ADDING OR SUBTRACTING FRACTIONS: RELATIVE EFFECTIVENESS OF THE LCM AND THE EQUIVALENT FRACTIONS METHODS

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ABSTRACT Concerns for the difficulties pupils and students face in the study of , fractions have been expressed by numerous researchers and mathematics educators in recent times. Some ofthese researchers and educators (Beardslee & Jerman, 1978; Bezuk, 1988; Cooney & Hirsh, 1990; Groff, 1994; Kinney, Marks & Purdy, 1965; Silvia, 1986) shared the view that fractions have traditionally been a source of difficulty for both children and adults, and gave various reasons for their claims. Kinney et ai, (J 965) contended that compared with the counting numbers, the historical development of a convenient notation for fractions was slow and algoritlun for computing with fractions were unwieldy. They noted that the recording offractional numbers by naming a pair ofwhole numbers and the J expression of a fractional number in an infinite number of ways could be some of the several sources of difficulty

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