Individual Differences in Graphical Reasoning

People sometimes appear to represent graphical information by analogy to space. In this paper we consider the extent to which the tendency to represent information by analogy to space calls on spatial resources. We also examine whether people who represent graphical information spatially also represent numerical information using a spatial number line. Forty-eight adult participants carried out a series of graphical reasoning, number judgement and spatial working memory tasks. Evidence was found to suggest that people were forming spatial representations in both the number judgement and graphical reasoning tasks. Performance on the spatial memory task was positively associated with a measure of the tendency to use spatial representations on the graph task. In addition, measures of the use of spatial representations for the graph and number tasks were associated. We interpret our results as providing further evidence that people often represent graphical information by analogy to space. We conclude with a discussion of whether the use of such spatial representations is confined to any one task or is instead a general representational strategy employed by people high in spatial ability.

[1]  G. R. Potts Information Processing Strategies Used in the Encoding of Linear Orderings. , 1972 .

[2]  A. Garnham,et al.  Thinking and Reasoning , 1994 .

[3]  Robert H. Logie,et al.  Syllogistic Reasoning Tasks, Working Memory, and Skill , 1999 .

[4]  S. Dehaene,et al.  The mental representation of parity and number magnitude. , 1993 .

[5]  Herbert H. Clark,et al.  Linguistic processes in deductive reasoning. , 1969 .

[6]  A. Vandierendonck,et al.  Working Memory Constraints on Linear Reasoning with Spatial and Temporal Contents , 1997, The Quarterly journal of experimental psychology. A, Human experimental psychology.

[7]  S. Dehaene,et al.  Abstract representations of numbers in the animal and human brain , 1998, Trends in Neurosciences.

[8]  Vincent Walsh A theory of magnitude: common cortical metrics of time, space and quantity , 2003, Trends in Cognitive Sciences.

[9]  Robert H. Ennis The Psychology of Deduction , 1983 .

[10]  Ian Dennis,et al.  Working memory and reasoning: An individual differences perspective , 2003 .

[11]  M. Hegarty,et al.  Individual differences in mental animation during mechanical reasoning , 1994, Memory & cognition.

[12]  Aidan Feeney,et al.  Analogical Representation and Graph Comprehension , 2003, Smart Graphics.

[13]  Don Steinberg,et al.  Deductive reasoning , 1989 .

[14]  S. Handel,et al.  Social reasoning and spatial paralogic. , 1965, Journal of personality and social psychology.

[15]  Wouter Duyck,et al.  Conditional reasoning with a spatial content requires visuo-spatial working memory , 2003 .

[16]  Lara Webber,et al.  How people represent and reason from graphs , 2003 .

[17]  Susan Bell Trickett,et al.  A New Model of Graph and Visualization Usage , 2001 .

[18]  Priti Shah,et al.  A Model of the Perceptual and Conceptual Processes in Graph Comprehension , 1998 .

[19]  A. Miyake,et al.  The separability of working memory resources for spatial thinking and language processing: an individual differences approach. , 1996, Journal of experimental psychology. General.

[20]  P N Johnson-Laird,et al.  Deductive reasoning. , 1999, Annual review of psychology.

[21]  D. Kirsh,et al.  Proceedings of the 25th annual conference of the Cognitive Science Society , 2003 .

[22]  Marcus Giaquinto,et al.  What Cognitive Systems Underlie Arithmetical Abilities , 2001 .

[23]  John M. Findlay,et al.  How People Extract Information from Graphs: Evidence from a Sentence-Graph Verification Paradigm , 2000, Diagrams.

[24]  K. C. Klauer Working Memory Involvement in Propositional and Spatial Reasoning , 1997 .

[25]  Steven Pinker,et al.  A theory of graph comprehension. , 1990 .

[26]  Jonathan Evans,et al.  Human Reasoning: The Psychology Of Deduction , 1993 .

[27]  ROBERT S. MOYER,et al.  Time required for Judgements of Numerical Inequality , 1967, Nature.

[28]  Mary Hegarty,et al.  Capacity Limits in Diagrammatic Reasoning , 2000, Diagrams.

[29]  G. R. Potts,et al.  The internal representation of a three-term series problem , 1975 .

[30]  Merideth Leigh Gattis,et al.  Spatial schemas and abstract thought , 2001 .

[31]  Roy O. Freedle,et al.  Artificial Intelligence and the Future of Testing , 1990 .

[32]  Volker Haarslev,et al.  Theory and Application of Diagrams , 2003, Lecture Notes in Computer Science.

[33]  Earl Hunt,et al.  Individual Differences in the Verification of Sentence-Picture Relationships , 1978 .

[34]  S. Dehaene,et al.  THREE PARIETAL CIRCUITS FOR NUMBER PROCESSING , 2003, Cognitive neuropsychology.

[35]  Padraic Monaghan,et al.  Proceedings of the 23rd annual conference of the cognitive science society , 2001 .

[36]  J. Gregory Trafton,et al.  Turning pictures into numbers: extracting and generating information from complex visualizations , 2000, Int. J. Hum. Comput. Stud..

[37]  Stephen E. Newstead,et al.  Individual differences in strategies for syllogistic reasoning , 2003 .

[38]  E John,et al.  A Process Model of Human Transitive Inference , 2001 .