Fractions as a measure
Wong, M. & Evans, D. (2008). Fractions as a measure. 2 597-603. Australia: Mathematics Education Research Group of Australasia. Retrieved from http://www.merga.net.au/documents/RP722008.pdf
Simultaneous co-ordination of the referent unit, symbolic notation and pictorial representations are one aspect of understanding fractions as a measure. The notion that students must identify the referent unit, fractional parts of the referent unit, and apply it as an accurate method of measurement was investigated. Using different types of pictorial representations, students were required to represent the quantity being measured and conversely, identify the quantity represented. Four questions from a larger study that used fractions as a measure were examined. Nine students were interviewed to gain further insight into their thinking on these questions and their misconceptions identified.
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