7 quotes
The teaching of axioms should come after conveying the theory in a looser version.
The Rainbow of Mathematics: A History of the Mathematical Sciences (2000)
Mathematics is one of the most basic -- and most ancient -- types of knowledge. Yet the details of its historical development remain obscure to all but a few specialists.
Companion encyclopedia of the history and philosophy of the mathematical sciences (2003)
From the 3rd century onwards, orthodox Christianity, based on a Hebrew story and worshipping the Jew Jesus, also led many campaigns of anti-Semitism.
The Rainbow of Mathematics: A History of the Mathematical Sciences (2000)
In addition, the teaching of theories from axioms, or some close imitation of them such as the basic laws of an algebra, is usually an educational disaster.
The Rainbow of Mathematics: A History of the Mathematical Sciences (2000)
It [ non-Euclidean geometry ] would be ranked among the most famous achievements of the entire [nineteenth] century, but up to 1860 the interest was rather slight.
The Rainbow of Mathematics: A History of the Mathematical Sciences (2000)
Non-Newtonian calculi... have considerable potential as alternative approaches to traditional problems.
Mathematics occupies a peculiar position in cultural life today. 'Everybody knows' that it is one of the most basic, and also ancient, types of knowledge; yet it is not part of normal cultural discourse, and few people know much about its historical development, or even that it has a history.