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from the

 geo
board
  to the

geometric
  design
WORKSHOP: FROM THE GEOBOARD TO THE GEOMETRIC DESIGN

Geoboards were invented and popularized by Egyptian mathematician Caleb
Gattegno in the 1950s.It is useful for studying geometry, symmetry and
transformations.

A geoboard consists of a board where some nails have been partly hammered
into a piece of wood in a particular pattern. Figures are made on the geoboard
by stretching rubber bands from one nail to another until the desired shape is
formed. We will first work with a paper geoboard drawing different figures.
After that we are going to work with geoboards on line. Finally we are going to
use GIMP and its possibilities using greed’s to draw figures and geometric
designs.

First session
The geoboard. Drawing figures on a squared geoboard and on an isometric
geoboard on line.
Second session.
Drawing volume figures on an isometric geoboard on line
Gimp: Using templates and grids. How to draw lines.
Geoboard workshop
Third session Gimp : how to draw and colour plane figures and volume figures.
Draw symmetrical figures




                                                                      	
  
                                        	
  
 




       	
  
	
  
Geoboard workshop
Fourth session Invent, draw and colour all kind of figures.

	
  
                                                              	
  
                                                              	
  
                                                              	
  
                                                              	
  
                                                              	
  
                                                              	
  
                                                              	
  
                                                              	
  
                                                              	
  
                                                              	
  
                                                              	
  
                                                              	
  
                                                              	
  
                                                              	
  
                                                              	
  
                                                              	
  
                                                              	
  
                                                              	
  
                                                              	
  
                                                              	
  
                                                              	
  
                                                              	
  
                                                              	
  
                                                              	
  
                                                              	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
 
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
 
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  




       	
  

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Geoboard workshop

  • 1. from the geo board to the geometric design
  • 2. WORKSHOP: FROM THE GEOBOARD TO THE GEOMETRIC DESIGN Geoboards were invented and popularized by Egyptian mathematician Caleb Gattegno in the 1950s.It is useful for studying geometry, symmetry and transformations. A geoboard consists of a board where some nails have been partly hammered into a piece of wood in a particular pattern. Figures are made on the geoboard by stretching rubber bands from one nail to another until the desired shape is formed. We will first work with a paper geoboard drawing different figures. After that we are going to work with geoboards on line. Finally we are going to use GIMP and its possibilities using greed’s to draw figures and geometric designs. First session The geoboard. Drawing figures on a squared geoboard and on an isometric geoboard on line.
  • 3. Second session. Drawing volume figures on an isometric geoboard on line Gimp: Using templates and grids. How to draw lines.
  • 5. Third session Gimp : how to draw and colour plane figures and volume figures. Draw symmetrical figures    
  • 6.      
  • 8. Fourth session Invent, draw and colour all kind of figures.                                                                                                
  • 9.                                                                                        
  • 10.