Welcome to our new Website

Mathematics

 

At Blackfell, teachers strive to deliver both depth and breadth and ensure that pupils grasp the fundamental concepts that unlock the door to mastery. We also want pupils to have a Growth Mindset ‘can do’ attitude, by following the 5 Rs of resilience, resourcefulness. relationships, reflection and risk-taking where we have a positive attitude to making mistakes and seeking solutions.

 Representation and structure:

To provide concrete and pictorial experiences so that pupils acquire a sound understanding of mathematical skills and concepts.

  • To use concrete and pictorial approaches to access the maths and reveal the ‘big ideas’. Additionally, to see patterns and make connections.
  • To develop pupils confidence in mathematical understanding so they see the relevance of mathematics in the outside world.

 Variation:

  • To enable pupils to think logically and work in a systematic way.
  • To allow pupils to apply what they have learnt in a variety of ways, e.g. systematic, imaginative, independent and co-operative.

 Fluency:

  • To ensure that pupils become fluent and accurate at rapid recall of number facts.(Number facts, times tables, making connections.)

 Mathematical Thinking:

  • To enable pupils to communicate through mathematics by discussion so developing their conceptual understanding and verbal reasoning
  • To give opportunities for pupils to investigate and make discoveries for themselves.
  • To follow chains of reasoning and make connections.
  • To ensure that pupils have an in-depth knowledge of mathematical vocabulary and its meaning.
  • To enable pupils to make links within mathematics and with other areas of the curriculum.

 Within the terms mastery and greater depth mastery, all pupils require depth in their learning and understanding:

  • Use mathematical concepts and facts and procedures fluently.
  • Recall key number facts with speed and accuracy and calculate unknown facts.
  • Use understanding to reason and explain a mathematical problem.

Mastery:

  • The child can describe in his/her own words.
  • The child can represent their learning in a variety of ways- concrete, pictorial, abstract.
  • Explain it to someone else.
  • Make up his/her own examples.
  • Make links and see connections between facts/ideas/patterns etc.
  • Recognise it in a new context.

Mastery with Great Depth:

  • Solve problems of greater complexity (where the approach is not immediately obvious) and they can demonstrate creativity in their approach.
  • Independently exploring and investigating mathematical contexts and structures.
  • Communicating results clearly and systematically.
  • Explain and generalise about mathematics.

Concrete, Pictorial and abstract approach

CPA approach: Planning has a concrete, pictorial and abstract approach because we believe that all pupils, when introduced to a key new concept need the opportunity to build competency in this area by taking this approach.

 The conceptual understanding and fluency of pupils is strengthened if they experience concrete, pictorial and abstract representations of a concept. Moving between these approaches enables pupils to connect abstract symbols with familiar contexts, which supports pupils in making sense of maths.

At Blackfell, teachers strive to deliver both depth and breadth and ensure that pupils grasp the fundamental concepts that unlock the door to mastery. We also want pupils to have a Growth Mindset ‘can do’ attitude, by following the 5 Rs of resilience, resourcefulness. relationships, reflection and risk-taking where we have a positive attitude to making mistakes and seeking solutions.