BEAUTY IN MATHEMATICAL EDUCATION: SYNERGETIC WORLDVIEW

Mathematical Beauty, Understanding, and Discovery

In a very influential paper Rota stresses the relevance of mathematical beauty to mathematical research, and claims that a piece of mathematics is beautiful when it is enlightening. He stops short, however, of explaining what he means by ‘enlightening’. This paper proposes an alternative approach, according to which a mathematical demonstration or theorem is beautiful when it provides understan...

Towards Worldview Education beyond Language-Culture Incommensurability

This article presents an axiomatic expression of science education: [SCIENCE EDUCATION] is a system of teaching [SCIENCE]. The axiom includes two indefinable terms, [SCIENCE EDUCATION] and [SCIENCE]. In the same way that axiomatics of geometry distinguishes among axioms, postulates and theorems, the axiom presupposes a distinction among the three stages of cognition: axiom, postulate and theore...

Mathematicians Versus Philosophers in Recent Work on Mathematical Beauty

Education in Professionalism: The Radiologist as Beauty Queen.

O nMay 3, 2014 in Atlanta, Georgia, Arthy Saravanan was crownedMrs. India International 2014. Several factors made this event particularly remarkable. As a child, Arthy had been a tomboy, more interested in cars, tree climbing, and playing sports with her older brother than dressing up. She had no experience with pageants of any kind, and until just a fewmonths before the contest, she had never...

Seashells: the Plainness and Beauty of Their Mathematical Description

One might at first tend to think that the growth of plants and animals, because of their elaborate forms, are ruled by highly complex laws. However, this is surprisingly not always true: many aspects of the growth of plants and animals may be described by remarkably simple mathematical laws. An obvious example of this are the seashells and snails, as we show here: with a very simple model it is...