Unit 4 Mathematics研究生学术英语读写教程Outline1. Text A Magic Numbers: Can Maths Equations be Beautiful?Magic Numbers: Can Maths Equations be Beautiful?2. Academic Reading Skills Evaluating EvidenceEvaluating Evidence3. Text B The Importance of Visual Mathematics for Our Brain and LearningThe Importance of Visual Mathematics for Our Brain and LearningAcademic Writing Skills Choosing Effective EvidenceChoosing Effective Evidence21. Text AMagic Numbers: Can Maths Equations be Beautiful?Before You Read 1.Howdoyouthinkmathematiciansarecontributingtohumanprogress?2.Doyouthinkmathematicsisbeautiful?Whyorwhynot?7/3/20224Text A: Lead-in QuestionsqSentencecomprehensionqThemeandstructureqComprehensionquestionsText ASentence Translation1.Mathsbecomesbeautifulthroughthepowerandeleganceofitsargumentsandformulae;throughthebridgesitbuildsbetweenpreviouslyunconnectedworlds.(Para.2)数学之美，在于其论证和公式的力量与优雅，在于它贯数学之美，在于其论证和公式的力量与优雅，在于它贯通了原本互不相干的世界。
通了原本互不相干的世界Text A: Sentence comprehensionSentence Translation2.Forthosewholearnthelanguage,mathshasthesamecapacityforbeautyasart,music,afullblanketofstarsonthedarkestnight.(Para.2)对于学习数学这门语言的人而言，数学和艺术、音乐以对于学习数学这门语言的人而言，数学和艺术、音乐以及漆黑夜空中的满天星斗一样，美轮美奂及漆黑夜空中的满天星斗一样，美轮美奂Text A: Sentence comprehensionSentence Translation3.Brainscansofmathematiciansshowthatgazingatformulaeconsideredbeautifulbythebeholderelicitsactivityinthesameemotionalregionasgreatartandmusic.(Para.4)对数学家的大脑扫描显示，当他们凝视自认为美丽的公式对数学家的大脑扫描显示，当他们凝视自认为美丽的公式时，所激发的大脑情感区域，与欣赏伟大的艺术和音乐时时，所激发的大脑情感区域，与欣赏伟大的艺术和音乐时激发的区域相同。
激发的区域相同Text A: Sentence comprehensionSentence Translation4.Thepowerofanequationtoconnectwhatseemlikecompletelyunrelatedrealmsofmathematicscomesupoften.(Para.8)一个等式常常具有将看似完全无关的数学领域联系起来一个等式常常具有将看似完全无关的数学领域联系起来的力量Text A: Sentence comprehensionSentence Translation5.Morethan2,000yearsago,theancientGreekmathematician,Euclid,solvedanumericalpuzzlesobeautifullythatitstillmakesNealesmileeverytimeitcomestomind.(Para.10)2000多年前，古希腊数学家欧几里得完美地解决了一个多年前，古希腊数学家欧几里得完美地解决了一个数字难题，尼尔每念及此数字难题，尼尔每念及此都都会欣然而笑会欣然而笑Text A: Sentence comprehensionSentence Translation6.Withagraspoftheformulae,wecanunderstandbloodflowinthebody,makeboatsglidethroughthewater,andbuildawesomechocolateenrobers.(Para.14)掌握了这些公式，我们便能理解血液如何在我们的体内流掌握了这些公式，我们便能理解血液如何在我们的体内流动，船只如何在水中漂流，以及如何浸挂美味的巧克力糖动，船只如何在水中漂流，以及如何浸挂美味的巧克力糖衣。
衣Text A: Sentence comprehensionSentence Translation7.Shockingatfirstpass,Diraccapturedwhatisnowacommonsentiment:whenabeautifulequationseemsatoddswithnature,thefaultmaylienotwiththemaths,butinapplyingittothewrongaspectofnature.(Para.15)乍一看让人惊奇，但狄拉克捕捉到了一种普遍的看法：当乍一看让人惊奇，但狄拉克捕捉到了一种普遍的看法：当一个美丽的方程式看似有悖自然规律时，错误可能不在数一个美丽的方程式看似有悖自然规律时，错误可能不在数学本身，而在于其用错了领域学本身，而在于其用错了领域Text A: Sentence comprehensionText A: StructurePartParas.Main ideaPart114Thereisbeautyinmathematics,andmathematiciansperceiveabeautifulformulawithemotionalresponses.Part2514Ampleevidenceandresearchhaveprovedthebeautyofmathematics.Part31518Beautymayleadtotruth,butcautionmustbeexercisedtoguardagainstfallacy.Part41920Theconceptofbeautyisnotinconflictwiththemeaningandpowerofmaths.Text A: StructureText A: ThemeMathematicsisknowntobeamagicaltoolinsolvingmanyofthemysteriesintheworld,buttheauthorarguesthatthereisbeautyinmathematicsinadditiontoitsutility.Thebeautyandeleganceofmathematicsisnotonlycorroboratedbyfamousmathematiciansandscientists,butalsoincreasinglybackedupbyneurosciencestudies.However,theauthoralsocautionsthatbeautymaybeafallibleguideinseekingtruth.Referenced Keys to Task 1 (p. 77)1.Compelling2.Underlying3.Fallible4.Elicit5.Multidimensional6.Gaveriseto7.Diverse8.IndivisibilityChoose the statement that best describes the authors attitudeA.Thebeautyofmathematicsliesintheelegantappearanceofthesymbols.B.Thereisalwaysbeautifulmathematicsbehindbeautifulprocesses.C.Thebeautyweperceiveinmathematicsisnotatoddswithitspowerandmeaning.Referenced Keys to Task 2 (p. 78)1.Onereasonisthatweusethewordbeautifultoindicatetherawpowerinanidea.Justseeingahugepartofmathematicsornaturebeingdescribedwithjustafewsymbolsgivesagreatsenseofeleganceorbeauty.Thesecondreasonisthatmathematicalbeautyreflectsrealityandasenseoforderthatispartofthelawsofnature.Referenced Keys to Task 3 (p. 78)2.Truthandbeautyarecloselyrelatedbutnotthesame.Weareneversureabouttruth.Allwearedoingisconstantlypursuingbettertruth.Andbeautyisthetorchandlightthatleadsonetotruthintheend.3.Notalltruthsarebeautiful.Sometimesbeautymayleadusastrayonourjourneytoseekingtruth.Referenced Keys to Task 3 (p. 78)2. Academic Reading Skills:Evaluating EvidenceEvaluating EvidenceDefinition of EvidenceTypes of EvidenceEvaluating EvidenceDefinition of EvidenceEvidenceisthefacts,examples,orsourcesusedtosupportaclaim.Insciences,thismightbedataretrievedfromanexperimentorascientificjournal article.Inhumanities,itmaybeaquotationfromthetext,published informationfromacademiccritics,oratheorythatsupportsyourclaims.Critical thinkingEvidence + Claims (conclusions) + Reasoning = ArgumentfactsopinionsAhugepartofwhatresearchersdoisdebatingeachothersargumentsbyevaluatingtheirevidenceandthere。