{"id":753,"date":"2019-04-01T15:35:52","date_gmt":"2019-04-01T14:35:52","guid":{"rendered":"https:\/\/blogs.glowscotland.org.uk\/ab\/sali\/?p=753"},"modified":"2022-01-11T12:24:06","modified_gmt":"2022-01-11T12:24:06","slug":"stages-of-early-arithmetical-learning","status":"publish","type":"post","link":"https:\/\/blogs.glowscotland.org.uk\/ab\/sali\/2019\/04\/01\/stages-of-early-arithmetical-learning\/","title":{"rendered":"Stages of Early Arithmetical Learning"},"content":{"rendered":"<h1>What is SEAL?<\/h1>\n<p><strong>SEAL<\/strong> stands for <strong>S<\/strong>tages of <strong>E<\/strong>arly <strong>A<\/strong>rithmetical <strong>L<\/strong>earning.<\/p>\n<p>In 1992 Dr. Robert Wright began developing the Maths Recovery Programme.\u00a0 This is an evidence based intensive assessment and intervention process for targeting pupils who are having difficulties with numeracy and maths.\u00a0 The underlying model for Maths Recovery was that children acquire strategies and numerical knowledge through a series of different stages &#8211; the Stages of Early Arithmetical Learning.\u00a0 It looks at the relative sophistication of children&#8217;s strategies for dealing with number and allows teachers to build on those skills.\u00a0 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.\u00a0 The progression of SEAL\u00a0is as follows:<\/p>\n<p><strong>Emergent<\/strong><\/p>\n<p><strong>Perceptual<\/strong><\/p>\n<p><strong>Figurative<\/strong><\/p>\n<p><strong>Counting on<\/strong><\/p>\n<p><strong>Facile<\/strong><\/p>\n<p>Over the years it has been recognised that using the Maths Recovery approaches can promote problem solving in numeracy.\u00a0 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 &#8220;tricks&#8221;.<\/p>\n<p>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&#8217;s strategies.\u00a0 The planner is available to download here:<\/p>\n<p><a href=\"https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/05121058\/SEAL-Forward-Planners-All-stages.docx\">SEAL-Forward-Planners-All-stages<\/a><\/p>\n<p><a href=\"https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/05121122\/SEAL-Forward-Planners-blank-for-all-stages.docx\">SEAL-Forward-Planners-blank-for-all-stages<\/a><\/p>\n<p>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:<\/p>\n<p><a href=\"https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/05121139\/Diagnostic-assessment.docx\">Diagnostic-assessment<\/a><\/p>\n<p>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.\u00a0 Also, try to end the assessment on a positive note by returning to an activity where they pupil has been successful.\u00a0 For any further support or to chat it through please contact <a href=\"mailto:Maria.Mcarthur2@argyll-bute.gov.uk\">Maria.Mcarthur2@argyll-bute.gov.uk<\/a><\/p>\n<p>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. &#8220;Teaching Number: Advancing children&#8217;s skills and strategies&#8221; and copies of this book are available at various different retailers including Amazon and Brown&#8217;s Books for Students.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-2715\" src=\"https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/11122132\/teaching-number-279x300.jpg\" alt=\"\" width=\"279\" height=\"300\" srcset=\"https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/11122132\/teaching-number-279x300.jpg 279w, https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/11122132\/teaching-number.jpg 400w\" sizes=\"auto, (max-width: 279px) 100vw, 279px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>At the moment we have 10 schools piloting the use of SEAL at Primary 1, with the SEAL planner replacing their numeracy work.\u00a0 The 10 schools are:\u00a0 Tobermory Primary, Salen Primary, Kilmartin Primary, Lochgilphead Primary, Inveraray Primary, Kirn Primary, Sandbank Primary, Dunoon Primary, Colgrain Primary and Park Primary.\u00a0 The first training day took place in September with colleagues from West Dunbartonshire Council providing the training, working closely with our own Numeracy team.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2716\" src=\"https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/11122204\/31E6A6CC-C3AE-40E1-8754-A5A548BB5936-300x225-1.jpeg\" alt=\"\" width=\"300\" height=\"225\" \/><\/p>\n<p>&nbsp;<\/p>\n<h4><strong><em>Our practitioners hard at work on the first training day.<\/em><\/strong><\/h4>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-2717\" src=\"https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/11122235\/EE008FB1-3BC1-4CF6-930E-153B2CA1328C-300x182.jpeg\" alt=\"\" width=\"300\" height=\"182\" srcset=\"https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/11122235\/EE008FB1-3BC1-4CF6-930E-153B2CA1328C-300x182.jpeg 300w, https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/11122235\/EE008FB1-3BC1-4CF6-930E-153B2CA1328C-1024x622.jpeg 1024w, https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/11122235\/EE008FB1-3BC1-4CF6-930E-153B2CA1328C-768x466.jpeg 768w, https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/11122235\/EE008FB1-3BC1-4CF6-930E-153B2CA1328C.jpeg 1260w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h4><em><strong>The packs that were provided for each of our pilot schools.\u00a0 To find out how to order these packs please contact Maria McArthur.<\/strong><\/em><\/h4>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Our second training day took place on Wednesday 24th\u00a0January at the Inveraray Inn.\u00a0\u00a0The practitioners all found the session useful and commented particularly on how\u00a0helpful it was to be able to discuss and share ideas with others.\u00a0 We are again grateful to the West Dunbartonshire Raising Attainment Team for their excellent presentation and for all of the guidance that they provided.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-2719\" src=\"https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/11122341\/IMG_2801-300x225.jpg\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/11122341\/IMG_2801-300x225.jpg 300w, https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/11122341\/IMG_2801-1024x768.jpg 1024w, https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/11122341\/IMG_2801-768x576.jpg 768w, https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/11122341\/IMG_2801.jpg 1260w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-2718\" src=\"https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/11122327\/IMG_2797-300x225.jpg\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/11122327\/IMG_2797-300x225.jpg 300w, https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/11122327\/IMG_2797-1024x768.jpg 1024w, https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/11122327\/IMG_2797-768x576.jpg 768w, https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/11122327\/IMG_2797.jpg 1260w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><em><strong>Lots of engaging professional discussion on using the Perceptual and Figurative planners to support addition and subtraction.<\/strong><\/em><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-2720\" src=\"https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/11122358\/IMG_2799-300x225.jpg\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/11122358\/IMG_2799-300x225.jpg 300w, https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/11122358\/IMG_2799-1024x768.jpg 1024w, https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/11122358\/IMG_2799-768x576.jpg 768w, https:\/\/blogs.glowscotland.org.uk\/ab\/public\/sali\/uploads\/sites\/1389\/2019\/04\/11122358\/IMG_2799.jpg 1260w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><em><strong>How many different ways can we make 5?\u00a0 Importance of using a variety of concrete materials to assess understanding.<\/strong><\/em><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>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 <a href=\"mailto:Maria.Mcarthur2@argyll-bute.gov.uk\">Maria.Mcarthur2@argyll-bute.gov.uk<\/a><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is SEAL? SEAL stands for Stages of Early Arithmetical Learning. In 1992 Dr. Robert Wright began developing the Maths Recovery Programme.\u00a0 This is an evidence based intensive assessment and intervention process for targeting pupils who are having difficulties with numeracy and maths.\u00a0 The underlying model for Maths Recovery was that children acquire strategies and &hellip; <a href=\"https:\/\/blogs.glowscotland.org.uk\/ab\/sali\/2019\/04\/01\/stages-of-early-arithmetical-learning\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Stages of Early Arithmetical Learning<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2488,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[40],"tags":[],"class_list":["post-753","post","type-post","status-publish","format-standard","hentry","category-subposts-numeracy"],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/blogs.glowscotland.org.uk\/ab\/sali\/wp-json\/wp\/v2\/posts\/753","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.glowscotland.org.uk\/ab\/sali\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.glowscotland.org.uk\/ab\/sali\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.glowscotland.org.uk\/ab\/sali\/wp-json\/wp\/v2\/users\/2488"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.glowscotland.org.uk\/ab\/sali\/wp-json\/wp\/v2\/comments?post=753"}],"version-history":[{"count":4,"href":"https:\/\/blogs.glowscotland.org.uk\/ab\/sali\/wp-json\/wp\/v2\/posts\/753\/revisions"}],"predecessor-version":[{"id":2721,"href":"https:\/\/blogs.glowscotland.org.uk\/ab\/sali\/wp-json\/wp\/v2\/posts\/753\/revisions\/2721"}],"wp:attachment":[{"href":"https:\/\/blogs.glowscotland.org.uk\/ab\/sali\/wp-json\/wp\/v2\/media?parent=753"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.glowscotland.org.uk\/ab\/sali\/wp-json\/wp\/v2\/categories?post=753"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.glowscotland.org.uk\/ab\/sali\/wp-json\/wp\/v2\/tags?post=753"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}