At Linthorpe Community primary School we feel it is vital that a positive attitude towards mathematics is encouraged amongst all of our pupils in order to foster confidence and achievement in a skill that is essential in everyday life enabling them to succeed in the future.
The National Curriculum for mathematics aims to ensure that all children:
Become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that children have conceptual understanding and are able to recall and apply their knowledge rapidly and accurately
Reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language
Can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions.
We have adopted a Concrete-Pictorial-Abstract (CPA) approach which forms an integral part of the learning process. Concrete is the practical stage using objects to model problems, bringing concepts to life by allowing pupils to experience and handle physical objects themselves during problem-solving and group work, ensuring all pupils can access learning regardless of their abilities and needs.
Pictorial uses representations of the objects to model problems by drawing or looking at pictures, diagrams or models which represent the objects in the problem.
Abstract is the symbolic stage where pupils are able to use abstract symbols using only numbers, notation and mathematical symbols such as +. -, x, ÷.
Although CPA is shown as three distinct stages pupils will go back and forth between each representation to reinforce their understanding of concepts.