Maths Mastery in the Foundation Stage
A Parents’ Guide to Maths Mastery in the EYFS
Early Learning Goals in Reception
There are two Early Learning Goals for maths. These outline what most children in reception are expected to be able to do by the end of their first year at school. They are;
Children count reliably with numbers from one to 20, place them in order and say which number is one more or one less than a given number. Using quantities and objects, they add and subtract two single-digit numbers and count on or back to find the answer. They solve problems, including doubling, halving and sharing.
Shape, Space and Measure:
Children use everyday language to talk about size, weight, capacity, position, distance, time and money to compare quantities and objects and to solve problems. They recognise, create and describe patterns. They explore characteristics of everyday objects and shapes and use mathematical language to describe them.
How do we teach for Mastery in the Early Years?
In nursery and reception, we aim to teach so that children have a deep understanding of number. We want to develop children’s number sense so that they understand the number rather than just recognising the numeral. Children need to understand that numbers can be represented in many ways, not just as a written numeral. We use many different objects and pictures to show that numbers can be represented in lots of ways.
Some ways to represent five
Children sometimes need lots of practise to recognise numbers in different forms. We play matching games and encourage children to recognise and make different amounts in our indoor and outdoor areas.
When counting, children need to understand…
• That we need to say one number for each object counted (touch counting).
• The final number we say is how many altogether. Some children continue to count after they have reached the final object as they don’t connect the numbers they are saying to the objects in front of them.
• That we can count objects in any order and the total stays the same.
The CPA Approach (Concrete, Pictorial, Abstract)
At Crowle Primary we use the CPA approach. Concrete is the ‘doing’ stage, using concrete objects to solve problems. Pictorial is the ‘seeing’ stage, using representations of the objects involved in maths problems. Abstract is the ‘symbolic’ stage, where children are able to use abstract symbols to model and solve maths problems.
Reasoning in maths helps children to be able to explain their thinking, therefore making it easier for them to understand what is happening in the maths they are doing. It helps them to think about how to solve a problem, explain how they solved it and to think about what they could do differently. In reception and nursery, some examples of reasoning are:
• True and false statements eg adding one to a number always makes it smaller.
• Spotting incorrect maths eg 1, 2, 3, 4, 6, 5, 7, 8, 9, 10.
• Explaining how we know something or how we worked it out. Problem solving in maths allows children to use their maths skills in lots of contexts and in situations that are new to them. It allows them to seek solutions, spot patterns and think about the best way to do things rather than blindly following maths procedures. In reception, problem solving might include:
• Spotting, following and creating patterns.
• Estimating amounts of objects.
• Predicting how many times they can do something in a minute.
• Sharing objects between different groups – particularly when the amount of groups change and the amount of objects stays the same.
• Finding different ways to partition numbers eg 5 could be 5+0, 4+1, 3+2 etc.
Another skill that is very important is recognising small amounts without the need to count them. Initially this should be by using concrete objects such as those shown above but, as children progress, allowing them to see groups of dots in different arrangements helps them to mentally ‘see’ how many objects are there without needing to count. This is a very important skill when children begin to add and subtract. Using dice is a good way to practise this skill before moving onto objects in different arrangements.
Understanding that the total stays the same even when the objects move.
When children first start to use numbers, they often do not understand that if we move objects into another arrangement the total stays the same. We practise this with many different types of objects but a useful tool is using a tens frame to be able to move counters around. By becoming fluent in maths facts, it allows our brain to concentrate on higher level skills.
How can I help at home?
• Count - steps up the stairs, money into a money box etc.
• Ask children to say how many without counting (5 or fewer).
• Play games using dice/dominoes and encourage child to say how many spots without counting.
• Ask children to set the table with enough knives, forks and plates for everyone.
• Spot numbers in the environment – on phones, microwaves, clocks, registration plates, doors.
• Ask children to think of their own representations for numbers eg one of them, two hands, three bears, four wheels on a car, five toes, six sides on a dice, seven dwarves, eight legs on an octopus etc.
• Deliberately make mistakes. Children need to understand mistakes are normal and everyone makes them eg get mixed up when counting, muddle two numbers when ordering them.
• Watch Numberblocks on Cbeebies. This programme is written by maths specialists to model maths concepts and represents number brilliantly. Also, Numberjacks is excellent for solving problems.
• Hide numbers around the house or garden for children to find.
• Play outdoor maths games like hopscotch and skittles. Even better, let children make up their own games and decide how to score points.
• Read books with maths concepts eg The Very Hungry Caterpillar, One is a snail, ten is a crab, What’s the time, Mr Wolf?
• Draw attention to more and less.
• Try some activities from the NRICH website for EYFS to encourage depth - www.nrich.maths.org (please be mindful that we will be using some of these in school)
• Ask questions such as “How many more?”, “How many altogether?”, “How many would I have if…".
Another useful resource is the lessons on Oak National Academy, these are based on the Mastery In Maths Approach. If you would like to watch any of the lessons please follow the links below to the site.
Oak National Academy Maths Lessons
If you have any other questions please speak to a member of the foundation stage team.