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– – 波得亚解题思想初探（on the - - bodeya problem solving ideas）

– – 波得亚解题思想初探（on the - - bodeya problem solving ideas）

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时间：2018-08-08

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1、2–1–2波得亚解题思想初探（Onthe2-1-2Bodeyaproblemsolvingideas）OwncollectionMistakesareunavoidableForreferenceonlyIncaseoferrorPleasecorrectme!ThanksAnintroductiontoLuoZengru'smathematicalproblemsolving(8)Eighth,Polya'sthoughtofsolvingproblemsPolya'sproblemsolvinglistandrelatedworksI

2、texplainstheessenceandessenceofPolyathoughtofsolvingquestions,suchasthecorefromdifferentangles.Wesummedupin4points:theprogramofsolvingsystem,heuristicprocessanalysis,opentheideaofinduction,exploratoryconversion.The1.programofsolvingsystemHowtosolveaproblemQuestionsaboutho

3、wtosolveproblems,whatteachersshouldteachstudentstodoandsoonA4stepprocedureisdesignedtoidentifyproblems,plan,implementplans,andreviewthemThusdepictsageneraloutlineofthetheoryofproblemsolvingItalsoformsaperfectproblemsolvingteachingsystem,whichcombinesthethoughtofproblemcol

4、lection,theprocessofsolvingproblemsandthemethodofsolvingproblemsCombinestheoryandPracticeEvenonspecificanddetailedquestionsThisprogramalsohelpstocorrectsomeofthestudents'generalproblemsAseagertocalculatetheresultswithoutcarefulanalysisofC.Drawinferenceswithoutthinkingabou

5、tplansBehelplessandnotgoodatprocessinginformationAndignorethedetailsanddevelopmentsoftheresearchquestionsThisprogramisthelaststepAcomprehensiveandanalyticunderstandingoftheresultingsolutionFixedasanecessarypartofproblemsolvingItisalsoaveryfarsightedapproachReflectstheauth

6、or'svaluableexperienceinlong-termmathematicalresearchPolyaseesteachingstudentshowtosolveproblemsasawayofteachingstudentstothinkAmajorandeffectivewaytodeveloptheirindependentexplorationabilities.Inthebook"discoveryofmathematics"Hedesignedaprogramtolearnhowtosolveproblems:f

7、romimitationtopatternThenageneralmethodtoItsessenceisthesameastheproblemsolvingtable.Thesetwobooksalldealwith"howtosolveaproblem""ProgramsaregivenButPolyahimselfdidnotattempttodrawatrivialandrigidpatternofproblemsolvingIt'sasmalldictionaryofexploration"Readerscanbroadenth

8、eirthinkingandguidetheirpracticebyreadingDictionaries"Thesetwobooks"justpointoutthegeneraldirect

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