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Days and Months in Greek
In this video you will learn the days days of the week and the months of the year in Greek.
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2.4 Probability and common sense

The concept of probability is a purely theoretical one. Strictly speaking, no experiment measures a probability: all that we can measure is the fraction of times a particular outcome occurs in a finite number of attempts. In the infinitely long run this fraction is expected to approach the theoretical probability, but in practice we may never attain this limit. You could easily toss a fair coin four times and get four heads. You could even toss it 20 times and still get heads on every
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5.3 Powers

Having discussed nth roots, we are now in a position to define the expression ax, where a is positive and x is a rational power (or exponent).

Definition

If a > 0, m Author(s): The Open University

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5.6 An investigation

So far you have come across exercises and brain stretcher puzzles. The exercises are designed to help you practise certain skills and the puzzles are to get you to think a bit more generally. However now here is a different type of activity: an investigation.

Investigations are usually much more open-ended than exercises. With an investigation you often need to stop and think about what information you will need to tackle the task, and how you should interpret the results of your calcul
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5.5 Comparing price rises

While reading a newspaper article, I noticed some examples of how prices changed in the 10 years from 1984 to 1994. The table below shows the typical prices that you would have expected to pay in 1984 and in 1994 for a pint of milk and a Ford Fiesta motor car.

Price in 1984 Price in 1994
Pint o
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Using your calculator

Many people see calculators only as a way of producing answers—indeed some people see them almost as a means of cheating, of short-cutting procedures that can and should be carried out in one's head or on paper. However, the calculator can also be a means of learning mathematics more effectively, something you will come to appreciate more. Many previous mathematics students have found that their graphics calculator, used with understanding and intelligence, has become a most effective aid t
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4 Open Mark quiz

Now try the quiz  and see if there are any areas you need to work on.


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Learning outcomes

By the end of this unit you should be able to:

  • evaluate the squares, cubes and other powers of positive and negative numbers with or without your calculator;

  • estimate square roots and calculate them using your calculator;

  • describe the power notation for expressing numbers;

  • use your calculator to find powers of numbers;

  • multiply and divide powers of the same number;

  • understand and apply negative powers, t
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3.3.1 Try some yourself

1 Look at the diagram below and answer the following questions:

  • (a) Write down the coordinates of the points P, Q, R, S and T.

  • (b) On this diagram,
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1 Forces for development

Working in mathematics education involves a sense of both past and future, and how the two combine to influence the present. It may seem that, because the past has already happened, it cannot be altered; however, you can alter how you perceive the past, and what lessons you take from it. Each of us has a personal past in mathematics education—the particular events of our personal lives, who taught us, where, what and how they taught us, and what we took from the experiences. Each of us also
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Introduction

This unit focuses on your initial encounters with research. It invites you to think about how perceptions of mathematics have influenced you in your prior learning, your teaching and the attitudes of learners.


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Summary

In this unit you have been introduced to the difference between mathematical content and processes. You have worked on the do–talk–record (DTR) framework for learning mathematics.


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Learning outcomes

After studying this unit you should:

  • be able to perform basic algebraic manipulation with complex numbers;

  • understand the geometric interpretation of complex numbers;

  • know methods of finding the nth roots of complex numbers and the solutions of simple polynomial equations.


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1.6.3 Mailing lists and newsgroups

Mailing or discussion lists are email-based discussion groups. When you send an email to a mailing list address, it is sent automatically to all the other members of the list.

The majority of academic-related mailing lists in the UK are maintained by Jiscmail. You will find details of joining these mailing lists on the Jiscmail website. Mailing lists are useful for getting in touch with like-minded colleagues. They are also handy for keeping up to date with current thinking and research
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1.6.2 Alerts

Online bookshops and some of the major search engines offer ‘Alerts’ services. These work by allowing you to set up a profile once you have registered on their site, and when there are items meeting your criteria you receive an email. The good thing about alerts is that you don’t have to do anything once you have set up your profile. The downside, particularly with alerts services from the search engines, is that given the extent to which internet traffic is on the increase whether new
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1.5.9 Plagiarism

Referencing is not only useful as a way of sharing information, but also as a means of ensuring that due credit is given to other people’s work. In the electronic information age, it is easy to copy and paste from journal articles and web pages into your own work. But if you do use someone else’s work, you should acknowledge the source by giving a correct reference.

Taking someone's work and not indicating where you took it from is termed plagiarism and is regarded as an infringemen
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1.5.8 Bibliographic software

If you are considering taking your studies further you might like to consider using bibliographic software. Bibliographic software can be used to sort references, annotate them, manage quotations or create reading lists.

There are several software packages on the market. Some are listed below.

  • BibTex

  • EndNote

  • Procite

  • Reference Manager

  • RefWorks

If you are not sure
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1.5.7 Referencing

We mentioned above that we need to reference sources to ensure we abide by copyright legislation. But there is another reason we need to give accurate references to items we use – so we can share it.

Consider this scenario. A friend says they’ve just read an interesting article where Joshua Schachter, founder of del.icio.us has spoken about why it isn’t a faceted search system, and you should read it. How would you go about finding it? Would you start looking in a news database, a
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1.5.5 Social bookmarks

If you find you have a long unmanageable list of favourites/bookmarks you might like to try social bookmarks as an alternative.

Activity – what you need to know about social bookmarks

Read 7 things you should know about soci
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1.5.4The 5 Ds

If you don’t use a system at all, then you could suffer from the effects of information overload:

  • losing important information

  • wasting time on trying to find things

  • ending up with piles of physical and virtual stuff everywhere

One technique you might like to apply to your files (be they paper or electronic) is the 5Ds. Try applying these and see if you can reduce your information overload.


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