In my years of experiences teaching, attitudes for learning is the most important first step to make learning a positive and meaningful experience. This is especially true for maths as many children I came across were not convinced that maths is an application to their daily life. It took a duration of real life examples and activities to convince children the usefulness of Maths.
In Singapore Mathematics curriculum, attitudes refer to the affective aspects of mathematics learning such as:
- beliefs about mathematics and its usefulness
- interest and enjoyment in learning mathematics
- appreciation of the beauty and power of mathematics
- confidence in using mathematics
- perseverance in solving a problem.
These attitudes are to be demonstrated by children in different phrases of learning. There are generally 3 phrases of learning, as shown in the diagram below.
In a learning journey, a child could progress sequentially, from phase one (readiness), then to phase two (engagement) and finally to phase three (mastery). However, there are situations when the child do need to return to the previous phase to gain a better understanding of the concepts.
The CPA (Concrete-Pictorial-Abstract) representation of information works within these phrases of learning. Read more about CPA approach here.