Mathematics (Further)

Course summary

• Understand mathematics and mathematical processes in ways that promote confidence, foster enjoyment and provide a strong foundation for progress to further study • Extend their range of mathematical skills and techniques • Understand coherence and progression in mathematics and how different areas of mathematics are connected • Apply mathematics in other fields of study and be aware of the relevance of mathematics to the world of work and to situations in society in general • Use their mathematical knowledge to make logical and reasoned decisions in solving problems both within pure mathematics and in a variety of contexts, and communicate the mathematical rationale for these decisions clearly • Reason logically and recognise incorrect reasoning • Generalise mathematically • Construct mathematical proofs • Use their mathematical skills and techniques to solve challenging problems which require them to decide on the solution strategy • Recognise when mathematics can be used to analyse and solve a problem in context • Represent situations mathematically and understand the relationship between problems in context and mathematical models that may be applied to solve them • Draw diagrams and sketch graphs to help explore mathematical situations and interpret solutions • Make deductions and inferences and draw conclusions by using mathematical reasoning • Interpret solutions and communicate their interpretation effectively in the context of the problem • Read and comprehend mathematical arguments, including justifications of methods and formulae, and communicate their understanding • Read and comprehend articles concerning applications of mathematics and communicate their understanding • Use technology such as calculators and computers effectively, and recognise when such use may be inappropriate • Take increasing responsibility for their own learning and the evaluation of their own mathematical development