How to Solve It; A New Aspect of Mathematical Method

Schaeffer, A. C.; Polya, G.

doi:10.2307/1416910

Cited by 3 publications

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Why Is There Philosophy of Mathematics At All?

Hacking

2014

159

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This truly philosophical book takes us back to fundamentals - the sheer experience of proof, and the enigmatic relation of mathematics to nature. It asks unexpected questions, such as 'what makes mathematics mathematics?', 'where did proof come from and how did it evolve?', and 'how did the distinction between pure and applied mathematics come into being?' In a wide-ranging discussion that is both immersed in the past and unusually attuned to the competing philosophical ideas of contemporary mathematicians, it shows that proof and other forms of mathematical exploration continue to be living, evolving practices - responsive to new technologies, yet embedded in permanent (and astonishing) facts about human beings. It distinguishes several distinct types of application of mathematics, and shows how each leads to a different philosophical conundrum. Here is a remarkable body of new philosophical thinking about proofs, applications, and other mathematical activities.

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Why Is There Philosophy of Mathematics At All?

Hacking

2014

159

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¿Para qué se inventaron los problemas de química?

Aymerich

2018

Educación Química

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<span>En este artículo se reflexiona sobre la finalidad de los problemas que se plantean en los manuales de química y que se resuelven en la clase de problemas. Estos problemas son muy parecidos a los que aparecían en los libros de texto de finales del siglo XIX, a pesar de que ha transcurrido mucho tiempo, la química ha cambiado mucho y las finalidades de la enseñanza de la química también lo han hecho. Como consecuencia de la reflexión se hace una propuesta para nuevos problemas con nuevos contenidos y con nuevos formatos.</span>

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A proposal for an IOI Syllabus

Verhoeff¹,

Horváth²,

Diks³

et al. 2006

TMCS

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The International Olympiad in Informatics (IOI) is the premier competition in computing science for secondary education. The competition problems are algorithmic in nature, but the IOI Regulations do not clearly define the scope of the competition. The international olympiads in physics, chemistry, and biology do have an official syllabus, whereas the International Mathematical Olympiad has made the deliberate decision not to have an official syllabus. We argue that the benefits of having an official IOI Syllabus outweigh the disadvantages. Guided by a set of general principles we present a proposal for an IOI Syllabus, divided into four main areas: mathematics, computing science, software engineering, and computer literacy.

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How to Solve It; A New Aspect of Mathematical Method

Cited by 3 publications

References 0 publications

Why Is There Philosophy of Mathematics At All?

Why Is There Philosophy of Mathematics At All?

¿Para qué se inventaron los problemas de química?

A proposal for an IOI Syllabus

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