Expanding the view
Use the following teaching tips to avoid or change the double-count view of fractions.
- Read fractions as single numbers rather than a part-whole description using two numbers (e.g. say 'three-quarters' instead of 'three out of four').
- Accompany part-whole models, such as area diagrams, with fractions placed on a number line.
- Strengthen students' sense of the relative size of fractions through visualising tasks. An example is the activity Fraction Wheel.
- Use 'counting by fractions' of the same denominator to reinforce the concept of fractions as numbers. An example is the activity Sequencing and Counting.
- Use sharing division tasks to explore the division meaning for fractions. An example is the activity Dividing Pancakes.
- Discuss with students what fractions actually are and the variety of ways in which they can be represented and used.