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children should be read by the teacher, and answers only required of the pupils. Formal analysis should be deferred; when insisted upon at too early a stage, it interferes with progress and deadens the pupil's interest.

It is believed that in plan, matter, and method this book is in substantial accord with the views of progressive teachers in the best schools, and that it will prove a suitable foundation for and introduction to the more formal and rigorous treatment presented in the Advanced book of the series. Its contents are such, however, that pupils who can complete only this book will find themselves fitted to cope with the ordinary problems of every-day life.

July 2, 1900.

THE AUTHORS.

FIRST STEPS:

CONTENTS.

Indefinite Comparison, Form, Counting, Measuring—
Use of Ruler, Concrete Exercises

1-43

44-74

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Numbers to 20-Tens and Ones, Combinations, Month,

Year, Roman Notation, Fifth, Ounce, Pound, Sixth,

100-134

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Numbers to 60-Table of 6's, Hour, Minute, Second

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1. The line OB is longer than which line?
The line OB is shorter than which line?
The line OA is shorter than which lines?
The line OC is longer than which lines?
Which line is longer than the line OB?
Which lines are shorter than the line OC?
Which line is shorter than the line OB?

-C

Is any one of these lines longer than the line OC? Is any one shorter than the line OA?

A

B

C

2. Cut splints the same length as A, B, and C.

Show me the longest.

Show me the next longest.

[1]

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