Monday, September 27, 2010

Blog (F)- Whole Numbers

Traditional Algorithms
Once students have developed one or more invented methods for the operation, the traditional algorithm can be discussed and in a much more meaningful manner than had the invention period never taken place. Before developing the algorithmic method, the teacher should begin with models only (do approach) and anticipate any difficulties that may arise in the development of the written record. Although it is common to teach a single algorithmic process, it is important to recognize that more than one algorithmic method is available for each of the operations.


The traditional algorithms for addition and subtraction require an understanding of trading (formerly called carrying, borrowing, or regrouping).


Computational strategies for multiplication are considerably more complex than for addition and subtraction. The student will need experience breaking down numbers in flexible ways since the focus moves away from focusing on numbers to thinking of digits. The division algorithm often thought of as the most onerous of the computational operations, can be considerably easier than the multiplication algorithm. Division is the one algorithm that starts on the left and moves to the right, common in most invented strategies.


Mention one thing that the book suggests and are already in practice in pre-schools. 
Like the book mentions, in most preschools we teach the children early counting, including addtion and subtraction,  numeral writing and recognition, counting forward and backward, concept of more/less and same. Most of these topics are taught in preparation for the children's primary school education. 


Mention one thing that the book suggests but is not a common practice in pre-school.
The book talks all about taking the children from one step to another to gain higher learning but sadly to say due to limited time, we tend to rush through the lessons and depend alot on worksheets. Sometimes, i would think to myself and wonder if the children even understand the concept that i have just taught them. But it's something for me to think about and plan my time table in a manner that i have ample time with the children. 

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