Contrasting the cognitive effects of graphical and sentential logic teaching: Reasoning, representation and individual differences

Abstract Hyperproof is a computer program created by Barwise and Etchemendy (1994) for teaching logic using multimodal graphical and sententid representations. Elsewhere, we have proposed a theory of the cognitive impact of assigning information to different modalities. The theory predicts that Hyperproof's devices for graphical abstraction will play a pivotal role in determining learning outcomes. Here, the claims are tested by a controlled comparison of the effects of teaching undergraduate classes using Hyperproof and a traditional syntactic teaching method. The results indicate that there is significant transfer from the logic courses to a range of verbal reasoning problems. There are also significant interactions between theoretically motivated precourse aptitude measures and teaching methods, and these interactions influence post-course reasoning performance in transfer domains. As well as being theoretically significant, the results provide support for the important practical conclusion that indivi...

[1]  Herbert A. Simon,et al.  Why a Diagram is (Sometimes) Worth Ten Thousand Words , 1987 .

[2]  A. Tversky,et al.  Subjective Probability: A Judgment of Representativeness , 1972 .

[3]  Michael B. Twidale,et al.  Improving error diagnosis using intermediate representations , 1991 .

[4]  THE DEVELOPMENT, INVESTIGATION, AND EVALUATION OF NEW ITEM TYPES FOR THE GRE ANALYTICAL MEASURE , 1991 .

[5]  K. Jon Barwise,et al.  Heterogeneous Reasoning , 1993, International Conference on Conceptual Structures.

[6]  J. Koehler The Base Rate Fallacy Myth , 1993 .

[7]  Eugene G. Johnson,et al.  The Differential Impact of Curriculum on Aptitude Test Scores , 1990 .

[8]  Richard Cox,et al.  Proof styles in multimodal reasoning , 1996 .

[9]  Brad A. Myers,et al.  Taxonomies of visual programming and program visualization , 1990, J. Vis. Lang. Comput..

[10]  Spencer S. Swinton,et al.  A Study of the Effects of Special Preparation on GRE Analytical Scores and Item Types. , 1983 .

[11]  Donald E. Powers,et al.  The Relationship of Content Characteristics of GRE Analytical Reasoning Items to Their Difficulties and Discriminations , 1989 .

[12]  Merrie Bergmann,et al.  The Logic Book , 1980 .

[13]  Jon Oberlander,et al.  A cognitive theory of graphical and linguistic reasoning: logic and implementation. Cognitive Science , 1995 .

[14]  Richard Bornat,et al.  A Review of Several Programs for the Teaching of Logic , 1993, Comput. J..

[15]  P. Johnson-Laird,et al.  Mental Models: Towards a Cognitive Science of Language, Inference, and Consciousness , 1985 .

[16]  James R. Holder,et al.  Spatial Visualization in Solving Complex Verbal Problems. , 1969 .

[17]  Edward E. Smith,et al.  The Teaching of Thinking , 1985 .

[18]  Bonnie Grossen,et al.  Diagramming a Logic Strategy: Effects on Difficult Problem Types and Transfer , 1990 .