TOM - A Multi-touch System for Learning Math

Daniela Blanke, Georg Schneider


Learning of mathematical concepts is a crucial point for high school students as well as students in science and engineering disciplines. In order to facilitate the learning of these abstract concepts we have developed a system to interactively explore these concepts based on a multi-touch table. The table is used as I/O device to additionally stimulate the haptic sense and to allow simple and intuitive gesture based interaction. Consequently we intend to further improve the learning outcome when using the TOM (Touchable Math) system. In this paper we will describe the concepts and the realisation of TOM, which is a modular framework using Interactive Math Objects, which represent basic mathematical concepts together with exercises related to these objects and a gesture based interaction concept.


  1. Albano, G., Ferrari, P. L. (2008). Integrating technology and research in mathematical education: The case of e-Learning. In Garcia Penalvo (ed.): Advances in elearning: Experiences and Methodologies, 132-148.
  2. CCV, Community Core Vision,, (21.09.10).
  3. Daher, W. (2009). Preservice Teachers' Perception of Applets for Solving Mathematical Problems: Need, Difficulties and Functions. Educational Technology & Society, 12(4), 383-395
  4. Hochschule für Gestaltung Schwäbisch Gmünd, Cinderella Multi-touch Wiki, Techert T. et al., meine-projekte/cinderella-dynamische-geometrie-ammulti-touch, (23.08.2010).
  5. Hohenwarter, M., Fuchs, K. (2004). Combination of Dynamic Geometry, Algebra and Calculus in the Software System GeoGebra. Computer Algebra Systems and Dynamic Geometry Systems in Mathematics Teaching Conference 2004. Pecs, Hungary
  6. Khandelwal, M. and Mazalek, A. (2007). Teaching table: a tangible mentor for pre-k math education. Processings of the 1st international conference on Tangible and embedded interaction, 191-194. ACMPress.
  7. Kolb, D., (1984). Experiential learning: Experience as the source of learning and development. Prentice-Hal.
  8. Kortenkamp U., Richter-Gebert, J. (2002). Making the move: The next version of Cinderella. Mathematical Software, Proceedings of the First International Congress of Mathematical Software, 208-216, World Scientific.
  9. Labahn, G., Lank, E., MacLean, S., Marzouk, M., Tausky, D., (2008). MathBrush: A System for Doing Math on Pen-Based Devices. The Eighth IAPR International Workshop on Document Analysis Systems.
  10. LaViola, J., (2006). An Initial Evaluation of a Pen-Based Tool for Creating Dynamic Mathematical Illustrations. Eurographics Workshop on Sketch-Based Interfaces and Modeling. 157-164.
  11. Leitner, J., Rendl, C., Perteneder, F., Gokcezade, A., Seifried, T., Haller, M., Zeleznik, R., Bragdon, A., (2010). NiCE Formular Editor. SIGGRAPH 2010.
  12. Martinez-Santaolalla, M. J., Bienvenida, B. F., Tunez, R. S. (2005). ICT in Mathematics Education: geometry problem solving with applets. Recent Research Developments In Learning Technologies, La Canada De San Urbano: Department of languages and computation, University of Almeria.
  13., MT4J - Multi-touch For Java,, (21.09.2010).
  14. Surface_Illumination, (21.09.10).
  15. SMART Technologies, SMART - SMART Table,, (21.09.2010).
  16., TUIO,, _(21.09.10).
  17. Zeleznik, R., Bragdon, A, Adeputra, F., Ko, H. (2010). Hands-on math: a page-based multi-touch and pen desktop for technical work and problem solving. Proceedings of the 23nd annual ACM symposium on User interface software and technology. ACMPress.

Paper Citation

in Harvard Style

Blanke D. and Schneider G. (2011). TOM - A Multi-touch System for Learning Math . In Proceedings of the 3rd International Conference on Computer Supported Education - Volume 1: CSEDU, ISBN 978-989-8425-49-2, pages 199-206. DOI: 10.5220/0003301601990206

in Bibtex Style

author={Daniela Blanke and Georg Schneider},
title={TOM - A Multi-touch System for Learning Math},
booktitle={Proceedings of the 3rd International Conference on Computer Supported Education - Volume 1: CSEDU,},

in EndNote Style

JO - Proceedings of the 3rd International Conference on Computer Supported Education - Volume 1: CSEDU,
TI - TOM - A Multi-touch System for Learning Math
SN - 978-989-8425-49-2
AU - Blanke D.
AU - Schneider G.
PY - 2011
SP - 199
EP - 206
DO - 10.5220/0003301601990206