The desire to explore thus marks out the mathematician. This is one of the forces making for the growth of mathematics. The mathematician enjoys what…

- W. W. Sawyer

In mathematics, if a pattern occurs, we can go on to ask, Why does it occur? What does it signify? And we can find answers to these questions. In fac…

- W. W. Sawyer

Most remarks made by children consist of correct ideas very badly expressed. A good teacher will be very wary of saying 'No, that's wrong.' Rather, h…

- W. W. Sawyer

You know what speed is. You would not believe a man who claimed to walk at 5 miles an hour, but took 3 hours to walk 6 miles. You have only to apply …

- W. W. Sawyer

The present syllabus in our high schools corresponds almost exactly to what was known in 1640.

- W. W. Sawyer

Bad teaching is teaching which presents an endless procession of meaningless signs, words and rules, and fails to arouse the imagination.

- W. W. Sawyer

Very few people realize the enormous bulk of contemporary mathematics. Probably it would be easier to learn all the languanges of the world than to m…

- W. W. Sawyer

When we find ourselves unable to reason (as one often does when presented with, say, a problem in algebra) it is because our imagination is not touch…

- W. W. Sawyer