Using Modelling Approach
Using Modelling approach is a strategy used to resolve a math problems by looking at them from various perspectives.
To put in another word, treat the same problem using in different situation and then relate the new situation to the original problem.
There is no hard rule on what new objects or situations needed to implement the model after the problem.
Step 1, think carefully of a new instance of environment to mdel after the problem and step 2, translate the new environment to the original problem and resolve it.
Take for example in this case:
How to make use of a 5 litre bucket and 3 litre bucket to measure 4 litres of water?
The solution can be straight forwards by filling and pouring from one bucket into another a few times and juggling the amount of water in the bucket unit you get 4 litres. However, it is tedious.
Another way is to use modeling approach. Consider the problem from a different view. Treat it as one of manupulating numbers instead.
To begin, see how you can manipulate the number 3 and 5 to get 4.
For one example would be (2 x 3 - 5) + 3 = 4.
To translate this math statement to actual action, it would be pouring water from one bucket into another. The number 2 (2 x 3) means fill the 3 -litre water buket two times. And for ( - 5) , it means to pour the two 3 litres warter buket to 5 litre and that you get only 1 litre left.
Now pour away the water from the 5 litre of bucket. Now fill the 1 litre of water to the 5-litre bucket. And now we work on ( + 3). It means to fill up the 3 litre bucket and pour into the 5 litre bucket. Remember there is only 1 litre in the 5 litre bucket. So (1 + 3) = 4. There is
how we get the 4 litre of water.
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