Skip to main content
Log in

Learning and expertise with scientific external representations: an embodied and extended cognition model

  • Published:
Phenomenology and the Cognitive Sciences Aims and scope Submit manuscript

Abstract

This paper takes an embodied and extended cognition perspective to ER integration – a cognitive process through which a learner integrates external representations (ERs) in a domain, with her internal (mental) model, as she interacts with, uses, understands and transforms between those ERs. In the paper, I argue for a theoretical as well as empirical shift in future investigations of ER integration, by proposing a model of cognitive mechanisms underlying the process, based on recent advances in extended and embodied cognition. I present this new model in contrast to the still dominant classical cognitivist (information processing) approaches to ER integration, and the educational technology intervention designs such approaches inspire. I then exemplify this distinction between the information processing model and the new model through a case of arithmetic problem solving. Corroborative neuroscience evidence presented in relation to this case provides empirical support for the new model by showing how bodily actions (sensorimotor mechanisms) are critical to ER integration and learning. Finally, as educational implications of the new model, I demonstrate the need for: (i) re-viewing the development of ER integration and expertise as fine-tuning of the learner's action or sensorimotor system, and (ii) a shift of focus in new-media intervention design principles based on this newer understanding of ER integration in science, technology, engineering and mathematics.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3

Notes

  1. The action-perception-expertise loop is not new in cognitive science (e.g. see Glenberg et al. 2013 for a detailed review largely in the context of language reading and comprehension). However, reviews reveal that it is yet to percolate in STEM education, specifically in the context of ER integration and conceptual learning. This paper is an attempt to adoptively revise the models of ER integration in STEM.

  2. Extended cognition is different in focus from distributed cognition, which is more of a systemic perspective examining cognition as emerging out of complex interactions between various components of a distributed system such as socio-material-technical ecologies (e.g. airplanes, ships; Hutchins 1995).

  3. Common coding is different from the more radical anti-representationalist embodied cognition perspectives such as enactivism and dynamical systems theories (see Noë 2004; Riva 2006; Thelen and Smith 1994; Van Gelder and Port 1995).

  4. For instance, to perform an action as simple as picking up an object, the sensorimotor system integrates: the current state or posture of the body, spatial relations between the body and the object, previous experiences of the object, expected feedback or ‘consequences’ of touching the object or the action of picking it up, control and regulation of the body movement, through the information coming from the skin, muscles and joints, vestibular system, the motor plan of the action, anticipatory adjustments of the posture and body parts and movements in relation to the motor plan and the position of the object (see Machado et al. 2010).

  5. That said, it is still not clear, from a phenomenological stance, as to how the sensorimotor neural basis of ER-related expertise is linked to experiencing instances of that expertise in tasks (Noë 2004). Also uncertain are if and how the phenomenological and neural processes are looped together. It would also perhaps be interesting for future interdisciplinary and multi-faceted domain-expertise research to investigate how language in a domain (e.g. ‘scientific’ language, ‘language of mathematics’; Tall 2013), social and peer interaction dynamics in STEM domains, among other coexisting and interacting dimensions in the STEM learning and practice world affect ER integration and expertise.

References

  • Abrahamson, D. (2019). A New World: Educational Research on the Sensorimotor Roots of Mathematical Reasoning. In A. Shvarts (Ed.), Proceedings of the PME and Yandex Russian conference: Technology and Psychology for Mathematics Education (pp. 48–68). Moscow: HSE Publishing House.

    Google Scholar 

  • Abrahamson, D., & Sánchez-García, R. (2016). Learning Is Moving in New Ways: The Ecological Dynamics of Mathematics Education. Journal of the Learning Sciences, 25(2), 203–239.

    Google Scholar 

  • Ainsworth, S. (2006). DeFT: A conceptual framework for considering learning with multiple representations. Learning and Instruction, 16(3), 183–198.

    Google Scholar 

  • Baddeley, A., Allen, R., & Hitch, G. (2011). Binding in visual working memory: The role of the episodic buffer. Neuropsychologia, 49(6), 1393–1400.

    Google Scholar 

  • Barner, D., Alvarez, G., Sullivan, J., Brooks, N., Srinivasan, M., & Frank, M. C. (2016). Learning mathematics in a visuospatial format: A randomized, controlled trial of mental abacus instruction. Child Development, 87(4), 1146–1158.

    Google Scholar 

  • Barsalou, L. (2008). Grounded Cognition. Annual Review of Psychology, 59(1), 617–645.

    Google Scholar 

  • Barsalou, L. W. (2010). Introduction to 30th anniversary perspectives on cognitive science: Past, present, and future. Topics in Cognitive Science, 2(3), 322–327.

    Google Scholar 

  • Battista, M. T. (2003). Understanding students’. In thinking about area and volume measurement. Learning and teaching measurement (pp. 122–142).

  • Bodner, G. M., & Domin, D. S. (2000). Mental models: The role of representations in problem solving in chemistry. University Chemistry Education, 4(1).

  • Borar, P., Karnam, D., Agrawal, H., & Chandrasekharan, S. (2017). Augmenting the Textbook for Enaction: Designing Media for Participatory Learning in Classrooms. In IFIP Conference on Human-Computer Interaction (pp. 336–339). Springer, Cham.

  • Braithwaite, D. W., Goldstone, R. L., van der Maas, H. L. J., & Landy, D. H. (2016). Non-formal mechanisms in mathematical cognitive development: The case of arithmetic. Cognition, 149, 40–55.

    Google Scholar 

  • Çelik, D., & Sağlam-Arslan, A. (2012). The Analysis of Teacher Candidates’ Translating Skills in Multiple Representations. Elementary Education Online, 11(1), 239–250.

  • Chandrasekharan, S. (2009). Building to discover: a common coding model. Cognitive Science, 33(6), 1059–1086.

    Google Scholar 

  • Chandrasekharan, S. (2014). Becoming knowledge: Cognitive and neural mechanisms that support scientific intuition. Rational Intuition: Philosophical Roots, Scientific Investigations, 307–337.

  • Chandrasekharan, S., & Nersessian, N. J. (2015). Building Cognition: The Construction of Computational Representations for Scientific Discovery. Cognitive Science, 39(8), 1727–1763.

    Google Scholar 

  • Chandrasekharan, S., & Osbeck, L. (2010). Rethinking Situatedness. Theory & Psychology, 20(2), 171–207.

    Google Scholar 

  • Chen, F., Hu, Z., Zhao, X., Wang, R., Yang, Z., Wang, X., & Tang, X. (2006). Neural correlates of serial abacus mental calculation in children: A functional MRI study. Neuroscience Letters, 403(1), 46–51.

    Google Scholar 

  • Chi, M. T., Feltovich, P. J., & Glaser, R. (1981). Categorization and representation of physics problems by experts and novices. Cognitive Science, 5(2), 121–152.

    Google Scholar 

  • Chi, M. T. H., Glaser, R., & Farr, M. J. (1988). The nature of expertise. Hillsdale: Lawrence Erlbaum.

    Google Scholar 

  • Clark, A. (1999). An embodied cognitive science? Trends in Cognitive Sciences, 3(9), 345–351.

    Google Scholar 

  • Clark, A., & Chalmers, D. (1998). The extended mind. Analysis, 58(1), 7–19.

    Google Scholar 

  • Cook, M., Wiebe, E. N., & Carter, G. (2008). The influence of prior knowledge on viewing and interpreting graphics with macroscopic and molecular representations. Science Education, 92(5), 848–867.

    Google Scholar 

  • Danish, J.A., Enyedy, N., Saleh, A., Lee, C. and Andrade, A. (2015). Science Through Technology Enhanced Play: Designing to Support Reflection Through Play and Embodiment. Proceedings of the 11th International Conference on Computer Supported Collaborative Learning (CSCL2015) (2015), 332–339.

  • de Freitas, E., & Sinclair, N. (2014). Mathematics and the body: Material entanglements in the classroom. Cambridge: Cambridge University Press.

    Google Scholar 

  • de Groot, A. (1978). Thought and choice in chess. The Hague: Mouton. (Original work published 1946.)

  • DeWolf, M., Son, J. Y., Bassok, M., & Holyoak, K. J. (2017). Relational Priming Based on a Multiplicative Schema for Whole Numbers and Fractions. Cognitive Science. https://doi.org/10.1111/cogs.12468.

  • Dickes, A. C., Sengupta, P., Farris, A. V., & Basu, S. (2016). Development of Mechanistic Reasoning and Multilevel Explanations of Ecology in Third Grade Using Agent-Based Models. Science Education. Retrieved from http://onlinelibrary.wiley.com/doi/10.1002/sce.21217/full

  • Enyedy, N., Danish, J.A., Delacruz, G. and Kumar, M. (2012). Learning physics through play in an augmented reality environment. International Journal of Computer- Supported Collaborative Learning. 7, 3 (Jul. 2012), 347–378.

  • Ericsson, K. A., & Ward, P. (2014). Capturing the naturally occurring superior performance of experts in the laboratory: Toward a science of expert and exceptional performance. Current Directions in Psychological Science, 16, 346–350.

    Google Scholar 

  • Fiore, S. (2019). Integrating Theorizing on Embodied, Enactive, Extended, and Embedded Cognition to Augment CSCL Research, Keynote Talk at the 13th International Conference on Computer-Supported Collaborative Learning (CSCL), International Society of the Learning Sciences (ISLS), Lyon, France.

  • Frank, M. C., & Barner, D. (2012). Representing exact number visually using mental abacus. Journal of Experimental Psychology: General, 141(1), 134–149. https://doi.org/10.1037/a0024427.

    Article  Google Scholar 

  • Gegenfurtner, A., Lehtinen, E., & Säljö, R. (2011). Expertise Differences in the Comprehension of Visualizations: a Meta-Analysis of Eye-Tracking Research in Professional Domains. Educational Psychology Review, 23(4), 523–552.

    Google Scholar 

  • Gilmartin, K. J., Newell, A., & Simon, H. A. (1976). A program modeling short-term memory under strategy control. The structure of human memory, 15–30.

  • Glenberg, A., Witt, J., & Metcalfe, J. (2013). From the Revolution to Embodiment: 25 Years of Cognitive Psychology. Perspectives on Psychological Science, 8(5), 573–585.

    Google Scholar 

  • Gooding, D. C. (2006). From Phenomenology to Field Theory: Faraday’s Visual Reasoning. Perspectives on Science: Historical, Philosophical, Social, 14(1), 40–65.

    Google Scholar 

  • Hanakawa, T., Honda, M., Okada, T., Fukuyama, H., & Shibasaki, H. (2003). Neural correlates underlying mental calculation in abacus experts: A functional magnetic resonance imaging study. NeuroImage, 19(2), 296–307.

    Google Scholar 

  • Hegarty, M. (2004). Dynamic visualizations and learning: Getting to the difficult questions. Learning and Instruction, 14(3), 343–351.

    Google Scholar 

  • Henderson, J. M., & Ferreira, F. (2004). Scene Perception for Psycholinguists. In J. M. Henderson & F. Ferreira (Eds.), The interface of language, vision, and action: Eye movements and the visual world (pp. 1–58). New York: Psychology Press.

    Google Scholar 

  • Hinton, M. E., & Nakhleh, M. B. (1999). Students’ microscopic, macroscopic, and symbolic representations of chemical reactions. Chemical Educator. https://doi.org/10.1007/s00897990325a.

  • Hutchins, E. (1995). How a Cockpit Remembers Its Speeds. Cognitive Science, 19(3), 265–288.

    Google Scholar 

  • Hutchins, E. (2014). The cultural ecosystem of human cognition. Philosophical Psychology, 27(1), 34–49.

    Google Scholar 

  • Irwin, D. E. (2004). Fixation location and fixation duration as indices of cognitive processing. The Interface of Language, Vision, and Action: Eye Movements and the Visual World, 217, 105–133.

    Google Scholar 

  • James, W. (1890). The perception of reality. Principles of Psychology, 2, 283–324.

    Google Scholar 

  • Johnson-Glenberg, M. C. (2018). Immersive VR and Education: Embodied Design Principles That Include Gesture and Hand Controls. Frontiers in Robotics and AI, 5, 81. https://doi.org/10.3389/frobt.2018.00081.

    Article  Google Scholar 

  • Johnson-Laird, P. N. (1983). Mental Models. Cambridge: Harvard University Press.

    Google Scholar 

  • Johnstone, A. H. (1982). Macro and microchemistry. School Science Review, 64(227), 377–379.

    Google Scholar 

  • Johnstone, A. H. (1991). Why is science difficult to learn? Things are seldom what they seem. Journal of Computer Assisted Learning, 7(2), 75–83.

    Google Scholar 

  • Johnstone, A. H. (1997). Chemistry teaching, science or alchemy? Journal of Chemical Education, 7, 262–268.

    Google Scholar 

  • Johri, A., Roth, W., & Olds, B. (2013). The Role of Representations in Engineering Practices: Taking a Turn towards Inscriptions. Journal of Engineering Education, 102(1), 2–19.

    Google Scholar 

  • Kamii, C., & Kysh, J. (2006). The difficulty of “length× width”: Is a square the unit of measurement? The Journal of Mathematical Behavior, 25(2), 105–115.

    Google Scholar 

  • Karnam, D., Agrawal, H., Mishra, D., & Chandrasekharan, S. (2016). Interactive vectors for model-based reasoning. In W. Chen, T. Supnithi, A. F. Mohd Ayub, M. Mavinkurve, T. Kojiri, W. Chen, J. Yang, S. Murthy, S. L. Wong & S. Iyer. (Eds.), Proceedings of the 24th international conference on computers in education (pp. 401–406). Mumbai, India: Asia-Pacific Society for Computers in Education.

  • Kellman, P. J., & Garrigan, P. (2009). Perceptual learning and human expertise. Physics of Life Reviews, 6(2), 53–84.

    Google Scholar 

  • Kirsh, D. (2010). Thinking with external representations. AI & Society, 25(4), 441–454.

    Google Scholar 

  • Kirsh, D., & Maglio, P. (1994). On Distinguishing Epistemic from Pragmatic Action. Cognitive Science, 18(4), 513–549.

    Google Scholar 

  • Kirshner, D., & Awtry, T. (2004). Visual Salience of Algebraic Transformations. Journal for Research in Mathematics Education, 35(4), 224–257.

    Google Scholar 

  • Kohl, P. B., & Finkelstein, N. D. (2008). Patterns of multiple representation use by experts and novices during physics problem solving. Physical Review Special Topics - Physics Education Research, 4(1), 010111.

    Google Scholar 

  • Kothiyal, A., Majumdar, R., Pande, P., Agarwal, H., Ranka, A., & Chandrasekharan, S. (2014). How does representational competence develop? Explorations using a fully controllable interface and eye-tracking. In Proceedings of the 22nd international conference on computers in education(pp. 738–743). Nara, Japan: Asia-Pacific Society for Computers in Education.

  • Kozma, R. (2003). The material features of multiple representations and their cognitive and social affordances for science understanding. Learning and Instruction, 13(2), 205–226.

    Google Scholar 

  • Kozma, R., & Russell, J. (1997). Multimedia and understanding: Expert and novice responses to different representations of chemical phenomena. Journal of Research in Science Teaching, 34(9), 949–968.

    Google Scholar 

  • Kundel, H. L., Nodine, C. F., Conant, E. F., & Weinstein, S. P. (2007). Holistic component of image perception in mammogram interpretation: gaze-tracking study. Radiology, 242(2), 396–402.

    Google Scholar 

  • Landy, D., & Goldstone, R. L. (2007). How abstract is symbolic thought? Journal of Experimental Psychology. Learning, Memory, and Cognition, 33(4), 720–733.

    Google Scholar 

  • Landy, D., Allen, C., & Zednik, C. (2014). A perceptual account of symbolic reasoning. Frontiers in Psychology, 5, 275.

    Google Scholar 

  • Larkin, J. H. (1979). Processing Information for Effective Problem Solving. Engineering Education, 70(3), 285–228.

    Google Scholar 

  • Larkin, J., McDermott, J., Simon, D. P., & Simon, H. A. (1980). Expert and novice performance in solving physics problems. Science, 208(4450), 1335–1342.

    Google Scholar 

  • Lindgren, R., & Johnson-Glenberg, M. (2013). Emboldened by Embodiment: Six Precepts for Research on Embodied Learning and Mixed Reality. Educational Researcher, 42(8), 445–452.

    Google Scholar 

  • Lindner, M. A., Eitel, A., Strobel, B., & Köller, O. (2017). Identifying processes underlying the multimedia effect in testing: An eye-movement analysis. Learning and Instruction, 47, 91–102.

    Google Scholar 

  • Lowe, R. (2015). Perceptual Learning in the Comprehension of Animations and Animated Diagrams. In The Cambridge Handbook of Applied Perception Research (pp. 692–710). Cambridge University Press.

  • Machado, S., Cunha, M., Velasques, B., Minc, D., Teixeira, S., Domingues, C., Silva, J., Bastos, V., Budde, H., Kagy, M., Basile, L., Piadade, R., & Machado, S. (2010). Sensorimotor integration: basic concepts, abnormalities related to movement disorders and sensorimotor training-induced cortical reorganization. Revista de Neurologia, 51(7), 427–436 Retrieved from http://search.proquest.com/docview/756305670/.

    Google Scholar 

  • Majumdar, R., Kothiyal, A., Ranka, A., Pande, P., Murthy, S., Agarwal, H., & Chandrasekharan, S. (2014). The Enactive equation: Exploring How Multiple External Representations are Integrated, Using a Fully Controllable Interface and Eye-Tracking. In 2014 IEEE Sixth International Conference on Technology for Education (pp. 233–240). Amritapuri, Clappana P. O., India: IEEE.

  • Malinverni, L., & Pares, N. (2014). Learning of Abstract Concepts through Full-Body Interaction: A Systematic Review. Educational Technology & Society, 17(4), 100–116.

    Google Scholar 

  • Maravita, A., & Iriki, A. (2004). Tools for the body (schema). Trends in Cognitive Sciences, 8(2), 79–86.

    Google Scholar 

  • Mason, J., & Johnston-Wilder, S. (2004). Fundamental constructs in mathematics education. Psychology Press.

  • Mayer, R. (1999). A Cognitive Theory of Multimedia Learning. International Journal of Educational Research, 31(7), 612.

    Google Scholar 

  • Mayer, R. (2005). Cognitive Theory of Multimedia Learning. In The Cambridge Handbook of Multimedia Learning (pp. 31–48). Cambridge University Press.

  • Menary, R. (2007). Cognitive integration: Mind and cognition unbounded. Berlin: Springer.

    Google Scholar 

  • Menary, R. (2010). Introduction to the special issue on 4E cognition. Phenomenology and the Cognitive Sciences, 9(4), 459–463.

    Google Scholar 

  • Newell, A., & Simon, H. A. (1972). Human problem solving (Vol. 104, No. 9). Englewood Cliffs: Prentice-Hall.

    Google Scholar 

  • Nitz, S., & Tippett, C. D. (2012). Measuring Representational Competence in Science. In E. de Vries & K. Scheiter (Eds.), of Representational Technologies in Education and Training? (pp. 163–165).

  • Nitz, S., Nerdel, C., & Prechtl, H. (2012). Modeling the Relationship between Representational Competence and Domain Knowledge. In E. de Vries & K. Scheiter (Eds.), of Representational Technologies in Education and Training? (pp. 160–162).

  • Noë, A. (2004). Action in perception. MIT press.

  • NRC/National Research Council. (2000). How people learn: Brain, mind, experience, and school (Expanded ed.). Washington, DC: National Academy Press.

    Google Scholar 

  • Ottmar, E.R., Landy, D., Goldstone, R., & Weitnauer, E. (2015). Getting from here to there: Testing the effectiveness of an interactive mathematics intervention embedding perceptual learning. Proceedings of the 37th Annual Conference of the Cognitive Science Society. Pasadena: Cognitive Science Society.

  • Ozogul, G., Johnson, A. M., Moreno, R., & Reisslein, M. (2012). Technological Literacy Learning With Cumulative and Stepwise Integration of Equations Into Electrical Circuit Diagrams. IEEE Transactions on Education, 55(4), 480–487.

    Google Scholar 

  • Paivio, A. (2006). Dual Coding Theory and Education. The Conference on Pathways to Literacy Achievement for High Poverty Children. 1–20.

  • Pande, P. P. (2018). Rethinking representational competence: cognitive mechanisms, empirical studies, and the design of a new media intervention [Unpublished doctoral dissertation]. Tata Institute of Fundamental Research, Mumbai.

  • Pande, P., & Chandrasekharan, S. (2017). Representational competence: towards a distributed and embodied cognition account. Studies in Science Education, 53(1), 1–43.

    Google Scholar 

  • Pape, S. J., & Tchoshanov, M. A. (2001). The Role of Representation(s) in Developing Mathematical Understanding. Theory Into Practice, 40(2), 118–127.

    Google Scholar 

  • Papert, S., & Harel, I. (1991). Situating constructionism. Constructionism, 36(2), 1–11.

    Google Scholar 

  • Pretz, J. E., Naples, A. J., & Sternberg, R. J. (2003). Recognizing, Defining and Representing Problems. In J. E. Davison & R. J. Sternberg (Eds.), The Psychology of Problem Solving (pp. 3–30). Cambridge: Cambridge University Press.

    Google Scholar 

  • Prinz, W. (1997). Perception and action planning. European Journal of Cognitive Psychology, 9(2), 129–154.

    Google Scholar 

  • Prinz, W. (2005). An ideomotor approach to imitation. in S. hurley & N. Chater (eds.), Perspectives on imitation: From neuroscience to social science (vol. 1, pp. 141–156). Cambridge: Mit Press.

  • Rahaman, J., Agrawal, H., Srivastava, N., & Chandrasekharan, S. (2017). Recombinant Enaction: Manipulatives Generate New Procedures in the Imagination, by Extending and Recombining Action Spaces. Cognitive Science. https://doi.org/10.1111/cogs.12518.

  • Reid, N. (2008). A scientific approach to the teaching of chemistry. What do we know about how students learn in the sciences, and how can we make our teaching match this to maximise performance? Chemistry Education Research and Practice, 9(1), 51–59.

    Google Scholar 

  • Riva, G. (2006). Being-in-the-world-with: Presence meets social and cognitive neuroscience. In From communication to presence: Cognition, emotions and culture towards the ultimate communicative experience (pp. 47–80). IOS Press, Amsterdam.

  • Rivera, J., & Garrigan, P. (2016). Persistent perceptual grouping effects in the evaluation of simple arithmetic expressions. Memory & Cognition, 44(5), 750–761.

    Google Scholar 

  • Sanger, M. J. (2005). Evaluating students’ conceptual understanding of balanced equations and stoichiometric ratios using a particulate drawing. Journal of Chemical Education, 82(1), 131–134.

    Google Scholar 

  • Schubotz, R. I. (2007). Prediction of external events with our motor system: towards a new framework. Trends in Cognitive Sciences, 11(5), 211–218.

    Google Scholar 

  • Schwartz, D., & Holton, D. (2000). Tool Use and the Effect of Action on the Imagination. Journal of Experimental Psychology: Learning, Memory, and Cognition, 26(6), 1655–1665.

    Google Scholar 

  • Sella, F., & Cohen Kadosh, R. (2018). What Expertise Can Tell About Mathematical Learning and Cognition. Mind, Brain, and Education (Special Issue), 1–7.

  • Sfard, A. (1991). On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin. Educational Studies in Mathematics, 22(1), 1–36.

    Google Scholar 

  • Sfard, A. (2000). Steering (dis) course between metaphors and rigor: Using focal analysis to investigate an emergence of mathematical objects. Journal for Research in Mathematics Education, 296–327.

  • Short, F., & Ward, R. (2009). Virtual limbs and body space: Critical features for the distinction between body space and near-body space. Journal of Experimental Psychology: Human Perception and Performance, 35(4), 1092.

    Google Scholar 

  • Sinclair, N., & de Freitas, E. (2014). The haptic nature of gesture: Rethinking gesture with new multitouch digital technologies. Gesture, 14(3), 351–374.

    Google Scholar 

  • Skulmowski, A., & Rey, G. (2018). Embodied learning: Introducing a taxonomy based on bodily engagement and task integration. Cognitive Research: Principles and Implications, 3(1), 1–10.

    Google Scholar 

  • Slater, M., Pérez Marcos, D., Ehrsson, H., & Sanchez-Vives, M. V. (2009). Inducing illusory ownership of a virtual body. Frontiers in Neuroscience, 3, 29.

    Google Scholar 

  • Stieff, M. (2011). Improving representational competence using molecular simulations embedded in inquiry activities. Journal of Research in Science Teaching, 48(10), 1137–1158.

    Google Scholar 

  • Stigler, J. W. (1984). “Mental abacus”: The effect of abacus training on Chinese children's mental calculation. Cognitive Psychology, 16(2), 145–176.

    Google Scholar 

  • Strobel, B., Lindner, M. A., Saß, S., & Köller, O. (2018). Task-irrelevant data impair processing of graph reading tasks: An eye tracking study. Learning and Instruction, 55, 139–147.

    Google Scholar 

  • Sweller, J., Van Merrienboer, J., & Paas, J. (1998). Cognitive Architecture and Instructional Design. Educational Psychology Review, 10(3), 251–296.

    Google Scholar 

  • Tall, D. (2013). How humans learn to think mathematically: Exploring the three worlds of mathematics. Cambridge: Cambridge University Press.

    Google Scholar 

  • Thelen, E., & Smith, L. B. (1994). A dynamic systems approach to the development of cognition and action. Cambridge: MIT press.

    Google Scholar 

  • Tsakiris, M., & Haggard, P. (2005). The rubber hand illusion revisited: visuotactile integration and self-attribution. Journal of Experimental Psychology: Human Perception and Performance, 31(1), 80.

    Google Scholar 

  • Tsui, C.-Y., & Treagust, D. F. (2013). Introduction to Multiple Representations: Their Importance in Biology and Biological Education, In Multiple Representations in Biological Education (pp. 3–18). Dordrecht: Springer.

  • Van Der Hoort, B., Guterstam, A., & Ehrsson, H. H. (2011). Being Barbie: the size of one’s own body determines the perceived size of the world. PLoS One, 6(5), e20195.

    Google Scholar 

  • Van Dijk, J., Van Der Lugt, R., & Hummels, C. (2014). Beyond distributed representation: embodied cognition design supporting socio-sensorimotor couplings. In Proceedings of the 8th International Conference on Tangible, Embedded and Embodied Interaction (pp. 181–188). ACM.

  • Van Gelder, T., & Port, R. F. (1995). It’s about time: An overview of the dynamical approach to cognition. Mind as motion: Explorations in the dynamics of cognition, 1, 43.

    Google Scholar 

  • Weisberg, S. M., & Newcombe, N. S. (2017). Embodied cognition and STEM learning: overview of a topical collection. Cognitive Research: Principles and Implications, 2, 38. https://doi.org/10.1186/s41235-017-0071-6.

    Article  Google Scholar 

  • White, T., & Pea, R. (2011). Distributed by Design: On the Promises and Pitfalls of Collaborative Learning with Multiple Representations. Journal of the Learning Sciences, 20(3), 489–547.

    Google Scholar 

  • Wilensky, U., & Reisman, K. (2006). Thinking like a wolf, a sheep, or a firefly: Learning biology through constructing and testing computational theories—an embodied modeling approach. Cognition and Instruction, 24(2), 171–209.

    Google Scholar 

  • Wilson, M. (2002). Six views of embodied cognition. Psychonomic Bulletin & Review, 9(4), 625–636.

    Google Scholar 

  • Wu, H. K., & Shah, P. (2004). Exploring visuospatial thinking in chemistry learning. Science Education, 88(3), 465–492.

    Google Scholar 

  • Wu, H.-K., Krajcik, J. S., & Soloway, E. (2001). Promoting understanding of chemical representations: Students’ use of a visualization tool in the classroom. Journal of Research in Science Teaching, 38(7), 821–842.

    Google Scholar 

Download references

Acknowledgements

I am grateful to Dr. Sanjay Chandrasekharan for his guidance in developing this theoretical work and Dr. Renae Acton for her valuable feedback on the manuscript.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Prajakt Pande.

Additional information

Publisher’s note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Pande, P. Learning and expertise with scientific external representations: an embodied and extended cognition model. Phenom Cogn Sci 20, 463–482 (2021). https://doi.org/10.1007/s11097-020-09686-y

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11097-020-09686-y

Keywords

Navigation