Research
Using van Hiele levels as the criterion, almost half of geometry students are placed in a course in which their chances of being successful are only 50-50. — Zalman Usiskin, 1982
Researchers found that the van Hiele levels of American students are low. European researchers have found similar results for European students. Many, perhaps most, American students do not achieve the Deduction level even after successfully completing a proof-oriented high school geometry course, probably because material is learned by rote, as the van Hieles claimed. This appears to be because American high school geometry courses assume students are already at least at Level 2, ready to move into Level 3, whereas many high school students are still at Level 1, or even Level 0. See the Fixed Sequence property above.
Read more about this topic: Van Hiele Model
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“The great question that has never been answered, and which I have not yet been able to answer, despite my thirty years of research into the feminine soul, is “What does a woman want?””
—Sigmund Freud (1856–1939)