Mathematical Studies

Course summary

Mathematics: analysis and approaches are for students who enjoy developing their mathematics to become fluent in the construction of mathematical arguments and develop strong skills in mathematical thinking. Students who choose Mathematics: analysis and approaches at HL should be comfortable in the manipulation of algebraic expressions enjoy the recognition of patterns and understand the mathematical generalization of these patterns. At this level, students will have strong algebraic skills and the ability to understand simple proof. They will be students who enjoy spending time with problems and get pleasure and satisfaction from solving challenging problems. Aims • develop a curiosity and enjoyment of mathematics, and appreciate its elegance and power 2. develop an understanding of the concepts, principles and nature of mathematics • communicate mathematics clearly, concisely and confidently in a variety of contexts • develop logical and creative thinking and patience and persistence in problem-solving to instil confidence in using mathematics • employ and refine their powers of abstraction and generalization • take action to apply and transfer skills to alternative situations, to other areas of knowledge and future developments in their local and global communities • appreciate how developments in technology and mathematics influence each other • appreciate the moral, social and ethical questions arising from the work of mathematicians and the applications of mathematics • appreciate the universality of mathematics and its multicultural, international and historical perspectives • appreciate the contribution of mathematics to other disciplines, and as a particular “area of knowledge” in the TOK course • develop the ability to reflect critically upon their work and the work of others • independently and collaboratively extend their understanding of mathematics