Young Children Solving Partitive Division Tasks

Ema Mamede, Amália Silva


This paper focuses on young children’s understanding of partitive division when discrete quantities are involved. The study analyses how young children understand the inverse divisor-quotient relationship when the dividend is the same. The participants were 30 kindergarten children (4-5-years-old) from Braga, Portugal. Individual interviews were conducted when solving tasks involving the division of 12 and 24 discrete quantities by 2, 3 and 4 recipients. Results showed that children have some ideas of division, they can estimate for the quotient when the divisor varies and the dividend is constant. Educational implications of these results are discussed for kindergarten activities.


kindergarten children, partitive division tasks

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Correa, J., Nunes, T. & Bryant, P.: 1998, Young Children’s Understanding of Division: The Relationship between Division Terms in a Noncomputational Task, Journal of Educational Psychology, 90, 321-329.

Cowan, R., & Biddle, S.: 1989, Children’s understanding of one – to – one correspondence in the context of sharing, Education Psychology, Vol. 9, No2, 133-140.

Desforges, A., & Desforges, C.: 1980, Number-based strategies of sharing in young children, Educational Studies, 6, 97-109.

Frydman, O., & Bryant, P.: 1988, Sharing and understanding of number equivalence by young children, Cognitive Development, 3, 323-339.

Kornilaki, E., & Nunes, T.: 2005, Generalizing Principles in Spite of Procedural Differences: Children’s understanding of division, Cognitive Development, 20, 388-406.

Nunes, T.: 1992, Ethnomathematics and everyday cognition, in: Handbook of research on mathematics teaching and learning, D.A. Grouws Editor, pp.557-574.

Nunes, T., & Bryant, P.: 1997, Crianças Fazendo Matemática. Porto Alegre: Editora Artes Médicas.

Pepper, K., & Hunting, R.: 1998, Preschoolers’ Counting and Sharing, Journal for Research in Mathematics Education, Vol. 29, no 2, 164–183.

Piaget, J. & Szeminska, A.: 1971, A génese do número. Translated by Cristiano M. Oiticica. 3a Edição. Rio de Janeiro, Zahar.

Squire, S., & Bryant, P.: 2002, The influence of sharing on children’s initial concept of division, Journal of Experimental Child Psychology, 81, 1–43.

Categories: 2013, Articles - JETEN, Mathematics Education

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