This is a preview. Log in through your library . Abstract This study investigated relations between van Hiele levels, achievement in writing geometry proofs, and achievement in standard geometry ...

J. R. Brown, Philosophy of mathematics: an introduction to the world of proofs and pictures, Routledge (1999). 2. R. B. Nelsen, Proofs without words I: exercises in ...

This is an updated version of a story first published on Nov. 1, 2024 For centuries, students have learned that in a right ...

OpenAI researchers reveal how their experimental model, devoid of any external aids, powered through hours-long proofs to ...

Two years ago, a couple of high school classmates each composed a mathematical marvel, a trigonometric proof of the Pythagorean theorem. Now, they’re unveiling 10 more. For over 2,000 years, such ...

Landmark results in geometry and number theory marked an exciting year for mathematics, at a time when advances in artificial intelligence are starting to transform the subject’s future. In May, a ...

A mathematician once lamented that — despite popular belief — his job did not entail simply multiplying bigger and bigger numbers together. One may be quite forgiven for believing this, however. The ...