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

Educational Psychology

Volumn 29, Issue 5, 2009, Pages 541-560

  Kikas, Eve ^a,b   Peets, Kätlin ^c   Palu, Anu ^a   Afanasjev, Jüri ^a  

^a UNIVERSITY OF TARTU   (Estonia)

^b TALLINN UNIVERSITY   (Estonia)

^c UNIVERSITY OF TURKU   (Finland)

Author keywords

Academic achievement; Maths; Primary; Teaching practices

Indexed keywords

EID: 77951879224     PISSN: 01443410     EISSN: 14695820     Source Type: Journal    
DOI: 10.1080/01443410903118499     Document Type: Article

References (77)

1. Ackerman, D.B. (2003). Synthesize traditional and progressive education for today’s students. Education Digest, 68, 4-11.
2. 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.
3. Aunola, K., Nurmi, J.-E., Lerkkanen, M.-K., & Rasku-Puttonen, H. (2003). The roles of achievement-related behaviours and parental beliefs in children’s mathematical performance. Educational Psychology, 23, 403-422.
4. Azmitia, M. (1996). Peer interactive minds: Developmental, theoretical, and methodological issues. In P. Baltes & U. Staudinger (Eds.), Interactive minds: Life-span perspectives on the social foundation of cognition (pp. 133-162). Cambridge, UK: Cambridge University Press.
5. Berliner, D.C. (1994). Expertise: The wonder of exemplary performances. In J.N. Mangieri & C.C. Block (Eds.), Creating powerful thinking in teachers and students (pp. 161-186). Fort Worth, TX: Harcourt Brace College.
6. Bull, R., Espy, K.A., & 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.
7. Burchinal, M., Peisner-Feinberg, E., Pianta, R., & 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.
8. Campbell, J., Kyriakides, L., Muijs, D., & Robinson, W. (2004). Assessing teacher effectiveness: Developing a differentiated model. New York: Routledge Falmer.
9. 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
10. Clotfelter, C.T., Ladd, H.F., & Vigdor, J.L. (2007). Teacher credentials and student achievement: Longitudinal analysis with student fixed effects. Economics of Education Review, 26, 673-682.
11. Crown, W.D. (1990). Assessment of mathematics ability. In C.R. Reynolds & R.W. Kamphaus (Eds.), Handbook of psychological and educational assessment of children: Intelligence and achievement (pp. 504-522). New York: Guilford Press.
12. Delgado, A., & Prieto, G. (2004). Cognitive mediators and sex-related differences in mathematics. Intelligence, 32, 25-32.
13. Dionne, J. (1984). The perception of mathematics among elementary school teachers. In J. Moser (Ed.), Proceeding of the Sixth Annual Meeting of the PMENA (pp. 223-228). Madison, WI: University of Wisconsin.
14. Duncan, T., Duncan, S., & Strycker, L. (2006). An introduction to latent variable growth curve modeling: Concepts, issues, and applications (2nd ed.). Mahwah, NJ: Lawrence Erlbaum Associates.
15. Elliot, A.J., & McGregor, H.A. (2001). A 2 × 2 achievement goal framework. Journal of Personality and Social Psychology, 80, 501-519.
16. Fuchs, L., Fuchs, D., Compton, D., Schatschneider, C., Powell, S., Seethaler, P., et al. (2006). The cognitive correlates of third-grade skill in arithmetic, algorithmic computation, and arithmetic word problems. Journal of Educational Psychology, 98, 29-43.
17. Galloway, D., Leo, E., & 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.
18. Geary, D.C. (1994). Children’s mathematical development: Research and practical applications. Washington, DC: American Psychological Association.
19. Geary, D., Brown, S., & 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.
20. Guan, J., McBride, R., & 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.
21. Hale, J.B., Fiorello, C.A., Kavanaugh, J.A., Hoeppner, J.B., & Gaitherer, R.A. (2001). WISCIII predictors of academic achievement for children with learning disabilities: Are global and factor scores comparable? School Psychology Quarterly, 16, 31-35.
22. Halpern, D., Benbow, C., Geary, D., Gur, R., Hyde, J., & Gernsbacher, M. (2007). The science of sex differences in science and mathematics. Psychological Science in the Public Interest, 8, 1-51.
23. Handal, B. (2003). Teacher’s mathematical beliefs: A review. The Mathematics Educator, 13, 47-57.
24. Hermans, R., van Braak, J., & 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.
25. Hu, L., & Bentler, P.M. (1998). Fit indices in covariance structure modeling: Sensitivity to underparameterized model misspecification. Psychological Methods, 3, 424-453.
26. IPMA coordinators’ manual (n.d.). Retrieved May 12, 2009, from http://www.cimt.plymouth.ac.uk/projects/ipma/coordman.pdf
27. IPMA tests (n.d.). Retrieved May 12, 2009, from http://www.cimt.plymouth.ac.uk/projects/ipma/default.htm
28. Jordan, N.C., Kaplan, D., & 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.
29. Kaplan, A., Middleton, M.J., Urdan, T., & Midgley, C. (2002). Achievement goals and goal structures. In C. Midgley (Ed.), Goals, goal structures and patterns of adaptive learning (pp. 21-53). Mahwah, New Jersey: Lawrence Erlbaum Associates.
30. Kaufman, A., & Kaufman, N. (1983). K-ABC: Kaufman Assessment Battery for children: Interpretive manual. Circle Pines, MN: American Guidance Service.
31. Kenney-Benson, G.A., Pomerantz, E.M., Ryan, A.M., & Patrick, H. (2006). Sex differences in math performance: The role of children’s approach to schoolwork. Developmental Psychology, 42, 11-26.
32. Kikas, E., Männamaa, M., Kumari, V., & 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.
33. 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
34. Kline, R.B. (2005). Principles and practice of structural equation modeling (2nd ed.). New York: Guilford Press.
35. Krutetskii, V.A. (1976). The psychology of mathematical abilities in schoolchildren. Chicago: University of Chicago Press.
36. Lachance, J.A., & 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.
37. Leondari, A., & Gialamas, V. (2002). Implicit theories, goal orientations, and perceived competence: Impact of students’ achievement behavior. Psychology in the Schools, 39, 79-91.
38. Lepmann, L. (1998). Changes in teacher’s mathematical conceptions in 1990-1997. In T. Breitag & G. Brekke (Eds.), Theory into practice in mathematics education: Proceedings of Norma 98 (Agder College Research Series No. 13, pp. 179-185). Kristiansand, Norway: Faculty of Mathematics and Sciences, Agder College.
39. Lepmann, L. (2004). Science teachers’ conceptions of teaching and of the content as factors influencing the curriculum. Koolimatemaatika [School Mathematics], 31, 12-17.
40. Lerkkanen, M.-K., Rasku-Puttonen, H., Aunola, K., & Nurmi, J.-E. (2005). Mathematical performance predicts progress in reading comprehension among 7-year olds. European Journal of Psychology of Education, 20, 121-137.
41. Luyten, H., Cremers-van Wees, L., & Bosker, R. (2003). The Matthew effect in Dutch primary education: Differences between schools, cohorts and pupils. Research Papers in Education, 18, 167-195.
42. Männamaa, M., Kikas, E., & Raidvee, A. (2008). The effect of testing condition on word guessing in elementary school children. Journal of Psychoeducational Assessment, 26, 16-26.
43. 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
44. McGregor, H., & Elliot, A. (2002). Achievement goals as predictors of achievement-relevant processes prior to task engagement. Journal of Educational Psychology, 94, 381-395.
45. Meijnen, G.W., Lagerweij, N.W., & de Jong, P.F. (2003). Instruction characteristics and cognitive achievement of young children in elementary school. School Effectiveness and School Improvement, 14, 159-187.
46. Middleton, M.J., & Midgley, C. (1997). Avoiding the demonstration of lack of ability: An underexplored aspect of goal theory. Journal of Educational Psychology, 89, 710-718.
47. Midgley, C., Kaplan, A., & 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.
48. Midgley, C., Maehr, M.L., Hruda, L.Z., Anderman, E., Anderman, L., Freeman, K.E., et al. (2000). Manual for the Patterns of Adaptive Learning Scales (PALS). Ann Arbor: University of Michigan.
49. Mooij, T., & Driessen, G. (2008). Differential ability and attainment in language and arithmetic of Dutch primary school pupils. British Journal of Educational Psychology, 78, 491-506.
50. Mullis, I.V.S., Martin, M.O., & 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 (pp. 53-62). Chestnut Hill, MA: TIMSS & PIRLS International Study Center, Boston College. http://timss.bc.edu/PDF/t03_download/T03MCOGDRPT.pdf
51. Mythén, L.K., & Mythén, B.O. (1998-2007). Mplus user’s guide (5th ed.). Los Angeles, CA: Muthén & Múthén.
52. Nunes, T., Bryant, P., & Evans, D. (2007). The contribution of logical reasoning to the learning of mathematics in primary school. British Journal of Developmental Psychology, 25, 147-166.
53. Onatsu-Arvilommi, T, & 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.
54. Onatsu-Arvilommi, T, Nurmi, J.-E., & Aunola, K. (2002). The development of achievement strategies and academic skills during the first year of primary school. Learning and Instruction, 12, 509-527.
55. Paas, F., Renkl, A., & Sweller, J. (2003). Cognitive load theory and instructional design: Recent developments. Educational Psychologist, 38, 1-4.
56. Pajares, F., Britner, S.L., & Valiante, G. (2000). Relation between achievement goals and self-beliefs of middle school students in writing and science. Contemporary Educational Psychology, 25, 406-422.
57. Palu, A., Afanasjev, J., & 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.
58. Palu, A., & Kikas, E. (2007a). Mathematical tasks causing difficulty for primary school students. In A. And[zcaron]ans, D. Bonka, & G. Lace (Eds.), Teaching mathematics: Retrospective and perspectives (pp. 204-209). Proceedings of the 8th International Conference May 10-11, 2007. Riga: University of Latvia/Macibu gramata.
59. Palu, A., & Kikas, E. (2007b). Primary school teachers’ beliefs about teaching mathematics. Nordic Studies in Mathematics Education, 12, 5-21.
60. Passolunghi, M., Mammarella, I., & Altoè, G. (2008). Cognitive abilities as precursors of the early acquisition of mathematical skills during first through second grades. Developmental Neuropsychology, 33, 229-250.
61. Passolunghi, M., & Siegel, L. (2004). Working memory and access to numerical information in children with disability in mathematics. Journal of Experimental Child Psychology, 88, 348-367.
62. Phillips, L., Norris, S., & Osmond, W. (2002). Relative reading achievement: A longitudinal study of 187 children from first through sixth grades. Journal of Educational Psychology, 94, 3-13.
63. Pihlap, S., Veelmaa, A., Tõnso, T., Kiisel, H., Lepmann, L., Afanasjev, J., Ojasoo, A., & 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
64. Pintrich, P.R. (1999). The role of motivation in promoting and sustaining self-regulated learning. International Journal of Educational Research, 31, 459-470.
65. Põhikooli ja gümnaasiumi riiklik õppekava [National curriculum for basic schools and upper secondary school]. (2002). Tallinn, Estonia: Riigi Teataja Kirjastus.
66. Rittle-Johnson, B., Siegler, R., & Alibali, M. (2001). Developing conceptual understanding and procedural skill in mathematics: An iterative process. Journal of Educational Psychology, 93, 346-362.
67. Siegler, R. (2005). Children’s learning. American Psychologist, 60, 769-778.
68. 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.
69. Stipek, D.J., Givvin, K.B., Salmon, J.M., & MacGyvers, V.L. (2001). Teachers’ beliefs and practices related to mathematics instruction. Teaching and Teacher Education, 17, 213-226.
70. Tasemetööd 3. klass. (2006). Retrieved May 24, 2008, from http://vana.ekk.edu.ee/statistika/tasemetqqd/tasemetood_3kl_%20analuus.pdf
71. Tasemetööd 3. klass. (2007). Retrieved May 24, 2008, from http://www.ekk.edu.ee/vvfiles/0/3kl_tasemetood_2007.pdf
72. Tatsuoka, K.K., Corter, J.E., & 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.
73. 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
74. Van den Broeck, A., Opdenakker, M.-C., & Van Damme, J. (2005). The effects of student characteristics on mathematics achievement in Flemish TIMSS 1999 Data. Educational Research and Evaluation, 11, 107-121.
75. Walker, C.M. (1999, April). The effect of different pedagogical approaches on mathematics students’ achievement. Paper presented as the Annual Meeting of the American Educational Research Association, Montreal, Canada. Retrieved May 28, 2007, from http://www.eric.ed.gov/ericdocs/data/ericdocs2sql/content_storage_01/0000019b/80/17/97/ef.pdf
76. Wilson, K.M., & Swanson, H.L. (2001). Are mathematics disabilities due to a domaingeneral or a domain-specific working memory deficit? Journal of Learning Disabilities, 34, 237-248.
77. 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.