An artificial-intelligence (AI) tool can rigorously prove whether geometric facts — statements about two-dimensional shapes such as triangles or polygons — are true, just as well as competitors in the ...

Every time Elena publishes a story, you’ll get an alert straight to your inbox! Enter your email By clicking “Sign up”, you agree to receive emails from ...

Colleen Ritzer had the challenging job of getting sleepy, slouching high school students to work geometry proofs — the tedious building of evidence to show that two angles are congruent, or two lines ...

In this case the 2D Radon transform is sampled for , , and , . Here is the radius of the reconstruction region, i.e. we assume f(x) = 0 for , . This means that the measured rays come in p parallel ...

Educational Studies in Mathematics, Vol. 94, No. 1 (January 2017), pp. 37-54 (18 pages) This paper reports the results of an international comparative study on the nature of proof to be taught in ...

A study has used eye-tracking techniques to analyze the processes of selective attention that determine the way in which we explore and interact with our environment. Researchers studied the movements ...

THE text-book by Mr. Allcock, of which part iii. is now issued, is an excellent substitute for Euclid for those teachers who wish to confine attention mainly to deductive geometry. Experimental and ...

It is well known (see e.g. Kruse (1989)) that the data in the standard parallel geometry is redundant: If p is even, then one can omit each with odd without impairing the resolution. Deriving ...

Horizontal lines run left to right, parallel to the horizon, with slope 0 and equation y = k. Vertical lines run top to bottom, perpendicular to the horizon, with undefined slope and equation x = k.