Maths Workshop
Wednesday 22nd October 2014
Mathematics at BIS
Aims:
1.
Supporting your children with the basics - finding gaps in learning
and bridging them.
2.
An introduction to the written Calculation Hierarchy document
and progression of written calculation methods.
3.
Resources for use at home to support with Mathematics.
Mathematics at BIS
Part 1
Supporting children with the basics -finding gaps
in learning and bridging them.
The importance of meaning and language.
Dave Allen on teaching the time!
Understanding the language of mathematics and then applying the
correct process to solve a problem is vital.
As adults we often make the assumption that children will know or just
get basic concepts. This often leads to us missing where the gaps are in
their learning.
Never assume they will just know it!
Using questioning and discussion with children to find out what they are
thinking.
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6+5 = 10
How do you respond to this?
‘That’s great’ but how did you work it out?
‘I counted on from 6, oh I got it wrong’ – can they self correct?
 What do you do if they still think they are right? Go back to what they can
do and find the next step. Steps are important for each operation.
Example: steps for addition – How do children learn to add?
 Combining sets of objects
 Counting on the amount they are adding from a starting
number.
 Recalling and using number facts.
 Extending bridging, partitioning and using and recognising
patterns. Commutative relationships.
 Vertical algorithms/column addition
Key Facts And Knowledge
Key Facts Challenge
Key Fact are important as has been shown but as part of the process. A child needs to have the
prior understanding to apply them and use them successfully to calculate and progress further.
‘They may be able to say all the time tables by rote in Year 2 but they are only useful if they
can apply them correctly or know what they are doing.’
It is much better if they understand their relationships to addition, fractions and division. When
they begin to use the patterns they see intuitively then you can be sure this knowledge is
worthwhile’.
(Knowledge ladder coming soon)
Key knowledge ladder:
Steps that children
must know.
Mathematics at BIS
Online Resources for support at
home
http://www.mathplayground.com/number_bonds_10.html
Websites sheet
Calculation Hierarchy Document
 Format for the progression of written calculation methods
 Has clear progression for the 4 operations – split into phases.
 Emphasis on developing mental methods that can then support and move on to written methods.
 It is an aid and helpful guide.
Calculation Hierarchy
These are the steps for addition:
Calculation Hierarchy
There are diagrams and explanations for each step and how it should be done.
Pictures are used initially and visual
and physical resources.
This moves on to number lines to model the
addition process and aid mental addition.
Calculation Hierarchy
 Number lines are an aid for calculations with the aim that these written methods becoming
mental methods.
 It is at this point where key number facts also become very important to aid the efficiency of
mental methods.
 Children need to know with speed simple number facts. This then allows then to do more
complex calculations mentally.
Calculation Hierarchy
Other steps after that are to use vertical algorithms to allow larger and more complex calculations to be
done. However, their mental methods are still important.
Column by column addition would then move
into…
pure column addition.
Calculation Hierarchy
The Calculation Hierarchy can be found in the Mathematics
section on the website and in the workshops section.
It is easy to navigate with tabs to move you around.
Calculation Hierarchy Challenge
(10 mins)
As a little refresher and to get you looking at the Hierarchy…
Have a quick go at 1 of the calculations below using:
a) Number line method (+/-), Grid method (x), Chunking (divide)
b) Column methods
1. 44 + 27
2. 283 – 136
3. 7 x 26
4. 444 divided by 6
Questions and Feedback
We have a feedback form we would like you to fill in.
Also, we will be available in the foyer to answer questions
for about 30mins
Mathematics at BIS
Thank you for
coming
Mr Iain Hope and Miss Hasina Khanum