{"id":903,"date":"2010-06-10t21:07:16","date_gmt":"2010-06-11t03:07:16","guid":{"rendered":"\/\/www.imrbdigital.com\/"},"modified":"2021-02-26t14:54:34","modified_gmt":"2021-02-26t19:54:34","slug":"problem-solving","status":"publish","type":"page","link":"\/\/www.imrbdigital.com\/guides-sub-pages\/problem-solving\/","title":{"rendered":"teaching problem solving"},"content":{"rendered":"
print version<\/a><\/p>\n <\/p>\n experts (teachers) in a particular field are often so fluent in solving problems from that field that they can find it difficult to articulate the problem solving principles and strategies they use to novices (students) in their field because these principles and strategies are second nature to the expert. to teach students problem solving skills,\u00a0a teacher should be aware of principles and strategies of good problem solving in his or her discipline<\/strong>.<\/p>\n the mathematician george polya captured the problem solving principles and strategies he used in his discipline in the book\u00a0how to solve it: a new aspect of mathematical method<\/em>(princeton university press, 1957). the book includes\u00a0a summary of polya’s problem solving heuristic<\/a> as well as advice on the teaching of problem solving.<\/p>\n <\/p>\n <\/a> print version tips and techniques expert vs. novice problem solvers tips and techniques communicate have students\u00a0identify specific problems, difficulties, or confusions. don’t waste time working through problems that students already understand. if students are unable to articulate their concerns, determine where they are having trouble by\u00a0asking them to identify the specific concepts or principles associated…<\/p>\n","protected":false},"author":452,"featured_media":0,"parent":18232,"menu_order":89,"comment_status":"open","ping_status":"closed","template":"","meta":{"spay_email":"","_links_to":"","_links_to_target":""},"tags":[],"acf":[],"_links":{"self":[{"href":"\/\/www.imrbdigital.com\/wp-json\/wp\/v2\/pages\/903"}],"collection":[{"href":"\/\/www.imrbdigital.com\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"\/\/www.imrbdigital.com\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"\/\/www.imrbdigital.com\/wp-json\/wp\/v2\/users\/452"}],"replies":[{"embeddable":true,"href":"\/\/www.imrbdigital.com\/wp-json\/wp\/v2\/comments?post=903"}],"version-history":[{"count":8,"href":"\/\/www.imrbdigital.com\/wp-json\/wp\/v2\/pages\/903\/revisions"}],"predecessor-version":[{"id":37847,"href":"\/\/www.imrbdigital.com\/wp-json\/wp\/v2\/pages\/903\/revisions\/37847"}],"up":[{"embeddable":true,"href":"\/\/www.imrbdigital.com\/wp-json\/wp\/v2\/pages\/18232"}],"wp:attachment":[{"href":"\/\/www.imrbdigital.com\/wp-json\/wp\/v2\/media?parent=903"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"\/\/www.imrbdigital.com\/wp-json\/wp\/v2\/tags?post=903"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
<\/a>tips and techniques<\/h2>\n
communicate<\/strong><\/h4>\n
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\ntwo-column solution (math)<\/a>
\ntwo-column solution (physics)<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\nencourage independence<\/strong><\/h4>\n
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be sensitive<\/strong><\/h4>\n
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encourage thoroughness and patience<\/strong><\/h4>\n
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<\/a>expert vs. novice problem solvers<\/h2>\n
\nnovices in a particular field typically have not yet developed effective problem solving principles and strategies.\u00a0helping students identify their own problem solving errors<\/strong> is part of helping them develop effective problem solving skills. beverly black and elizabeth axelson’s\u00a0list of common problem solving errors<\/a>, adapted from arthur whimbey and jack lochhead’s book problem solving and comprehension<\/em> (lawrence erlbaum, 1999), provides useful insight into the mindset of a novice problem solver.<\/p>\n
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\nthis teaching guide is licensed under a creative commons attribution-noncommercial 4.0 international license<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"