学术英语综合-Unit-6.ppt

单击此处编辑母版标题样式,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,*,.,*,学术英语 综合,Academic English,An Integrated Course,.,.,Unit 6,Mathematics,Unit Contents,Unit objectives,Text A,Text B,Text C,Academic language and discourse,Listening,Speaking,Writing,.,Unit Objectives,1.Professional Knowledge,Know more about applied mathematics;,Think critically about mathematics education in college;,Get acquainted with the Mayan system of numeration,2.Reading,Summarize the main idea of a text and identify essential supporting points;,Understand difficult sentences(e.g.sentences with abstract meaning or ambiguous reference);,Learn to analyze complex or controversial issues critically(e.g.the role of mathematics education in college),Unit 6,Mathematics,.,Unit Objectives,3,.Listening,Know how to use note-taking symbols and abbreviations,4.Speaking,Analyze the audience and purpose of the speech,5.Writing,Achieve coherence in research paper writing,Unit 6,Mathematics,.,Unit Objectives,3,.Listening,Know how to use note-taking symbols and abbreviations,4.Speaking,Analyze the audience and purpose of the speech,5.Writing,Achieve coherence in research paper writing,Unit 6,Mathematics,.,Unit Objectives,3,.Listening,Know how to use note-taking symbols and abbreviations,4.Speaking,Analyze the audience and purpose of the speech,5.Writing,Achieve coherence in research paper writing,Unit 6,Mathematics,.,Unit Objectives,6.Researching,Learn to interview peers and summarize what is found from the interview,7.Academic language and discourse,Acquire some specialized vocabulary of mathematics;,Learn to use words or phrases indicating exemplification;,Comprehend stylistic differences between formal and informal English and acquire some formal expressions,Unit 6,Mathematics,.,Text A Lead-in,Believe it or not,mathematics is everywhere.Look at the examples below and add,more to the list.,Designing,a building,Making,a business decision,Designing,the contours of a soda can,Managing,your own checkbook,Now work in pairs and share your answers with your partner.,Unit 6,Mathematics,.,Text A Overview,Summarize the main ideas of Text A on the basis of Task 1/Critical Reading and Thinking/Text A.,mathematization,the traditional mathematics,prescriptive mathematics,mathematics should be invoked,with caution,Unit 6,Mathematics,.,Text A,In-depth analysis,Focus on some of the major issues and difficult sentences in Text A by doing Task 2/Critical Reading and Thinking/Text A.,Unit 6,Mathematics,.,Text A,Supplementary information,1.Applied mathematics,Applied mathematics is a branch of mathematics that concerns itself with the application of mathematics in a wide range of disciplines in various areas such as science,engineering,business,commerce and industry.Applied mathematicians are engaged in the creation,study and application of advanced mathematical methods relevant to specific problems.,Unit 6,Mathematics,.,Text A,Supplementary information,2.Changes in mathematics,Historically,mathematics was widely used in natural sciences and engineering.However,since World War II,fields outside of the physical sciences have led to new areas of mathematics,for example,game theory,social choice theory,statistics(the most widespread mathematical science used in social sciences).,Unit 6,Mathematics,.,Text A,Supplementary information,3.Stephen Baker and,The Numerati,Stephen Baker is an American journalist,author and blogger.,The Numerati,is a non-fiction book written by Stephen Baker.In this book,Baker discusses the increasing role that data-mining plays in politics,business,law enforcement,etc.on the basis of interviews with the Numerati,i.e.,people who are developing and using the technologies used to analyze and characterize our everyday actions.The book shows that data-mining can be used to predict outcomes and influence human behavior.,Unit 6,Mathematics,.,Text A,Supplementary information,4.Paul Ernest,constructivist view of mathematics,Paul Ernest is an emeritus professor of the philosophy of mathematics education at Exeter University,who is most famous for his work on developing a social constructivist philosophy of mathematics.According to this social constructivist philosophy,the theorems(,定理,;,原理,),truths and objects of mathematics are all cultural products created by humans.The theorems and truths of mathematics always remain revisable and,in principle at least,fallible.Ernests version of social constructivism has led to strong criticism.The principal criticism is that mathematical theorems are truths and truths by their nature are infallible.,Unit 6,Mathematics,.,Text B Text analysis,1.Summarize the major argumentations raised in Text B by doing Task 1/Critical Reading and Thinking/Text B.,2.Work in groups of 4-5 to discuss the questions in Task 2/Critical Reading and Thinking/Text B.,Unit 6,Mathematics,.,Text B Researching,Give a five-minute presentation on your findings in Researching/Text B.,Unit 6,Mathematics,.,Text B Supplementary information,1.The objectives of mathematics education,At different times and in different countries,mathematics education has attempted to achieve various objectives,for example:,Teaching,numerical skills to all pupils;,Teaching,practical mathematics(arithmetic,elementary algebra,plane and solid geometry,trigonometry)to most pupils,to prepare them for a trade or craft,;,Teaching,selected areas of mathematics(for example,calculus)as an example of the modern intellectual achievements;,Teaching,advanced mathematics to those who wish to pursue a job in science,technology,engineering,Unit 6,Mathematics,.,Text B Supplementary information,2.The importance of studying mathematics,The study of mathematics can be rewarding whatever future career we want to pursue.As we all know,knowledge of mathematics is essential for many areas of science,such as economics,medicine and engineering.Moreover,mathematics can teach us analytical and quantitative skills,which are important for a wide range of jobs and may determine whether we will be successful in the job or not,especially when decision making and quantitative activities are involved.,Unit 6,Mathematics,.,1.Contribute as much as possible what you know about Mayan civilization and Maya Codices.,Text C Text Analysis,Unit 6,Mathematics,.,Text C Supplementary information,Maya codices,Unit 6,Mathematics,Maya codices are folding books,written in Maya hieroglyphic script on Mesoamerican bark cloth,made from the inner bark of certain trees.The codices have been named for the cities where they eventually settled.,The Dresden Codex,is generally considered the most important of the few that survive.What is contained in the codex include astronomical tables,instructions concerning new-year ceremonies,etc.,.,3.Explain to your classmates the significance of 20 in Mayan system of numeration.,Text C Text Analysis,The number“20”was considered as a sacred number in Mayan civilization,because it represented the number of fingers and toes a human being could count on.The Maya adopted a system based on 20 rather than 10.In other words,instead of using the“1”,“10”,“100”,“1 000”and“10000“of our mathematical system,the Maya used“1”,“20”,“400”,“800”and“16 000”.Base 20 was also used in Mayan calendarwhich was developed by astronomers for keeping track of time.,Unit 6,Mathematics,.,2.Do the task in Text C.,Text C Text Analysis,astronomy,calendar,unique,complicated,multiples of 20,multiples of 360,positional notation,Unit 6,Mathematics,.,Academic language and discourse,1.Do Task 1 Specialized vocabulary/Language building-up/Text A.,Specialized vocabulary,Unit 6,Mathematics,.,Academic language and discourse,Specialized vocabulary,2.,Additional classroom activity,Match the terms in Column A(from Texts B and C)with the Chinese translations in Column B.,Unit 6,Mathematics,.,Academic language and discourse,3.Pay attention to some of the confusable words.,Specialized vocabulary,1)mechanics vs.mechanism,mechanics:the branch of physics concerned with the motion of bodies in a frame of reference,mechanism:,a way of doing something that is,planned,or,part,of a,system,;a,part,of a,machine,or a set of,parts,that,work,together,2)genomics vs.genetics,genomics:,the,study,of the,genomes,of,living,things,genetics:the,study,of how,in all,living,things,the,characteristics,and,qualities,of,parents,are given to,their,children,by,their,genes,Unit 6,Mathematics,.,Academic language and discourse,3.Pay attention to some of the confusable words.,Specialized vocabulary,3)calculus vs.calculation,calculus:,an,area,of,advanced,mathematics,in which,continuously,changing,values,are,studied,calculation:the,process,of using,information,you already have and,adding,taking away,multiplying,or,dividing,numbers,to,judge,the,number,or,amount,of something,Unit 6,Mathematics,.,Academic language and discourse,Signpost language,1.more patterns of giving examples.,By way of illustration,shows that,To give an example,A classic/well-known/famous example of this is.,A different but connected example is,An additional example is,Another example is,is a good example/illustration of.,illustrates this point/shows this point clearly.,This can be illustrated briefly by.,The evidence of can be clearly seen in the case of,Unit 6,Mathematics,.,Academic language and discourse,Signpost language,2.Do Task 2 Signpost language/Language building-up/Text A.,Unit 6,Mathematics,.,Academic language and discourse,Formal English,1.Do Task 3 Formal English/Language building-up/Text A.,Unit 6,Mathematics,.,Academic language and discourse,Formal English,2.Additional classroom activity,The following sentences are from Text B.Replace the underlined formal words with less formal ones.,1),For example,most doctors need to be able to make diagnoses.For that purpose,they need to,elicit,information from patients,to absorb and apply the results of medical research,and to develop and monitor adequate treatment.,(get),Unit 6,Mathematics,.,Academic language and discourse,Formal English,2),Still,it would be more rational and,equitable,to assess applicants to medical or business school according to abilities and commitments that are actually appropriate to their potential profession.,(fair),3),The U.S.customs officer asked him what he had been doing during his one week,sojourn,.,(stay),Unit 6,Mathematics,.,Listening,1.More tips about note-taking,Dont,take notes just to be taking notes!Take notes that will be valuable to you.,Concentrate,on the important words,that is,content words(usually nouns,sometimes verbs,adjectives or adverbs)that give the important information.,Omit,unimportant words,such as auxiliary verbs,determiners,prepositions,and,pronouns.,Have,a consistent system for punctuation and abbreviation that will make sense to you.,Unit 6,Mathematics,.,Listening,1.Practice note-taking skills by doing Tasks 1-2/Listening.Then compare your notes with your classmates.,Unit 6,Mathematics,.,Speaking,Make a presentation for the task in Speaking.,Topic:The Numerati,1.Explain what the Numerati are doing.,2.Discuss the impact of the Numerati on our daily life.,Unit 6,Mathematics,.,Writing,Do,Task 1,/Writing.,2.Additional classroom activity,The following is the introductory paragraph of Text A,Unit 5.Identify the strategies of coherence employed in this paragraph.,In countless movies,computers,play a starring role.,Some,talk in synthesized voices;others write a stream of words on a screen.,Some,manage spaceships;others,the“brains”of robots,manage their own“bodies”.People converse with,them,are understood by them,exchange information and greetings with them,.Much of this,is still science fiction.But real computers advise lawyers on relevant cases,doctors on diagnoses,engineers on the state of atomic reactors.,Both the fantasy and the fact,would have astonished our grandparents.,They,might have thought that this could only be achieved by magic.,Yet,most of us are getting used to it,taking the silicon age for granted.,Unit 6,Mathematics,.,