Mathematical thinking intervention programmes for preschool children with normal and low number sense

European Journal of Special Needs Education

Volumn 20, Issue 2, 2005, Pages 131-146

  Aunio, Pirjo ^a   Hautamäki, Jarkko ^a   Van Luit, Johannes E H ^b  

^a UNIVERSITY OF HELSINKI   (Finland)

^b UTRECHT UNIVERSITY   (Netherlands)

Author keywords

Average performing; Intervention; Low performing; Mathematical thinking; Number sense; Preschoolers

Indexed keywords

ARITHMETIC; ARTICLE; CLINICAL ARTICLE; COGNITION; COGNITIVE DEVELOPMENT; CONCEPT FORMATION; CONFIDENCE INTERVAL; CONTROLLED STUDY; EDUCATION PROGRAM; FOLLOW UP; HUMAN; INTELLIGENCE QUOTIENT; LEARNING; MENTAL CAPACITY; MENTAL DEFICIENCY; MENTAL PERFORMANCE; PRESCHOOL CHILD; PRIORITY JOURNAL; RATING SCALE; SCORING SYSTEM; STATISTICAL SIGNIFICANCE; TEACHING;

EID: 17844406415     PISSN: 08856257     EISSN: None     Source Type: Journal    
DOI: 10.1080/08856250500055578     Document Type: Article

References (38)

1. Adey, P. (1997) CASE, Cognitive acceleration through science in education, in: J. H. M. Hamers & M. Th. Overtoom (Eds) Teaching thinking in Europe: inventory of European programmes (Utrecht, Sardes), 175-178.
2. Adey, P., Robertson, A. & Venville, G. (2001) Let's think! A programme for developing thinking in five and six year olds (Windsor, NFER-NELSON).
3. Adey, P., Robertson, A. & Venville, G. (2002) Effects of a cognitive acceleration programme on Year 1 pupils, British Journal of Educational Psychology, 72(1), 1-5.
4. Bryant, P. (1996) Children and arithmetic, in: L. Smith (Ed.) Critical readings on Piaget (London, Routledge), 312-346.
5. Bryant, P. & Nunes, T. (2002) Children's understanding of mathematics, in: U. Goswami (Ed.) Blackwell handbook of childhood cognitive development (Malden, Blackwell), 412-439.
6. Case, R. (1996) Reconceptualizing the nature of children's conceptual structures and their development in middle childhood, in R. Case & Y. Okamoto (Eds) The role of central conceptual structures in the development of children's thought, Monographs of the Society for Research in Child Development, 61(1-2), 1-26.
7. Case, R. & Okamoto, Y. (Eds) (1996) The role of central conceptual structures in the development of children's thought, Monographs of the Society for Research in Child Development, 61(1-2), 246.
8. Cooper, H., Charlton, K., Valentine, J. C. & Muhlenbruck, L. (2000) Making the most of summer school: a meta-analytic and narrative review, Monographs of the Society for Research in Child Development 65(1), 260.
9. Davenport, P. & Howe, C. (1999) Conceptual gain and successful problem-solving in primary school mathematics, Educational Studies, 25(1), 55-78.
10. Fraivillig, J. L., Murphy, L. A. & Fuson, K. C. (1999) Advancing children's mathematical thinking in Every Day Mathematics classrooms, Journal for Research in Mathematics Education, 30(2), 148-170.
11. Fuson, K. C. (1988) Children's counting and concept of number (New York, Springer Verlag).
12. Fuson, K. C., Carrol, W. M. & Drueck, J. V. (2000) Achievement results for second and third graders using the standards-based curriculum Every Day Mathematics, Journal for Research in Mathematics Education, 31(3), 277-295.
13. Fuson, K. C., Smith, S. T. & Lo Cicero, A. M. (1997) Supporting Latino first graders' ten structured thinking in urban classrooms, Journal for Research in Mathematics Education, 28(6), 738-760.
14. Galperin, P. (1969) Stages in the development of mental acts, in: M. Cole & I. Maltzman (Eds) A handbook of contemporary Soviet psychology (New York, Basic Books), 249-273.
15. Gelman, R. & Gallistel, C. (1978) The child's understanding of number (Cambridge, MA, Harvard University Press).
16. Griffin, S. (2003) The development of math competence in the preschool and early school years, in: J. M. Royer (Ed.) Mathematical cognition (Greenwich, CN, Information Age), 1-32.
17. Griffin, S. & Case, R. (1998) Re-thinking the primary school math curriculum: an approach based on cognitive science, Issues in Education, 4(1), 1-51.
18. Hamers, J. H. M. & Overtoom, M. Th. (Eds) (1997) Teaching thinking in Europe: inventory of European programmes (Utrecht, Sardes).
19. Hosenfeld, B., Van den Boom, D. C. & Resing, W. C. M. (1997) Constructing geometric analogies for the longitudinal testing of elementary school children, Journal of Educational Measurement, 34(4), 367-372.
20. Kaufmann, L., Handl, P. & Thöny, B. (2003) Evaluation of a numeracy intervention program focusing on basic numerical knowledge and conceptual knowledge: a pilot study, Journal of Learning Disabilities 36(6), 564-573.
21. Kroesbergen, E. H. & Van Luit, J. E. H. (2003) Mathematics interventions for children with special educational needs, Remedial and Special Education, 24(2), 97-114.
22. Pasnak, R. & Madden, S. (1996) Persistence of gains from instruction in classification, seriation, and conservation, Journal of Educational Research, 90(2), 87-92.
23. Peters, S. (1998) Playing games and learning mathematics: the results of two intervention studies, International Journal of Early Years Education, 6(1), 49-58.
24. Piaget, J. (1965) The child's conception of number (New York, Norton).
25. Piaget, J. & Inhelder, B. (1974) The child's construction of quantities (London, Routledge & Kegan Paul).
26. Piaget, J. & Inhelder, B. (1976) The child's conception of space (London, Routledge & Kegan Paul).
27. Shayer, M. & Wylam, H. (1978) The distribution of Piagetian stages of thinking in British middle and secondary school children, II: 14-16-year-olds and sex differentials, British Journal of Educational Psychology, 48(1), 62-70.
28. Smith, L. (2002) Reasoning by mathematical induction in children's arithmetic (Oxford, Pergamon Press).
29. Sophian, C. (1998) A developmental perspective on children's counting, in: C. Donlan (Ed.) The development of mathematical skills (Hove, Psychology Press), 27-46.
30. Van Luit, J. E. H. & Schopman, E. (1998) Als speciale kleuter tel je ook mee! Voorbereidende rekenacriviteiten voor kleuters met een ontwikkelingsachterstand [Young children with special educational needs count, too! Early mathematics activities for young children with special educational needs] (Utrecht, Graviant).
31. Van Luit, J. E. H. & Schopman, E. A. M. (2000) Improving early numeracy of young children with special educational needs, Remedial and Special Education, 21(1), 27-40.
32. Van Luit, J. E. H., Van de Rijt, B. A. M. & Aunio, P. (2003) Early numeracy test, Finnish edition [Lukukäsitetesti] (Helsinki, Psykologien kustannus).
33. Van Luit, J. E. H., Van de Rijt, B. A. M. & Pennings, A. H. (1994) Utrechtse Gatalbegrip Toets, UGT [Early numeracy test] (Doetinchem. Graviant).
34. Van de Rijt, B. A. M., Van Luit, J. E. H. & Pennings, A. H. (1999) The construction of the Utrecht Early mathematical competence scale, Educational and Psychological Measurement, 59, 289-309.
35. Venville, G., Adey, P., Larkin, S. & Robertson, A. (2003) Fostering thinking through science in the early years of schooling, International Journal of Science Education, 25(11), 1313-1331.
36. Vygotsky, L. S. (1978) Mind in society (Cambridge, MA, MIT Press).
37. Wechsler, D. (1995) Wechsler preschool and primary school scale of intelligence, Finnish edition (Helsinki, Psykologien kustannus).
38. Wertheimer, M. (1971) Productive thinking (New York, Harper & Row).