{"id":311,"date":"2010-08-29T18:48:22","date_gmt":"2010-08-30T01:48:22","guid":{"rendered":"http:\/\/www.billselak.com\/educ448"},"modified":"2011-10-13T18:27:22","modified_gmt":"2011-10-14T01:27:22","slug":"week6","status":"publish","type":"page","link":"https:\/\/www.billselak.com\/educ448\/semester\/week6","title":{"rendered":"Week 6: Processing Strands"},"content":{"rendered":"<p>Click images to view slideshow full screen.<\/p>\n<h3>Problem Solving<\/h3>\n<p>\u2022\tbuild new mathematical knowledge through problem solving;<br \/>\n\u2022\tsolve problems that arise in mathematics and in other contexts;<br \/>\n\u2022\tapply and adapt a variety of appropriate strategies to solve problems;<br \/>\n\u2022\tmonitor and reflect on the process of mathematical problem solving.<\/p>\n<h3><a href=\"http:\/\/billselak.com\/educ448\/images\/processingstrands7.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" title=\"prob solv\" src=\"http:\/\/billselak.com\/educ448\/images\/processingstrands7.jpg\" alt=\"\" width=\"395\" height=\"295\" \/><\/a><\/h3>\n<h3><a href=\"http:\/\/billselak.com\/educ448\/images\/processingstrands6.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" title=\"prob solving\" src=\"http:\/\/billselak.com\/educ448\/images\/processingstrands6.jpg\" alt=\"\" width=\"395\" height=\"222\" \/><\/a><\/h3>\n<h3>Reasoning<\/h3>\n<p>\u2022\trecognize reasoning and proof as fundamental aspects of mathematics;<br \/>\n\u2022\tmake and investigate mathematical conjectures;<br \/>\n\u2022\tdevelop and evaluate mathematical arguments and proofs;<br \/>\n\u2022\tselect and use various types of reasoning and methods of proof.<\/p>\n<h3><a href=\"http:\/\/billselak.com\/educ448\/images\/processingstrands3.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" title=\"prob solv\" src=\"http:\/\/billselak.com\/educ448\/images\/processingstrands3.jpg\" alt=\"\" width=\"395\" height=\"207\" \/><\/a><\/h3>\n<h3><a href=\"http:\/\/billselak.com\/educ448\/images\/processingstrands2.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" title=\"prob solv\" src=\"http:\/\/billselak.com\/educ448\/images\/processingstrands2.jpg\" alt=\"\" width=\"395\" height=\"190\" \/><\/a><\/h3>\n<h3>Communication<\/h3>\n<p>\u2022\torganize and consolidate their mathematical thinking through communication;<br \/>\n\u2022\tcommunicate their mathematical thinking coherently and clearly to peers, teachers, and others;<br \/>\n\u2022\tanalyze and evaluate the mathematical thinking and strategies of others;<br \/>\n\u2022\tuse the language of mathematics to express mathematical ideas precisely.<\/p>\n<h3><a href=\"http:\/\/billselak.com\/educ448\/images\/processingstrands5.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" title=\"prob solv\" src=\"http:\/\/billselak.com\/educ448\/images\/processingstrands5.jpg\" alt=\"\" width=\"395\" height=\"203\" \/><\/a><\/h3>\n<h3><a href=\"http:\/\/billselak.com\/educ448\/images\/processingstrands4.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" title=\"prob solv\" src=\"http:\/\/billselak.com\/educ448\/images\/processingstrands4.jpg\" alt=\"\" width=\"395\" height=\"146\" \/><\/a><\/h3>\n<h3>Connections<\/h3>\n<p>\u2022\trecognize and use connections among mathematical ideas;<br \/>\n\u2022\tunderstand how mathematical ideas interconnect and build on one another to produce a coherent whole;<br \/>\n\u2022\trecognize and apply mathematics in contexts outside of mathematics.<\/p>\n<h3><a href=\"http:\/\/billselak.com\/educ448\/images\/processingstrands1.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" title=\"prob solv\" src=\"http:\/\/billselak.com\/educ448\/images\/processingstrands1.jpg\" alt=\"\" width=\"395\" height=\"168\" \/><\/a><\/h3>\n<h3>Representation<\/h3>\n<p>\u2022\tcreate and use representations to organize, record, and communicate mathematical ideas;<br \/>\n\u2022\tselect, apply, and translate among mathematical representations to solve problems;<br \/>\n\u2022\tuse representations to model and interpret physical, social, and mathematical phenomena.<\/p>\n<h3><a href=\"http:\/\/billselak.com\/educ448\/images\/processingstrands8.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" title=\"prob solv\" src=\"http:\/\/billselak.com\/educ448\/images\/processingstrands8.jpg\" alt=\"\" width=\"395\" height=\"188\" \/><\/a><\/h3>\n<h3>Making Math Make Sense<\/h3>\n<div id=\"__ss_1296436\" style=\"width: 425px; text-align: left;\"><object classid=\"clsid:d27cdb6e-ae6d-11cf-96b8-444553540000\" width=\"425\" height=\"355\" codebase=\"http:\/\/download.macromedia.com\/pub\/shockwave\/cabs\/flash\/swflash.cab#version=6,0,40,0\"><param name=\"data\" value=\"http:\/\/static.slidesharecdn.com\/swf\/ssplayer2.swf?doc=week4-key-090415191618-phpapp01&amp;stripped_title=making-math-make-sense-educ448-week-4\" \/><param name=\"allowFullScreen\" value=\"true\" \/><param name=\"allowScriptAccess\" value=\"always\" \/><param name=\"src\" value=\"http:\/\/static.slidesharecdn.com\/swf\/ssplayer2.swf?doc=week4-key-090415191618-phpapp01&amp;stripped_title=making-math-make-sense-educ448-week-4\" \/><param name=\"allowfullscreen\" value=\"true\" \/><embed type=\"application\/x-shockwave-flash\" width=\"425\" height=\"355\" src=\"http:\/\/static.slidesharecdn.com\/swf\/ssplayer2.swf?doc=week4-key-090415191618-phpapp01&amp;stripped_title=making-math-make-sense-educ448-week-4\" allowscriptaccess=\"always\" allowfullscreen=\"true\" data=\"http:\/\/static.slidesharecdn.com\/swf\/ssplayer2.swf?doc=week4-key-090415191618-phpapp01&amp;stripped_title=making-math-make-sense-educ448-week-4\"><\/embed><\/object><\/p>\n<div style=\"font-size: 11px; font-family: tahoma,arial; height: 26px; padding-top: 2px;\">View more <a style=\"text-decoration: underline;\" href=\"http:\/\/www.slideshare.net\/\">presentations<\/a> from <a style=\"text-decoration: underline;\" href=\"http:\/\/www.slideshare.net\/billselak\">Bill Selak<\/a>.<\/div>\n<\/div>\n<p><img loading=\"lazy\" decoding=\"async\" style=\"padding: 15px;\" title=\"calculator\" src=\"http:\/\/farm4.static.flickr.com\/3651\/3403676421_e8357b1a73_m.jpg\" alt=\"\" width=\"240\" height=\"161\" \/>Due:\u00a0Preschool Fieldwork Hours<\/p>\n<p>1. Y.C. &#8211; Ch. 2 Principles in Teaching Math<\/p>\n<ul>\n<li>Principles in Curriculum<\/li>\n<li>Principles in Instruction<\/li>\n<li>Principles in Assessment<\/li>\n<\/ul>\n<p>2. Burns \u2013 Ch. 6 and 7:\u00a0Calculators, Crutch or Tool?<\/p>\n<p>(Activity) 1 person works with calculator, 1 person works without a calculator \u2013 discuss implications of using a calculator in specific situations.<\/p>\n<p>3. Y. C. Ch 3:\u00a0Mathematics Processes in Early Childhood Curriculum.\u00a0Work in assigned dyads to read about and present one process strand to the class. Highlight key ideas from the chapter:<\/p>\n<ul>\n<li>Problem Solving (pg. 29 \u2013 33)<\/li>\n<li>Reasoning (pg. 34 \u2013 38)<\/li>\n<li>Communication (pg. 38 \u2013 40)<\/li>\n<li>Connecting (pg. 40 \u2013 42)<\/li>\n<li>Representing (43 \u2013 45)<\/li>\n<\/ul>\n<p>As you prepared your presentations, you needed to analyze, explain, identify, and compare aspects of your strand. On <a href=\"http:\/\/www.teachers.ash.org.au\/researchskills\/dalton.htm\">Bloom&#8217;s Taxonomy<\/a>, this level of thinking is <a href=\"http:\/\/www.teachers.ash.org.au\/researchskills\/dalton.htm\">analysis<\/a>. Always think of <a href=\"http:\/\/www.teachers.ash.org.au\/researchskills\/dalton.htm\">Bloom&#8217;s<\/a> when designing lessons.<\/p>\n<p><a href=\"https:\/\/docs.google.com\/document\/pub?id=17vLRl7Mfd076-8iUq0bq1s5pY6UaerjgjjqrkrP9bvU\" target=\"_blank\">View notes from Google doc<\/a><br \/>\n<iframe loading=\"lazy\" src=\"https:\/\/docs.google.com\/document\/pub?id=17vLRl7Mfd076-8iUq0bq1s5pY6UaerjgjjqrkrP9bvU&amp;embedded=true\" width=\"500\" height=\"600\"><\/iframe><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Click images to view slideshow full screen. Problem Solving \u2022 build new mathematical knowledge through problem solving; \u2022 solve problems that arise in mathematics and in other contexts; \u2022 apply and adapt a variety of appropriate strategies to solve problems; \u2022 monitor and reflect on the process of mathematical problem solving. Reasoning \u2022 recognize reasoning &hellip; <a href=\"https:\/\/www.billselak.com\/educ448\/semester\/week6\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":296,"menu_order":0,"comment_status":"open","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-311","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.billselak.com\/educ448\/wp-json\/wp\/v2\/pages\/311","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.billselak.com\/educ448\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.billselak.com\/educ448\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.billselak.com\/educ448\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.billselak.com\/educ448\/wp-json\/wp\/v2\/comments?post=311"}],"version-history":[{"count":8,"href":"https:\/\/www.billselak.com\/educ448\/wp-json\/wp\/v2\/pages\/311\/revisions"}],"predecessor-version":[{"id":583,"href":"https:\/\/www.billselak.com\/educ448\/wp-json\/wp\/v2\/pages\/311\/revisions\/583"}],"up":[{"embeddable":true,"href":"https:\/\/www.billselak.com\/educ448\/wp-json\/wp\/v2\/pages\/296"}],"wp:attachment":[{"href":"https:\/\/www.billselak.com\/educ448\/wp-json\/wp\/v2\/media?parent=311"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}