Number line representations of fractions

Behr MJ, Bright GW, Wachsmuth I (1982)
In: Proceedings of the Fourth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Wagner S (Ed);Athens, Ga.: Univ. of Georgia: 106-112.

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Conference Paper | Published | English
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Wagner, Sigrid
Abstract
The study explored students' interpretations of representations of fractions on number lines and the effect of instruction on those interpretations. Subjects were five fourth-graders, and instruction was a four-day unit on the use of number lines. A 16-item, multiple-choice pre- and posttest was used along with videotaped interviews. Performance improved except when students had to associate a reduced fraction symbol with an equivalent, unreduced fraction representation on a number line. The difficulty at ''unpartitioning'' a representation suggests that care needs to be given to developing a concept of equivalent fractions. Further, translations among various models of fraction might foster better performance.
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Behr MJ, Bright GW, Wachsmuth I. Number line representations of fractions. In: Wagner S, ed. Proceedings of the Fourth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Athens, Ga.: Univ. of Georgia; 1982: 106-112.
Behr, M. J., Bright, G. W., & Wachsmuth, I. (1982). Number line representations of fractions. In S. Wagner (Ed.), Proceedings of the Fourth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 106-112). Athens, Ga.: Univ. of Georgia.
Behr, M. J., Bright, G. W., and Wachsmuth, I. (1982). “Number line representations of fractions” in Proceedings of the Fourth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, ed. S. Wagner (Athens, Ga.: Univ. of Georgia), 106-112.
Behr, M.J., Bright, G.W., & Wachsmuth, I., 1982. Number line representations of fractions. In S. Wagner, ed. Proceedings of the Fourth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Athens, Ga.: Univ. of Georgia, pp. 106-112.
M.J. Behr, G.W. Bright, and I. Wachsmuth, “Number line representations of fractions”, Proceedings of the Fourth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, S. Wagner, ed., Athens, Ga.: Univ. of Georgia, 1982, pp.106-112.
Behr, M.J., Bright, G.W., Wachsmuth, I.: Number line representations of fractions. In: Wagner, S. (ed.) Proceedings of the Fourth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. p. 106-112. Univ. of Georgia, Athens, Ga. (1982).
Behr, Merlyn J., Bright, George W., and Wachsmuth, Ipke. “Number line representations of fractions”. Proceedings of the Fourth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Ed. Sigrid Wagner. Athens, Ga.: Univ. of Georgia, 1982. 106-112.
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