Pages 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 11503 result(s) returned

4.2 Interpreting percentages

Many articles give information in the form of percentages. In such articles, tables and other numerical information are also often presented in terms of percentages. Percentages are used so often because they enable comparisons to be made more easily. Every percentage is expressing a value as a fraction (that is, as a proportion) of a hundred. ‘Percent’ is denoted by % and means ‘out of a hundred’, so 75% means 75 out of 100.

Look at the table in the article in Activity 6. It co
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3 Reading articles for mathematical information

We gain much of our mathematical information from our surroundings, including reading newspaper and magazine articles. A skill that will be useful to all of us in our studies is the ability to do this in a structured way, as it is very easy to be uncritical of the information that we see. Newspapers and magazines frequently place mathematical information in the form of graphs and diagrams. All too often, we tend to assume that the information is correct, without questioning possible bias or i
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2 Reflection on mathematics

Mathematics is a subject about which people have strong views, and these can be negative, positive, or a combination of the two. Our own experience, as tutors and students of mathematics, is that mathematics is often seen by others as something that ‘isn't for me’, and one where beliefs and feelings, especially worry and even fear, can be strong, as a result of previous unhappy experiences. We have written this section to help you to look at your mathematical background, so that you can u
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Open University Courses

The Open University (OU) has a number of short courses that introduce you to computing, online learning and the internet.

You can check out these OU course options on the Courses and Qualifications  website at (accessed 8 November 2006).

Among them are:

  • TU120: Beyond Google: Working with information online

  • <
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7.1 Introduction

If you want to improve your computing skills or knowledge, there are plenty of resources available to help you. This section aims to get your search started by providing you with some useful websites.


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4.8 Not everyone is participating

It can be annoying if there are some people in your tutor group who don't participate in discussions. You may feel that this is unfair, or that you are doing more than your fair share of the work.

There's often a minority of people who don't join in at all, for a variety of reasons – pressure of personal circumstances, illness, shyness, or deliberate decision. And different people may be at different stages in the course. A benefit of studying online is that you can fit your studying
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2.2 Before your course starts

Allow some time to get yourself ready for a course that involves using a PC.

If you already have a PC:

  • double check it against the PC specification for your course.

  • don't assume that a lower specification will be sufficient.

If your computer doesn't meet the specification, you might:

  • be able to upgrade it. Check with the institution you're studying with. They should have
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3.2 Using diagrams of your own choice and design

This option is the most challenging and most rewarding, as it clearly shows that you have explored and analysed the source material and reworked it for yourself. In many cases, the source material may not contain any diagrams, simply text or numbers, perhaps expressed as a table. Alternatively, you may have had to make some specific observations or undertake an experiment to produce your own data. In this case, you may be expected to produce a diagram to enhance or improve your assignment. If
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3.1.1 Option 1: Don't use the diagram at all

Activity 9

It is quite possible to write a good answer to the question without using the diagram. What do you think are the advantages and disadvantages of not using the diagram?

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3.1 Using diagrams from course materials or other sources

So far in this unit we have been looking at how you can improve your understanding of other people's texts and diagrams. I have shown you some study techniques that you can use to ‘translate’ text into diagrams and diagrams into meaningful text. However, this discussion has been focused on what you can do for yourself. At some point, you'll have to produce assignments that require, or will be enhanced by, the use of diagrams. One of the first decisions you'll face is whether to use an exi
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2.2.3 Reading graphs and charts: getting started

Graphs and charts ought to be easy to read, since the main point of turning numbers into diagrams is to bring out their meaning more clearly. However, they are abstract representations that attempt to summarise certain aspects of the world in a condensed form. Consequently, they require a degree of mental effort on your part to bridge the gap between the formal pictures on the page and the aspects of ‘reality’ they represent. It is important to approach graphs and diagrams caref
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2.2.2 Reading graphs and charts: manipulating numbers

Text is just one way of communicating information. Numbers are another way, but whether presented singly, in groups or even as tables , numbers often require a lot of work from the reader to uncover the message. A much more immediate and powerful way to present numerical information is to use graphs and charts. When you use single numbers or tables, the reader has to visualise the meaning of the numbers. Graphs and charts allow the reader to do this at a glance. To show how powerful these rep
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2.2.1 Reading diagrams: questioning what they say

With each of these diagrams, and with others you are trying to read, there are several questions you can ask.

  • What is the purpose of the diagram, that is, what is it aiming to tell us?

  • How is the information imparted?

  • What assumptions does it make about our ability to understand it?

  • What are we expected to remember?

  • How successful is it in doing all
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2.2 Reading diagrams

When you're studying, following the sense of a piece of text may not be straightforward. Often, you'll need to rewrite the text as notes or a diagram. Equally, some diagrams will need careful reading, and you'll have to make notes or draw other diagrams. So, how can we read different types of diagrams?


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2.1.1 Rewriting text as relationship diagrams

A spray diagram can help with note-making. In this section, I want to go a little further and show how you can use diagrams to help you understand what someone else has written. Here, it doesn't matter how well you can draw, as long as the finished diagram makes sense to you. As you become more confident at drawing diagrams for yourself, you will be able to move on to drawing diagrams for others.

At this stage, you may still have doubts about the value of diagrams for understandi
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2.1 Analysing text

Some people find it easy to use diagrams in their studies. But I realise that there are others who don't take to diagrams at all enthusiastically. If this is how you feel, please read what follows, as I am convinced that everyone can get something from using diagrams to help their thinking. However, if after working through these sections, you still believe that diagramming as an aid to studying is ‘not for you’, then don't force yourself into an approach that doesn't suit y
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1.2.2 Graphs and charts

Line graphs, histograms and bar charts are diagrams that show the relationship between two different quantities. For example, in hospital, a patient's temperature is often recorded at regular intervals and plotted as a line graph. This allows medical staff to see at a glance how high the temperature is and how it is changing. You often see graphs and charts in the media summarising unemployment figures or a company's profits over the last few months. There are two examples of these types of d
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1.2.1 Relationship diagrams

Relationship diagrams are largely non-pictorial and aim to represent the structural or organisational features of a situation through combinations of words, lines and arrows, and a wide selection of boxes, blobs and circles. Examples of this type of diagram include the first diagram, entitled ‘Some of the ways … spread’, in the Collee article (page 398). Some other examples are shown in Author(s): The Open University

Learning outcomes

After studying this unit you should be able to:

  • appreciate what pictures and diagrams can do;

  • understand how pictures and diagrams can help you to study texts;

  • demonstrate how pictures and diagrams can improve your assignments.


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Introduction

This unit will look at how pictures and diagrams can be used to represent information and ideas. In mathematics, science and technology (MST) subjects, we can often summarise how ideas or processes are connected much more neatly in a diagram than in words, or we can show how something looks and works by drawing a picture of it. This means that, as a learner, you need to be comfortable with pictures and diagrams. You need to learn how to read them – how to extract information from the
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