IN a recent number of NATURE (June 30) there appeared a review of a book by G. Mannoury on the philosophy of mathematics, and the reviewer emphasised a statement of the author to the effect that the ...

This paper presents a case study investigating the knowledge constructed by two 12 year-old children working with a geometrical Logo microworld allowing the Logo turtle to measure distances, and turns ...

CONSIDERING its subject, this bibliography V ' seems at first sight extraordinarily large; but there are several reasons why it is not so formidable as it looks. The actual list of titles occupies pp.

Bernhard Riemann was a man with a hypothesis. He was confident that it was true, probably. But he didn’t prove it. And attempts over the last century and a half by others to prove it have failed. A ...

In 1847, an eccentric British mathematician named Oliver Byrne released a new edition of Euclid’s famous mathematical treatise, The Elements of Geometry. Byrne added a rather longwinded but ultimately ...

Tests given to an Amazonian tribe called the Mundurucu suggest that our intuitions about geometry are innate. Researchers examined how the Mundurucu think about lines, points and angles, comparing the ...