For getting the turtle to draw simple things, like a box, you can just enter
Logo instructions in TG's CommandCenter and most of the time your program just
works. It does what you wanted it to, what you thought it would do.
However, when you write any non-trivial program, this will rarely be the case.
The more instructions you include in your programs, the more you need to
keep in your head about what you're doing and the more typing you need to do.
This means more chances for making mistakes.
In this lesson you will learn how to write computer programs in steps.
The first step will be to just think about what you need to do.
In the next step you will write what you want the program to do in pseudocode.
How To Write Non-Trivial Programs
When you did the exercises at the end of
the last lesson, my guess is that you didn't type in programs that worked perfectly
the first time. If you did, congratulations... you are great at visualization
and orderly thought. The good news is that anyone can learn to write correct
programs - an experienced programmer would have no problem writing "correct"
programs for these exercises.
Why?
An experienced programmer would think about how to solve the problem before she would start typing in instructions. An experienced programmer would break the problem into pieces that each are simple to do by themselves. Then, put all the pieces together to solve the problem. In computer science this is a process that's called "stepwise refinement." You break the problem down into steps and then refine what each step does.
Let's play "experienced programmer" with the first exercise.
You need to get the turtle to:
Ok. This completes the "Understanding the Problem" phase, now on to planning.
Let's follow our experienced programmer's thoughts through the rest of a solution. She has chosen to draw a square (a special kind of rectangle) and subdivide it.
The first step: figure out how many turtle steps each side of the square should be. Since it will be split in half and into thirds, she wants a length that is a multiple of 2 and 3. She likes nice round numbers so she makes each side of the square 120 turtle steps (120/2=60; 120/3=40). As you can see, it's nice to know a little bit of math when you're programming.
Most beginning programmers would not have thought about the size as a first step. So if this caught you by surprise, no big deal. You would have found out that it is important when you were further along. But it is important for you to know the level of detail that an experienced programmer considers, that you will eventually think about when you write big programs.
With this decided, the experienced programmer first writes her program down on paper in pseudocode.
In this lesson you will learn how to write computer programs in steps.
The first step will be to just think about what you need to do.
In the next step you will write what you want the program to do in pseudocode.
pseudo adj. 1: being apparently rather than actually
as stated. ( Webster's New Collegiate Dictionary )
Pseudocode (derived from pseudo and code) is a description
of a computer programming algorithm that uses the structural
conventions of programming languages, but omits detailed
subroutines or language-specific syntax. ( WikipediA )
A third step is the conversion of the pseudocode into properly formed
instructions that are available in the programming language you are using, Logo
in our case.
How To Write Non-Trivial Programs
That Do What You Want
When you did the exercises at the end of
the last lesson, my guess is that you didn't type in programs that worked perfectly
the first time. If you did, congratulations... you are great at visualization
and orderly thought. The good news is that anyone can learn to write correct
programs - an experienced programmer would have no problem writing "correct"
programs for these exercises.
Why?
An experienced programmer would think about how to solve the problem before she would start typing in instructions. An experienced programmer would break the problem into pieces that each are simple to do by themselves. Then, put all the pieces together to solve the problem. In computer science this is a process that's called "stepwise refinement." You break the problem down into steps and then refine what each step does.
Let's play "experienced programmer" with the first exercise.
Understanding the Problem
What you should do first is think about what you need to do. Get out some paper and a pencil to write down your thoughts. Look at the diagram carefully. How can you break it up into multiple, simpler-to-do parts.You need to get the turtle to:
- draw 4 rectangles
- one is tall and thin
- three are short and form a stack of rectangles next to the first
- draw 7 lines (4 horizontal and 3 vertical)
- 4 lines form the perimeter of a big rectangle
- 1 line splits this rectangle in half vertically
- 2 lines split the right half of the rectangle into 3, equally sized rectangles
- draw 13 line segments (6 horizontal and 7 vertical). This is hard to describe; so, I'm choosing not to go any further with it. But, it is a way of looking at the problem.
Ok. This completes the "Understanding the Problem" phase, now on to planning.
Devising a Plan
The most important mental tool for coping with complexity
is abstraction. Therefore, a complex problem should not be
regarded immediately in terms of computer instructions...
(On the Composition of Well-Structured Programs,
Nicklaus Wirth, Computing Surveys, Dec., 1974)
So you now have some sketches and notes on a piece of paper that describe ways
that lead to a solution. The next step is to decide on an approach and put
together a process, a procedure which gets the turtle to draw the
figure.
Let's follow our experienced programmer's thoughts through the rest of a solution. She has chosen to draw a square (a special kind of rectangle) and subdivide it.
The first step: figure out how many turtle steps each side of the square should be. Since it will be split in half and into thirds, she wants a length that is a multiple of 2 and 3. She likes nice round numbers so she makes each side of the square 120 turtle steps (120/2=60; 120/3=40). As you can see, it's nice to know a little bit of math when you're programming.
Most beginning programmers would not have thought about the size as a first step. So if this caught you by surprise, no big deal. You would have found out that it is important when you were further along. But it is important for you to know the level of detail that an experienced programmer considers, that you will eventually think about when you write big programs.
With this decided, the experienced programmer first writes her program down on paper in pseudocode.
1. draw a square 2. draw the vertical line that splits the square in half 3. draw the top horizontal line spliting the right half 4. draw the bottom horizontal line spliting the right half 5. make the turtle invisiblePseudocode is a term for describing something in your native language. Her pseudocode is English descriptions of what she wants her program to do. Once this is complete and she is convinced that her plan should produce what she wants, it's time for the next phase: converting the pseudocode into Logo instructions.
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