The IB DP Mathematics: analysis and approaches course recognizes the need for analytical expertise in a world where innovation is dependent on a deep understanding of mathematics. The focus is on developing mathematical concepts in a comprehensible and rigorous way, achieved by a balanced approach. Students are encouraged to apply their mathematical knowledge to solve abstract problems, set in a variety of meaningful contexts. This course emphasises on the ability to construct, communicate and justify correct mathematical arguments. Students develop insight into mathematical form, and should be intellectually equipped to appreciate the links between concepts in different areas. Students are also encouraged to develop the skills needed to continue their mathematical growth in other learning environments. The internally assessed exploration allows students to develop independence in mathematical learning. Throughout the course students are encouraged to take a considered approach to various mathematical activities and ideas.

The aims of all DP mathematics courses are to: develop a curiosity and understanding of the concepts and principles of mathematics, communicate mathematics concisely in a variety of contexts, develop logical and creative thinking, and patience in problem solving, employ and refine their powers of abstraction and generalization, take action to apply skills to other areas of knowledge and in their communities, appreciate how developments in technology and mathematics influence each other, appreciate the moral, social and ethical questions arising from the work of mathematicians, appreciate the universality of mathematics and its multicultural, international and historical perspectives, develop the ability to reflect critically upon their own work and of others, and independently and collaboratively extend their understanding of mathematics.