A Practical Business Arithmetic for Common Schools and Academies Including a Great Variety of Promiscuous Examples Classic Reprint

Excerpt from A Practical Business Arithmetic for Common Schools and Academies: Including a Great Variety of Promiscuous Examples

Pupils should be required to explain fully the examples in arith metic, at least enough Of them to show that they thoroughly under stand them. At first, they Will need to use the blackboard or their slates, but they should also learn to give the explanations mentally, omitting the numbers if too large to be thus calculated, but naming them at each step as they proceed. If they can do this beforehand, they need not be required to perform Operations with which they are already perfectly familiar. In this way they will study mental as well as written arithmetic.

Though the Promiscuous Examples are numerous, some pupils may need to do them repeatedly, in order to become as familiar as they ought to be with the practical application of what they have previously studied. Others may not need to do them all. One or two exercises at a time may be sufficient. After a few days, give them one or two more similar exercises, and continue to do this from time to time till the principles and rules are permanently fixed in their minds.

The rules are designed to aid pupils in making their own rules, rather than to be verbally committed to memory. They should learn to perform all arithmetical Operations, and explain them, inde pendently of the rules in books.

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