Multiple Perspectives is the second of the four key aspects that Ma (2010) describes to be linked to having a profound understanding of mathematics.
Multiple Perspectives is about knowing the base knowledge and concepts and understanding them to know when and where to apply them to new situations.
In schools, children should be taught different methods/approaches to use. Having single approach methods are no good to children, they need to be able to explore, Vale and Barbosa (2009). Children will learn more through trial and error as they are problem solving through exploration and discovery.
For teachers, teaching different methods will allow for equal learning opportunities. For students, this will cater for a variety of learning styles.
Multiple Perspectives allow for us to incorporate many skills such as; analysing, predicting, reflecting and evaluating. Having these skills will allow you to persevere with your situation until you have an appropriate answer.
Bryce and Humes (2008) both describe multiple perspectives to be having a problem, knowing what approach to use to solve it and why that approach would work best. It is about being flexible with your methods to adapt them accordingly to the situations.