Breaking new ground in the mind: an initial study of mental brittle transformation and mental rigid rotation in science experts
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Abstract
The current study examines the spatial skills employed in different spatial reasoning tasks, by asking how science experts who are practiced in different types of visualizations perform on different spatial tasks. Specifically, the current study examines the varieties of mental transformations. We hypothesize that there may be two broad classes of mental transformations: rigid body mental transformations and non-rigid mental transformations. We focus on the disciplines of geology and organic chemistry because different types of transformations are central to the two disciplines: While geologists and organic chemists may both confront rotation in the practice of their profession, only geologists confront brittle transformations. A new instrument was developed to measure mental brittle transformation (visualizing breaking). Geologists and organic chemists performed similarly on a measure of mental rotation, while geologists outperformed organic chemists on the mental brittle transformation test. The differential pattern of skill on the two tests for the two groups of experts suggests that mental brittle transformation and mental rotation are different spatial skills. The roles of domain general cognitive resources (attentional control, spatial working memory, and perceptual filling in) and strategy in completing mental brittle transformation are discussed. The current study illustrates how ecological and interdisciplinary approaches complement traditional cognitive science to offer a comprehensive approach to understanding the nature of spatial thinking.
Keywords
Mental brittle transformation Mental rotation Ecological approach STEM Expertize Rigid body Non-rigidNotes
Acknowledgments
This research was supported in part by a grant to the Spatial Intelligence and Learning Center, funded by the National Science Foundation (grant numbers SBE-0541957 and SBE-1041707), and by a Fostering Interdisciplinary Research on Education grant, funded by the National Science Foundation (grant number DRL-1138619). The authors wish to thank Chris Shilling for help constructing the stimuli; Carol Ormand, Cathy Manduca, and Basil Tikoff for their insights into reasoning about deformations in geology; and all the experts who volunteered their time to participate in this research.
References
- Atit, Shipley, Tikoff (2013) Twisting space: are rigid and non-rigid mental transformations separate spatial skills? Cogn Process Spat Learn Reason ProcessGoogle Scholar
- Carroll J (1993) Human cognitive abilities: a survey of factor analytic studies. Cambridge University Press, New YorkCrossRefGoogle Scholar
- Chase WG, Simon HA (1973) Perception in Chess. Cogn Psychol 4:55–81CrossRefGoogle Scholar
- Chatterjee A (2008) The neural organization of spatial thought and language. Semin Speech Lang 29:226–238PubMedCrossRefGoogle Scholar
- Cohen J (1988) Statistical power analysis for the behavioral sciences, 2nd edn. Erlbaum, Hillsdale, NJGoogle Scholar
- Ekstrom RB, French JW, Harman H, Derman D (1976) Kit of factor-referenced cognitive tests. Educational Testing Service, Princeton, NJGoogle Scholar
- Eliot JC, Smith IM (1983) An international directory of spatial tests. NFER-Nelson, Windsor, EnglandGoogle Scholar
- Ericsson KA, Simon HA (1993) Protocol analysis: verbal reports as data, rev edn. MIT Press, Cambridge, MAGoogle Scholar
- Ericsson KA, Smith J (1991) Prospects and limits of the empirical study of expertise: an introduction. In: Ericsson KA, Smith J (eds) Toward a general theory of expertise: prospects and limits. Cambridge University Press, Cambridge, pp 1–39Google Scholar
- Gibson JJ (1979) The ecological approach to visual perception. Houghton, BostonGoogle Scholar
- Gibson EJ, Spelke ES (1983) The development of perception. In: Mussen P, Flavell JH, Markman E (eds) Handbook of child psychology, vol 3. Wiley, New YorkGoogle Scholar
- Gibson EJ, Walker AS (1984) Development of knowledge of visual-tactual affordances of substances. Child Dev 55:453–460Google Scholar
- Gibson EJ, Owsley CJ, Johnston J (1978) Perception of invariants by five-month-old infants: differentiation of two types of motion. Dev Psychol 14(4):407–415Google Scholar
- Harris J, Hirsh-Pasek K, Newcombe N (2013) Understanding spatial transformations: similarities and differences between mental rotation and mental folding. Cogn Process Spat Learn Reason ProcessGoogle Scholar
- Hegarty M, Waller D (2004) A dissociation between mental rotation and perspective-taking spatial abilities. Intelligence 32:175–191CrossRefGoogle Scholar
- Hegarty M, Waller DA (2005) Individual differences in spatial abilities. In: Shah P, Miyake A (eds) The Cambridge handbook of visuospatial thinking. Cambridge University Press, New York, NY, pp 121–169CrossRefGoogle Scholar
- Hegarty M, Crookes R, Dara-Abrams D, Shipley TF (2010) Do all science disciplines rely on spatial abilities? Preliminary evidence from self-report questionnaires. In: Hoelscher C, Shipley TF, Bateman J, Olivetti M, Newcombe N (eds) Spatial cognition VII. Springer, Berlin, pp 85–94CrossRefGoogle Scholar
- Hutchins E (1996) Cognition in the wild. A Bradford Book. Massachusetts Institute of Technology, CambridgeGoogle Scholar
- Jones MG, Taylor A (2009) Developing a sense of scale: looking backward. J Res Sci Teach 46(4):460–475CrossRefGoogle Scholar
- Kellman PJ, Shipley TF (1991) A theory of visual interpolation in object perception. Cogn Psychol 23:141–221PubMedCrossRefGoogle Scholar
- Kozhevnikov M, Hegarty M, Mayer RE (2002) Revising the visualizer-verbalizer dimension: evidence for two types of visualizers. Cogn Instr 20:47–77CrossRefGoogle Scholar
- Kucera H, Francis WN (1967) Computational analysis of present-day American english. Brown University press, ProvidenceGoogle Scholar
- Linn MC, Petersen AC (1985) Emergence and characterization of sex differences in spatial ability: a meta-analysis. Child Dev 56(6):1479–1498PubMedCrossRefGoogle Scholar
- Lohman DF (1979) Spatial ability: a review and reanalysis of the correlational literature (Technical Report No. 8). School of Education, Stanford University, Stanford, CAGoogle Scholar
- Lohman DF (1988) Spatial abilities as traits, processes and knowledge. In: Stermberg RJ (ed) Advances in the psychology of human intelligence, vol 4. Erlbaum, Hillsdale, NJ, pp 181–248Google Scholar
- Malvern LE (1969) Introduction to the mechanics of a continuous medium. Prentice-Hall, Englewood Cliffs, NJGoogle Scholar
- Markman A, Gentner D (1993) Splitting the differences: a structural alignment view of similarity. J Mem Lang 32:517–535CrossRefGoogle Scholar
- McGee MG (1979) Human spatial abilities: psychometric studies and environmental, genetic, hormonal, and neurological influences. Psychol Bull 86:899–918CrossRefGoogle Scholar
- Newcombe N, Shipley TF (2012) Thinking about spatial thinking: new typology, new assessments. In: Gero JS (ed) Studying visual and spatial reasoning for design creativity. Springer, BerlinGoogle Scholar
- Piaget J, Inhelder B (1956) The child’s conception of space. Routledge & Kegan Paul, LondonGoogle Scholar
- Scolari M, Vogel EK, Awh E (2008) Perceptual expertise enhances the resolution but not the number of representations in working memory. Psychon Bull Rev 15(1):215–222PubMedCrossRefGoogle Scholar
- Shea DL, Lubinski D, Benbow CP (2001) Importance of assessing spatial ability in intellectually talented young adolescents: a 20-year longitudinal study. J Educ Psychol 93(3):604–614CrossRefGoogle Scholar
- Shepard RN (1988) The role of transformations in spatial cognition. In: Stiles-Davis J, Kritchevsky M, Bellugi U (eds) Spatial cognition: brain bases and development. Lawrence Erlbaum Associates, Inc, Hillsdale, NJGoogle Scholar
- Shepard RN, Metzler J (1971) Mental rotation of three-dimensional objects. Science 171:701–703PubMedCrossRefGoogle Scholar
- Shipley TF, Zacks J (2008) Understanding events: from perception to action. Oxford University Press, New York, NYCrossRefGoogle Scholar
- Sims VK, Mayer RE (2002) Domain specificity of spatial expertise: the case of video game players. Appl Cogn Psychol 16:97–115CrossRefGoogle Scholar
- Snodgrass JG, Feenan K (1990) Printing effects in picture fragment completion: support for the perceptual closure hypothesis. J Exp Psychol Gen 119:276–296Google Scholar
- Snodgrass JG, Vanderwart M (1980) A standardized set of 260 pictures: norms for name agreement, image agreement, familiarity, and visual complexity. J Exp Psychol Hum Learn 6(2):174–215Google Scholar
- Spelke ES (1982) Perceptual knowledge of objects in infancy. In: Mehler J, Garrett M, Walker E (eds) Perspectives on mental representation. Erlbaum, HillsdaleGoogle Scholar
- Stieff M (2007) Mental rotation and diagrammatic reasoning in science. Learn Instru 17(2):219–234CrossRefGoogle Scholar
- Stieff M, Raje S (2008) Expertise and spatial reasoning in advanced scientific problem solving. In: Proceedings of the eighth international conference of the learning sciences. Erlbaum, Mahwah, NJ, pp 366–373Google Scholar
- Thurstone LL (1950) Some primary abilities in visual thinking (Rep. no. 59). Psychometric Laboratory, University of Chicago, Chicago, ILGoogle Scholar
- Todd J (1982) Visual information about rigid and nonrigid motion: a geometric analysis. J Exp Psychol Hum Percept Perform 8(2):238–252PubMedCrossRefGoogle Scholar
- Unsworth N, Heitz RP, Schrock JC, Engle RW (2005) An automated version of the operation span task. Behav Res Methods 37:498–505PubMedCrossRefGoogle Scholar
- Uttal D, Cohen C (2012) Spatial thinking and STEM education: when, why, and how? Psychol Learn Motiv 57:147–181Google Scholar
- Uttal D, Meadow N, Tipton E, Hand L, Alden A, Warren C, Newcombe N (in press) The malleability of spatial skills: a meta-analysis of training studies. Psychol BullGoogle Scholar
- Vandenberg SG, Kuse AR (1978) Mental rotations, a group test of three-dimensional spatial visualization. Percept Mot Skills 47:599–604PubMedCrossRefGoogle Scholar
- Wai J, Lubinski D, Benbow CP (2009) Spatial ability for STEM domains: aligning over fifty years of cumulative psychological knowledge solidifies its importance. J Educ Psychol 101(4):817–835. doi: 10.1037/a0016127 CrossRefGoogle Scholar
- Waters AJ, Gobet F (2008) Mental imagery and chunks: empirical and computational findings. Mem Cogn 36:506–517CrossRefGoogle Scholar
- Zacks J, Hazeltine E, Tversky B, Gabrieli JDE (1999) Event-related fMRI of mental spatial transformations. In: Paper presented at the annual meeting of the cognitive neuroscience society. Washington, DCGoogle Scholar