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# Manipulatives

Discuss the statement , In order for children to understand the use of paper-and-pencil algorithms, they should explore addition by first using manipulatives. Do you agree with this statement? Give examples from your own life of this principle (taking what you know and applying it to new things).

Discuss the importance of teaching mental mathematics and estimation to young children. With the prevalence of computers and the calculator, do you think it is valuable for students to be able to do operations in their head? What about on paper?

#### Solution Preview

Hi, herewith I have attached the explanation.

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Discuss the statement , In order for children to understand the use of paper-and-pencil algorithms, they should explore addition by first using manipulatives. Do you agree with this statement? Give examples from your own life of this principle (taking what you know and applying it to new things).

Discuss the importance of teaching mental mathematics and estimation to young children. With the prevalence of computers and the calculator, do you think it is valuable for students to be able to do operations in their head? What about on paper?

Part I

Paper and pencil algorithm for large integer number multiplication can be implemented by transforming the large number multiplication into single-word.

Paper-and-pencil skills are practical in certain situations, are not necessarily hard to acquire, and are widely expected as an outcome of elementary education. If taught properly, with understanding but without demands for "mastery" by all students by some fixed time, paper-and-pencil algorithms can reinforce students' understanding of our number system and of the operations themselves. Exploring algorithms can also build estimation and mental arithmetic skills and help students see mathematics as a meaningful and creative subject.

Let's take an example (Addition algorithms):

Step 1:
BASE-10 ...

#### Solution Summary

This provides a possible answer to the question of whether or not manipulatives are useful in understanding mathematical algorithms.

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