Chapter Questions
Describe in your own words the first three van Hiele levels of geometric thought (levels 0,1 , and 2), including the object of thought and the product of thought. How would activities aimed at levels 0,1 , and 2 differ?
Briefly describe the nature of the content in each of the four geometric strands discussed in this chapter: Shapes and Properties, Location, Transformations, and Visualization.
What can you do when the students in your classroom are at different van Hiele levels of thought?
Find one of the suggested applets, or explore GeoGebra (www.geogebra.org) and explain how it can be used. What are the advantages of using the computer instead of handson materials or drawings?
How can you use the van Hiele theory to assess your students' geometric growth or spatial sense?