Solving problem situations of the multiplicative conceptual field: the relational and numeric calculus
DOI:
https://doi.org/10.5007/1981-1322.2017v12n2p82Abstract
We introduce the results of a study whose objective wasto identifythe difficulties the students from the sixth grade of Junior High School have about the relational and numeric calculusin solving Problem Situations of the Multiplicative Conceptual field (MCF). This study is based on Vergnaud Theory of Conceptual fields (1990). Among the methodological procedures, a hundred fifty students from Recife’s Public school have been required to answer five Problem Situations. Two of Quarternary relation (simple proportion) and three of ternary relation (multiplicative comparison and measure product). The results indicate a great number of scores in Problem situations of the axis Simple proportion, while the Problem situations of the axis Multiplicative comparison (search for the referent) and the axis Measure products (combinatory) have been the ones the students showed more difficulties to answer. In general, the difficulties of the students have been bigger in the relational calculus than in numeric.
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