‘The only way to learn mathematics is to do mathematics.’
Our maths lessons are taught daily, following the national curriculum and supported by the White Rose Maths Hub schemes of learning. We teach with the aim that the children become fluent, confident mathematicians, who can use maths in everyday life and problem solve independently. During every maths lesson we aim that through our questioning and expectations that children become confident in their talk as mathematicians and that they explain in full sentences using mathematical vocabulary. We teach maths using the Chris Quigley approach of Basic (Concrete) Advancing (Pictorial) and Deep (Abstract) allowing children to incur a depth of understanding in maths. All children, regardless of ability, are given opportunities to access problem solving and reasoning challenges for all objectives. We teach maths using the following sequence:
• Recap and review of prior learning– All learning will start by revisiting prior knowledge so that children can make meaningful links and teachers can check understanding.
• Modelling– New learning will be clearly modelled using small steps to show the knowledge, understanding, skill and vocabulary which is needed. The ‘I do, you do, we do’ modelling approach will make sure that enough time is given for the children to fully understand what has been taught to them.
• Scaffolding– Children will be provided with a scaffold to their learning to ensure that they are supported. This may be in the form of adult support or a learning resource.
• Guided practice– Children are supported as they practice and are given clear feedback and are questioned to check their understanding. Children are encouraged to use the new vocabulary and talk as a learner to fully explain their thinking and understanding.
• Independent practice and challenge– Time is given for the children to independently practice the new learning and all children are challenged at the stage they are working at. Challenge will be given through questioning and the tasks that are set.
In mathematics, pupils will have the opportunity to:
- become fluent in the fundamentals of mathematics, through frequent practice with increasingly difficult problems over time
- develop their understanding of mathematical concepts to be able to recall and apply their knowledge rapidly and accurately to problems
- reason mathematically by following a line of enquiry, connecting relationships and developing an argument, justification or proof using mathematical language
- 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 when seeking solutions.
Inspired by Chris Quigley Ltd
Pupils will be able to develop their knowledge and skills as mathematicians by:
- understanding mathematical concepts
- developing a range of skills and using and applying these in mathematics
- understanding number facts and the number system
- practising skills as a problem solver and developing an ordered approach to solving problems in a wide range of contexts
- being an independent thinker who perseveres when faced with challenges and will have a go!
- learning from their mistakes and seeing these as a positive learning experience
- reasoning and summarising, make sense of their findings.
How we teach mathematics