Alternative representations for algebraic problem solving: When are graphs better than equations?

Abstract

Successful algebraic problem solving entails adaptability of solution methods using differentrepresentations. Prior research has suggested that students are more likely to prefer symbolicsolution methods (equations) over graphical ones, even when graphical methods should bemore efficient. However, this research has not tested how representation format might affectsolution success, and whether the efficiency of solution varies depending on the nature ofthe problem solving task. This study addressed the question of whether symbolic or graphicalrepresentation format provides different affordances with respect to two different typesof problems: computation and interpretation. Graphical representation was found to facilitateproblem solving among college students, and problems that required the comparisonof slopes were more difficult when presented in a symbolic format than in graphical format.