- •Contents
- •Передмова
- •We are students at donetsk national university
- •Vocabulary
- •1. Guess the meaning of these international words. Check with your teacher or a dictionary
- •2. Key words
- •Student Dima Loboda
- •Student Dasha Klimova
- •Student Nastya Savchuk
- •Student profile
- •L earn mathematics in English Cardinal and ordinal numbers
- •1. Read the text about two arithmetical operations and do the exercises that follow it Basic arithmetical operations. (Addition & subtraction)
- •What’s your best friend like?
- •Vocabulary
- •1. Guess the meaning of these international words. Check with your teacher or a dictionary
- •2. Key words
- •Who’s their ideal partner?
- •L earn mathematics in English
- •1. Read the text and do the exercises below it Basic arithmetical operations (Multiplication & division)
- •A day in the life of a student
- •Vocabulary
- •1. Guess the meaning of these international words. Check with your teacher or a dictionary
- •2. Key words
- •I. Look through the text and do the tasks
- •Learn mathematics in English
- •I. Read the text and do the exercises below it. Advanced arithmetical operations
- •What’s your university like?
- •Vocabulary
- •1. Guess the meaning of these international words. Check with your teacher or a dictionary
- •2. Key words:
- •Donetsk national university
- •The University of Sheffield
- •1. Find a partner from the other group. Tell each other the information you read about one of the universities
- •Fractions
- •The city I live and study in
- •Vocabulary
- •1. Guess the meaning of these international words. Check with your teacher or a dictionary
- •2. Key words:
- •Learn mathematics in English
- •Mixed numbers
- •Mathematics is the queen of scienses
- •Vocabulary
- •1. Guess the meaning of these international words. Check with your teacher or a dictionary
- •Key words:
- •“`A mathematician is a machine for converting coffee into theorems”. /Paul Erdos/
- •L earn mathematics in English
- •Equivalent fractions
- •Reciprocals and the "invisible denominator"
- •The language of mathematics
- •Vocabulary
- •1. Guess the meaning of these international words. Check with your teacher or a dictionary
- •Key words
- •L earn mathematics in English
- •Statistics is very serious!
- •Vocabulary
- •1. Guess the meaning of these international words. Check with your teacher or a dictionary
- •Key words:
- •Statistics is very serious!
- •Get to know a typical computer
- •Vocabulary
- •1. Guess the meaning of these international words. Check with your teacher or a dictionary
- •2. Key words:
- •Get to know a typical computer
- •Computer without a program is just a heap of metal!
- •Vocabulary
- •1. Guess the meaning of these international words. Check with your teacher or a dictionary.
- •2. Key words
- •We can’t imagine modern computing without them
- •Vocabulary
- •1. Guess the meaning of these international words. Check with your teacher or a dictionary
- •2. Key words
- •I. Read the following texts and do the tasks Alan Turing
- •Tim Berners-Lee
- •He has left mathematicians enough to keep them busy for five hundred years
- •Vocabulary
- •1. Guess the meaning of these international words. Check with your teacher or a dictionary.
- •2. Key words
- •I. Read the text and do the tasks niels henric abel
- •Getting to know each other better
- •II. Swap charts with b. Ask a to explain the information in his/her chart. Ask for more information
- •III. Explain your answers to b
- •Mood graph
- •A time for everything
- •Expert opinion
- •Vocabulary
- •Vocabulary
- •What’s your body age?
- •I. Read the questionnaire and answer the questions below, adding or subtracting the numbers after your answer from your actual age
- •How many friends can you share problems with?
- •15. Have you taken antibiotics in the past five years?
- •II. Check your score
- •If you're younger than your years
- •I. Look at your partner’s answers. Ask for more information, for example: What is your worst diet habit? How much time do you have for yourself?
- •II. Some ways to lower our body age are given below. Read it and give your partner some good advice starting with the following words: I think you should…
- •Donetsk national university
- •Inspires students’ enthusiasm for learning
- •An ideal teacher
- •Is a well-educated person has a good sense of humor is a polite and a punctual person delivers interesting lectures
- •Numbers
- •I. Mind–map’ numbers’. When you read this ‘mind-map’, you’ll meet words that are new to you. First try to guess their meaning and then look them up in a dictionary.
- •II. Answering and explaining
- •III. Playing a trick with numbers
- •IV. The ‘Terribly Stressed‘ game
- •I. Use this mind-map ‘Four basic operations in Mathematics’ as a topic activator to speak about the basic operations in Arithmetic
- •III. Reading, writing and saying numerical expressions
- •3. Look at each numerical expression written in symbols and signs. Then say it in words. Your partner will listen to see if you repeat correctly and correct your incorrect answers
- •I. Use this mind-map ‘Algebra’ as a topic activator to speak about Algebra (its origin and some facts from its history)
- •II. Match each numerical expression in the left column with the equivalent expression in the right column
- •Look at the expressions written in words and write them in mathematical notation (in symbols)
- •III. Read the following inequalities aloud. Your partner will check your answers
- •I. Mind-map ‘Geometry’. Use this map to speak about geometry (its meaning, the history of its development, its application). Add more information you know
- •II. Working with geometric terms. Demonstrate your knowledge of geometric terms. Work in pairs (a/b)
- •The language of mathematics
- •Practice set 12
- •III. Draw your mood graph or graph with your marks showing changes during the week or a month (semester). Explain it to your partner
- •Some facts from the history of mathematics education
- •I. Read the article and mark the sentences t (true), f (false) or ng (not given)
- •Do you know that…
- •II. Search for some information about one of these mathematics teachers and share it with other students. Make a table of the most important facts of his/her biography
- •Ancient sources of information
- •I. Choose from (a-j) the one which best fits each of (1-7). There are two choices you do not need to use.
- •II. Tell your partner about these famous papyri
- •III. Find some information about Mathematics of ancient civilizations and share it with other students (e.G. The Maya calendar, the ancient numeration systems)
- •The history of the symbols for plus and minus
- •I. Read the article. Guess the meaning of the highlighted words. Check with the teacher or your dictionary
- •II. Read the article again. Say what events the following years refer to:
- •III. Tick (√) the things the article says
- •IV. Read the facts listed below. In pairs, discuss which one is the most surprising do you know that...
- •V. Find some information on the history of the mathematical symbols. Give a presentation to the students of your group
- •Statistics
- •I. Match the words with their definitions:
- •II. Decide if the given statements are true (t) or false (f) according to the text
- •III. Search for information about one of the scientists listed below and then give a presentation
- •Important contributors to statistics
- •Degrees and diplomas in statistics
- •III. Do you know anything about awards in Statistics in your country or abroad?
- •Why is there no nobel prize in mathematics?
- •I. Read the text. Seven sentences have been removed from it. Choose from the choices (a- I) the one which fits each gap (1-7). There are two choices you do not need to use
- •III. Work in pairs. Tell your partner why Nobel decided against a Nobel Prize in mathematics
- •Major awards in mathematics
- •The obverse of the Fields Medal
- •The reverse of the Fields Medal
- •A. Fields medal
- •III. Look at these words. Why are they important in this text?
- •B. Abel prize
- •IV. Focus on these words. Why are they important in the text?
- •VI. Compare the major awards in Mathematics with the Nobel Prize by using like (similar to) or unlike (different from) in the sentences
- •V. Search for more information on the following topics on the Internet and share it with other students
- •Abel Prize Laureates
- •Fields medalist
- •I. Decide if the given statement is true (t) according to the text, if it is false (f) or if the information is not given (ng) in the text (Work in pairs)
- •II. Number these events in the order they happened. Look at the Reading
- •III. Interview your partner about this great mathematician (Work in pairs)
- •IV. Ask and answer the following questions in pairs
- •II. Match the number with its symbolic meaning:
- •III. Answer the questions below and then ask for more information (Work in pairs)
- •Do you know that…
- •IV. Find information on the Internet and give a presentation of the number you are interested in (brings you good or bad luck)
- •Text 10
- •Reading and Speaking
- •Number and reality
- •I. Match the word with its meaning:
- •II. Work in pairs. Decide if the sentences 1- 7 are t (true) or f (false)
- •A strong mathematical component
- •I. Choose from (a-j) the one which best fits each of (1-6). There is one choice you do not need to use
- •II. Match choices (a-d) to (1-4)
- •III. In pairs, find and then say what events the following years refer to:
- •IV. Do you know an artist (a writer) having a strong mathematical component in his/her creative work? Search for information on the Internet and give a presentation on the subject
- •Reading and Speaking fractal
- •I. Match the words with their meanings:
- •II. Choose from (a-f) the one which best fits each of (1-5). There is one choice you do not need to use
- •III. Work in pairs. Tell your partner about fractal
- •IV. On the Internet search for information about applications of fractals and then share your information with other students
- •Healthy computer work
- •Match the words with their meanings:
- •I I. Read the article once and then decide if the following guidelines are true, false or are not mentioned in the text above
- •III. Team work. Work out the main rules for operating the computer. The winner is to give clear recommendations for young people working on the computer. The first one is given for you
- •IV. Ask and answer the questions (Work in pairs)
- •Computers can do wonders
- •I. Match the words with their meanings
- •II. Decide if the following statements are true or false (t/f) by referring to the information in the text
- •III. Work in pairs. Tell your partner about the most surprising facts from the article
- •IV. Search for information about ‘computer wonders’ on the Internet and give a presentation about new computer developments (e.G. Robots)
- •Watching ‘how did mathematics begin? (a cartoon)
- •I. Answer the following questions:
- •II. Tell the class about the most interesting facts you have learned from the cartoon. Do you agree with the information mentioned in the cartoon? Add more information about the development of numbers
- •Recommendations and some useful phrases for giving presentations
- •Introduction
- •Introducing your subject
- •If you make a mistake, start your sentence again.
- •If you can’t remember a word, use another one.
- •Conclusion
- •Inviting questions
- •Questions
- •Wording mathematical signs, symbols and formulae
- •Answer keys
- •References
Donetsk national university
The National University of Donetsk celebrated its 45th anniversary as a university in 2010, although its full history dates back to the foundation of the Pedagogical Institute (teacher training college) in 1937. During 45 years it has developed from a provincial college into one of Ukraine’s leading universities. In 1965 it had two faculties: the Faculty of History and the Faculty of Philology, today it has eleven. These are the Faculties of Mathematics, Physics, Chemistry, Biology, History, Philology, Foreign Languages, Economics, Economics and Law, Finance and Accounting, and International Faculty. The academic staff of the university has grown from 218 members in 1965 to 1,330 in 2011. When the university was founded there was only one doctor and 61 candidates of science on its staff, today there are 180 doctors and 628 candidates of science. The academic staff of the university includes one academician and two corresponding members of Ukraine’s National Academy of Sciences and 38 academicians and corresponding members of branch academies.
Today the University is home to nearly 20,000 students including about 350 foreign students studying on 42 degree courses. 10,486 students take full-time courses and 9,136 students– part-time or correspondence courses. The University also offers postgraduate courses in physics, biology, mathematics, etc.
The University is run by a rector and pro-rectors. Each faculty is lead by a dean and assistant deans.
The University’s educational facilities include numerous laboratories, a modern computer centre, 61 computer classes and a library which is the largest among all Donetsk higher schools. The university has six halls of residence (dormitories) to accommodate its students, a sports and recreation centre ‘Nauka’ by the Azov sea, the youth student centre ‘Brigantina’.
The University has its own newspapers, the University News, which is printed every fortnight, and the Facts and Events, which comes out weekly.
Our University has a good reputation for academic excellence. It ranks 7th among 380 Ukrainian universities. It is also well known for the quality of its research. Its graduates are in demand all over Ukraine. The university’s most famous alumni are Vasyl Stus, a Ukrainian dissident poet, Victor Shatalov, a world-known teacher-innovator, Rinat Akhmetov, president of the football club Shakhtar.
Task 1. Group B. Read the following information
The University of Sheffield
The University of Sheffield was originally formed by the merger of three colleges. The Sheffield School of Medicine was founded in 1828, followed by the opening of Firth College in 1879 by Mark Firth, a steel manufacturer, to teach arts and science subjects. Then Firth College helped to fund the opening of the Sheffield Technical School in 1884 to teach applied science. The three institutions merged to form the University College of Sheffield which was granted its royal Charter by Edward VII in 1905 and became the University of Sheffield.
From 114 full-time students in 1905, the university grew slowly until 1950s and 1960s when it began to expand rapidly. Many new buildings were built and student numbers increased to nearly 25,000 students including 3,700 international students from 120 countries. Sheffield is one of the most popular universities in terms of applications per place. Almost 1,400 academic staff are engaged in both research and teaching. Within the university there are 80 research centres and 75 academic departments grouped into five faculties. These are the Faculty of Arts and Humanities, the Faculty of Engineering, the Faculty of Medicine, Dentistry and Health , the Faculty of Pure Science and the Faculty of Social Sciences.
The university has its own newspaper, The Steel Press, printed every fortnight, an online newspaper, and a student radio station called Sure Radio.
Over the years, the university has been home to a number of writers and scholars including the author Angela Carter, David Blunkett, a well-known Labour Party politician and five Nobel Prize winners: Howard Florey (1945), Hans Adolf Krebs (1953), Richard J.Roberts (1993) – Nobel Prize in physiology or medicine, and George Porter (1967), Harry Kroto (1996) –Nobel Prize in chemistry.
There are several bodies which form the governance of the University. The Council manages the University's business side (finance and property).
The Senate manages the academic side of the University. It is the highest academic authority of the University. The Members of the Senate are: the Vice-Chancellor, the Pro-Vice-Chancellors and the Deans of the Faculties.
The university is ranked 82nd in the World's top 100 Universities and is constantly ranked amongst the top 20 universities in Britain.
Task 2. (Group work) Ask and answer the questions about Donetsk/Sheffield University. Then check your answers with the group
When was the university founded?
What was the precursor of the university?
How many faculties are there?
How many students study at the university?
Who is the university run by?
What’s the rating of the university?
Task 3. With the partner from the other group decide if the following statements are true or false. Correct the false statements
Both universities got their university status in the twentieth century.
Both universities don’t admit foreign students.
Academic staff of both Universities is engaged in research.
The number of students at the University of Sheffield is larger than that at Donetsk University.
Both universities have their own radio.
Both universities can boast their Nobel Prize winners.
Both universities are among the world’s top 100 universities.
Speaking
