Joshua Girling Fitch Quotes

6 Sourced Quotes

Pure mathematics is a collection of hypothetical, deductive theories, each consisting of a definite system of primitive, undefined, concepts or symbols and primitive, unproved, but self-consistent assumptions (commonly called axioms) together with their logically deducible consequences following by rigidly deductive processes without appeal to intuition.

Joshua Girling Fitch
It is very possible for a teacher to be fluent in speech, earnest in manner, happy in his choice of illustration, and to be a very inefficient teacher, nevertheless. We are often apt to think it enough if we deliver a good lesson, and to forget that, after all, its value depends upon the degree in which it is really received and appropriated by the children. Now, in order to secure that what we teach shall really enter their minds, and be duly fixed and comprehended there, it is above all things necessary that we should be able to use effectively the important instrument of instruction to which our attention is now to be drawn.

Joshua Girling Fitch
I have undertaken to say a few words to you on the "Art of Questioning". It is a subject of great importance to all of you who desire to become good teachers ; for, in truth, the success and efficiency of our teaching depend more on the skill and judgment with which we put questions than on any other single circumstance.

Joshua Girling Fitch
The difference between a wise man and one who is not wise consists less in the things he knows than in the way in which he knows them.

Joshua Girling Fitch
It is by Arithmetic more than by any other subject in a school course that the art of thinking - consecutively, closely, logically - can be effectually taught.

Joshua Girling Fitch
No number of facts or aphorisms learned by heart makes a man a thinker, or does him much intellectual service.

Joshua Girling Fitch