ED3662 Lecture Notes - Lecture 9: Regular Polygon, Australian Curriculum, Subjective Constancy
Week Nine
Lecture Nine: Review
Measurement – Why teach it?
- Allows us to quantify the world!
- Desire to compare – he is taller/shorterthan me
- Over time question of “how much taller?” arises
- Therefore there is a need to measure and then quantify the
measurement
Standard units
Western Australian Curriculum
- 4 content strands of Geometry
o Shape
o Location and transformation
o Geometric reasoning
o Trigonometry and Pythagoras
Spatial concepts: Early activities
- Sorting
- Building
- Packing
- Modelling
- Touching
- Matching
- The physical manipulation of shapes is important in all ages
Rigid Transformations
- Flip (reflection)
- Turn (rotate)
o Point of rotation
o Direction of rotation
o Turns & degrees
o Rotate 90 degrees in a clockwise direction around point A
- Slide (Translate)
o Must only slide with no other transformation
Van Hiele
- I believe that development is more dependent on instruction than on age or biological maturation
and that types of instructional experiences can foster, or impede development
o 0 - Pre-recognition
o 1 - Visualisation
▪ Figure ground perception
▪ Mental rotation
▪ Perceptions of spatial positions
▪ Perception of spatial relationships
▪ Perceptual constancy
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