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Volumn 50, Issue 3, 2013, Pages 533-573

Can Computer-Assisted Discovery Learning Foster First Graders' Fluency With the Most Basic Addition Combinations?

Author keywords

basic number facts; computer assisted instruction; discovery learning; elementary math; instructional design

Indexed keywords


EID: 84878099082     PISSN: 00028312     EISSN: None     Source Type: Journal    
DOI: 10.3102/0002831212473349     Document Type: Article
Times cited : (34)

References (111)
  • 2
    • 0026902617 scopus 로고
    • Cognitive arithmetic: A review of data and theory
    • Ashcraft M. H.Cognitive arithmetic: A review of data and theory.Cognition. 1992;44:75-106.
    • (1992) Cognition , vol.44 , pp. 75-106
    • Ashcraft, M.H.1
  • 4
    • 0008669336 scopus 로고
    • Mastery of the basic number combinations: Internalization of relationships or facts?
    • Baroody A. J.Mastery of the basic number combinations: Internalization of relationships or facts?.Journal for Research in Mathematics Education. 1985;16:83-98.
    • (1985) Journal for Research in Mathematics Education , vol.16 , pp. 83-98
    • Baroody, A.J.1
  • 7
    • 0011515866 scopus 로고
    • Kindergartners' mental addition with single-digit combinations
    • Baroody A. J.Kindergartners' mental addition with single-digit combinations.Journal for Research in Mathematics Education. 1989b;20:159-172.
    • (1989) Journal for Research in Mathematics Education , vol.20 , pp. 159-172
    • Baroody, A.J.1
  • 8
    • 0000901938 scopus 로고
    • The development of kindergartners' mental-addition strategies
    • Baroody A. J.The development of kindergartners' mental-addition strategies.Learning and Individual Differences. 1992;4:215-235.
    • (1992) Learning and Individual Differences , vol.4 , pp. 215-235
    • Baroody, A.J.1
  • 9
    • 0039177861 scopus 로고
    • The role of the number-after rule in the invention of computational short cuts
    • Baroody A. J.The role of the number-after rule in the invention of computational short cuts.Cognition and Instruction. 1995;13:189-219.
    • (1995) Cognition and Instruction , vol.13 , pp. 189-219
    • Baroody, A.J.1
  • 18
    • 33645061223 scopus 로고    scopus 로고
    • Oslo, Norway: Institute for Educational Research, University of Oslo
    • Bråten I.Cognitive strategies in mathematics. Oslo, Norway: Institute for Educational Research, University of Oslo; 1996:.
    • (1996) Cognitive Strategies in Mathematics
    • Bråten, I.1
  • 19
    • 0040152591 scopus 로고
    • Reeve W. D., ed.;, New York, NY: Bureau of Publications, Teachers College, Columbia University
    • Brownell W. A.The teaching of arithmetic. Reeve W. D., ed. New York, NY: Bureau of Publications, Teachers College, Columbia University; 1935:1-31.
    • (1935) The Teaching of Arithmetic , pp. 1-31
    • Brownell, W.A.1
  • 21
  • 23
    • 0032152187 scopus 로고    scopus 로고
    • The role of conceptual understanding in children's problem solving
    • Canobi K. H.,Reeve R. A.,Pattison P. E.The role of conceptual understanding in children's problem solving.Developmental Psychology. 1998;34:882-891.
    • (1998) Developmental Psychology , vol.34 , pp. 882-891
    • Canobi, K.H.1    Reeve, R.A.2    Pattison, P.E.3
  • 24
    • 70350717339 scopus 로고    scopus 로고
    • Active-constructive-interactive: A conceptual framework for differentiating learning activities
    • Chi M. T. H.Active-constructive-interactive: A conceptual framework for differentiating learning activities.Topics in Cognitive Science. 2009;1:73-105.
    • (2009) Topics in Cognitive Science , vol.1 , pp. 73-105
    • Chi, M.T.H.1
  • 30
    • 84872304097 scopus 로고    scopus 로고
    • Common Core State Standards. Retrieved from
    • Common Core State Standards. (2011). Common Core State Standards: Preparing America's students for college and career. Retrieved from http://www.carnegielearning.com/webinars/common-core-standards-initiative-preparing-americas-students-for-college-and-career/.
    • (2011) Common Core State Standards: Preparing America's students for college and career
  • 32
    • 0031510838 scopus 로고    scopus 로고
    • Strategy discovery as a competitive negotiation between metacognitive and associative mechanisms
    • Crowley K.,Shrager J.,Siegler R. S.Strategy discovery as a competitive negotiation between metacognitive and associative mechanisms.Developmental Review. 1997;17:462-489.
    • (1997) Developmental Review , vol.17 , pp. 462-489
    • Crowley, K.1    Shrager, J.2    Siegler, R.S.3
  • 33
    • 0033091580 scopus 로고    scopus 로고
    • Explanation and generalization in young children's strategy learning
    • Crowley K.,Siegler R. S.Explanation and generalization in young children's strategy learning.Child Development. 1999;70:304-316.
    • (1999) Child Development , vol.70 , pp. 304-316
    • Crowley, K.1    Siegler, R.S.2
  • 35
    • 0040466779 scopus 로고    scopus 로고
    • Young children's addition estimates
    • Dowker A. D.Young children's addition estimates.Mathematical Cognition. 1997;3:141-154.
    • (1997) Mathematical Cognition , vol.3 , pp. 141-154
    • Dowker, A.D.1
  • 37
    • 71549143481 scopus 로고    scopus 로고
    • Use of derived fact strategies by children with mathematical difficulties
    • Dowker A.Use of derived fact strategies by children with mathematical difficulties.Cognitive Development. 2009;24:401-410.
    • (2009) Cognitive Development , vol.24 , pp. 401-410
    • Dowker, A.1
  • 38
    • 84859725093 scopus 로고    scopus 로고
    • The use of procedural knowledge in simple addition and subtraction
    • Fayol M.,Thevenot C.The use of procedural knowledge in simple addition and subtraction.Cognition. 2012;123:392-403.
    • (2012) Cognition , vol.123 , pp. 392-403
    • Fayol, M.1    Thevenot, C.2
  • 39
    • 0001787245 scopus 로고    scopus 로고
    • Jencks C.Phillips M., ed.;, Washington, DC: Brookings Institution Press
    • Ferguson R. F.The Black-White test score gap. Jencks C.Phillips M., ed. Washington, DC: Brookings Institution Press; 1998:318-374.
    • (1998) The Black-White Test Score Gap , pp. 318-374
    • Ferguson, R.F.1
  • 42
    • 75849145054 scopus 로고    scopus 로고
    • The effects of strategic counting instruction, with and without deliberate practice, on number combination skill among students with mathematics difficulties
    • Fuchs L. S.,Powell S. R.,Seethaler P. M.,Cirino P. T.,Fletcher J. M.,Fuchs D.,Hamlett C. L.The effects of strategic counting instruction, with and without deliberate practice, on number combination skill among students with mathematics difficulties.Learning and Individual Differences. 2010;20:89-100.
    • (2010) Learning and Individual Differences , vol.20 , pp. 89-100
    • Fuchs, L.S.1    Powell, S.R.2    Seethaler, P.M.3    Cirino, P.T.4    Fletcher, J.M.5    Fuchs, D.6    Hamlett, C.L.7
  • 45
    • 0025441789 scopus 로고
    • A componential analysis of an early learning deficit in mathematics
    • Geary D. C.A componential analysis of an early learning deficit in mathematics.Journal of Experimental Child Psychology. 1990;49:363-383.
    • (1990) Journal of Experimental Child Psychology , vol.49 , pp. 363-383
    • Geary, D.C.1
  • 46
    • 0027669890 scopus 로고
    • Mathematical disabilities: Cognitive, neuropsychological, and genetic components
    • Geary D. C.Mathematical disabilities: Cognitive, neuropsychological, and genetic components.Psychological Bulletin. 1993;114:345-362.
    • (1993) Psychological Bulletin , vol.114 , pp. 345-362
    • Geary, D.C.1
  • 49
    • 0033432287 scopus 로고    scopus 로고
    • Number sense: Rethinking arithmetic instruction for students with mathematical disabilities
    • Gersten R.,Chard D.Number sense: Rethinking arithmetic instruction for students with mathematical disabilities.The Journal of Special Education. 1999;33:18-28.
    • (1999) The Journal of Special Education , vol.33 , pp. 18-28
    • Gersten, R.1    Chard, D.2
  • 51
    • 0002808041 scopus 로고
    • Developing math automaticity in learning handicapped children: The role of computerized drill and practice
    • Hasselbring T. S.,Goin L. T.,Bransford J. D.Developing math automaticity in learning handicapped children: The role of computerized drill and practice.Focus on Exceptional Children. 1988;20:1-7.
    • (1988) Focus on Exceptional Children , vol.20 , pp. 1-7
    • Hasselbring, T.S.1    Goin, L.T.2    Bransford, J.D.3
  • 53
    • 34347331274 scopus 로고    scopus 로고
    • Scaffolding and achievement in problem-based and inquiry learning: A response to Kirschner, Sweller, and Clark
    • Hmelo-Silver C. E.,Duncan R. G.,Chinn C. A.Scaffolding and achievement in problem-based and inquiry learning: A response to Kirschner, Sweller, and Clark.Educational Psychologist. 2007;42:99-107.
    • (2007) Educational Psychologist , vol.42 , pp. 99-107
    • Hmelo-Silver, C.E.1    Duncan, R.G.2    Chinn, C.A.3
  • 54
    • 84867490794 scopus 로고    scopus 로고
    • Institute of Education Sciences. (Version 2.1). Retrieved from
    • Institute of Education Sciences. (2011). What works clearinghouse: Procedures and standards handbook(Version 2.1). Retrieved from http://ies.ed.gov/ncee/wwc/pdf/reference_resources/wwc_procedures_v2_1_standards_handbook.pdf.
    • (2011) What works clearinghouse: Procedures and standards handbook
  • 56
    • 0040746739 scopus 로고
    • Some strategies for solving simple multiplication combinations
    • Jerman M.Some strategies for solving simple multiplication combinations.Journal for Research in Mathematics Education. 1970;1:95-128.
    • (1970) Journal for Research in Mathematics Education , vol.1 , pp. 95-128
    • Jerman, M.1
  • 57
    • 35548953090 scopus 로고    scopus 로고
    • The need for number sense
    • Jordan N. C.The need for number sense.Educational Leadership. 2007;65:63-66.
    • (2007) Educational Leadership , vol.65 , pp. 63-66
    • Jordan, N.C.1
  • 60
    • 0000921092 scopus 로고
    • Differential calculation abilities in young children from middle- and low-income families
    • Jordan N. C.,Huttenlocher J.,Levine S. C.Differential calculation abilities in young children from middle- and low-income families.Developmental Psychology. 1992;28:644-653.
    • (1992) Developmental Psychology , vol.28 , pp. 644-653
    • Jordan, N.C.1    Huttenlocher, J.2    Levine, S.C.3
  • 61
    • 38149143392 scopus 로고
    • Assessing early arithmetic abilities: Effects of verbal and nonverbal response types on the calculation performance of middle- and low-income children
    • Jordan N. C.,Huttenlocher J.,Levine S. C.Assessing early arithmetic abilities: Effects of verbal and nonverbal response types on the calculation performance of middle- and low-income children.Learning and Individual Differences. 1994;6:413-432.
    • (1994) Learning and Individual Differences , vol.6 , pp. 413-432
    • Jordan, N.C.1    Huttenlocher, J.2    Levine, S.C.3
  • 62
    • 33644945381 scopus 로고    scopus 로고
    • Number sense growth in kindergarten: A longitudinal investigation of children at risk for mathematics difficulties
    • Jordan N. C.,Kaplan D.,Olah L. N.,Locuniak M. N.Number sense growth in kindergarten: A longitudinal investigation of children at risk for mathematics difficulties.Child Development. 2006;77:153-175.
    • (2006) Child Development , vol.77 , pp. 153-175
    • Jordan, N.C.1    Kaplan, D.2    Olah, L.N.3    Locuniak, M.N.4
  • 63
    • 65649136538 scopus 로고    scopus 로고
    • Early math matters: Kindergarten number competence and later mathematics outcomes
    • Jordan N. C.,Kaplan D.,Ramineni C.,Locuniak M. N.Early math matters: Kindergarten number competence and later mathematics outcomes.Developmental Psychology. 2009;45:850-867.
    • (2009) Developmental Psychology , vol.45 , pp. 850-867
    • Jordan, N.C.1    Kaplan, D.2    Ramineni, C.3    Locuniak, M.N.4
  • 64
    • 64549140724 scopus 로고    scopus 로고
    • Socioeconomic variation, number competence, and mathematics learning difficulties in young children
    • Jordan N. C.,Levine S. C.Socioeconomic variation, number competence, and mathematics learning difficulties in young children.Developmental Disabilities Research Reviews. 2009;15:60-68.
    • (2009) Developmental Disabilities Research Reviews , vol.15 , pp. 60-68
    • Jordan, N.C.1    Levine, S.C.2
  • 66
    • 33744807434 scopus 로고    scopus 로고
    • Why minimal guidance during instruction does not work: An analysis of the failure of constructivist, discovery, problem-based, experiential, and inquiry-based teaching
    • Kirschner P. A.,Sweller J.,Clark R. E.Why minimal guidance during instruction does not work: An analysis of the failure of constructivist, discovery, problem-based, experiential, and inquiry-based teaching.Educational Psychologist. 2006;41:75-86.
    • (2006) Educational Psychologist , vol.41 , pp. 75-86
    • Kirschner, P.A.1    Sweller, J.2    Clark, R.E.3
  • 67
    • 0035146517 scopus 로고    scopus 로고
    • The ethics of sample size: Two-sided testing and one-sided thinking
    • Knotternerus J. A.,Bouter L. M.The ethics of sample size: Two-sided testing and one-sided thinking.Journal of Clinical Epidemiology. 2001;54:109-110.
    • (2001) Journal of Clinical Epidemiology , vol.54 , pp. 109-110
    • Knotternerus, J.A.1    Bouter, L.M.2
  • 68
    • 85044884306 scopus 로고    scopus 로고
    • Multiple facets of inequality in racial and ethnic achievement gaps
    • Lee J.Multiple facets of inequality in racial and ethnic achievement gaps.Peabody Journal of Education. 2004;79:51-73.
    • (2004) Peabody Journal of Education , vol.79 , pp. 51-73
    • Lee, J.1
  • 70
    • 10344219886 scopus 로고    scopus 로고
    • A closer look at Black-White mathematics gaps: Intersections of race and SES in NAEP achievement and instructional practices data
    • Lubienski S. T.A closer look at Black-White mathematics gaps: Intersections of race and SES in NAEP achievement and instructional practices data.Journal of Negro Education. 2002;71:269-287.
    • (2002) Journal of Negro Education , vol.71 , pp. 269-287
    • Lubienski, S.T.1
  • 75
    • 3042578504 scopus 로고    scopus 로고
    • Paths to learning ten-structured understandings of teen sums: Addition solution methods of Japanese grade 1 students
    • Murata A.Paths to learning ten-structured understandings of teen sums: Addition solution methods of Japanese grade 1 students.Cognition and Instruction. 2004;22:185-218.
    • (2004) Cognition and Instruction , vol.22 , pp. 185-218
    • Murata, A.1
  • 76
    • 60549091016 scopus 로고    scopus 로고
    • A single standard for memory: The case for reconsolidation
    • Nader K.,Hardt O.A single standard for memory: The case for reconsolidation.Nature Reviews/Neuroscience. 2009;10:224-234.
    • (2009) Nature Reviews/Neuroscience , vol.10 , pp. 224-234
    • Nader, K.1    Hardt, O.2
  • 82
    • 0001996725 scopus 로고
    • Ripple R. E.Rockcastle V. N., ed.;, Ithaca, NY: Cornell University
    • Piaget J.Piaget rediscovered. Ripple R. E.Rockcastle V. N., ed. Ithaca, NY: Cornell University; 1964:7-20.
    • (1964) Piaget Rediscovered , pp. 7-20
    • Piaget, J.1
  • 83
    • 84973731144 scopus 로고
    • One- versus two-tailed hypothesis tests in contemporary educational research
    • Pillemer D. B.One- versus two-tailed hypothesis tests in contemporary educational research.Educational Researcher. 1991;20:13-17.
    • (1991) Educational Researcher , vol.20 , pp. 13-17
    • Pillemer, D.B.1
  • 85
    • 41149088873 scopus 로고    scopus 로고
    • Promoting broad and stable improvements in low-income children's numerical knowledge through playing number board games
    • Ramani G. B.,Siegler R. S.Promoting broad and stable improvements in low-income children's numerical knowledge through playing number board games.Child Development. 2008;79:375-394.
    • (2008) Child Development , vol.79 , pp. 375-394
    • Ramani, G.B.1    Siegler, R.S.2
  • 87
    • 0040152589 scopus 로고
    • Suydam M. N.Reys R. E., ed.;, Reston, VA: National Council of Teachers of Mathematics
    • Rathmell E. C.Developing computational skills. Suydam M. N.Reys R. E., ed. Reston, VA: National Council of Teachers of Mathematics; 1978:13-50.
    • (1978) Developing Computational Skills , pp. 13-50
    • Rathmell, E.C.1
  • 90
    • 0011736201 scopus 로고    scopus 로고
    • SCADS: A model of children's strategy choices and strategy discoveries
    • Shrager J.,Siegler R. S.SCADS: A model of children's strategy choices and strategy discoveries.Psychological Science. 1998;9:405-410.
    • (1998) Psychological Science , vol.9 , pp. 405-410
    • Shrager, J.1    Siegler, R.S.2
  • 93
    • 67949106671 scopus 로고    scopus 로고
    • Playing linear number board games-but not circular ones-improves low-income preschoolers' numerical understanding
    • Siegler R. S.,Ramani G. B.Playing linear number board games-but not circular ones-improves low-income preschoolers' numerical understanding.Journal of Educational Psychology. 2009;101:545-560.
    • (2009) Journal of Educational Psychology , vol.101 , pp. 545-560
    • Siegler, R.S.1    Ramani, G.B.2
  • 95
    • 0009902336 scopus 로고
    • Instruction on derived facts strategies in addition and subtraction
    • Steinberg R. M.Instruction on derived facts strategies in addition and subtraction.Journal for Research in Mathematics Education. 1985;16:337-355.
    • (1985) Journal for Research in Mathematics Education , vol.16 , pp. 337-355
    • Steinberg, R.M.1
  • 97
    • 84885155374 scopus 로고
    • Strategy transformation in learning disabled and nondisabled students
    • Swanson H. L.,Cooney J.Strategy transformation in learning disabled and nondisabled students.Learning Disability Quarterly. 1985;8:221-230.
    • (1985) Learning Disability Quarterly , vol.8 , pp. 221-230
    • Swanson, H.L.1    Cooney, J.2
  • 98
    • 0022290226 scopus 로고
    • Strategy transformation in learning disabled children's math performance: Clues to the development of expertise
    • Swanson H. L.,Rhine B.Strategy transformation in learning disabled children's math performance: Clues to the development of expertise.Journal of Learning Disabilities. 1985;18:596-603.
    • (1985) Journal of Learning Disabilities , vol.18 , pp. 596-603
    • Swanson, H.L.1    Rhine, B.2
  • 103
    • 0041417056 scopus 로고
    • Solution strategies: Subtraction number facts
    • Thornton C. A.Solution strategies: Subtraction number facts.Educational Studies in Mathematics. 1990;21:241-263.
    • (1990) Educational Studies in Mathematics , vol.21 , pp. 241-263
    • Thornton, C.A.1
  • 104
    • 0009898232 scopus 로고
    • Action research: Strategies for learning subtraction facts
    • Thornton C. A.,Smith P. J.Action research: Strategies for learning subtraction facts.Arithmetic Teacher. 1988;35:8-12.
    • (1988) Arithmetic Teacher , vol.35 , pp. 8-12
    • Thornton, C.A.1    Smith, P.J.2
  • 105
    • 13944267918 scopus 로고    scopus 로고
    • Simple addition strategies in a first-grade class with multiple strategy instruction
    • Torbeyns J.,Verschaffel L.,Ghesquiere P.Simple addition strategies in a first-grade class with multiple strategy instruction.Cognition and Instruction. 2005;23:1-21.
    • (2005) Cognition and Instruction , vol.23 , pp. 1-21
    • Torbeyns, J.1    Verschaffel, L.2    Ghesquiere, P.3
  • 106
    • 0020744951 scopus 로고
    • Priorities for the use of microcomputers with learning disabled children
    • Torgeson J. K.,Young K. A.Priorities for the use of microcomputers with learning disabled children.Journal of Learning Disabilities. 1983;16:234-237.
    • (1983) Journal of Learning Disabilities , vol.16 , pp. 234-237
    • Torgeson, J.K.1    Young, K.A.2
  • 110
    • 0001653457 scopus 로고    scopus 로고
    • Statistical methods in psychology journals: Guidelines and explanations
    • Wilkinson L.Statistical methods in psychology journals: Guidelines and explanations.American Psychologist. 1999;54:594-604.
    • (1999) American Psychologist , vol.54 , pp. 594-604
    • Wilkinson, L.1


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