Concrete Pictorial Abstract Division
Fruit dienes blocks etc.
Concrete pictorial abstract division. The concrete pictorial abstract cpa approach is a system of learning that uses physical and visual aids to build a childs understanding of abstract topics. Pupils are introduced to a new mathematical concept through the use of concrete resources eg. In division for example this might be done by separating apples into groups of red ones and green ones or by sharing 12 biscuits amongst 6 children. Using concrete apparatus helps children to visualise the numbers and understand their relative size.
Concrete pictorial abstract cpa is a key feature of the singapore maths mastery method now being taught in many primary schools. Often referred to as the concrete representational abstract framework cpa was developed by american psychologist jerome bruner. Concrete representation the children are first introduced to an idea or a skill by acting it out with real objects. Concrete pictorial abstract cpa is a highly effective approach to teaching that develops a deep and sustainable understanding of maths in pupils.
Concrete pictorial abstract beginning division activity hands on this is a great activity where students solve division story problems by using paper manipulatives which they cut out and physically group. Mastery expert kate moore from maths no problem.