ON THE METHOD OF USING THIS WORK, AND CONDUCTING
The following remarks may be useful to the less experienced Teacher using this work, who would make it fully efficient for the purposes intended.
1. The definitions and propositions numbered (1), (2), (3), &c., and the Rules I, II, III, &c., should be accurately memorized and recited by the Student.
2. The accompanying examples, illustrations, or demonstrations, should be required of the Student, and discussed with him on the part of the Teacher, with reference to the principles involved in them.
3. The oral exercises in the earlier parts of the work, should be exacted; and the Student should often be examined on the exercises under the Rules, with his book closed.
4. In the solution of Equations and Problems, he should explain each part of the operation, as exemplified in different parts of the work.
5. The Analysis of Contents (see the next page) will be convenient for reviews on the theory of the science; and such reviews should be frequent. The Student will thus become familiar with the phraseology, principles, and order of the science.
6. The Student's acquisitions will depend very much on the exactness, as well as on the frequency, with which he is examined. The requisitions made on him should be adapted to his capabilities,-which, it should be remembered, are liable to be sometimes overrated, and sometimes underrated, by Authors and Teachers.