(i) developing skills and the ability to apply these skills to unfamiliar situations
(ii) gathering, organising, interpreting and communicating information
(iii) formulating key questions, analyzing and conceptualizing problems, defining problems and goals, discovering patterns and similarities, seeking out appropriate data, experimenting, transferring skills and strategies to new situations
(iv) developing curiosity, confidence and open-mindedness (NCTM, 1980, pp.2-3).