学术英语综合-Unit-6-文档资料

1学术英语综合AcademicEnglish—AnIntegratedCourse23Unit6MathematicsUnitContentsUnitobjectivesTextATextBTextCAcademiclanguageanddiscourseListeningSpeakingWriting4UnitObjectives1.ProfessionalKnowledge•Knowmoreaboutappliedmathematics;•Thinkcriticallyaboutmathematicseducationincollege;•GetacquaintedwiththeMayansystemofnumeration2.Reading•Summarizethemainideaofatextandidentifyessentialsupportingpoints;•Understanddifficultsentences(e.g.sentenceswithabstractmeaningorambiguousreference);•Learntoanalyzecomplexorcontroversialissuescritically(e.g.theroleofmathematicseducationincollege)Unit6Mathematics5UnitObjectives3.Listening•Knowhowtousenote-takingsymbolsandabbreviations4.Speaking•Analyzetheaudienceandpurposeofthespeech5.Writing•AchievecoherenceinresearchpaperwritingUnit6Mathematics6UnitObjectives3.Listening•Knowhowtousenote-takingsymbolsandabbreviations4.Speaking•Analyzetheaudienceandpurposeofthespeech5.Writing•AchievecoherenceinresearchpaperwritingUnit6Mathematics7UnitObjectives3.Listening•Knowhowtousenote-takingsymbolsandabbreviations4.Speaking•Analyzetheaudienceandpurposeofthespeech5.Writing•AchievecoherenceinresearchpaperwritingUnit6Mathematics8UnitObjectives6.Researching•Learntointerviewpeersandsummarizewhatisfoundfromtheinterview7.Academiclanguageanddiscourse•Acquiresomespecializedvocabularyofmathematics;•Learntousewordsorphrasesindicatingexemplification;•ComprehendstylisticdifferencesbetweenformalandinformalEnglishandacquiresomeformalexpressionsUnit6Mathematics9TextALead-inBelieveitornot,mathematicsiseverywhere.Lookattheexamplesbelowandaddmoretothelist.•Designingabuilding•Makingabusinessdecision•Designingthecontoursofasodacan•Managingyourowncheckbook…Nowworkinpairsandshareyouranswerswithyourpartner.Unit6Mathematics10TextAOverviewSummarizethemainideasofTextAonthebasisofTask1/CriticalReadingandThinking/TextA.mathematizationthetraditionalmathematicsprescriptivemathematicsmathematicsshouldbeinvokedwithcautionUnit6Mathematics11TextAIn-depthanalysisFocusonsomeofthemajorissuesanddifficultsentencesinTextAbydoingTask2/CriticalReadingandThinking/TextA.Unit6Mathematics12TextASupplementaryinformation1.AppliedmathematicsAppliedmathematicsisabranchofmathematicsthatconcernsitselfwiththeapplicationofmathematicsinawiderangeofdisciplinesinvariousareassuchasscience,engineering,business,commerceandindustry.Appliedmathematiciansareengagedinthecreation,studyandapplicationofadvancedmathematicalmethodsrelevanttospecificproblems.Unit6Mathematics13TextASupplementaryinformation2.ChangesinmathematicsHistorically,mathematicswaswidelyusedinnaturalsciencesandengineering.However,sinceWorldWarII,fieldsoutsideofthephysicalscienceshaveledtonewareasofmathematics,forexample,gametheory,socialchoicetheory,statistics(themostwidespreadmathematicalscienceusedinsocialsciences).Unit6Mathematics14TextASupplementaryinformation3.StephenBakerandTheNumeratiStephenBakerisanAmericanjournalist,authorandblogger.TheNumeratiisanon-fictionbookwrittenbyStephenBaker.Inthisbook,Bakerdiscussestheincreasingrolethatdata-miningplaysinpolitics,business,lawenforcement,etc.onthebasisofinterviewswiththeNumerati,i.e.,peoplewhoaredevelopingandusingthetechnologiesusedtoanalyzeandcharacterizeoureverydayactions.Thebookshowsthatdata-miningcanbeusedtopredictoutcomesandinfluencehumanbehavior.Unit6Mathematics15TextASupplementaryinformation4.PaulErnest,constructivistviewofmathematicsPaulErnestisanemeritusprofessorofthephilosophyofmathematicseducationatExeterUniversity,whoismostfamousforhisworkondevelopingasocialconstructivistphilosophyofmathematics.Accordingtothissocialconstructivistphilosophy,thetheorems(定理;原理),truthsandobjectsofmathematicsareallculturalproductscreatedbyhumans.Thetheoremsandtruthsofmathematicsalwaysremainrevisableand,inprincipleatleast,fallible.Ernest'sversionofsocialconstructivismhasledtostrongcriticism.Theprincipalcriticismisthatmathematicaltheoremsaretruthsandtruthsbytheirnatureareinfallible.Unit6Mathematics16TextBTextanalysis1.SummarizethemajorargumentationsraisedinTextBbydoingTask1/CriticalReadingandThinking/TextB.2.Workingroupsof4-5todiscussthequestionsinTask2/CriticalReadingandThinking/TextB.Unit6Mathematics17TextBResearchingGiveafive-minutepresentationonyourfindingsinResearching/TextB.Unit6Mathematics18TextBSupplementaryinformation1.TheobjectivesofmathematicseducationAtdifferenttimesandindifferentcountries,mathematicseducationhasattemptedtoachievevariousobjectives,forexample:•Teachingnumericalskillstoallpupils;•Teachingpracticalmathematics(arithmetic,elementaryalgebra,planeandsolidgeometry,trigonometry)tomostpupils,topreparethemforatradeorcraft;•Teachingselectedareasofmathematics(forexample,calculus)asanexampleofthemodernintellectualachievements;•Teachingadvancedmathematicstothosewhowishtopursueajobinscience,technology,engineering…Unit6Mathematics19TextBSupplementaryinformation2.TheimportanceofstudyingmathematicsThestudyofmathematicscanberewardingwhateverfuturecareerwewanttopursue.Asweallknow,knowledgeofmathematicsisessentialformanyareasofscience,suchaseconomics,med