We take strong ground when we appeal to the beauty and truth of Mathematics; that, as Ruskin points out, two and two make four and cannot conceivably make five, is an inevitable law. It is a great thing to be brought into the presence of a law, of a whole system of laws, that exist without our concurrence,––that two straight lines cannot enclose a space is a fact which we can perceive, state, and act upon but cannot in any wise alter, should give to children the sense of limitation which is wholesome for all of us, and inspire that sursum corda which we should hear in all natural law.
Affiliate links are included below.
Poetic Knowledge by James Taylor
Leisure: the Basis of Culture by Josef Pieper
For the Children's Sake by Susan Schaeffer Macaulay
Real Learning by Elizabeth Voss
A Mathematician's Lament by Paul Lockhart
Chasing Rabbits by Sunil Singh
In a word our point is that Mathematics are to be studied for their own sake and not as they make for general intelligence and grasp of mind.
Charlotte Mason, Towards a Philosophy of Education
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