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Geometric Thinking and Geometric Concepts
This activity contains 10 questions.
Characteristics of the Van Hiele levels indicate
Proof is the ultimate goal
Levels are sequential
Levels are age dependent
Geometric communication is vital
In Van Hiele's level zero, Visualization, activities includes all of the following EXCEPT
Hypothesizing about shapes
Sorting and classifying shapes
General indicators that are more indicative of level two thinkers include all of the following EXCEPT
Justify conclusions in geometrical contexts
Develop relationships among the properties of shapes
Inclination to make and test conjectures in geometrical situations
Recognize shapes in the environment
At level 0, the most important type of activity a teacher can have students work with is to
Find the similarities and differences of a wide variety of shapes
Feel a shape and match it to a certain property
Matching the faces of 3-dimensional shapes
Sort shapes by recognizing certain properties
When using a geoboard early on, consider the following tip
challenge the students to make slanted designs
use geoboard dot paper with 5-cm squares
teach students to copy their geoboard designs onto paper
have enough geoboards in the room for each student to have one geoboard
Using smaller shapes or tiles to create larger shapes is a good level three activity.
Level zero, Visualization, focuses on the global features of shapes versus analyzing their properties.
Students at level two have a hard time seeing relationships among items other than disjoint classifications.
At level two, instructions can begin to focus on definitions.
Why should we encourage informal proof?
To create paragraphs in your essay response, type <p> at the beginning of the paragraph, and </p> at the end.
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