Abstract
Since Mathematics really is about what mathematicians do, in this paper, we will look at the mathematical practice of framing, in which an object of interest is viewed in terms of well-understood mathematical structures. The new perspective not only allows to deepen the understanding of a resp. object, it also facilitates new insights. We propose a model for framing in the context of theory graphs, and show how framing can be exploited to enhance the interaction with MKM systems. We use the framing extension of our SACHS system — a semantic help system for MS Excel — as a concrete example.
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Barendregt, H., Cohen, A.M.: Representing and handling mathematical concepts by humans and machines. In: ISSAC 2000: Proceedings of the 2000 international symposium on Symbolic and algebraic computation. ACM, New York (2000)
Borwein, J.M., Farmer, W.M. (eds.): MKM 2006. LNCS (LNAI), vol. 4108. Springer, Heidelberg (2006)
Cohen, A.M., Cuypers, H., Barreiro, E.R.: Mathdox: Mathematical documents on the web. In: OMDoc – An open markup format for mathematical documents [Version 1.2] [Koh06], ch. 26.7, pp. 278–282
Farmer, W.: An infrastructure for intertheory reasoning. In: McAllester, D. (ed.) CADE 2000. LNCS (LNAI), vol. 1831, pp. 115–131. Springer, Heidelberg (2000)
Farmer, W., Guttman, J., Thayer, X.: Little theories. In: Kapur, D. (ed.) CADE 1992. LNCS, vol. 607, pp. 467–581. Springer, Heidelberg (1992)
Holzkamp, K.: Lernen: Subjektwissenschaftliche Grundlegung. Campus Verlag (1995)
Kohlhase, A., Kohlhase, M.: Communities of Practice in MKM: An Extensional Model. In: Borwein, Farmer (eds.) [BF06], pp. 179–193
Kohlhase, A., Kohlhase, M.: Compensating the Computational Bias of Spreadsheets with MKM Techniques. In: Carette, J., Dixon, L., Sacerdoti Coen, C., Watt, S.M. (eds.) Calculemus/MKM 2009. LNCS (LNAI), vol. 5625, pp. 357–372. Springer, Heidelberg (2009)
Kohlhase, A., Kohlhase, M.: Semantic knowledge management for education. Proceedings of the IEEE, Special Issue on Educational Technology 96(6), 970–989 (2008)
Kohlhase, M., Mahnke, A., Müller, C.: Managing Variants in Document Content and Narrative Structures. In: Hinneburg, A. (ed.) Wissens- und Erfahrungsmanagement LWA (Lernen, Wissensentdeckung und Adaptivität) conference proceedings, pp. 324–229. Martin-Luther-University Halle-Wittenberg (2007)
Kohlhase, M.: OMDoc – An Open Markup Format for Mathematical Documents [version 1.2]. LNCS (LNAI), vol. 4180. Springer, Heidelberg (2006)
Kerber, M., Pollet, M.: A tough nut for mathematical knowledge management. In: Kohlhase, M. (ed.) MKM 2005. LNCS (LNAI), vol. 3863, pp. 81–95. Springer, Heidelberg (2006)
Kamareddine, F., Wells, J.B., Zenglere, C.: Computerizing mathematical text with mathlang. Electron. Notes Theor. Comput. Sci. 205, 5–30 (2008)
Mossakowski, T., Autexier, S., Hutter, D.: Extending development graphs with hiding. In: Hussmann, H. (ed.) FASE 2001. LNCS, vol. 2029, pp. 269–284. Springer, Heidelberg (2001)
Rabe, F., Kohlhase, M.: An exchange format for modular knowledge. In: Rudnicki, P., Sutcliffe, G. (eds.) Knowledge Exchange: Automated Provers and Proof Assistants (KEAPPA) (November 2008)
Rabe, F., Kohlhase, M.: A web-scalable module system for mathematical theories. The Journal of Symbolic Computation (manuscript, to be submitted) (2009)
Charles, F.: Schmidt. Productive thinking...the gestalt emphasis (2009), http://www.rci.rutgers.edu/~cfs/305_html/Gestalt/gestalt.html
Snow, D.A., Rochford, E.B., Worden, S.K., Benford, R.D.: Frame alignment processes, micromobilization, and movement participation. American Sociological Review 51(4), 464–481 (1986)
Windsteiger, W.: On a solution of the mutilated checkerboard problem using the theorema set theory prover. In: Linton, S., Sebastiani, R. (eds.) Proceedings of the Calculemus 2001 Symposium, Siena, Italy, pp. 28–47 (2001)
Winograd, T.: The spreadsheet. In: Winograd, T., Bennett, J., de Young, L., Hartfield, B. (eds.) Bringing Design to Software, 1996, pp. 228–231. Addison-Wesley, Reading (2006)
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Kohlhase, A., Kohlhase, M. (2009). Spreadsheet Interaction with Frames: Exploring a Mathematical Practice. In: Carette, J., Dixon, L., Coen, C.S., Watt, S.M. (eds) Intelligent Computer Mathematics. CICM 2009. Lecture Notes in Computer Science(), vol 5625. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02614-0_28
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DOI: https://doi.org/10.1007/978-3-642-02614-0_28
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