Correct Answer - Option 3 : Perceive the relationship between properties and figures.
The Van Hiele's levels originated in 1957 given by Pierre Van Hiele and his wife from the Utrecht University in the Netherlands. It helped in shaping the curriculum throughout the world that especially influenced the learning of geometry at a large level.
- It provides an insight to the teacher about how the students learn geometry at different levels. It describes how the students learn at each level and pass to another level.
Van Hiele levels:
- In early schooling, the students began to learn about shapes and try to differentiate various shapes from each other.
- The students learn according to their individual differences, the age can be different in each stage as they learn at their own pace.
- The Van Hiele levels are described below:
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Level 0: Visualization
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- The students can recognize shapes by their whole appearance that should just like the exact shape.
- They will not only able to recognize but also will be able to classify the shapes.
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For example, a child can recognize and classify the shape of a square, circle, rectangle, triangle, and so on.
- It belongs mostly to the elementary level of classes.
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Level 1: Analysis
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- They will learn the functions and parts of a figure.
- They can describe and differentiate the properties of a figure and recognize the figures with the same properties.
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For example, a student is able to differentiate between a square and a rectangle on the basis of their properties.
- It also belongs to the elementary level of classes.
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Level 2: Informal deduction
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- The students will be able to perceive the relationships between properties of a geometrical figure.
- They can take part in informal deductive discussions and can discuss the different characteristics of figures.
- It generally belongs to the upper elementary classes.
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Level 3: Formal deduction
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- At this level, the students become aware of the more complex geometrical concepts.
- They can prove an abstract statement on geometric properties to conclude.
- It belongs to the higher level of classes where students usually combine a certain set of elements to prove any theorem to draw conclusions or do the evaluation.
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Level 4: Rigor
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- The last level of geometrical learning belongs to the senior secondary and university level of classes.
- The students are able to compare different geometrical results.
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So, it is concluded that according to Van Hiele's stages, the child at level 2, is able to perceive the relationship between properties and figures.
