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Login An introduction to MyGrammarLab MyGrammarLab teaches and helps learners practise grammar through a unique blend of book, online and mobile resources - offering every learner of English the opportunity to study grammar in the way that best suits their needs. The MyGrammarLab series takes learners from elementary to advanced grammar, each level benchmarked against the Common European Framework and providing grammar practice for internationally recognised exams. With its learning hints and tips, immediate feedback, automatic grading and grammar tutor videos, this course is ideal for self-study, as well as a grammar reference and practice companion to your English language course. MyGrammarLab Book Natural examples illustrate the grammar points Simple explanations, using the Longman Defining Vocabulary of just words A topic-based approach presents grammar in context A focus on both written and spoken grammar Information on the pronunciation of grammar items Presentations of common errors and how to avoid making them A variety of exercise types - from drills to contextualised and personalised practice Each level is benchmarked against the Common European Framework and provides grammar practice for internationally recognised exams.
The obvious answer is that we have to introduce lists. But what should one do with lists? So instead what I decided was to make the very first function I show for lists be ListPlot. Actually, the best extremely simple example of that is Range , which I also show at this point. But OK, so now we want to reinforce the idea of functions, and functions working together. And, of course, whatever computations one does, one can immediately see the results, either symbolically or visually.
I start with trivial versions of Table , without any iteration variable. Of course, the fact that it can do this is a consequence of the fundamentally symbolic character of the Wolfram Language.
The next big step is to introduce a variable into Table. I thought a lot about how to do this, and decided that the best thing to show first is the purely symbolic version. The Arc of the Book In the first few sections of the book, the raw material for our computations is basically numbers and lists. What I wanted to do next was to show that there are other things to compute with.
I chose colors as the first example. Colors are good because a everyone knows what they are, b you can actually compute with them and c they make colorful output! People have seen interactive interfaces in lots of consumer software. The next, perhaps surprising thing I introduce in the book is image processing. And what people see are just functions—like Blur and ColorNegate —whose purposes are easy to understand.
I needed a sample image for the section, so, yes, I just snapped one right there—of me working on the book. Next I talk about strings and text.
String operations on their own are pretty dry. Next I cover sound , and talk about how to generate sequences of musical notes. For example, the names of musical notes are specified as strings—so one has to have talked about strings before musical notes. By this point in the book, people already know how to do some useful and real things with the Wolfram Language.
So I made the next section a kind of interlude—a meta-section that gives a sense of the overall scope of the Wolfram Language, and also shows how to find information on specific topics and functions.
Lots of real-world data involves units—so the next section is devoted to working with units. After that I talk about dates and times.
The Wolfram Language is big. One of the important objectives in the book is to cover these ideas. Of course, it helps a lot that the language can manipulate them directly, as just another example of symbolic objects. But even though the internal algorithms for machine learning are complicated, the actual functions that do it in the Wolfram Language are perfectly easy to understand.
Throughout the book, I try to keep things as simple as possible. Functional Programming The next few sections tackle the important and incredibly powerful topic of functional programming.
In the past, functional programming tended to be viewed as a sophisticated topic—and certainly not something to teach people who are first learning about programming.
I start by just talking more abstractly about the process of applying a function. The big thing this does is set me up to talk about pure anonymous functions. The next section is where some of the real power of functional programming starts to shine through. In the abstract, functions like NestList and NestGraph sound pretty complicated and abstract. The next several sections cover areas of the language that are unlocked as soon as one understands pure functions.
There are lots of powerful programming techniques that emerge from a smaller number of ideas. After functional programming, the next big topics are patterns and pattern-based programming.
What makes patterns so powerful in the Wolfram Language is something much more fundamental: the uniform structure of everything in the language, based on symbolic expressions. If I were writing a formal specification of the Wolfram Language, I would start with symbolic expressions. And I might do the same if I were writing a book for theoretical computer scientists or pure mathematicians.
There are a few more pieces to put in place to get there. I talk about associations —and then I talk about natural language understanding. Internally, the way natural language understanding works is complex. OK, so now everything is ready to talk about deploying things to the web.
And at this point, people will be able to start creating useful, practical pieces of software that they can share with the world. Because in the Wolfram Language you can do an amazing amount—including for example deploying a complete web app—without ever needing to assign a value to a variable.
Contemporary topics stimulate discussions and develop critical thinking. We asked David Cotton, an author of New Language Leader, to share what inspired him to create the course and how New Language Leader can make you a legendary teacher. The key to success is a general English syllabus combined with academic English and exam preparation. This way, students prepare for tests whilst developing a good general English base for future academic studies. Assessment spreads develop the necessary skills needed at the popular university admission exams.
The course offers a variety of authentic materials that familiarise students with real English expressions and scenarios. New Language Leader provides a range of contemporary topics including business and global affairs, crime, travel, education, the environment, health, society values, science and engineering, sports, communication and globalisation.
These are familiar topics that students see in the news and online, which can stimulate discussion and develop critical thinking, and students learn how to construct logical arguments in English.
It is not just about learning English anymore. To be successful in the modern academic environment students need to develop 21st Century skills such as critical thinking, text analysis, and digital literacies.
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Gradebook gives you a summary of the areas in which individuals need more practice.