This page is a sub-page of the page on our Mathematical Explainatorium.

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New paradigms and tools for mathematics education

An educational system in crisis needs a paradigm shift. We are studying the paradigms and developing the tools that will make this happen.

New Paradigms and Tools for Math Education

Publicatons:

New Paradigms and Tools for Mathematics Education

• Melander, O. (2004), Att bygga lärobjektstruktur med hjälp av resursarkiv – en fallstudie på Utbildningsradion, Examensarbete i Matematikdidaktik, Handledare Ambjörn Naeve CID/NADA/KTH, Uppdragsgivare: Utbildningsradion, Oktober 2004
• Enlund, L., Wahlin, J. (2004), Matematikprojekt for UR barn – en studie i hur man kan stödja matematiska lärprocesser med hjälp av datorn, Examensarbete i Matematikdidaktik, Handledare: Ambjörn Naeve, Uppdragsgivare: Utbildningsradion, September 2004.
• Naeve, A., Nilsson, M. (2004), ICT-enhanced Mathematics Education within the Framework of a Knowledge Manifold, Accepted for presentation at the 10th International Congress of Mathematics Education (ICME), Copenhagen, Denmark, July 4-11, 2004.
• Nilsson, M., Naeve, A. (2004), On designing a global infrastructure for content sharing in mathematics education, Accepted for presentation at the 10:th International Conference on Mathematics Education (ICME), Copenhagen, Denmark, July 4-11, 2004.
• Taxén, G. & Naeve, A. (2002), A system for exploring open issues in VR-based education. Computers & Graphics, No. 26, 2002, 593-598.
• Öhman, A. (2003), Galen i matte – intervju med Ambjörn Naeve, PC Hemma Mars 2003
• Nilsson, M., Naeve, A. (2003), On Designing a Global Infrastructure for ICT-enhanced Mathematics Education, Proceedings of the Nordic Pre-conference to the International Congress on Mathematics Education (PICME 10), Växjö, May 9-11 2003.
• Lundeberg, J., Tengborn, C., (2000). Interaktiva läromedel i ämnet Matematik – finns det plats för dem i skolan?
• Nilsson, M. (2002), Geometric Algebra with Conzilla – Building a Conceptual Web of Mathematics. Master Thesis in Mathematics, Department of Mathematics, KTH, Stockholm.
• Naeve, A. (2001), IT-baserade matematikverktyg på KTH, CID-49, TRITA-NA-D0103, Department of Numerical Analysis and Computer Science, KTH, Stockholm.
• Naeve, A. (2001), The Work of Ambjörn Naeve in the Field of Mathematics Educational Reform (PDF), CID-110, TRITA-NA-D0104, Department of Numerical Analysis and Computer Science, KTH, Stockholm.
• Naeve, A. (2001), Projective Drawing Board – Dynamic Geometric Explorations.
• Naeve, A. (2001), Begreppsmodellering och matematik, CID-109, TRITA-NA-D0103, Department of Numerical Analysis and Computer Science, KTH, Stockholm.
• Taxén, G., Naeve, A. (2001), CyberMath – Exploring Open Issues in VR-based Learning, SIGGRAPH 2001 Educators Program, In SIGGRAPH 2001 Conference Abstracts and Applications, pp. 49-51.
• Taxén, G., Naeve, A., (2001), CyberMath: A Shared Virtual Environment for Mathematics Exploration , Proceedings of the 20:th World Conference on Open Learning and Distance Education (ICDE-2001), Düsseldorf, Germany, April 1-5, 2001, Available on Compact Disc.
• Winroth, H., (1999), Dynamic Projective Geometry , Dissertation, TRITA-NA-99/01, CVAP/NADA/KTH, March 1999.
• Förstklassig Matematik (First Class Mathematics)
  • Naeve, A., Förstklassig Matematik – Konsten att Kortsluta Utbildningssystemet, Utdrag ur diverse projektansökningar under 1990-talet.
• The Garden of Knowledge
  • Naeve, A. (1997), The Garden of Knowledge as a Knowledge Manifold – a Conceptual Framework for Computer Supported Subjective Education, CID-17, TRITA-NA-D9708, Department of Numerical Analysis and Computer Science, KTH, Stockholm.
  • Linde, R., Naeve, A., Olausson, K., Skantz, K., Westerlund, B., Winberg, F., Åsvärn, K. (1997), Kunskapens trädgård, CID-18, TRITA-NA-D9709, Department of Numerical Analysis and Computer Science, KTH, Stockholm.
• Virtual Mathematics Laboratory
  • Naeve, A. (1999), Det Virtuella Matematiklaboratoriet – en översikt.
  • Naeve, A. (2001), Design Goals of the Virtual Mathematics Laboratory
  • Naeve, A. (2001), A Walk-through of the Virtual Mathematics Laboratory
• Matemagi – ett samarbetsprojekt mellan CID och AMT
  • Naeve, A. (1999), Matemagiprojektet – en översikt.
• APE Track A: Context and Content of Mathematics in Engineering Education (collaboration with DSV/KTH within Wallenberg Global Learning Network)
  • Jansson, C.G., Handberg, L., Naeve, A. (2000), Scientific Progress Report APE Track A, Jan-June 2000.
  • Jansson, C.G., Handberg, L., Naeve, A. (2000), Scientific Progress Report APE Track A, July-Dec 2000.
  • Jansson, C.G., Handberg, L., Naeve, A. (2001), Scientific Progress Report APE Track A, Jan-June 2001.
  • Jansson, C.G., Naeve, A. (2001), Final Report APE Track A, Study 1, Jan 2000 – Dec 2001.
• APE Track C: Communications and Visualization Environments for Learning (collaboration with DIS/UU within the Wallenberg Global Learning Network)
  • Naeve, A., Seipel, S. (2000), Scientific Progress Report APE Track C, Jan-June 2000.
  • Naeve, A., Seipel, S. (2000), Scientific Progress Report APE Track C, July-Dec 2000.
  • Naeve, A., Seipel, S. (2001), Scientific Progress Report APE Track C, Jan-June 2001.
  • Naeve, A., Seipel, S. (2001), Scientific Progress Report APE Track C, July-Dec 2001.
• PADLR module 4.3 Personalized and Shared Mathematical Courselets (MathViz)
  • Jansson, C.G., Karlgren, K., Naeve, A., Nilsson, M. (2002), MathViz – PADLR progress report May 2002 (PDF).
• FLIT matematik (Flexibelt Lärande med IT förstärkning)
  • Naeve, A. (2004), FLIT projektets matematikfilosofi.
  • Sillén, B. (2004), Virtuella Miljöbyggare i Skolan.
• Föreslagna matematikutbildningsprojekt på KTH
  • Jansson, C.G., Naeve, A. (2001), Från Formler till Form
  • Enlund, N., Handberg, L., (2001), Matematisk Problemlösning på Distans

Mathematics produced at CVAP

• Svensson, L., Naeve, A. (2004), Combinatorial Aspects of Clifford Algebra, presented at the International Workshop on Applications of Geometric Algebra, Cambridge, 5-6 Sept. 2002, to be published in the Philosophical Transactions of the Royal Society, 2004.
• Naeve, A., Svensson, L. (2001), Geo-MAP unification, in Geometric Computing with Clifford Algebras, Sommer, G. (ed.), pp. 105-126, Springer.
• Naeve, A., Svensson L. (1999), Projective Geometric Computing, The 5:th International Conference on Clifford Algebras and their Applications in Mathematical Physics, Ixtapa-Zihuatanejo, Mexico, June 27-July 4, 1999.
• Naeve, A., Svensson L. (1999), Discrete Integration and Derivation, The 5:th International Conference on Clifford Algebras and their Applications in Mathematical Physics, Ixtapa-Zihuatanejo, Mexico, June 27-July 4, 1999.
• Winroth, H. (1999), Dynamic projective geometry, Ph. D. dissertation, KTH/NA/R–99/01–SE, Department of Numerical Analysis and Computer Science, KTH, Stockholm.
• Naeve, A. (1997), Structure from Translational Observer Motion, in Proceedings of the International Workshop on Algebraic Frames for the Perception-Action Cycle (AFPAC, Kiel, Germany, Sept 1997), Sommer, G., Koenderink, J. J. (eds.), Lecture Notes in Computer Science 1315, pp. 235-264, Springer Verlag.
• Naeve, A., Eklundh, J-O. (1995), Representing Generalized Cylinders, Proceedings of the First Europe-China Workshop on Geometrical Modeling and Invariants for Computer Vision, pp. 63-70, April 27-29 1995, Xi’an, China.
• Svensson, L. (1993), On the Use of Double Algebra in Computer Vision, Talk at the INRIA workshop on invariants in Computer Vision, Nice, France, June 1992. Printed as CVAP-122, ISRN KTH/NA/P-93/10, KTH, 1993.
• Naeve, A. (1989), Geometric Modeling – a Projective Approach, CVAP-63, TRITA-NA-P8918, KTH, 1989.
• Naeve, A. (1987), On the Use of Exterior Algebra in Image Analysis, CVAP-30, TRITA-NA-P8709, KTH, 1987.
• Svensson, L., Naeve, A. (1987), Estimating the N-Dimensional Motion of an (N-1)-Dimensional Hyperplane from two Matched Images of (N+1) of Its Points, Proceedings of the 5:th Scandinavian Conference on Image Analysis, Vol 2, pp 605-617, Saltsjöbaden, 1987.
• Naeve, A., Eklundh, J-O. (1987), On Projective Geometry and the Recovery of 3D Structure, Proceedings of the first International Conference on Computer Vision (ICCV), pp. 128-135, London, 1987.
• Naeve, A. (1986), Projective Line Geometry of the Visual Operator, CVAP-29, TRITA-NA-8606, KTH, 1986.

Historical Manuscripts

• Naeve, A., A Naive Approach to Geometrical Optics
• Naeve, A., PointFocus
• Naeve, A., PunktFokus