An Introduction to Algebra Upon the Inductive Method of Instruction (Classic Reprint)

Excerpt from An Introduction to Algebra Upon the Inductive Method of Instruction

The examples in the first fifty pages involve nearly all the Opera tions, that are ever required in simple numerical equations, with one and two unknown quantities.

In the ninth article, the learner is taught to generalize particular cases, and to form rules. Ilere he is first taught to represent known quantities by letters, and at the same time the purpose Of it. The transition from particular cases to general principles is made as gra dual as possible. At first only a part of the question is generalized, and afterwards the whole Of it.

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