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Mathematical Context in Interactive Documents

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Abstract

In this paper we introduce the concept of an interactive mathematical document. We give a formal description of such a document, which enables us to introduce the notion of a context as user and time dependent information regarding both mathematical and personal data. We also describe the realization of interactive mathematical documents within the MathDox system developed at Eindhoven University of Technology.

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References

  1. Caprotti, O., Cohen, A.M., Cuypers, H., Riem, M.N., Sterk, H.: Using OpenMath servers for distributing mathematical computations. In: Wei Chi, Y., Sung-Chi, C., Jen-Chung, C. (eds.) Proceedings of the Fifth Asian Technology Conference in Mathematics. pp. 325–336 (2000)

  2. Caprotti, O., Davenport, J., Dewar, M., Padget, J.: Mathematics on the (Semantic) NET. Lecture Notes in Computer Science, vol. 3053, pp. 213–224. http://monet.nag.co.uk/monet/ (2004)

  3. Chaachoua, H., Nichaud, J., Bronner, A., Bouhineau, D.: APLUSIX, a learning environment for algebra, actual use and benefits. Proceeding of ICME-10: 10th International congress on Mathematical Education. http://aplusix.imag.fr (2004)

  4. ConneXions. http://cnx.org

  5. Corbalan G., Cuypers H., Paas F.: Het Leren van Lineaire Algebra: Effecten van Feedback op Motivatie en Efficiëntie van het Leren. Tijdschrift voor Didactiek der β-wetenschappen 26(1/2), 21–36 (2009)

    Google Scholar 

  6. CnXML, ConneXions markup language. http://cnx.org/aboutus/technology/cnxml

  7. Cohen, A.M., Cuypers, H., Barreiro, E.R.: MathDox: mathematical documents on the web. In: Kohlhase, M. (ed.) OMDoc: an Open Markup Format for mathematical documents. pp. 262–265 (2006)

  8. Cohen, A.M., Cuypers, H., Sterk, H.: Algebra Interactive. Springer, Berlin. An interactive version is under construction at http://dam02.win.tue.nl/mathadore/ida/bookframe.html (1999)

  9. Cuypers, H., Cohen, A.M., Knopper, J.W., Verrijzer, R., Spanbroek, M.: MathDox—a system for interactive mathematics. In: Proceedings of World Conference on Educational Multimedia, Hypermedia and Telecommunications (EDMEDIA, pp. 5177–5182. MathDox, http://www.mathdox.org Manual, http://www.mathdox.org/player/ MathDox Formula Editor, http://mathdox.org/formulaeditor/ (2008)

  10. Dahn, I.: Management of informal mathematical knowledge—lessons learned from the trial-solution project. Electronic information and communication in Mathematics, LNCS, pp. 29–43 (2003)

  11. De Bra, P., Houben, G.J., Wu, H.: AHAM: a Dexter-based reference model for adaptive hypermedia. Proceedings of the tenth ACM Conference on Hypertext and Hypermedia: Returning to Our Diverse Roots, pp. 147–156 (1999)

  12. De Bra, P.: Web-based educational hypermedia. In: Romero, C., Ventura, S. (eds.) Data Mining in E-Learning, WIT Press, Southampton, pp. 3–17 (2006)

  13. Digital Mathematics Envirmonment. http://www.fi.uu.nl/dwo

  14. Emilea-Stat. http://www.emilea.de

  15. GAP—Groups, algorithms, programming—a system for computational discrete algebra. http://www.gap-system.org/gap.html

  16. Gosling, J., Joy, B., Steele, G.: The Java Language Specification, 3rd edn., Addison-Wesley, Reading. http://java.sun.com (2005)

  17. Halasz, F., Schwartz, M.: The dexter hypertext reference model. Commun. ACM 37(2), 30–39 (1994). http://java.sun.com/products/servlet/

    Google Scholar 

  18. Jelly. http://commons.apache.org/jelly/

  19. Knot Theory. http://dam02.win.tue.nl/mathadore/knots/

  20. Kohlhase, M., (ed.): OMDoc: An Open Markup Format for Mathematical Documents. Springer, Berlin (2006)

  21. Kohlhase, M., Müller, C.: Semantic technologies for Mathematical elearning. preprint, JEM workshop 6 (2009)

  22. Kohlhase, M., Müller, C.: Panta Rhei. Wissens- und Erfahrungsmanagement LWA (Lernen, Wissensentdeckung und Adaptivität) Conference Proceedings, In: Alexander, H. (ed.) pp. 318–323 (2007)

  23. LeActiveMath. http://www.leactivemath.org

  24. Maple. http://www.maplesoft.com

  25. MapleTA. http://www.maplesoft.com

  26. Mathadore. http://www.mathadore.nl

  27. Mathematica, Wolfram Research, Inc., Mathematica Edition: Version 7.0, Wolfram Research. http://www.wolfram.com (2008)

  28. Mathematical Markup Language (MathML) Version 2.0. http://www.w3.org/TR/MathML2/

  29. Mathematical Markup Language (MathML) Version 3.0 (proposal). http://www.w3.org/TR/MathML3/

  30. Melis, E., Siekmann, J.: Activemath: an intelligent tutoring system for mathematics. In: Proceedings of the International Conference on Artificial Intelligence and Soft Computing, pp. 91–101. http://www.activemath.org

  31. OpenMath. http://www.openmath.org

  32. Orbeon. http://www.orbeon.com

  33. SAGE. http://www.sagemath.org

  34. SCORM. http://www.adlnet.gov/Technologies/scorm/default.aspx

  35. Sangwin, C.J., Grove, M.J.: STACK: addressing the needs of the neglected learners. In: Proceedings of the First WebALT Conference and Exhibition, pp. 81–95 (2006)

  36. Walsh, N., Muellner, L.: DocBook: The Definitive Guide, 1st edn., O’Reilly, Sebastopol. 1999. http://www.oasis-open.org/docbook/

  37. Wortel TU/e. http://wortel.tue.nl

  38. XForms. http://www.w3.org/MarkUp/Forms/

  39. XInclude. http://www.w3.org/TR/xinclude/

  40. XPath. http://www.w3.org/TR/xpath/

  41. XQuery. http://www.w3.org/TR/xquery/

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Cohen, A.M., Cuypers, H. & Verrijzer, R. Mathematical Context in Interactive Documents. Math.Comput.Sci. 3, 331–347 (2010). https://doi.org/10.1007/s11786-010-0026-5

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