There are a number of key concepts that underpin the study of mathematics. Pupils need to understand these concepts in order to deepen and broaden their knowledge, skills and understanding.
a Applying suitable mathematics accurately within the classroom and beyond.
b Communicating mathematics effectively.
c Selecting appropriate mathematical tools and methods, including ICT.
a Combining understanding, experiences, imagination and reasoning to construct new knowledge.
b Using existing mathematical knowledge to create solutions to unfamiliar problems.
c Posing questions and developing convincing arguments.
1.3 Applications and implications of mathematics
a Knowing that mathematics is a rigorous, coherent discipline.
b Understanding that mathematics is used as a tool in a wide range of contexts.
c Recognising the rich historical and cultural roots of mathematics.
d Engaging in mathematics as an interesting and worthwhile activity.
1.4 Critical understanding
a Knowing that mathematics is essentially abstract and can be used to model, interpret or represent situations.
b Recognising the limitations and scope of a model or representation.