Tasks to assess children's perception of the size of a fraction

Behr MJ, Post TR, Wachsmuth I (1984)
In: Theory, research and practice in mathematical education: 5th International Congress on Mathematical Education, Adelaide, South Australia, August 1984. Bell A (Ed);Nottingham: Shell Centre for Mathematical Education, University of Nottingham: 179-185.

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Bell, Alan
Abstract
The question of how children perceive the "bigness" of rational numbers is of importance. Addition of fractions like1/3 and 3/5 does not make sense to a child without a quantitative notion of each addend. In order for children to perceive the size of a fraction, it seems necessary that they perceive the ordered pair such as 3/4; as one conceptual entity. This note describes, and summarizes results from several tasks the Rational Number Project has used to investigate children's perception of fractions, and especially of the size of a fraction. The Rational Number Project has involved fourth- and fifth-grade children in extensive teaching experiments. The teaching milieu of these experiments is especially manipulative rich, concept oriented, and involves small groups of children.
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Behr MJ, Post TR, Wachsmuth I. Tasks to assess children's perception of the size of a fraction. In: Bell A, ed. Theory, research and practice in mathematical education: 5th International Congress on Mathematical Education, Adelaide, South Australia, August 1984. Nottingham: Shell Centre for Mathematical Education, University of Nottingham; 1984: 179-185.
Behr, M. J., Post, T. R., & Wachsmuth, I. (1984). Tasks to assess children's perception of the size of a fraction. In A. Bell (Ed.), Theory, research and practice in mathematical education: 5th International Congress on Mathematical Education, Adelaide, South Australia, August 1984 (pp. 179-185). Nottingham: Shell Centre for Mathematical Education, University of Nottingham.
Behr, M. J., Post, T. R., and Wachsmuth, I. (1984). “Tasks to assess children's perception of the size of a fraction” in Theory, research and practice in mathematical education: 5th International Congress on Mathematical Education, Adelaide, South Australia, August 1984, ed. A. Bell (Nottingham: Shell Centre for Mathematical Education, University of Nottingham), 179-185.
Behr, M.J., Post, T.R., & Wachsmuth, I., 1984. Tasks to assess children's perception of the size of a fraction. In A. Bell, ed. Theory, research and practice in mathematical education: 5th International Congress on Mathematical Education, Adelaide, South Australia, August 1984. Nottingham: Shell Centre for Mathematical Education, University of Nottingham, pp. 179-185.
M.J. Behr, T.R. Post, and I. Wachsmuth, “Tasks to assess children's perception of the size of a fraction”, Theory, research and practice in mathematical education: 5th International Congress on Mathematical Education, Adelaide, South Australia, August 1984, A. Bell, ed., Nottingham: Shell Centre for Mathematical Education, University of Nottingham, 1984, pp.179-185.
Behr, M.J., Post, T.R., Wachsmuth, I.: Tasks to assess children's perception of the size of a fraction. In: Bell, A. (ed.) Theory, research and practice in mathematical education: 5th International Congress on Mathematical Education, Adelaide, South Australia, August 1984. p. 179-185. Shell Centre for Mathematical Education, University of Nottingham, Nottingham (1984).
Behr, Merlyn J., Post, Thomas R., and Wachsmuth, Ipke. “Tasks to assess children's perception of the size of a fraction”. Theory, research and practice in mathematical education: 5th International Congress on Mathematical Education, Adelaide, South Australia, August 1984. Ed. Alan Bell. Nottingham: Shell Centre for Mathematical Education, University of Nottingham, 1984. 179-185.
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