All posts by Maria McArthur

Stages of Early Arithmetical Learning

What is SEAL?

SEAL stands for Stages of Early Arithmetical Learning.

In 1992 Dr. Robert Wright began developing the Maths Recovery Programme.  This is an evidence based intensive assessment and intervention process for targeting pupils who are having difficulties with numeracy and maths.  The underlying model for Maths Recovery was that children acquire strategies and numerical knowledge through a series of different stages – the Stages of Early Arithmetical Learning.  It looks at the relative sophistication of children’s strategies for dealing with number and allows teachers to build on those skills.  For example, the child who has no means of working out 9 + 3 other than counting out nine counters, then counting out three counters and then counting all of the counters from 1 to 12, is using a far less sophisticated strategy who can say 9 + 3 is the same as 10 + 12 so I know that the answer is 12.  The progression of SEAL is as follows:

Emergent

Perceptual

Figurative

Counting on

Facile

Over the years it has been recognised that using the Maths Recovery approaches can promote problem solving in numeracy.  By using this approach in our classes we can ensure that learners have a firm foundation for understanding number, as it ensures that their strategies are based on understanding rather than on processes or “tricks”.

To help promote this in schools, planners have been created which support the different stages of SEAL and also provide teachers with activities which help to develop children’s strategies.  The planner is available to download here:

SEAL Forward Planners – All stages

SEAL Forward Planners – blank for all stages

In order to ensure that each pupil is working at the correct stage, there is also a diagnostic assessment that can be used to help which is available to download here:

Diagnostic assessment

The assessment is best completed on a one-to-one with each pupil and it is important not to give any visual clues or prompts.  Also, try to end the assessment on a positive note by returning to an activity where they pupil has been successful.  For any further support or to chat it through please contact Maria.Mcarthur2@argyll-bute.gov.uk

Once you have completed the diagnostic, or decided which planner to start on, the activities to follow with each stage can be found in the book by Robert J. Wright et al. “Teaching Number: Advancing children’s skills and strategies” and copies of this book are available at various different retailers including Amazon and Brown’s Books for Students.

At the moment we have 10 schools piloting the use of SEAL at Primary 1, with the SEAL planner replacing their numeracy work.  The 10 schools are:  Tobermory Primary, Salen Primary, Kilmartin Primary, Lochgilphead Primary, Inveraray Primary, Kirn Primary, Sandbank Primary, Dunoon Primary, Colgrain Primary and Park Primary.  The first training day took place in September with colleagues from West Dunbartonshire Council providing the training, working closely with our own Numeracy team.

 

Our practitioners hard at work on the first training day.

 

 

 

 

The packs that were provided for each of our pilot schools.  To find out how to order these packs please contact Maria McArthur.

 

 

Our second training day took place on Wednesday 24th January at the Inveraray Inn.  The practitioners all found the session useful and commented particularly on how helpful it was to be able to discuss and share ideas with others.  We are again grateful to the West Dunbartonshire Raising Attainment Team for their excellent presentation and for all of the guidance that they provided.

  

Lots of engaging professional discussion on using the Perceptual and Figurative planners to support addition and subtraction.


 

How many different ways can we make 5?  Importance of using a variety of concrete materials to assess understanding.

 

 

If you are interested in using this approach in your own school, or you are looking for further support around developing SEAL then please contact Maria.Mcarthur2@argyll-bute.gov.uk

 

Concrete Materials in Argyll and Bute

Argyll and Bute welcomed Mark McCourt from LaSalleEducation in September for a day’s training on Concrete, Pictorial, Abstract, Language and how practitioners can use this approach in their classes, from Early Years to National 5.  Over 40 practitioners attended this event, with our secondary colleagues being provided with a bundle of resources to trial with their classes.


 

 

 

 

 

 

The use of concrete materials to support our younger learners is well established in our schools however it is important to ensure that all of our pupils can benefit from this approach and that using concrete materials will allow learners to develop a strong conceptual understanding of mathematics.


Lots and lots of different ways to be using your Numicon with the Early Years!  We especially love the spaghetti challenge!  How many pieces of Numicon can you string onto a piece of spaghetti?  This also helps to develop fine motor control and mark making so it all fits in beautifully with the literacy strategies being developed for the Early Years!  Do you have any fantastic photos to share?  Email them to: Maria.Mcarthur2@argyll-bute.gov.uk

How many different ways can you make the story of 8?

 

Maths Week 2018

Just a few of the fantastic selfies we received for last year’s ‘How Many?’ competition.

  

  Clyde Cottage Nursery                                                                                                    P4 at Dalintober Primary

           Dalmally Primary                                                                                                  P1 at Ardrishaig Primary

We cannot wait to see your wonderful ‘Maths is Beautiful’ pictures for this year’s picture competition – remember to send them in to activeinlearning@argyll-bute.gov.uk.  We will be using your fantastic shots to create a SWAY showing just how beautiful maths can be and how it is truly all around us.  If you are looking for some ideas about ‘Maths is Beautiful’ then click on one of the links below:

Finding Fractals in Nature

Optical Art

Finding Fibonnaci

Please have a look at :

https://blogs.gov.scot/making-maths-count/

for events taking place across Scotland during Maths Week Scotland.  There are a range of resources and links on the website and the Twitter account will share additional information and promote activity.  Follow @MathsScot to keep up-to-date.

Twinkl have created a set of maths resources for Maths Week Scotland which are free to teachers in the week before and during Maths Week:

http://www.twinkl.com/

Here are a few more activities that you could use:

How Many Rows for ages 8 to 14     Tic-Tac-Toe-Sums for ages 6 to 10     Worms

If you have any other fantastic ideas or news items you would like to share with us then we would love to hear about them!  Twitter will be going #MathsWeekScot crazy.

earlylevelclassresourcepack

firstlevelclassresourcepack

secondlevelclassresourcepack

secondandthirdlevelclassresourcepack

Scottish Mathematical Council

 

Planning, Assessment and Moderation in Numeracy

This document has been circulated by Education Scotland to promote professional dialogue within schools and to help staff create good learning intentions.  Recent feedback from the QAMSO events in Scotland showed that there was still a mismatch between understanding of Learning Intentions and Success Criteria.  This document may help!

WhatmakesagoodLearningIntention_tcm4-660845

Education Scotland have also published a document discussing the Significant Aspects of Learning and how to assess progress and achievement in numeracy which may provide a starting point for professional dialogue:

Assessing progress and achievement in numeracy and mathematics

When discussing planning, assessment and moderation within your establishment it is a good idea to use the guidance on achieving a level to help guide and provide a focus for professional dialogue:

achievement-of-a-level-poster

Click on the links below to see some planning examples, including holistic assessments that are being used in some of our schools.  These examples are designed to encourage professional dialogue around planning within your own establishments.  The examples include the key elements within NAR:  experiences and outcomes, learning intentions and success criteria, quality learning experiences, assessment, evaluation of learning, feedback and next steps and reporting.  There is no expectation that your plans include all of these elements however it is important that professional dialogue takes place around all of them.

third level planning format

third level planning second format

second level planning format

second level planning second format

MathsNARPlanningGlenbarrPrimary

Here is an example of a second level planner which bundles together four numeracy outcomes and two maths outcomes.  It includes the learning intentions, planned learning and teaching, hinge questions and the holistic assessment that would be used with the learners towards the end of the block of learning.

Bundling Numeracy and Maths

If you have any examples of bundling and holistic assessment that you would be willing to share with us then please email Maria.Mcarthur2@argyll-bute.gov.uk