Thinking is at the heart of Mathematics and therefore should be at

Thinking is at the heart of
mathematics and therefore should
be at the heart of mathematical
teaching and learning.
Aims of today
• To get an insight into how maths is
taught at St Luke’s.
• To take away some ideas to support
your children at home.
• To experience some of the problem
solving your child will experience
this year.
Maths at St Luke’s
=
+
x
%
subtract
more
add
sum
factor
product
Here is a receipt for some shopping. How
much did I spend? How much change did
I get from £50?
The New Maths Curriculum
Children should:
• Become fluent in the fundamentals of mathematics, including through
varied and frequent practice with increasingly complex problems over
time, so that pupils develop conceptual understanding and the ability to
recall and apply knowledge rapidly and accurately.
• Reason mathematically by following a line of enquiry, conjecturing
relationships and generalisations and developing an argument,
justification or proof using mathematical language.
• Solve problems by applying their mathematics to a variety of problems
with increasing sophistication, including breaking down problems into a
series of simpler steps and persevering in seeking solutions.
Concrete Experiences
• Concrete representation
• This is a 'hands on' component using real
objects and it is the foundation for conceptual
understanding
Pictorial Experiences
• Pictorial representation
• Using representations, such as a diagram or
picture of the problem
Abstract Experiences
• The symbolic stage - a student is now capable of
representing problems by using mathematical
notation, for example: 12 ÷ 2 = 6
Number Sense!
Children need to understand our number
system, starting with counting numbers,
building an understanding of how our
numbers work and fit together.
This includes ordering numbers then
applying this understanding
in different contexts.
Recalling facts
• It is important that children recognise number
bonds, different pairs of numbers with the
same total.
6+2
3+2
8
7+3
10
5
5+3
1+4
6+4
6+1
6+3
6
3+3
5+4
9
7
3+4
Place Value
• Place value is at the heart of the number
system. All digits have a value and a secure
understanding of this will enable children to
use and understand different calculation
methods.
1
2
3
9
Partitioning
432 + 325
400 + 300 = 700
30 + 20 = 50
2+ 5= 7
700 + 50 + 7 = 757
Column methods
• Children with a secure understanding of place value will
understand the column method for addition and subtraction
with greater confidence.
• Understanding place value will help children see the
relationship between the columns.
Times tables
Times tables
Year 3 mathematics lesson
Understanding
money
Keep Counting!
•
•
•
•
Backwards and forwards in 10s, 100s, 1000s.
Counting in decimals.
Counting in fractions.
Counting into negatives.
My Maths
Username: stlukes6
Password: tangent161
Sample of online learning
opportunities…
Online learning games
End of KS1 and KS2 Assessment
The hard work for pupils does not just begin
in Year 2 and Year 6!
These are a sample of questions from the
2016 SATS
These questions include mathematical
knowledge learnt in ALL school years
PROBLEM SOLVING & REASONING
Please visit some of the tables
around the hall to discover some of
the mastery problems that your
child will be solving this year or in
years to come…
PROBLEM SOLVING &
REASONING