urban middle-grades schools: Early identification and effective interventions. Educational Psychologist 2007, 42:223-235.
5. Boulton-Lewis G.M. An assessment of the processing load of some strategies and representations for subtraction used by teachers and young children. The Journal of Mathematical Behavior 1993, 12(4):387-409.
6. Bull R., Espy R.A., Wiebe S.A. Short-term memory, working memory, and executive functioning in preschoolers: Longitudinal predictors of mathematical achievement at age 7 years. Developmental Neuropsychology 2008, 33:205-228.
7. Carpenter T.P., Fennema E., Peterson P.L., Chiang C., Loef M. Using knowledge of children's mathematics thinking in classroom teaching: An experimental study. American Educational Research Journal 1989, 26:499-531.
8. Carr M., Alexander J., Folds-Bennett T. Metacognition and mathematics strategy use. Applied Cognitive Psychology 1994, 8:583-595.
9. Carr M., Davis H. Gender differences in mathematics strategy use: The influence of temperament. Learning and Individual Differences 2002, 13:83-95.
10. Carr M., Jessup D.L., Fuller D. Gender differences in first grade mathematics strategy use: Parent and teacher contributions. Journal for Research in Mathematics Education 1999, 30:20-46.
11. Carr M., Steiner H.H., Kyser B., Biddlecomb B. A comparison of predictors of early emerging gender differences in mathematics competency. Learning and Individual Differences 2008, 18:61-75.
12. Case R., Okamoto Y., Griffin S., McKeough A., Bleiker C., Henderson B., et al. The role of central conceptual structures in the development of children's thought. Monographs of the Society for Research in Child Development 1996, 61.
13. Ceci S.J., Paierno P.B. The rhetoric and reality of gap-closing: When the " have-nots" gain but the " haves" gain even more. American Psychologist 2005, 60:149-160.
14. Desoete A., Roeyers H., Buysse A. Metacognition and problem solving in grade 3. Journal of Learning Disabilities 2001, 34:435-447.
15. Fennema E., Carpenter T.P., Jacobs V.R., Franke M.L., Levi L. A longitudinal study of gender differences in young children's mathematical thinking. Educational Researcher 1998, 27:6-11.
16. Fuchs L.S., Powell S.R., Hamlett C.L., Fuchs D., Cirino P.T., Fletcher J.M. Remediating computational deficits at third grade: A randomized field trial. Journal of Research on Educational Effectiveness 2008, 1:2-32.
17. Furst A., Hitch G.J. Separate roles for executive and phonological components in mental arithmetic. Memory and Cognition 2000, 28:774-782.
18. Fuson K.C., Secada W.G. Teaching children to add by counting-on with one-handed finger patterns. Cognition and Instruction 1986, 3(3):229-260.
19. Gathercole S.E., Pickering S.J. Working memory deficits in children with low achievements in the national curriculum at 7years of age. British Journal of Educational Psychology 2000, 70:177-194.
20. Geary D.C. Children's mathematical development 1994, American Psychological Association, Washington, DC.
21. Geary D.C., Hoard M.K., Byrd-Craven J., DeSoto M.C. Strategy choices in simple and complex addition: Contributions of working memory and counting knowledge for children with mathematical disability. Journal of Experimental Child Psychology 2004, 88:121-151.
22. Hanushek E.A., Rivkin S.G. School quality and the black-white achievement gap (Working Paper No. 12651) 2006, National Bureau of Economic Research, Cambridge, MA.
23. Hasselbring T.S., Goin L., Bransford J.D. Developing math automaticity in learning handicapped children: The role of computerized drill and practice. Focus on Exceptional Children 1988, 20(6):1-7.
24. Kail, R., & Hall, L. K. (1997). Direct and indirect influences of developmental changes in processing speed on children's word-problem performance. Paper presented at the Society for Research in Child Development, Washington, DC.
25. Kamii C., Lewis B.A., Kirkland L. Manipulatives: When are they useful?. The Journal of Mathematical Behavior 2001, 20:21-31.
26. Kenny-Benson G.A., Pomerantz E.M., Ryan A.M., Patrick H. Sex differences in math performance: The role of children's approach to schoolwork. Developmental Psychology 2006, 42:11-26.
27. Kintsch W. The role of knowledge in discourse comprehension: A construction-integration model. Psychological Review 1988, 95:163-182.
28. Kuhn D., Garcia-Mila M., Zohar A., Anderson C. Strategies of knowledge acquisition. Monographs of the Society for Research in Child Development 1995, 60(4):245.
29. McEwan E.K. The principal's guide to raising math achievement 2000, Corwin Press, New York.
30. McNeil N., Jarvin L. When theories don't add up: Disentangling the manipulatives debate. Theory into Practice 2007, 46:309-316.
31. Montague M., Bos C. Cognitive and metacognitive characteristics of eighth grade students' mathematical problem solving. Learning & Individual Differences 1990, 2:371-388.
32. Montague M., Jitendra A.K. Teaching mathematics to middle school students with learning difficulties 2006, Guilford Press, New York.
33. National Center for Educational Statistics (2007). The Nation's Report Card: Mathematics, 2007. http://nationsreportcard.gov/math_2007.
34. National Center for Educational Statistics (2009). The Nation's Report Card: Mathematics, 2009. http://nationsreportcard.gov/math_2009.
35. National Science Board (2000). Toward a more effective NSF Role in International Science and Engineering. http://www.nsf.gov/nsb/documents/2000/nsb00217/nsb00217.htm.
36. Poncy B.C., Skinner C.H., Jaspers K.E. Evaluating and comparing interventions designed to enhance math fact accuracy and fluency: Cover, copy, and compare versus taped problems. Journal of Behavioral Education 2007, 16:27-37.
37. Rhymer K.N., Skinner C.H., Jackson S., McNeill S., Smith T., Jackson B. The 1-minute explicit timing intervention: The influence of mathematics problem difficulty. Journal of Instructional Psychology 2002, 29(4):305-311.
38. Royer J.M., Tronsky L.N., Chan Y., Jackson S.J., Marchant H. Math-fact retrieval as the cognitive mechanism underlying gender differences in math test performance. Contemporary Educational Psychology 1999, 24:181-266.
39. Skinner C.H. Preventing academic skills deficits. Handbook of child behavior therapy: Ecological considerations in assessment, treatment, and evaluation 1998, 61-83. Plenum, New York. T.S. Watson, F. Gresham (Eds.).
40. Skinner C.H., Turco T.L., Beatty K.L., Rasavage C. Cover, copy, and compare: A method for increasing multiplication performance. School Psychology Review 1989, 18(3):412-420.
41. Skinner C.H., Bamberg H.W., Smith E.S., Powell S.S. Cognitive cover, copy, and compare: Subvocal responding to increase rates of accurate division responding. RASE: Remedial & Special Education 1993, 14(1):49-56.
42. Skinner C.H., McLaughlin T.F., Logan P. Cover, copy, and compare: A self-managed academic intervention effective across skills, students, and settings. Journal of Behavioral Education 1997, 7(3):295-306.
43. Slife B.R., Weiss J., Bell T. Separability of metacognition and cognition: Problem solving in learning disabled and regular students. Journal of Educational Psychology 1985, 77:437-445.
44. Steffe L.P., von Glasersfeld E., Richards J., Cobb P. Children's counting types: Philosophy, theory, and application 1983, Raeger Scientific, New York.
45. Steffe L.P., Cobb P., von Glaserfeld E. Construction of arithmetical meanings and strategies 1988, Springer-Verlag, New York.
46. Tsui M. Gender and mathematics achievement in China and the United States. Gender Issues 2007, 24:1-11.
47. Uttal D.H., Scudder K.V., DeLoache J.S. Manipulatives as symbols: A new perspective on the use of concrete objects to teach mathematics. Journal of Applied Developmental Psychology 1997, 18:37-54.
48. Whang P.A., Hancock G.R. Modeling the mathematics achievement of Asian-American elementary students. Learning and Individual Differences 1997, 9:63-88.
49. Widaman K.F., Little T.D., Geary D.C. Individual differences in that development of skill in mental addition: Internal and external validation of chronometric models. Learning and Individual Differences 1992, 4:167-213.
50. Winston D.A., Royer J.M. Mathematical cognition 2003, IA Press, New York.
51. Zentall S.S. Fact-retrieval automatization and math problem solving by learning disabled, attention disordered, and normal adolescents. Journal of Educational Psychology 1990, 82:856-865.