The role of individual and contextual factors in the development of maths skills

References

• Ackerman , D.B. 2003 . Synthesize traditional and progressive education for today’s students . Education Digest , 68 : 4 – 11 .
   Google Scholar
• Ai , X. 2002 . Gender differences in growth in mathematics achievement: Three‐level longitudinal and multilevel analyses of individual, home, and school influences . Mathematical Thinking and Learning , 4 : 1 – 22 .
   Google Scholar
• Aunola , K. , Nurmi , J.‐E. , Lerkkanen , M.‐K. and Rasku‐Puttonen , H. 2003 . The roles of achievement‐related behaviours and parental beliefs in children’s mathematical performance . Educational Psychology , 23 : 403 – 422 .
   Google Scholar
• Azmitia , M. 1996 . “ Peer interactive minds: Developmental, theoretical, and methodological issues ” . In Interactive minds: Life‐span perspectives on the social foundation of cognition , Edited by: Baltes , P. and Staudinger , U. 133 – 162 . Cambridge , , UK : Cambridge University Press .
   Google Scholar
• Berliner , D.C. 1994 . “ Expertise: The wonder of exemplary performances ” . In Creating powerful thinking in teachers and students , Edited by: Mangieri , J.N. and Block , C.C. 161 – 186 . Fort Worth , TX : Harcourt Brace College .
   Google Scholar
• Bull , R. , Espy , K.A. and Wiebe , S. 2008 . Short‐term memory, working memory, and executive functioning in preschoolers: Longitudinal predictors of mathematical achievement at age 7 years . Developmental Neuropsychology , 33 : 205 – 228 .
   PubMed Web of Science ®Google Scholar
• Burchinal , M. , Peisner‐Feinberg , E. , Pianta , R. and Howes , C. 2002 . Development of academic skills from preschool through second grade: Family and classroom predictors of developmental trajectories . Journal of School Psychology , 40 : 415 – 436 .
   Web of Science ®Google Scholar
• Campbell , J. , Kyriakides , L. , Muijs , D. and Robinson , W. 2004 . Assessing teacher effectiveness: Developing a differentiated model , New York : Routledge Falmer .
   Google Scholar
• Centre for Innovation in Mathematics Teaching . n.d. . International Project on Mathematical Attainment Retrieved 20 July, 2009 from http://www.cimt.plymouth.ac.uk/projects/ipma/default.htm
   Google Scholar
• Clotfelter , C.T. , Ladd , H.F. and Vigdor , J.L. 2007 . Teacher credentials and student achievement: Longitudinal analysis with student fixed effects . Economics of Education Review , 26 : 673 – 682 .
   Web of Science ®Google Scholar
• Crown , W.D. 1990 . “ Assessment of mathematics ability ” . In Handbook of psychological and educational assessment of children: Intelligence and achievement , Edited by: Reynolds , C.R. and Kamphaus , R.W. 504 – 522 . New York : Guilford Press .
   Google Scholar
• Delgado , A. and Prieto , G. 2004 . Cognitive mediators and sex‐related differences in mathematics . Intelligence , 32 : 25 – 32 .
   Web of Science ®Google Scholar
• Dionne , J. 1984 . “ The perception of mathematics among elementary school teachers ” . In Proceeding of the Sixth Annual Meeting of the PMENA , Edited by: Moser , J. 223 – 228 . Madison , WI : University of Wisconsin .
   Google Scholar
• Duncan , T. , Duncan , S. and Strycker , L. 2006 . An introduction to latent variable growth curve modeling: Concepts, issues, and applications , (2nd ed.) , Mahwah , NJ : Lawrence Erlbaum Associates .
   Google Scholar
• Elliot , A.J. and McGregor , H.A. 2001 . A 2 × 2 achievement goal framework . Journal of Personality and Social Psychology , 80 : 501 – 519 .
   PubMed Web of Science ®Google Scholar
• Fuchs , L. , Fuchs , D. , Compton , D. , Schatschneider , C. , Powell , S. Seethaler , P. 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
• Galloway , D. , Leo , E. and Rogers , C. 1995 . Motivational styles in English and mathematics among children identified as having special educational needs . British Journal of Educational Psychology , 65 : 477 – 487 .
   PubMed Web of Science ®Google Scholar
• Geary , D.C. 1994 . Children’s mathematical development: Research and practical applications , Washington, DC : American Psychological Association .
   Google Scholar
• Geary , D. , Brown , S. and Samaranayake , V. 1991 . Cognitive addition: A short longitudinal study of strategy choice and speed of processing differences in normal and mathematically disabled children . Developmental Psychology , 27 : 787 – 797 .
   Web of Science ®Google Scholar
• Guan , J. , McBride , R. and Xiang , P. 2007 . Reliability and validity evidence for achievement goal models in high school physical education settings . Measurement in Physical Education and Exercise Science , 11 : 109 – 129 .
   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
• Halpern , D. , Benbow , C. , Geary , D. , Gur , R. , Hyde , J. and Gernsbacher , M. 2007 . The science of sex differences in science and mathematics . Psychological Science in the Public Interest , 8 : 1 – 51 .
   PubMedGoogle Scholar
• Handal , B. 2003 . Teacher’s mathematical beliefs: A review . The Mathematics Educator , 13 : 47 – 57 .
   Google Scholar
• Hermans , R. , van Braak , J. and Van Keer , H. 2008 . Development of the Beliefs about Primary Education Scale: Distinguishing a developmental and transmissive dimension . Teaching and Teacher Education , 24 : 127 – 139 .
   Web of Science ®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
• n.d. . IPMA coordinators’ manual Retrieved May 12, 2009, from http://www.cimt.plymouth.ac.uk/projects/ipma/coordman.pdf
   Google Scholar
• n.d. . IPMA tests Retrieved May 12, 2009, from http://www.cimt.plymouth.ac.uk/projects/ipma/default.htm
   Google Scholar
• Jordan , N.C. , Kaplan , D. and Hanich , L.B. 2002 . Achievement growth in children with learning difficulties in mathematics: Findings of a two‐year longitudinal study . Journal of Educational Psychology , 94 : 586 – 598 .
   Web of Science ®Google Scholar
• Kaplan , A. , Middleton , M.J. , Urdan , T. and Midgley , C. 2002 . “ Achievement goals and goal structures ” . In Goals, goal structures and patterns of adaptive learning , Edited by: Midgley , C. 21 – 53 . Mahwah, New Jersey : Lawrence Erlbaum Associates .
   Google Scholar
• Kaufman , A. and Kaufman , N. 1983 . K‐ABC: Kaufman Assessment Battery for children: Interpretive manual , Circle Pines , MN : American Guidance Service .
   Google Scholar
• Kenney‐Benson , G.A. , Pomerantz , E.M. , Ryan , A.M. and Patrick , H. 2006 . Sex differences in math performance: The role of children’s approach to schoolwork . Developmental Psychology , 42 : 11 – 26 .
   PubMed 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 normal comparison group . International Journal of Disability and Education , 55 : 315 – 329 .
   Web of Science ®Google Scholar
• Klecker , B.M. 2002 . The relationship between teachers’ years‐of‐teaching experience and students’ mathematics achievement Retrieved June 29, 2008, from http://www.eric.ed.gov/ericdocs/data/ericdocs2sql/content_storage_01/0000019b/80/1a/a3/32.pdf
   Google Scholar
• Kline , R.B. 2005 . Principles and practice of structural equation modeling , (2nd ed.) , New York : Guilford Press .
   Google Scholar
• Krutetskii , V.A. 1976 . The psychology of mathematical abilities in schoolchildren , Chicago : University of Chicago Press .
   Google Scholar
• Lachance , J.A. and Mazzocco , M.M.M. 2006 . A longitudinal analysis of sex differences in math and spatial skills in primary school age children . Learning and Individual Differences , 16 : 195 – 216 .
   PubMed Web of Science ®Google Scholar
• Leondari , A. and Gialamas , V. 2002 . Implicit theories, goal orientations, and perceived competence: Impact of students’ achievement behavior . Psychology in the Schools , 39 : 79 – 91 .
   Web of Science ®Google Scholar
• Lepmann , L. 1998 . “ Changes in teacher’s mathematical conceptions in 1990–1997 ” . In Theory into practice in mathematics education: Proceedings of Norma 98 (Agder College Research Series No. 13 , Edited by: Breitag , T. and Brekke , G. 179 – 185 . Kristiansand, Norway : Faculty of Mathematics and Sciences, Agder College .
   Google Scholar
• Lepmann , L. 2004 . Science teachers’ conceptions of teaching and of the content as factors influencing the curriculum . Koolimatemaatika [School Mathematics] , 31 : 12 – 17 .
   Google Scholar
• Lerkkanen , M.‐K. , Rasku‐Puttonen , H. , Aunola , K. and Nurmi , J.‐E. 2005 . Mathematical performance predicts progress in reading comprehension among 7‐year olds . European Journal of Psychology of Education , 20 : 121 – 137 .
   Web of Science ®Google Scholar
• Luyten , H. , Cremers‐van Wees , L. and Bosker , R. 2003 . The Matthew effect in Dutch primary education: Differences between schools, cohorts and pupils . Research Papers in Education , 18 : 167 – 195 .
   Google Scholar
• Männamaa , M. , Kikas , E. and Raidvee , A. 2008 . The effect of testing condition on word guessing in elementary school children . Journal of Psychoeducational Assessment , 26 : 16 – 26 .
   Web of Science ®Google Scholar
• Mathematics framework . n.d. . “ Mathematics cognitive domain: Fourth and eighth grade ” . Retrieved May 28, 2007, from http://timss.bc.edu/timss2007/pdf/t07_af_chapter1.pdf
   Google Scholar
• McGregor , H. and Elliot , A. 2002 . Achievement goals as predictors of achievement‐relevant processes prior to task engagement . Journal of Educational Psychology , 94 : 381 – 395 .
   Web of Science ®Google Scholar
• Meijnen , G.W. , Lagerweij , N.W. and de Jong , P.F. 2003 . Instruction characteristics and cognitive achievement of young children in elementary school . School Effectiveness and School Improvement , 14 : 159 – 187 .
   Web of Science ®Google Scholar
• Middleton , M.J. and Midgley , C. 1997 . Avoiding the demonstration of lack of ability: An underexplored aspect of goal theory . Journal of Educational Psychology , 89 : 710 – 718 .
   Web of Science ®Google Scholar
• Midgley , C. , Kaplan , A. and Middleton , M. 2001 . Performance‐approach goals: Good for what, for whom, under what circumstances, and at what cost? . Journal of Educational Psychology , 93 : 77 – 86 .
   Web of Science ®Google Scholar
• Midgley , C. , Maehr , M.L. , Hruda , L.Z. , Anderman , E. , Anderman , L. Freeman , K.E. 2000 . Manual for the Patterns of Adaptive Learning Scales (PALS) , Ann Arbor : University of Michigan .
   Google Scholar
• Mooij , T. and Driessen , G. 2008 . Differential ability and attainment in language and arithmetic of Dutch primary school pupils . British Journal of Educational Psychology , 78 : 491 – 506 .
   PubMed Web of Science ®Google Scholar
• Mullis , I.V.S. , Martin , M.O. and Foy , P. 2005 . “ Country by country profiles of achievement in the mathematics cognitive domains ” . In IEA’s TIMSS 2003 international report on achievement in the mathematics cognitive domains , 53 – 62 . Chestnut Hill , MA : TIMSS & PIRLS International Study Center, Boston College . http://timss.bc.edu/PDF/t03_download/T03MCOGDRPT.pdf
   Google Scholar
• Mythén , L.K. and Mythén , B.O. 1998–2007 . Mplus user’s guide , (5th ed.) , Los Angeles , CA : Muthén & Múthén .
   Google Scholar
• Nunes , T. , Bryant , P. and Evans , D. 2007 . The contribution of logical reasoning to the learning of mathematics in primary school . British Journal of Developmental Psychology , 25 : 147 – 166 .
   Web of Science ®Google Scholar
• Onatsu‐Arvilommi , T. and Nurmi , J.‐E. 2000 . The role of task‐avoidant and task‐focused behaviours in the development of reading and mathematical skills during the first school year: A cross‐lagged longitudinal study . Journal of Educational Psychology , 92 : 478 – 491 .
   Web of Science ®Google Scholar
• Onatsu‐Arvilommi , T. , Nurmi , J.‐E. and Aunola , K. 2002 . The development of achievement strategies and academic skills during the first year of primary school . Learning and Instruction , 12 : 509 – 527 .
   Web of Science ®Google Scholar
• Paas , F. , Renkl , A. and Sweller , J. 2003 . Cognitive load theory and instructional design: Recent developments . Educational Psychologist , 38 : 1 – 4 .
   Web of Science ®Google Scholar
• Pajares , F. , Britner , S.L. and Valiante , G. 2000 . Relation between achievement goals and self‐beliefs of middle school students in writing and science . Contemporary Educational Psychology , 25 : 406 – 422 .
   PubMed Web of Science ®Google Scholar
• Palu , A. , Afanasjev , J. and Vojevodova , K. 2007 . Kolmanda klassi õpilaste matemaatikateadmistest rahvusvahelise uuringu IPMA testide põhjal. [The first three forms pupils’ mathematics achievement according to the international project IPMA tests] . Koolimatemaatika [School Mathematics] , 34 : 35 – 42 .
   Google Scholar
• Palu , A. and Kikas , E. 2007a . “ Mathematical tasks causing difficulty for primary school students ” . In Teaching mathematics: Retrospective and perspectives , Edited by: Andžans , A. , Bonka , D. and Lace , G. 204 – 209 . Riga : University of Latvia/Macibu gramata . Proceedings of the 8th International Conference May 10–11, 2007
   Google Scholar
• Palu , A. and Kikas , E. 2007b . Primary school teachers’ beliefs about teaching mathematics . Nordic Studies in Mathematics Education , 12 : 5 – 21 .
   Google Scholar
• Passolunghi , M. , Mammarella , I. 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. and Siegel , L. 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
• Phillips , L. , Norris , S. and Osmond , W. 2002 . Relative reading achievement: A longitudinal study of 187 children from first through sixth grades . Journal of Educational Psychology , 94 : 3 – 13 .
   Web of Science ®Google Scholar
• Pihlap , S. , Veelmaa , A. , Tõnso , T. , Kiisel , H. , Lepmann , L. , Afanasjev , J. , Ojasoo , A. and Väljas , M. n.d. . Põhikooli matemaatika ain evaldkonna lähteülesanne [Basic school mathematics field primary objective] Retrieved 20 July, 2009, from https://www.oppekava.ee/matemaatika
   Google Scholar
• Pintrich , P.R. 1999 . The role of motivation in promoting and sustaining self‐regulated learning . International Journal of Educational Research , 31 : 459 – 470 .
   Google Scholar
• 2002 . Põhikooli ja gümnaasiumi riiklik õppekava [National curriculum for basic schools and upper secondary school] , Tallinn , , Estonia : Riigi Teataja Kirjastus .
   Google Scholar
• Rittle‐Johnson , B. , Siegler , R. and Alibali , M. 2001 . Developing conceptual understanding and procedural skill in mathematics: An iterative process . Journal of Educational Psychology , 93 : 346 – 362 .
   Web of Science ®Google Scholar
• Siegler , R. 2005 . Children’s learning . American Psychologist , 60 : 769 – 778 .
   PubMed Web of Science ®Google Scholar
• Skaalvik , E.M. 1997 . Self‐enhancing and self‐defeating ego orientation: Relations with task and avoidance orientation, achievement, self‐perceptions and anxiety . Journal of Educational Psychology , 89 : 71 – 81 .
   Web of Science ®Google Scholar
• Stipek , D.J. , Givvin , K.B. , Salmon , J.M. and MacGyvers , V.L. 2001 . Teachers’ beliefs and practices related to mathematics instruction . Teaching and Teacher Education , 17 : 213 – 226 .
   Web of Science ®Google Scholar
• 2006 . Tasemetööd 3. klass Retrieved May 24, 2008, from http://vana.ekk.edu.ee/statistika/tasemetqqd/tasemetood_3kl_%20analuus.pdf
   Google Scholar
• 2007 . Tasemetööd 3. klass Retrieved May 24, 2008, from http://www.ekk.edu.ee/vvfiles/0/3kl_tasemetood_2007.pdf
   Google Scholar
• Tatsuoka , K.K. , Corter , J.E. and Tatsuoka , C. 2004 . Patterns of diagnosed mathematical content and process skill in TIMSS‐R across a sample of 20 countries . American Educational Research Journal , 4 : 901 – 926 .
   Web of Science ®Google Scholar
• Trends in International Mathematics and Science Study (TIMMS) . n.d. . TIMMS 2003 results Retrieved 20 July, 2009, from http://nces.ed.gov/timss/results03.asp
   Google Scholar
• Van den Broeck , A. , Opdenakker , M.‐C. and Van Damme , J. 2005 . The effects of student characteristics on mathematics achievement in Flemish TIMSS 1999 Data . Educational Research and Evaluation , 11 : 107 – 121 .
   Google Scholar
• Walker , C.M. The effect of different pedagogical approaches on mathematics students’ achievement . Paper presented as the Annual Meeting of the American Educational Research Association . Montreal . April . Canada Retrieved May 28, 2007, from http://www.eric.ed.gov/ericdocs/data/ericdocs2sql/content_storage_01/0000019b/80/17/97/ef.pdf
   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
• Wolters , C.A. 2004 . Advancing achievement goal theory: Using goal structures and goal orientations to predict students’ motivation, cognition and achievement . Journal of Educational Psychology , 96 : 236 – 250 .
   Web of Science ®Google Scholar