September 2014 saw the launch of a new National Curriculum with lots of changes. The new maths curriculum was perhaps one of the most controversial:
'New national curriculum to introduce fractions to five-year-olds' The Guardian July 2014
'Is the proposed new national curriculum too much too soon?' The Guardian 1st April 2013
Despite the initial furore teachers all over the country are now getting on with the business of delivering the new curriculum which aims to ensure all pupils become fluent
in the
fundamentals of mathematics so that they are:
- efficient in using and selecting the appropriate written algorithms and mental methods, underpinned by mathematical concepts
- can solve problems by applying their mathematics to a variety of problems with increasing sophistication, including in unfamiliar contexts and to model real-life scenarios
- can reason mathematically by following a line of enquiry and develop and present a justification, argument or proof using mathematical language.
We have to ensure that we are catering for the needs of every
child in our class/group. Merely repeating the same instruction ten times does
not work for some children. They need to be able to understand the process
rather than just rattle off facts. Only then will they have a real grasp of the
number system and be able to apply that to a range of problem solving
activities.
The
expectation is that the majority of pupils will move through the programmes of
study at broadly the same pace. However, decisions about when to progress
should always be based on the security of pupils’ understanding and their
readiness to progress to the next stage. Pupils who grasp concepts rapidly
should be challenged through being offered rich and sophisticated problems
before any acceleration through new content. Those who are not sufficiently
fluent with earlier material should consolidate their understanding, including
through additional practice, before moving on.
But
how can this be achieved when there are still pupils who find maths a
challenge, they just don't get it! And others find it a chore? How do we
raise the bar in terms of competency and engagement?
Findings from Ofsted 2011 provides some clues:
- Practical, hands-on experiences of using, comparing and calculating with numbers and quantities … are of crucial importance in establishing the best mathematical start …
- Understanding of place value, fluency in mental methods, and good recall of number facts … are considered by the schools to be essential precursors for learning traditional vertical algorithms (methods)
- Subtraction is generally introduced alongside its inverse operation, addition, and division alongside its inverse, multiplication
- High-quality teaching secures pupils 'understanding of structure and relationships in number …
Concrete - Using
solid, hands on resources to help with the understanding of maths/
It
is important to use practical resources to ensure children understand the
process of calculations, such as making a number ten times bigger or increasing
a number by 12 means we now have 12 more of something, rather than maths just
being an abstract activity that ‘we just do’
Pictorial - Using diagrams and images to represent numbers and
symbols. Here, children move away from
physical, hands on objects and instead use pictures for demonstrations and also
recording.
Abstract - Moving onto the use of numbers and symbols in a
conventional written method.
There is a new Maths Curriculum that we are all beginning
to implement. So it is a perfect time to try the CPA approach to
teaching maths, starting now! Start by using the main principal of providing the
children with the concrete and pictorial before the abstract then if that's successful try the Bar Method. But that's a whole new blog post!
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