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4 A typical task in interactive geometry could be "Construct a square", with this solution:
1. Construct two points, A and B, and a line through them.
2. Construct lines through both points perpendicular to that line.
3. Measure the distance AB and transfer that distance to the two perpendicular lines, measured from A and B. This constructs two further points C and D.
4. The square ABCD is constructed.
square

One problem:

It is harder to learn these skills than it is to learn what a square is.























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Figure 1
Figure 1: Geometer's Sketchpad




























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Figure 2: JavaSketchpad - drag the red points


























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Identify each quadrilateral.

Please enable Java for an interactive construction (with Cinderella).

Figure 3: Cinderella






















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Please enable Java for an interactive construction (with Cinderella).
Please enable Java for an interactive construction (with Cinderella). Please enable Java for an interactive construction (with Cinderella).

Figure 4: a Cinderella exercise






















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Please enable Java for an interactive construction (with Cinderella). Please enable Java for an interactive construction (with Cinderella).
Use these buttons to make your construction. Please enable Java for an interactive construction (with Cinderella).

Figure 5: a Cinderella exercise






































<<< | C >>>

5 Summary
On-line dynamic geometry meets 3 of our 4 criteria.


technology no technological knowledge required by user
design it is clear what has to be done; minimal explanation needed
development software available to teachers, curriculum designers and web authors to develop content further
For content see:
Transformations (Mathplets 2000): at FreeCampus | at MathsNet
Construction: at MathsNet
Shape: at MathsNet
and MathsNet's Cinderella section.


Cabri, perhaps the first dynamic geometric software, also has a web development at Cabri-Geometre .