{"id":1858,"date":"2017-04-27T03:47:26","date_gmt":"2017-04-27T03:47:26","guid":{"rendered":"http:\/\/hfschool.net\/?page_id=1858"},"modified":"2017-10-23T03:54:37","modified_gmt":"2017-10-23T03:54:37","slug":"mathematics-in-focus","status":"publish","type":"page","link":"https:\/\/highfields.nsw.edu.au\/index.php\/mathematics-in-focus\/","title":{"rendered":"Mathematics that Counts"},"content":{"rendered":"<h3>Mathematics that Counts<\/h3>\n<h3><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" data-attachment-id=\"2595\" data-permalink=\"https:\/\/highfields.nsw.edu.au\/index.php\/staff\/olympus-digital-camera-22\/\" data-orig-file=\"https:\/\/i0.wp.com\/highfields.nsw.edu.au\/wp-content\/uploads\/2016\/06\/P5152410.jpg?fit=4032%2C3024&amp;ssl=1\" data-orig-size=\"4032,3024\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;4&quot;,&quot;camera&quot;:&quot;E-PL3&quot;,&quot;caption&quot;:&quot;OLYMPUS DIGITAL CAMERA&quot;,&quot;created_timestamp&quot;:&quot;1463284193&quot;,&quot;focal_length&quot;:&quot;19&quot;,&quot;iso&quot;:&quot;400&quot;,&quot;shutter_speed&quot;:&quot;0.0166666666667&quot;,&quot;title&quot;:&quot;OLYMPUS DIGITAL CAMERA&quot;,&quot;orientation&quot;:&quot;1&quot;}\" data-image-title=\"OLYMPUS DIGITAL CAMERA\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/highfields.nsw.edu.au\/wp-content\/uploads\/2016\/06\/P5152410.jpg?fit=790%2C593&amp;ssl=1\" class=\"wp-image-2595 alignright\" style=\"font-size: 17px; font-weight: 400;\" src=\"https:\/\/i0.wp.com\/hfschool.net\/wp-content\/uploads\/2016\/06\/P5152410-1024x768.jpg?resize=441%2C331\" alt=\"\" width=\"441\" height=\"331\" srcset=\"https:\/\/i0.wp.com\/highfields.nsw.edu.au\/wp-content\/uploads\/2016\/06\/P5152410.jpg?resize=1024%2C768&amp;ssl=1 1024w, https:\/\/i0.wp.com\/highfields.nsw.edu.au\/wp-content\/uploads\/2016\/06\/P5152410.jpg?resize=300%2C225&amp;ssl=1 300w, https:\/\/i0.wp.com\/highfields.nsw.edu.au\/wp-content\/uploads\/2016\/06\/P5152410.jpg?resize=768%2C576&amp;ssl=1 768w, https:\/\/i0.wp.com\/highfields.nsw.edu.au\/wp-content\/uploads\/2016\/06\/P5152410.jpg?w=1580 1580w, https:\/\/i0.wp.com\/highfields.nsw.edu.au\/wp-content\/uploads\/2016\/06\/P5152410.jpg?w=2370 2370w\" sizes=\"auto, (max-width: 441px) 100vw, 441px\" \/><\/h3>\n<p style=\"text-align: center;\"><em>\u201cTo learn mathematics students must construct it for themselves. They can only do that by exploring, justifying, representing, discussing, using, describing, investigating, predicting, in short by being active in the world.\u201d <\/em><\/p>\n<p style=\"text-align: center;\">Countryman (1992) as cited in Kroll &amp; Halaby, 1997, <em>Young Children<\/em>, p.55<\/p>\n<p>Mathematics must make sense to children and as such should be learned in meaningful and functional contexts. It is for this reason that we see hands-on experiences working with mathematical concepts and understandings as an essential foundation for all our maths work with the children. Opportunities are made for children to explore ideas using concrete materials and real situations to reinforce the relevance of maths in our everyday lives. Discussions are focussed on strategies and are used strategically to introduce and model the vocabulary the children will need to communicate \u2018mathematically\u2019.<\/p>\n<p>By asking open-ended questions and leading the children into challenges our teachers act as insightful facilitators of learning. A simple question such as, \u2018Did anyone get the same answer in a different way?\u2019 can provide a wealth of strategies to the class as the children articulate their understandings and methods in a group context.<\/p>\n<p>A common sequence of events during a maths session would be:<\/p>\n<ul>\n<li><strong>Warming up<\/strong> with a maths game to tune the children in<\/li>\n<li><strong>Modelling<\/strong> of the concept, task(s) and vocabulary.<\/li>\n<li><strong>Completing<\/strong> the task(s) set<\/li>\n<li><strong>Recording<\/strong> and <strong>Reflecting<\/strong> on what has been learnt<\/li>\n<li><strong>Sharing<\/strong> of work by a small sample of children to conclude.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mathematics that Counts \u201cTo learn mathematics students must construct it for themselves. They can only do that by exploring, justifying, representing, discussing, using, describing, investigating, predicting, in short by being active in the world.\u201d Countryman (1992) as cited in Kroll &amp; Halaby, 1997, Young Children, p.55 Mathematics must make sense to children and as such should be learned in meaningful and functional contexts. It is&hellip; <\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1858","page","type-page","status-publish","hentry","clearfix"],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/P7EWEu-tY","jetpack-related-posts":[{"id":244,"url":"https:\/\/highfields.nsw.edu.au\/index.php\/individual-programs-2\/","url_meta":{"origin":1858,"position":0},"title":"Learning Enrichment","author":"EGibbs","date":"28 June 2016","format":false,"excerpt":"Learning Enrichment Learning enrichment is a part of daily life at Highfields. Our small class sizes ensure teachers have constant opportunities to work closely with individuals and small groups of children, targeting instruction to match each child\u2019s strengths, needs and interests. This means that most learning enrichment goals, either through\u2026","rel":"","context":"Similar post","block_context":{"text":"Similar post","link":""},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/hfschool.net\/wp-content\/uploads\/2016\/06\/C4917-071-1024x684.jpg?resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/hfschool.net\/wp-content\/uploads\/2016\/06\/C4917-071-1024x684.jpg?resize=350%2C200 1x, https:\/\/i0.wp.com\/hfschool.net\/wp-content\/uploads\/2016\/06\/C4917-071-1024x684.jpg?resize=525%2C300 1.5x"},"classes":[]},{"id":1884,"url":"https:\/\/highfields.nsw.edu.au\/index.php\/prep-school\/","url_meta":{"origin":1858,"position":1},"title":"K-2","author":"EGibbs","date":"27 April 2017","format":false,"excerpt":"K-2 K-2 at Highfields consists of two classes in Kindergarten, Year 1 and Year 2. Each class has approximately 16 students and enjoys the extra support of a classroom assistant in addition to the class teachers for key learning times. A tradition of nurturing individual academic excellence across key learning\u2026","rel":"","context":"Similar post","block_context":{"text":"Similar post","link":""},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/hfschool.net\/wp-content\/uploads\/2016\/06\/P1011759-1024x768.jpg?resize=350%2C200","width":350,"height":200},"classes":[]},{"id":58,"url":"https:\/\/highfields.nsw.edu.au\/index.php\/experiential-curriculum\/","url_meta":{"origin":1858,"position":2},"title":"Experiential Curriculum","author":"EGibbs","date":"22 June 2016","format":false,"excerpt":"Experiential Curriculum \u00a0At Highfields we endeavour to follow children\u2019s interests in the class\u00a0investigations explored each term and curriculum areas (English, Mathematics, Science and Technology, History, Geography, Personal Development, Health and Physical Education and Creative Arts)\u00a0are incorporated within those class\u00a0investigations. Teachers begin by listening to the children\u2019s understandings about a particular\u2026","rel":"","context":"Similar post","block_context":{"text":"Similar post","link":""},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/highfields.nsw.edu.au\/wp-content\/uploads\/2016\/06\/DSC_5783.jpg?fit=1200%2C795&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/highfields.nsw.edu.au\/wp-content\/uploads\/2016\/06\/DSC_5783.jpg?fit=1200%2C795&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/highfields.nsw.edu.au\/wp-content\/uploads\/2016\/06\/DSC_5783.jpg?fit=1200%2C795&ssl=1&resize=525%2C300 1.5x, https:\/\/i0.wp.com\/highfields.nsw.edu.au\/wp-content\/uploads\/2016\/06\/DSC_5783.jpg?fit=1200%2C795&ssl=1&resize=700%2C400 2x, https:\/\/i0.wp.com\/highfields.nsw.edu.au\/wp-content\/uploads\/2016\/06\/DSC_5783.jpg?fit=1200%2C795&ssl=1&resize=1050%2C600 3x"},"classes":[]}],"_links":{"self":[{"href":"https:\/\/highfields.nsw.edu.au\/index.php\/wp-json\/wp\/v2\/pages\/1858","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/highfields.nsw.edu.au\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/highfields.nsw.edu.au\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/highfields.nsw.edu.au\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/highfields.nsw.edu.au\/index.php\/wp-json\/wp\/v2\/comments?post=1858"}],"version-history":[{"count":12,"href":"https:\/\/highfields.nsw.edu.au\/index.php\/wp-json\/wp\/v2\/pages\/1858\/revisions"}],"predecessor-version":[{"id":3327,"href":"https:\/\/highfields.nsw.edu.au\/index.php\/wp-json\/wp\/v2\/pages\/1858\/revisions\/3327"}],"wp:attachment":[{"href":"https:\/\/highfields.nsw.edu.au\/index.php\/wp-json\/wp\/v2\/media?parent=1858"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}