New Paradigms and Tools for Mathematics Education

Paradigms

Design patterns

Educational

• Naeve, A., Design Patterns in Mathematics Education (PDF)
• Naeve, A., [Papers#gokasakm | The Garden of Knowledge as a Knowledge Manifold]]

Philosophical

• Naeve, A., Samspelet mellan matematiken och vetenskapen (PDF)
  

Tools

In-house

• MacTapet [1987]
  • Download Mac version
  • Manual
• CyberMath
• Projective Drawing Board
• S-Reflections
• MapCon
• MapAnalyze
  • Manual
• PrimeTime [1992]
  • Download Mac version
  • Manual
• HyperFlow [1988]
  • Download Mac version
  • Manual
• DrawBoard
• MacDrawBoard
  • Manual

External

• Graphing Calculator
• LiveGraphics3D
• Mathematica

Projects

Ongoing:

• The Virtual Mathematics Laboratorium - a Conzilla-based mathematical knowledge manifold.
• Conceptual modeling of mathematical structures in ULM.
• Mathematical component archives.
• LiveGraphics3D.
• First Class Mathematics - logically tested fantasies for all, starting in first class.
• Mathemagic - mathematical adventures in cyberspace. From formulas to forms with CyberMath and the Graphing Calculator.
• Projective Drawing Board - Interactive exploration of geometrical structures.
• Geometric Algebra - the shocking truth about the design flaws of mainstream mathematics.
• Point focus: Globally relevant mathematical content - using mathematics in order to focus solar energy.
• CyberMath
• Cooperation with the national research school in mathematics education

Finished:

• Geometric Toolbox

Upcoming:

• The mathematical rehabilitation clinique. Restoring self-confidence in the ability to perform structured thinking.
• Från formler till form
• Matematisk problemlösning på distans

Papers

 Contact: Ambjörn Naeve, Mikael Nilsson