The present book is not a methodology of mathematics in the sense that I will systematically show how some teaching matter should taught; it is not even a systematic analysis of subject matter. I hardly ever refer to well-organized classroom experiments evaluated by statistical methods, nor do I cite experimental results of developmental psychology or the psychology of learning. Maybe the most striking feature is that this book contains few quotations. I will try to justify all these features.
Hans FreudenthalRelated topics
analysis book cite developmental experimental feature few learning mathematics matter maybe methodology nor present psychology refer sense should show striking subject teaching teach try classroomRelated quotes
I was appalled to find that the mathematical notation on which I had been raised failed to fill the needs of the courses I was assigned, and I began work on extensions to notation that might serve. In particular, I adopted the matrix algebra used in my thesis work, the systematic use of matrices and higher-dimensional arrays (almost) learned in a course in Tensor Analysis rashly taken in my third year at Queen's, and (eventually) the notion of Operators in the sense introduced by Heaviside in his treatment of Maxwell's equations.
Kenneth E. Iverson
My Soul gave me good counsel, teaching me to love what the people abhor and to show good will toward the one they hate. It showed me that Love is a property not of the lover but of the beloved. Before my Soul taught me, Love was for me a delicate thread stretched between two adjacent pegs, but now it has been transformed into a halo; its first is its last, and its last is its first. It encompasses every being, slowly expanding to embrace all that ever will be.
Kahlil Gibran
I love to read the dedications of old books written in monarchies-for they invariably honor some (usually insignificant) knight or duke with fulsome words of sycophantic insincerity, praising him as the light of the universe (in hopes, no doubt, for a few ducats to support future work); this old practice makes me feel like such an honest and upright man, by comparison, when I put a positive spin, perhaps ever so slightly exaggerated, on a grant proposal.
Stephen Jay Gould
No dogma taught by the present civilization seems to form so insuperable an obstacle in a way of a right understanding of the relations which culture sustains as to wilderness, as that which declares that the world was made especially for the uses of men. Every animal, plant, and crystal controverts it in the plainest terms. Yet it is taught from century to century as something ever new and precious, and in the resulting darkness the enormous conceit is allowed to go unchallenged.
John Muir
If physics is too difficult for the physicists, the nonphysicist may wonder whether he should try at all to grasp its complexities and ambiguities. It is undeniably an effort, but probably one worth making, for the basic questions are important and the new experimental results are often fascinating. And if the layman runs into serious perplexities, he can be consoled with the thought that the points which baffle him are more than likely the ones for which the professionals have not found satisfactory answers.
Edward Condon
