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MIP2601 Assignment 2 2024 - 12 June 2024
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[Date]MIP2601 Assignment
2 2024 - 12 June 2024
QUESTIONS AND ANSWERS
, MIP2601 Assignment 2 2024 - 12 June 2024
Question 1:
Geometric thinking Read the following statement referring to Van Hiele’s
Level 3: Deduction, and then answer the questions that follow. Learners can
now develop sequences of statements that logically justify conclusions. Given
an isosceles triangle for example, learners can prove that the angles opposite
the congruent sides are equal.
1.1. Clements and Batista (1994) classify Van Hiele levels from 1 to 5. Using
examples, discuss the levels 1 to 3 in detail. (6)
1.2 Drawing from the CAPS Intermediate Phase Mathematics (Space and
Shape), what does it mean to say that the levels are hierarchical? (5)
MIP2601/102/0/2024 4
1.3 What are the 5 implications of Van Hiele’s framework in the teaching and
learning of geometry in the Intermediate Phase mathematics? (10)
1.4 The development of the geometry we know today, started very early in the
human history.
(a) Where in the world do we find some early evidence of geometry? (1)
(b) Approximately to what year does this evidence date back? (1)
(c) Give details of how geometry was practiced in your example. (2) (d) Where
in the CAPS is this type of GEOMETRY covered as a topic? (1) [Sub-
Total=26]
1.1. Van Hiele Levels 1 to 3
Van Hiele’s model of geometric thought is composed of five levels of
understanding, from Level 0 (Visualization) to Level 4 (Rigor). Here, we discuss
Levels 1 to 3 in detail:
Level 1: Visualization
• Description: At this level, learners recognize shapes and objects based on
their appearance and are able to identify and name them. They do not
understand the properties and relationships of the shapes.
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