5. a) i) Explain the 5 levels of development in geometric understanding proposed by the Van
Hieles. Illustrate your explanation in the context of learning the concept of volume.
ii) Further, do you agree that children in Class 6 usually think at Level 2? Give reasons for
your answer. (12)
b) Can you think of a planar figure with exactly two axes of symmetry? Can this figure be a
triangle? Give reasons for your answers. (4)
c) Explain what inductive and deductive logic are, and illustrate them in the context of measuring
time. (4)
d) Give two reasons why children usually find mathematical notations confusing. Support your
answer with illustrations pertaining to representing and reading time. How would you help your
learners become comfortable with the notation?
1
Expert's answer
2014-03-25T04:29:39-0400
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