A B C D E F
Geometry geo metria geo metria
Spatial sense is an intuitive feel for one s surroundings and the objects in them ( NCTM,1989, p.49)
1) Eye-motor coordination 2) - Figure-ground perception 3) Perceptual constancy 4) - Position-in-space perception 5) Perception of spatial relationships 6) Visual discrimination 7) Visual memory
Eye-motor coordination
- Figure-ground perception
Perceptual constancy
- Position-in-space perception
Perception of spatial relationships
Visual discrimination
Visual memory
:
Piaget & Inhelder ( ) ( ) The van Hieles Theory Pierre van Hiele and Dieke van Hiele-Geldof
The van Hiele Theory Level 0 ( recognition ) Level 1 ( analysis ) Level 2 ( relationships ) Level 3 ( deduction ) Level 4 ( axiomatics )
Level 0 ( recognition )
Level 1 ( analysis )
Level 2 ( relationships
Level 3 ( deduction )
Level 4 ( axiomatics ) ( p132)
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( The van Hiele Theory )
4-7 (
7-9
9-12
( ) ( )
1) Topological geometry 2) Euclidean geometry 3) Coordinate geometry 4) Transformation geometry
( )
( )
2 3
Corel Draw Sketchpad Cabri geometry Lego
N S M D A
221 (46 %) 74 (15 %) 97 (20 %) 12 (3 %) 0 (0 %) 76 (16 %) 480 (100%) 196 (41 %) 63 (13 %) 78 (16 %) 46 (10 %) 33 (7 %) 64 (13 %) 480 (100%) 417 (44 %) 137 (14 %) 175 (18 %) 58 (6 %) 33 (3 %) 140 (15 %) 960 (100%)
稜
3S3 3S4 4S1 2S1 4S2 1S1 1S2 1S3 2S2 2S3 2S4 4S3 5S1 5S2 3S1 3S2 6S1 6S2