Research-based guidance and classroom activities for teachers of mathematics

Angle measures

Angle measures is a theme within connecting measurement and decimals. Links to relevant activities and resources are on the right hand side of this page. 

Measuring angles can be difficult for some learners. They can find it difficult to grasp that two angles in dissimilar contexts are the same (for example, themselves turning 90 degrees and the corner of a page in a book being 90 degrees; or the steepness of a slope and how much a person has to turn at a corner). Or the somewhat separate ‘static’ and ‘dynamic’ notions of angle can present difficulties.

Research shows that use of the Logo computer microworld can enable learners to understand the idea of angle as ‘dynamic’ rotation; although they may not utilise this understanding in geometry tasks where they are calculating using static ‘angles’.

In complete contrast, research using DGS showed such software helped students aged 15-17 to gain insight into the notion of angle as between two lines (in the static Euclidean sense), yet few showed a better understanding of angle as rotation and none demonstrated a better understanding of angle as measuring along the arc of a curve, a precursor to radian measure.

Activities and resources

Angle A