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Title

REDEFINING THE WHOLE: COMMON ERRORS IN ELEMENTARY PRESERVICE TEACHERS' SELF-AUTHORED WORD PROBLEMS FOR FRACTION SUBTRACTION.

Authors

Dixon, Juli K.; Andreasen, Janet B.; Avila, Cheryl L.; Bawatneh, Zyad; Deichert, Deana L.; Howse, Tashana D.; Turner, Mercedes Sotillo

Abstract

A goal of this study was to examine elementary preservice teachers' (PSTs) ability to contextualize and decontextualize fraction subtraction by asking them to write word problems to represent fraction subtraction expressions and to choose prewritten word problems to support given fraction subtraction expressions. Three themes emerged from the data: (a) subtraction problems were represented by an incorrect redefinition of the whole; (b) the type of unit chosen for the whole (e.g. cups, gallons, pounds vs. pizzas, pies) influenced the success of PSTs in representing Separate (Result Unknown) context problems for subtraction; and (c) the structure of the problem influenced PSTs' performance in writing subtraction word problems.

Subjects

MATHEMATICS teachers; MATHEMATICS students; MATHEMATICS education; SUBTRACTION (Mathematics); ERROR rates

Publication

Investigations in Mathematics Learning, 2014, Vol 7, Issue 1, p1

ISSN

1947-7503

Publication type

Academic Journal

DOI

10.1080/24727466.2014.11790336

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