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teaching:topics:thinking_mathematically:problemsolving:summary [2020/06/09 15:43] simon [a summary of the main ideas] |
teaching:topics:thinking_mathematically:problemsolving:summary [2020/08/01 12:40] (current) simon [being systematic about solving problems] |
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making and management --- pretty much any field which requires thought and initiative rather than simply | making and management --- pretty much any field which requires thought and initiative rather than simply | ||
carrying out repetitive set actions. It is one of the ways we analyse and talk about the world. | carrying out repetitive set actions. It is one of the ways we analyse and talk about the world. | ||
+ | == == | ||
{{blog:mathematics-k-10-org-content.png?direct&75 }}It is also at the centre of the maths syllabus, every year from infants to year 12. | {{blog:mathematics-k-10-org-content.png?direct&75 }}It is also at the centre of the maths syllabus, every year from infants to year 12. | ||
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===What facts have you been given?=== | ===What facts have you been given?=== | ||
* write them down as equations, or draw them | * write them down as equations, or draw them | ||
- | * **then** recheck, does the equation fit the information given --- is it sensible? | + | * **then** recheck, does what you wrote fit the information given --- is it sensible? |
* there might be some extra, unimportant, facts given | * there might be some extra, unimportant, facts given | ||
* as you work on the problem, keep going back to the question | * as you work on the problem, keep going back to the question | ||
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assembling what you know, expressing it clearly and succinctly, remembering some rules, doing a bit of | assembling what you know, expressing it clearly and succinctly, remembering some rules, doing a bit of | ||
- | manipulation then giving the answer **to the actual question** --- <wrap em>always in an appropriate form!</wrap></WRAP> | + | manipulation |
+ | |||
+ | then giving an answer **to the actual question** --- <wrap em>always in an appropriate form!</wrap></WRAP> | ||
===finally — check that your answer is sensible!=== | ===finally — check that your answer is sensible!=== |