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Figure 7 – uploaded by Michael de Villiers

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was an important factor (e.g. calling a square a special rectangle).

Figure 7 was an important factor (e.g. calling a square a special rectangle).

Related Figures (8)

halfturn of the grey triangle around the midpoint of the side AB maps angle A onto angle
halfturn of the grey triangle around the midpoint of the side AB maps angle A onto angle
Invited plenary presented at the 4 Congress of teachers of mathematics of the Croatian Mathematical Society, Zagreb, 30 June —2 July 2010, as well as at the National Mathematics Congress in Namibia, Swakopmund, 21-23 May 2012. Also presented as public lecture in the Program Post-Graduate Studies in Mathematics Education, Pontifical Catholic TInivercity af San Panlo Rrazil 19 Anril 9010 In the first case, pupils can again see that angle A = angle D due to a saw being formed
Invited plenary presented at the 4 Congress of teachers of mathematics of the Croatian Mathematical Society, Zagreb, 30 June —2 July 2010, as well as at the National Mathematics Congress in Namibia, Swakopmund, 21-23 May 2012. Also presented as public lecture in the Program Post-Graduate Studies in Mathematics Education, Pontifical Catholic TInivercity af San Panlo Rrazil 19 Anril 9010 In the first case, pupils can again see that angle A = angle D due to a saw being formed
error) to ‘discover’ that they always add up to 180°.
error) to ‘discover’ that they always add up to 180°.
Invited plenary presented at the 4" Congress of teachers of mathematics of the Croatian Mathematical Society, Zagreb, 30 June —2 July 2010, as well as at the National Mathematics Congress in Namibia, Swakopmund, 21-23 May 2012. Also presented as public lecture in the Program Post-Graduate Studies in Mathematics Education, Pontifical Catholic University of Sao Paulo, Brazil. 19 April 2010.
Invited plenary presented at the 4" Congress of teachers of mathematics of the Croatian Mathematical Society, Zagreb, 30 June —2 July 2010, as well as at the National Mathematics Congress in Namibia, Swakopmund, 21-23 May 2012. Also presented as public lecture in the Program Post-Graduate Studies in Mathematics Education, Pontifical Catholic University of Sao Paulo, Brazil. 19 April 2010.
Formal Van Hiele Level 3 definitions in textbooks are often preceded by an activity
Formal Van Hiele Level 3 definitions in textbooks are often preceded by an activity
dragging, students also explore special cases (rhombus, square). Investigate
dragging, students also explore special cases (rhombus, square). Investigate
Construct and connect the midpoints of the sides of a kite. (The result generalizes to any quadrilateral with perpendicular diagonals).
Construct and connect the midpoints of the sides of a kite. (The result generalizes to any quadrilateral with perpendicular diagonals).
Related topics:
Van Hiele Geometric Thinking LevelsDynamic Geometry SofwareGeometry (Education)Teaching and Learning Mathematics
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