Learning from equations or words

A series of four experiments was designed to study the cognitive load consequences of learning from equations, as compared to words. Cognitive load theory suggests that some instructional procedures require learners to engage in cognitive activities solely because of the manner in which information is presented rather than because of intrinsic characteristics of the material. As a consequence, a heavy extraneous cognitive load that interferes with learning may be imposed. It is suggested that in studying equations with unfamiliar notations, a heavy extraneous cognitive load is generated because mental integration of notations and meanings is required. The results of Experiment 1 supported this suggestion. Experiment 2 found that when an equation format involves simple equations and familiar notations, it is more effective than an equivalent verbal format which requires substantial reading. Experiment 3 showed that when the use of notations becomes automated after extended practice and thus reduces the extraneous cognitive load required to mentally integrate notations and meanings, an equation format can be more effective than a verbal format. Experiment 4 indicated that supplementing a concise equation format with extensive verbal information does not assist learning, because processing the extensive verbal information induces a heavy cognitive load which creates redundancy effects. It was concluded that the efficacy of equations or words may depend, in part, on their cognitive load consequences.