Abstract
Proverbially, a picture is worth a 1000 words because it conveys a multitude of concepts, their parts and relationships simultaneously. But it is difficult to precisely describe why and how a picture achieves this. This paper employs Semiotic Conceptual Analysis as a means for providing formal methods for analysing diagrams and other graphical representations, in particular, by modelling part-whole relationships amongst representations and defining quantitative measures and certain qualitative features for comparing different types of representations. The general background for this research is analysing diagrams for teaching purposes.
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Notes
- 1.
In analogy to Stapleton et al.’s (2017) notion of ‘observability’.
- 2.
- 3.
Based on personal teaching experience.
References
Ainsworth, S.: The functions of multiple representations. Comput. Educ. 33(2–3), 131–152 (1999)
Barwise, J., Seligman, J.: Information Flow. Cambridge University Press, The Logic of Distributed Systems (1997)
Flower, J., Fish, A., Howse, J.: Euler diagram generation. J. Vis. Lang. Comput. 19(6), 675–694 (2008)
Ganter, B., Wille, R.: Formal Concept Analysis. Springer, Heidelberg (1999). https://doi.org/10.1007/978-3-642-59830-2
Ganter, B., Obiedkov, S.: Implications in triadic formal contexts. In: Wolff, K.E., Pfeiffer, H.D., Delugach, H.S. (eds.) ICCS-ConceptStruct 2004. LNCS (LNAI), vol. 3127, pp. 186–195. Springer, Heidelberg (2004). https://doi.org/10.1007/978-3-540-27769-9_12
Goguen, J.: An introduction to algebraic semiotics, with application to user interface design. In: Nehaniv, C.L. (ed.) CMAA 1998. LNCS (LNAI), vol. 1562, pp. 242–291. Springer, Heidelberg (1999). https://doi.org/10.1007/3-540-48834-0_15
Middendorf, J., Pace, D.: Decoding the disciplines: a model for helping students learn disciplinary ways of thinking. New Dir. Teach. Learn. 98, 1–12 (2004)
Moody, D.: The ‘physics’ of notations: toward a scientific basis for constructing visual notations in software engineering. IEEE Trans. Softw. Eng. 35(6), 756–779 (2009)
Priss, U.: The formalization of wordnet by methods of relational concept analysis. In: Fellbaum, C. (ed.), WordNet: An Electronic Lexical Database and Some of its Applications, MIT Press, Cambridge, pp. 179–196 (1998)
Priss, U., Old, L.J.: Concept neighbourhoods in lexical databases. In: Kwuida, L., Sertkaya, B. (eds.) ICFCA 2010. LNCS (LNAI), vol. 5986, pp. 283–295. Springer, Heidelberg (2010). https://doi.org/10.1007/978-3-642-11928-6_20
Priss, U.: Semiotic-conceptual analysis: a proposal. Int. J. Gener. Syst. 46(5), 569–585 (2017)
Priss, U.: Applying semiotic-conceptual analysis to mathematical language. In: Endres, D., Alam, M., Şotropa, D. (eds.) ICCS 2019. LNCS (LNAI), vol. 11530, pp. 248–256. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-23182-8_19
Priss, U.: A semiotic perspective on polysemy. Ann. Math. Artif. Intell. (2022). https://doi.org/10.1007/s10472-022-09795-1
Stapleton, G., Jamnik, M., Shimojima, A.: What makes an effective representation of information: a formal account of observational advantages. J. Logic Lang. Inf. 26(2), 143–177 (2017)
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Priss, U. (2022). Semiotic Conceptual Analysis of Part-Whole Relationships in Diagrams. In: Braun, T., Cristea, D., Jäschke, R. (eds) Graph-Based Representation and Reasoning. ICCS 2022. Lecture Notes in Computer Science(), vol 13403. Springer, Cham. https://doi.org/10.1007/978-3-031-16663-1_7
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