, QUESTION 1
1.1 Discussing Van Hiele levels 1 to 3:
Level 1: Visualization: At this level, learners recognize shapes
based on appearance and can perform simple tasks like identifying
basic shapes (circle, square, triangle) and their properties without
understanding deeper relationships.
Level 2: Analysis: Learners begin to understand the properties of
shapes and can compare them based on their attributes. They can
identify similarities and differences between shapes and classify them
into groups based on properties like sides, angles, and symmetry.
Level 3: Deduction: This is the level where learners start to develop
logical reasoning skills. They can use deductive reasoning to make
conclusions based on given properties or statements. For example,
they can prove geometric theorems by logically justifying conclusions
using a sequence of statements.
1.2 Hierarchy in Van Hiele levels:
In the CAPS Intermediate Phase Mathematics curriculum, the levels are
hierarchical, meaning that learners progress through the levels
sequentially. They must first master the skills and concepts at one level
1.1 Discussing Van Hiele levels 1 to 3:
Level 1: Visualization: At this level, learners recognize shapes
based on appearance and can perform simple tasks like identifying
basic shapes (circle, square, triangle) and their properties without
understanding deeper relationships.
Level 2: Analysis: Learners begin to understand the properties of
shapes and can compare them based on their attributes. They can
identify similarities and differences between shapes and classify them
into groups based on properties like sides, angles, and symmetry.
Level 3: Deduction: This is the level where learners start to develop
logical reasoning skills. They can use deductive reasoning to make
conclusions based on given properties or statements. For example,
they can prove geometric theorems by logically justifying conclusions
using a sequence of statements.
1.2 Hierarchy in Van Hiele levels:
In the CAPS Intermediate Phase Mathematics curriculum, the levels are
hierarchical, meaning that learners progress through the levels
sequentially. They must first master the skills and concepts at one level