Cognitive correlates of math skills in third-grade students

References

• Anderson , L.W. and Krathwohl , D.R. , eds. 2001 . A taxonomy for learning, teaching, and assessing: A revision of Bloom’s taxonomy of educational objectives , New York, NY : Longman .
   Google Scholar
• Andersson , U. 2007 . The contribution of working memory to children’s mathematical word problem solving . Applied Cognitive Psychology , 21 : 201 – 1216 .
   Google Scholar
• Andersson , U. and Lyxell , B. 2007 . Working memory deficit in children with mathematical difficulties: A general or specific deficit? . Journal of Experimental Child Psychology , 96 : 197 – 228 .
   PubMed Web of Science ®Google Scholar
• Baddeley , A. , Eysenck , M.W. and Anderson , M.C. 2009 . Memory , Hove : Psychology Press .
   Google Scholar
• Barbosa , T. , Miranda , M.C. , Santos , R. and Bueno , O.F.A. 2009 . Phonological working memory, phonological awareness and language in literacy difficulties in Brazilian children . Reading and Writing , 22 : 201 – 218 .
   Web of Science ®Google Scholar
• Barrouillet , P. and Lépine , R. 2005 . Working memory and children’s use of retrieval to solve addition problems . Journal of Experimental Child Psychology , 91 : 183 – 204 .
   PubMed Web of Science ®Google Scholar
• Basic Education. (n.d.). In Estonian Ministry of Education and Research. Retrieved from http://www.hm.ee/index.php?1510026
   Google Scholar
• Bedard , A.-C. , Martinussen , R. , Ickowicz , A. and Tannock , R. 2004 . Methylphenidate improves visual-spatial memory in children with attention-deficit/hyperactivity disorder . Journal of the American Academy of Child and Adolescent Psychiatry , 43 : 260 – 280 .
   PubMed Web of Science ®Google Scholar
• Berg , D.H. 2008 . Working memory and arithmetic calculation in children: The contributory roles of processing speed, short-term memory, and reading . Journal of Experimental Child Psychology , 99 : 288 – 308 .
   PubMed Web of Science ®Google Scholar
• Bildungsstandards im Fach Mathematik für den Mittleren Schulabschluss. (2003). http://www.landesschulrat.salzburg.at/service/standards/Mathematik_MSA_BS_04-12-2003.pdf
   Google Scholar
• Bloom , B.S. , Engelhart , M.D. , Furst , E.J. , Hill , W.H. and Krathwohl , D.R. 1956 . Taxonomy of educational objectives. The classification of educational goals. Handbook I: The cognitive domain , New York, NY : David McKay .
   Google Scholar
• Brainerd , C.J. 1983 . Young children’s mental arithmetic errors: A working-memory analysis . Child Development , 54 : 812 – 830 .
   Web of Science ®Google Scholar
• Camos , V. 2008 . Low working memory capacity impedes both efficiency and learning of number transcoding in children . Journal of Experimental Child Psychology , 99 : 37 – 57 .
   PubMed Web of Science ®Google Scholar
• Das , J.P. , Naglieri , J.A. and Kirby , J.R. 1994 . Assessment of cognitive processes: The PASS theory of intelligence , Boston, MA : Allyn and Bacon .
   Google Scholar
• Dedrick , R.F. , Tan , T.X. and Marfo , K. 2008 . Factor structure of the Child Behavior Checklist/6–18 in a sample of girls adopted from China . Psychological Assessment , 20 : 70 – 75 .
   PubMed Web of Science ®Google Scholar
• Dehn , M.J. 2008 . Working memory and academic learning: Assessment and intervention , Hoboken, New Jersey : Wiley & Sons .
   Google Scholar
• De Smedt , B. , Janssen , R. , Bouwens , K. , Verschaffel , L. , Boets , B. and Ghesquiére , P. 2009 . Working memory and individual differences in mathematics achievement: A longitudinal study from first grade to second grade . Journal of Experimental Child Psychology , 103 : 469 – 479 .
   PubMed Web of Science ®Google Scholar
• Desoete , A. and Roeyers , H. 2005 . Cognitive skills in mathematical problem solving in grade 3 . British Journal of Educational Psychology , 75 : 119 – 138 .
   PubMed Web of Science ®Google Scholar
• Durand , M. , Hulme , C. , Larkin , R. and Snowling , M. 2005 . Cognitive foundations of reading and arithmetic skills in 7- to 10-year-olds . Journal of Experimental Child Psychology , 91 : 113 – 136 .
   PubMed Web of Science ®Google Scholar
• Farias , S.T. , Mungas , D. , Reed , B.R. , Cahn-Weiner , D. , Jagust , W. Baynes , K. 2008 . The measurement of everyday cognition (ECog): Scale development and psychometric properties . Neuropsychology , 31 : 531 – 544 .
   Google Scholar
• Farrington-Flin , L. , Canoci , K.H. , Wood , C. and Faulkner , D. 2007 . The role of relational reasoning in children’s addition concepts . British Journal of Developmental Psychology , 25 : 227 – 246 .
   Google Scholar
• Floyd , R.G. , Bergeron , R. , McCormack , A.C. , Anderson , J.L. and Hargrove-Owens , G.L. 2005 . Are Cattell–Horn–Carroll broad ability composite scores exchangeable across batteries? . School Psychology Review , 24 : 329 – 357 .
   Google Scholar
• Floyd , R.G. , Evans , J.J. and McGrew , K.S. 2003 . Relations between measures of Cattell–Horn–Carroll (CHC) abilities and mathematics achievement across the school-age years . Psychology in the Schools , 60 : 155 – 171 .
   Google Scholar
• Fuchs , L.S. , Compton , D.L. , Fuchs , D. , Paulsen , K. , Bryant , J.D. and Hamlett , C.L. 2005 . The prevention, identification, and cognitive determinants of math difficulty . Journal of Educational Psychology , 97 : 493 – 513 .
   Web of Science ®Google Scholar
• Fuchs , L.S. , Fuchs , D. , Compton , D.L. , Schatschneider , C. , Powell , S.R. , Seethaler , P.M. , … and Fletcher , J.M. 2006 . The cognitive correlates of third-grade skill in arithmetic, algorithmic computation, and arithmetic word problems . Journal of Educational Psychology , 98 : 29 – 43 .
   Web of Science ®Google Scholar
• Fuchs , L.S. , Fuchs , D. , Stuebing , K. , Fletcher , J.M. , Hamlett , C.L. and Lambert , W. 2008 . Problem solving and computational skill: Are they shared or distinct aspects of mathematical cognition? . Journal of Educational Psychology , 100 : 30 – 47 .
   PubMed Web of Science ®Google Scholar
• Garafalo , J.F. 1982 . Simultaneous synthesis, behavior regulation and arithmetic performance . Journal of Psychoeducational Assessment , 4 : 229 – 238 .
   Google Scholar
• Gathercole , S.E. , Alloway , T.P. , Wills , C. and Adams , A.M. 2006 . Working memory in children with reading disabilities . Journal of Experimental Child Psychology , 93 : 265 – 281 .
   PubMed Web of Science ®Google Scholar
• Geary , D.C. , Hamson , C.D. and Hoard , M.D. 2000 . Numerical and arithmetical cognition: A longitudinal study of process and concept deficits in children with learning disabilities . Journal of Experimental Child Psychology , 77 : 236 – 263 .
   PubMed Web of Science ®Google Scholar
• Geary , D.C. , Hoard , M.D. , Byrd-Craven , J. , Nugent , L. and Numtee , C. 2007 . Cognitive mechanisms underlying achievement deficits in children with mathematical learning disability . Child Development , 78 : 1343 – 1359 .
   PubMed Web of Science ®Google Scholar
• Hale , J.B. , Fiorello , C.A. , Kavanaugh , J.A. , Hoeppner , J.B. and Gaitherer , R.A. 2001 . WISC-III predictors of academic achievement for children with learning disabilities: Are global and factor scores comparable? . School Psychology Quarterly , 16 : 31 – 35 .
   Web of Science ®Google Scholar
• Hecht , S.A. , Torgesen , J.K. , Wagner , R.K. and Rashotte , C.A. 2001 . The relations between phonological processing abilities and emerging individual differences in mathematical computation skills: A longitudinal study from second to fifth grades . Journal of Experimental Child Psychology , 79 : 192 – 227 .
   PubMed Web of Science ®Google Scholar
• Holmes , J. and Adams , J.W. 2006 . Working memory and children’s mathematical skills: Implications for mathematical development and mathematical curricula . Educational Psychology , 26 : 339 – 366 .
   Google Scholar
• Hu , L. and Bentler , P.M. 1998 . Fit indices in covariance structure modeling: Sensitivity to underparameterized model misspecification . Psychological Methods , 3 : 424 – 453 .
   Web of Science ®Google Scholar
• Jakobson , A. and Kikas , E. 2007 . Cognitive functioning in children with and without attention-deficit/hyperactivity disorder with and without comorbid learning disabilities . Journal of Learning Disabilities , 40 : 194 – 202 .
   PubMed Web of Science ®Google Scholar
• Jarvis , H.L. and Gathercole , S.E. 2003 . Verbal and nonverbal working memory and achievements on national curriculum tests at 7 and 14 of age . Educational and Child Psychology , 20 : 123 – 140 .
   Google Scholar
• Jordan , N.C. , Levine , S.C. and Huttenlocher , J. 1995 . Calculation abilities in young children with different patterns of cognitive functioning . Journal of Learning Disabilities , 28 : 53 – 64 .
   PubMed Web of Science ®Google Scholar
• Kaufman , A.S. and Kaufman , N.L. 2004 . K-ABC-II. Kaufman assessment battery for children. Manual , 2nd ed. , Circle Pines, MN : American Guidance Service .
   Google Scholar
• Keith , T.Z. 1999 . Effects of general and specific abilities on student achievement: Similarities and differences across ethnic groups . School Psychology Quarterly , 14 : 239 – 262 .
   Web of Science ®Google Scholar
• Kikas , E. , Männamaa , M. , Kumari , V. and Ulst , T. 2008 . The relationships among verbal skills of primary school students with specific learning disabilities and a typically developing comparison group . International Journal of Disability, Development and Education , 55 : 315 – 329 .
   Web of Science ®Google Scholar
• Kline , P. 1994 . The handbook of psychological testing , London : Routledge .
   Google Scholar
• Koponen , T. , Aunola , K. , Ahonen , T. and Nurmi , J.-E. 2007 . Cognitive predictors of single-digit and procedural calculation skills and their covariation with reading skill . Journal of Experimental Child Psychology , 97 : 220 – 241 .
   PubMed Web of Science ®Google Scholar
• Korkman , M. , Kirk , U. and Kemp , S.I. 1998 . NEPSY: A developmental neuropsychological assessment , San Antonio, TX : Psychological Corporation .
   Google Scholar
• Kroesbergen , E.H. , Van Luit , J.E.H. and Naglieri , J.A. 2003 . Mathematical learning difficulties and PASS cognitive processes . Journal of Learning Disabilities , 36 : 574 – 582 .
   PubMed Web of Science ®Google Scholar
• Krutetskii , V.A. 1976 . The psychology of mathematical abilities in schoolchildren , Chicago, IL : University of Chicago .
   Google Scholar
• Kyttälä , M. , Aunio , P. and Hautamäki , J. 2010 . Working memory resources in young children with mathematical difficulties . Scandinavian Journal of Psychology , 51 : 1 – 15 .
   PubMed Web of Science ®Google Scholar
• Kyttälä , M. and Lehto , J.E. 2008 . Some factors underlying mathematical performance: The role of visuospatial working memory and non-verbal intelligence . European Journal of Psychology of Education , 23 : 77 – 94 .
   Web of Science ®Google Scholar
• Larkin , J. , McDermott , J. , Simon , D. and Simon , H. 1980 . Expert and novice performance in solving physics problems . Science , 208 : 1335 – 1342 .
   PubMed Web of Science ®Google Scholar
• Lee , K. , Ng , S.-F. , Ng , E.-L. and Lim , Z.-Y. 2004 . Working memory and literacy as predictors of performance on algebraic word problems . Journal of Experimental Child Psychology , 89 : 140 – 158 .
   PubMed Web of Science ®Google Scholar
• Lepola , J. , Niemi , P. , Kuikka , M. and Hannula , M. 2005 . Cognitive-linguistic skills and motivation as longitudinal predictors of reading and arithmetic achievement: A follow up study from kindergarten to grade 2 . International Journal of Educational Research , 43 : 250 – 271 .
   Google Scholar
• Luria , A. 1973 . Osnovy neuropsihologi [The basic of neuropsychology] , Moskva : Izdatelstvo Moskovskoi Universitety .
   Google Scholar
• Luria , A. 1976 . Working brain. An introduction to neuropsychology , Harmondsworth : Penguin Books .
   Google Scholar
• Lynn , R. , Allik , J. and Irwing , P. 2004 . Sex differences on three factors identified in Raven’s standard progressive matrices . Intelligence , 32 : 411 – 424 .
   Web of Science ®Google Scholar
• Lynn , R. , Pullmann , H. and Allik , J. 2003 . A new estimate of the IQ in Estonia . Perceptual and Motor Skills , 97 : 662 – 664 .
   PubMedGoogle Scholar
• Marzano , R.J. and Kendalle , J.S. 2007 . The new taxonomy of educational objectives , 2nd ed. , Thousand Oaks, CA : Corwin Press .
   Google Scholar
• Maybery , M.T. and Do , N. 2003 . Relationships between facets of working memory and performance on a curriculum-based mathematics test in children . Educational and Child Psychology , 30 : 77 – 92 .
   Google Scholar
• McLean , J.F. and Hitch , G.J. 1999 . Working memory impairments in children with specific arithmetic learning difficulties . Journal of Experimental Child Psychology , 74 : 240 – 260 .
   PubMed Web of Science ®Google Scholar
• Mullis , I.V.S. , Martin , M.O. and Foy , P. 2008 . “ Average achievement in the mathematics content and cognitive domains ” . In TIMMS 2003 International mathematics report: Findings from IEA’s trends in international mathematics and science study at the fourth and eighth grades) , 117 – 141 . Chestnut Hill, MA : TIMSS & PIRLS International Study Center, Boston College .
   Google Scholar
• Mullis , V.S.I. , Martin , M.O. , Ruddock , G.J. , O’Sullivan , C.Y. , Arora , A. and Erberber , E. 2005 . TIMSS 2007 assessment framework , Chestnut Hill, MA : TIMSS & PIRLS International Study Center, Boston College .
   Google Scholar
• Mullis , I.V.S. , Martin , M.O. , Smith , T.A. , Garden , R.A. , Gregory , K.D. , Gonzalez , E.J. , Chrostowski , S.J. and O’Connor , K.M. 2003 . TIMSS assessment frameworks and specifications , Chestnut Hill, MA : International Study Center, Boston College .
   Google Scholar
• Muthén , L.K. and Muthén , B.O. 1998–2010 . Mplus user’s guide , 6th ed. , Los Angeles, CA : Muthén & Muthén .
   Google Scholar
• Männamaa , M. and Kikas , E. 2010 . “ Cognitive profiles and their stability in different academic performance groups of math and language ” . In Systemic person-oriented study of child development in early primary school , Edited by: Toomela , A. 95 – 131 . Frankfurt : Peter Lang .
   Google Scholar
• Männamaa , M. , Kikas , E. and Raidvee , A. 2008 . The effect of testing conditions on word guessing in elementary school children . Journal of Psychoeducational Assessment , 26 : 16 – 26 .
   Web of Science ®Google Scholar
• Naglieri , J.A. 1997 . “ Planning, attention, simultaneous, and successive theory and the cognitive assessment system: A new theory-based measure of intelligence ” . In Contemporary intellectual assessment , Edited by: Flanagan , D.P. , Genshaft , J.L. and Harrison , P.L. 247 – 268 . New York, NY : The Guilford Press .
   Google Scholar
• Naglieri , J.A and Johnson , D. 2000 . Effectiveness of a cognitive strategy intervention in improving arithmetic computation based on the PASS theory . Journal of Learning Disabilities , 33 : 591 – 597 .
   PubMed Web of Science ®Google Scholar
• Passolunghi , M.C. , Mammarella , I.C. and Altoè , G. 2008 . Cognitive abilities as precursors of the early acquisition of mathematical skills during first through second grades . Developmental Neuropsychology , 33 : 229 – 250 .
   PubMed Web of Science ®Google Scholar
• Passolunghi , M.C. and Siegel , L.S. 2001 . Short-term memory, working memory, and inhibitory control in children with specific arithmetic learning disabilities . Journal of Experimental Child Psychology , 80 : 44 – 57 .
   PubMed Web of Science ®Google Scholar
• Passolunghi , M.C. and Siegel , L.S. 2004 . Working memory and access to numerical information in children with disability in mathematics . Journal of Experimental Child Psychology , 88 : 348 – 367 .
   PubMed Web of Science ®Google Scholar
• Passolunghi , M.C. , Vercelloni , B. and Schadee , H. 2007 . The precursors of mathematics learning: Working memory, phonological ability and numerical competence . Cognitive Development , 22 : 165 – 184 .
   Web of Science ®Google Scholar
• Principles and standards for school mathematics. National council of teachers of mathematics. (n.d.). Retrieved from http://www.nctm.org/standards/content.aspx?id=4294967312
   Google Scholar
• Rasmussen , C. and Bisanz , J. 2005 . Representation and working memory in early arithmetic . Journal of Experimental Child Psychology , 91 : 137 – 157 .
   PubMed Web of Science ®Google Scholar
• Raven , J. 1981 . Manual for Raven’s progressive matrices and Mill Hill vocabulary skills , Oxford : Oxford Psychologists Press .
   Google Scholar
• Riiklik Eksami- ja Kvalifikatsioonikeskus. (2006). Tasemetööd 3. klass [The National 3rd grade achievement tests]. Retrieved /tasemetood_3kl_%20analuus.pdf
   Google Scholar
• Riiklik Eksami- ja Kvalifikatsioonikeskus. (2007). Tasemetööd 3. klass [The National 3rd grade achievement tests]. Retrieved from http://www.ekk.edu.ee/vvfiles/0/3kl_tasemetood_2007.pdf
   Google Scholar
• Schuchardt , K. , Maehler , C. and Hasselhorn , M. 2008 . Working memory deficits in children with specific learning disorders . Journal of Learning Disabilities , 41 : 514 – 523 .
   PubMed Web of Science ®Google Scholar
• Siegler , R. 2005 . Children’s learning . American Psychologist , 60 : 769 – 778 .
   PubMed Web of Science ®Google Scholar
• Siegel , L.S. and Linder , B. 1984 . Short-term memory processes in children with reading and arithmetic disabilities . Developmental Psychology , 20 : 200 – 207 .
   Web of Science ®Google Scholar
• Siegler , L.S. and Shrager , J. 1984 . “ Strategy choices in addition and subtraction: How do children know what to do? ” . In The origins of cognitive skills , Edited by: Sophian , C. 229 – 293 . Hillsdale, NJ : Erlbaum .
   Google Scholar
• Sikora , D.M. , Haley , P. , Edwards , J. and Butler , R.W. 2002 . Tower of London test performance in children with poor arithmetic skills . Developmental Neuropsychology , 21 : 243 – 254 .
   PubMed Web of Science ®Google Scholar
• Sodoro , J. , Allinder , R.M. and Rankin-Erickson , J.L. 2002 . Assessment of phonological awareness: Review of methods and tools . Educational Psychology Review , 14 : 223 – 260 .
   Web of Science ®Google Scholar
• Soodla , P. and Kikas , E. 2010 . “ Teachers’ judgments of students’ reading difficulties and factors related to its accuracy ” . In Systemic person-oriented study of child development in early primary school , Edited by: Toomela , A. 73 – 94 . Frankfurt : Peter Lang .
   Google Scholar
• Strauss , E. , Scherman , E.M.S. and Spreen , O. 2006 . A compendium of neuropsychological tests. Administration, norms, and commentary , New York, NY : Oxford University Press .
   Google Scholar
• Swanson , H.L. 2006 . Cross-sectional and incremental changes in working memory and mathematical problem solving . Journal of Educational Psychology , 98 : 265 – 281 .
   Web of Science ®Google Scholar
• Swanson , H.L. and Beebe-Frankenberger , M. 2004 . The relationship between working memory and mathematical problem solving in children at risk and not at risk for serious math difficulties . Journal of Educational Psychology , 96 : 471 – 491 .
   Web of Science ®Google Scholar
• Swanson , H.L. and 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 .
   PubMed Web of Science ®Google Scholar
• Taub , G.E. , Floyd , R.G. , Keith , T.Z. and McGrew , K.S. 2008 . Effects of general and broad cognitive abilities on mathematics abilities . School Psychology Quarterly , 23 : 187 – 198 .
   Web of Science ®Google Scholar
• Toomela , A. 2002 . Drawing as a verbally mediated activity: A study of relationships between verbal, motor, and visuospatial skills and drawings in children . International Journal of Behavioral Development , 26 : 234 – 247 .
   Web of Science ®Google Scholar
• Toomela , A. 2003 . Relationships between personality structure, structure of word meaning, and cognitive ability: A study of cultural mechanisms of personality . Journal of Personality and Social Psychology , 85 : 723 – 735 .
   PubMed Web of Science ®Google Scholar
• Toomela , A. , Tomberg , T. , Orasson , A. , Tikk , A. and Nõmm , M. 1999 . Paradoxical facilitation of a free recall of nonwords in persons with traumatic brain injury . Brain and Cognition , 39 : 187 – 201 .
   PubMed Web of Science ®Google Scholar
• Trbovitc , P.L. and LeFevre , J. 2003 . Phonological and visuo-spatial working memory in mental addition . Memory and Cognition , 31 : 738 – 745 .
   PubMedGoogle Scholar
• Vabariigi Valitsus . 2007 . Põhikooli ja gümnaasiumi riiklik õppekava [The National Curriculum of Basic and Gymnasium Education of Estonia] . Riigi Teataja I , 40 : 294 Retrieved from https://www.riigiteataja.ee/ert/act.jsp?id=802290
   Google Scholar
• Vabariigi Valitus . 2008 . Kooleelse lasteasutuse riiklik õppekava [The National Curriculum of Preschool Education of Estonia]. . Riigi Teataja I , 23 : 152 Retrieved from http://www.riigiteataja.ee/ert/act.jsp?id=12970917
   Google Scholar
• Wachs , M.C. and Harris , M. 1986 . Simultaneous and successive processing in university students: Contribution to academic performance . Journal of Psychoeducational Assessment , 4 : 103 – 112 .
   Google Scholar
• Watson , C.S. , Kidd , G.R. , Horner , D.G. , Connell , P.J. , Lowther , A. , Eddins , D.A. , … and Watson , B.U. 2003 . Sensory, cognitive, and linguistic factors in the early academic performance of elementary school children: The Benton-IU project . Journal of Learning Disabilities , 36 : 165 – 197 .
   PubMed Web of Science ®Google Scholar
• Watters , J.J. and English , L.D. 1995 . Children’s application of simultaneous and successive processing in inductive and deductive reasoning problems: Implications for developing scientific reasoning skills . Journal of Research in Science Teaching , 32 : 699 – 714 .
   Web of Science ®Google Scholar
• Wilson , K.M. and Swanson , H.L. 2001 . Are mathematics disabilities due to a domain-general or a domain-specific working memory deficit? . Journal of Learning Disabilities , 34 : 237 – 248 .
   PubMed Web of Science ®Google Scholar
• Yu, C.Y. (2002). Evaluating cutoff criteria of model fit indices for latent variable models with binary and continuous outcomes (Unpublished doctoral dissertation). University of California, Los Angeles, CA.
   Google Scholar
• Zago , L. and Tzourio-Mazoyer , N. 2002 . Distinguishing visuo-spatial working memory and complex mental calculation areas within the parietal lobes . Neuroscience Letters , 331 : 45 – 49 .
   PubMed Web of Science ®Google Scholar
• Zevenbergen , R. , Dole , S. and Wright , R.J. 2004 . Teaching mathematics in primary schools , Crows Nest : Allen & Unwin .
   Google Scholar