The emergence of additive composition of number

Educational Psychology

Volumn 18, Issue 4, 1998, Pages 377-389

  Martins‐Mourão, Antonio ^a   Cowan, Richard ^a  

^a UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85011046924     PISSN: 01443410     EISSN: 14695820     Source Type: Journal    
DOI: 10.1080/0144341980180402     Document Type: Article

References (19)

1. Aubrey, C., 1993. An investigation of the mathematical competencies which young children bring into school,. British Educational Research Journal, 19: 19–27.
2. Baroody, A.J., and Gannon, K.E., 1984. The development of the commutativity principle and economical addition strategies,. Cognition and Instruction, 1: 321–339.
3. Carpenter, T.P., and Moser, J.M., 1982. “ The acquisition of addition and subtraction concepts ”. In Acquisition of Mathematics Concepts and Processes, Edited by: Lesh, R., and Landau, M., 7–44. New York: Academic Press.
4. Carraher, T.N., 1985. “ The decimal system: understanding and notation ”. In Proceedings of the Ninth International Conference for the Psychology of Mathematical Education, Edited by: Streefland, L., Vol. 1, 288–303. Utrecht: The Netherlands, University of Utrecht, Research Group on Mathematics Education and Computer Center.
5. Carraher, T.N., and Schliemann, A., 1990. “ Knowledge of the numeration system among pre‐schoolers ”. In Transforming Children's Mathematics Education ‐‐ international perspectives, Edited by: Steffe, L., and Wood, T., 135–141. Hillsdale: NJ Lawrence Erlbaum associates.
6. Davydov, V.V., 1969. “ On the formation of an elementary concept of number by the child ”. In Soviet Studies in the Psychology of Learning and Teaching Mathematics, Edited by: Wilson, J., Vol. 13, 24–32. University of Chicago.
7. Fuson, K.C., 1988. Children's Counting and Concepts of Numbers, New York: Springer Verlag.
8. Fuson, K.C., 1990. Conceptual structures for multiunit numbers: implications for learning and teaching multidigit addition, subtraction and place value,. Cognition and Instruction, 7: 343–403.
9. Fuson, K.C., Richards, J., and Briars, D.J., 1982. “ The Acquisition And Elaboration Of The Number Word Sequence ”. In Children's Logical and Mathematical Cognition, Edited by: Brainerd, C.J., 33–92. New York: Springer‐Verlag.
10. Grimsburg, H.P., 1977. Children's Arithmetic: the learning process, New York: Van Nostrand.
11. Karmiloff‐Smith, A., 1995. Beyond Modularity, a developmental perspective on cognitive science, Cambridge, MA: MIT Press.
12. Martins‐Mourão, A., and Cowan, R., 1997. “ Precursors of additive composition of number ”. In Proceedings of the 21st Conference of the International Group for the Psychology of Mathematics Education, Edited by: Pehkonen, E., Vol. 1, 246Lahti, Finland: University of Helsinki, Lahti Research and Training Center.
13. Nunes, T., and Bryant, P., 1996. Children Doing Mathematics, Oxford: Blackwell.
14. Resnick, L.B., 1983. “ A developmental theory of number understanding ”. In The Development of Mathematical Thinking, Edited by: Ginsburg, H.P., 109–151. New York: Academic Press.
15. Resnick, L.B., 1986. “ The development of mathematical intuition ”. In Perspectives on Intellectual Development: Minnesota Symposia on Child Psychology, Edited by: Perlumutter, M., Vol. 19, Hillsdale, NJ: Lawrence Erlbaum Associates.
16. Riley, M.S., and Greeno, J.G., 1988. Developmental analysis of understanding language about quantities and solving problems,. Cognition and Instruction, 5: 49–101.
17. Riley, M.S., Greeno, J.G., and Heller, J.I., 1983. “ Development of children's problem solving ability in arithmetic ”. In The Development of Mathematical Thinking, Edited by: Ginsburg, H., 153–196. New York: Academic Press.
18. Secada, W.G., Fuson, K.C., and Hall, J.W., 1983. The transition from counting‐all to counting‐on in addition,. Journal for Research in Mathematics Education, 14: 47–57.
19. Siegler, R.S., and JENKINS, E.A., 1989. How Children Discover New Strategies, Hillsdale, NJ: Lawrence Erlbaum Associates.