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
Famous quotes containing the word research:
“If politics is the art of the possible, research is surely the art of the soluble. Both are immensely practical-minded affairs.”
—Peter B. Medawar (1915–1987)
“Our science has become terrible, our research dangerous, our findings deadly. We physicists have to make peace with reality. Reality is not as strong as we are. We will ruin reality.”
—Friedrich Dürrenmatt (1921–1990)
“... research is never completed ... Around the corner lurks another possibility of interview, another book to read, a courthouse to explore, a document to verify.”
—Catherine Drinker Bowen (1897–1973)