# Misconceptions in Geometry

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Misconceptions in Geometry

## 4. Language

### 4.2. Introduce students to new terms in geometry and maths

4.2.1. associate new terms with ungraded diagram / representation / symbols.

## 8. De Villiers

### 8.1. Partition Classification

8.1.1. various subsets of concepts are considered to be disjoint from one another

### 8.2. Hierarchical Classification

8.2.1. Classification of a set of concepts in such a manner that the more particular concepts form subsets of the more general concepts

8.2.1.1. More economical (contains only necessary and sufficient properties, it leads to more economical definitions of concepts and formulation of theories)

## 11. Shape properties

### 11.3. Orientation and Rotation of Shapes

11.3.1. Common shapes are not recognised unless they are upright or in their usual orientation.

11.3.2. mentally rotating objects (or physically rotating your head to look at them) in order to perceive them more clearly.

## 14. How do we address it?

### 14.1. analyze faulty interaction between the pupils‟ extant ideas and the new concept

14.1.1. a teacher can get pupils to explain how they came to their answers or rules

## 15. Identifying the Base and Height of a Triangle

### 15.2. examine different types of triangles with varying orientation

15.2.1. emphasize on their relationship of being perpendicular to each other.