Abstract
116 Foundation Year Engineering Students, at the University of Technology, Lae, Papua New Guinea, were given a battery of mathematical and spatial tests; in addition, their preferred modes of processing mathematical information were determined by means of an instrument recently developed in Australia by Suwarsono.
Correlational analysis revealed that students who preferred to process mathematical information by verbal-logical means tended to outperform more visual students on mathematical tests. Multiple regression and factor analyses pointed to the existence of a distinct cognitive trait associated with the processing of mathematical information. Also, spatial ability and knowledge of spatial conventions had less influence on mathematical performance than could have been expected from recent relevant literature.
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References
Andrich, D.: 1975, ‘The Rasch multiplicative binomial model: Applications to attitude data’. Research report no. 1, Measurement and Statistics Library, Department of Education, University of Western Australia.
BarrattP. E.: 1953, ‘Imagery and thinking’, Australian Journal of Psychology 5, 154–164.
BishopA. J.: 1973, ‘Use of structural apparatus and spatial ability: a possible relationship’, Research in Education 9, 43–49.
Bishop, A. J.: 1978, ‘Spatial abilities in a Papua New Guinea context’, M.E.C. Report No. 2, Lae (P.N.G.) Mathematics Education Centre, University of Technology.
BishopA. J.: 1979, ‘Visualizing and mathematics in a pre-technological culture’, Educational Studies in Mathematics 10, 135–146.
BookS. A.: 1977, Statistics, New York, McGraw Hill.
CareyN.: 1915, ‘Factors in the mental processes of school children: I. Visual and auditory imagery’, British Journal of Psychology 7, 453–490.
ChildD.: 1979, The Essentials of Factor Analysis, London, Holt, Rinehart and Winston.
ClarkH. H.: 1969(a), ‘Linguistic processes in deductive reasoning’, Psychological Review 76, 387–404.
ClarkH. H.: 1969(b), ‘The influence of language in solving three-term series problems’, Journal of Experimental Psychology 82, 205–215.
ClarkH. H.: 1971, ‘More about ‘Adjectives, comparatives, and syllogisms’: A reply to Huttenlocher and Higgins’, Psychological Review 78, 505–514.
Clements, M. A. and Lean, G. A.: 1980, ‘Influence on mathematics learning in Community schools in Papua New Guinea: Some cross-cultural perspectives’, M.E.C. Report No. 13, Lae (P.N.G.) Mathematics Education Centre, University of Technology.
DeBothC. J. and DominowskiR. L.: 1978, ‘Individual differences in learning: Visual versus auditory presentation’, Journal of Educational Psychology 70, 498–503.
El Koussy, A. A. H.: 1935, ‘The visual perception of space’, British Journal of Psychology, Supplement No. xx.
EvansJ. ST. B. T.: 1980, ‘Thinking: Experiential and information processing approaches’, in G.Claxton (ed.), Cognitive Psychology-New Directions, London, Routledge and Kegan Paul.
FennemaE.: 1974, ‘Mathematics learning and the sexes: A review’, Journal for Research in Mathematics Education 5, 126–139.
FennemaE.: 1979, ‘Women and girls in mathematics-equity in mathematics education’, Educational Studies in Mathematics 10, 389–401.
GagneR. M. and WhiteR. T.: 1978, ‘Memory structures and learning outcomes’, Review of Educational Research 48, 187–222.
GuayR. B. and McDanielE. D.: 1977, ‘The relationship between mathematics achievement and spatial abilities among elementary school children’, Journal of Research in Mathematics Education 7, 211–215.
Guay, R. B., McDaniel, E. D. and Angelo, S.: 1978, ‘Analytic factor confounding spatial ability measurement’, in R.B. Guay and E. D. McDaniel, Correlates of Performance on Spatial Aptitude Tests, Purdue University, U.S. Army Research Institute for the Behavioural and Social Sciences.
HaberR. N. and HaberR. B.: 1964, ‘Eidetic imagery’, Perccptual and Motor Skills, 19, 131–138.
HadamardJ. S.: 1954, An Essay on the Psychology of Invention in the Mathematical Field, New York, Dover.
HarmanH. H.: 1970, Modern Factor Analysis, Chicago, University of Chicago Press.
HebbD. O.: 1972, Textbook of Psychology, Philadelphia, W. B. Saunders and Co.
HuttenlocherJ.: 1968, ‘Constructing spatial images: A strategy in reasoning’, Psychological Review 75, 550–560.
HuttenlocherJ. and HigginsE. T.: 1971, ‘Adjectives, comparatives and syllogisms’, Psychological Review 78, 487–504.
JensenA. R.: 1971, ‘Individual differences in visual and auditory memory’, Journal of Educational Psychology 62, 123–131.
Johnson-LairdP. N.: 1972, ‘The three-term series problem’, Cognition 1, 57–82.
KelleyT. L.: 1928, Crossroads in the Mind of Man, California, Stanford U.P.
KosslynS. M.: 1978, ‘Imagery and cognitive development: A teleological approach’, in R. S.Siegler (ed.), Children's Thinking: What Develops? New Jersey, Lawrence Elbaum Associates.
Krutetskii, V. A.: 1976, The Psychology of Mathematical Abilities in Schoolchildren, Chicago U.P. (Translated from Russion by J. Teller, edited by J. Kilpatrick and I. Wirszup.)
LinC. Y.: 1979, ‘Imagery in mathematical thinking and learning’, International Journal of Mathematics Education in Science and Technology 10, 107–111.
Lunzer, E. A.: 1965, ‘Problems of formal reasoning in test situations’, in P. H. Mussen (ed.), European research in cognitive development, Monograph of the Society for Research in Child Development 30, (2).
McGeeM. G.: 1979, ‘Human spatial abilities: Psychometric studies and environmental, genetic, hormonal, and neurological influences, Psychological Bulletin 86, 889–918.
McKellarP.: 1968, Experience and Behaviour, London, Penguin.
MenchinskayaN. A.: 1969, ‘Fifty years of Soviet instructional psychology’, in J.Kilpatric and I.Wirszup (eds.), Soviet Studies in the Psychology of Learning and Teaching Mathematics, Vol. 1., California, Stanford University (S.M.S.G.)
Mitchelmore, M. C.: 1974, ‘The perceptual development of Jamaican students with special reference to visualization and drawing of three-dimensional figures and the effects of spatial training’, Ph.D. dissertation, Ohio State University.
Moses, B. E.: 1977, ‘The nature of spatial ability and its relationship to mathematical problem solving’, PhD. dissertation, Indiana University.
Moses, B. E.: 1980, ‘The relationship between visual thinking tasks and problem-solving performance’, Unpubl. paper presented at the annual meeting of the American Education Research Association, Boston.
NeisserU.: 1967, Cognitive Psychology, New York, Appleton-Century-Crofts.
NieN. H. HullC. H., JenkinsJ. C., SteinbrennerK. and BentD. H. (eds.): 1975, Statistical Package for the Social Science, (2nd edition), New York, McGraw-Hill.
PaivioA.: 1971, Imagery and Verbal Processes, New York, Holt, Rinehart and Winston.
PaivioA.: 1973, ‘Psychophysiological correlates of imagery’, in F. J.McGuigan and R. A.Schoonover (eds.), The Psychophysiology of Thinking, New York, Academic Press.
PaivioA.: 1978, ‘A dual coding approach to perception and cognition’, in H. L.Pick and E.Saltzman (eds.), Modes of Perceiving and Processing Information, New Jersey, Lawrence Elbaum Associates.
PoincareH.: 1963, Mathematics and Science: Last Essays, New York, Dover.
PylyshynZ. W.: 1973, ‘What the mind's eye tells the mind's brain: A critique of visual imagery’, Psychological Bulletin 80, 1–24.
Radatz, H.: 1979, ‘Error analysis in Mathematics Education’, Journal for Research in Mathematics Education 10, (3).
RavenJ. S.: 1938, Standard Progressive Matrices, Melbourne, A.C.E.R.
RichardsonA.: 1969, Mental Imagery, London, Routledge and Kegan Paul.
RichardsonA.: 1977, ‘Verbalizer-visualizer, a cognitive style dimension’, Journal of Mental Imagery 1, 109–126.
RosenthalD. A.: 1977, ‘Solving three-term series problems: A comparison of two stages of cognitive development’, Australian Journal of Psychology 29, 195–202.
Sherman, J.: 1979, ‘Women and mathematics: Summary of Research from 1977–1979’, NIE grant, final report. University of Wisconsin at Madison.
SiipolaE. M. and HaydenS. D.: 1965, ‘Exploring eidetic imagery among the retarded’, Perceptual and Motor Skills 21, 275–286.
Smith, I. M.: (undated), Manual of Instructions for Spatial Test EG, London, N.F.E.R.
SmithI. M.: 1964, Spatial Ability, London, Univ. of London Press.
SmithI. M.: 1972, ‘Spatial ability and mental imagery’, in The Psychology of Mathematics Education, London, Chelsea College (Univ. of London).
StreetR. E.: 1931, A Gestalt Completion Test, New York Teachers' College, Columbia.
SwansonL.: 1978, ‘Verbal encoding effects on the visual short-term memory of learning disabled and normal readers’, Journal of Educational Psychology 70, 539–544.
ThurstoneL. L.: 1938, Primary Mental Abilities, Chicago, University of Chicago Press.
TwymanA.: 1972, ‘Imagery and Mathematical activity’, in The Psychology of Mathematics Education, London, Chelsea College (University of London).
WalterW. G.: 1963, The Living Brain, New York, W. W. Norton and Co.
Watts, A. F., Pidgeon, D. A. and Richards, M. K. B.: (undated), Manual of Instructions for Spatial Test II, London, N.F.E.R.
WebbN. L.: 1979, ‘Processes, conceptual knowledge and mathematical problem-solving ability’, Journal for Research in Mathematics Education 10, 83–93.
WoodD., SchotterJ. and GoddenD.: 1974, ‘An investigation of the relationships between problem solving strategies’, Quarterly Journal of Experimental Psychology 26, 252–257.
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Lean, G., Clements, M.A.(. Spatial ability, visual imagery, and mathematical performance. Educ Stud Math 12, 267–299 (1981). https://doi.org/10.1007/BF00311060
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DOI: https://doi.org/10.1007/BF00311060