Cognition and Instruction, Vol. 12, No. 1 (1994), pp. 61-93 (33 pages) The problem-solving performance of groups of high-achieving (HA) and low-achieving (LA) Year 11 students was compared during ...

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 ...

A year ago, AlphaGeometry, an AI problem solver created by Google DeepMind, surprised the world by performing at the level of silver medallists in the International Mathematical Olympiad (IMO), a ...

Two points P and P' are isotomic conjugates with respect to triangle ABC if the cevians AP, BP, CP intersect the sides BC, CA ...

This is a preview. Log in through your library . Abstract Although mathematical practice has traditionally valued two distinct kinds of mathematical work— referred to by Gowers (2000) as theory ...

Recall the Property: The diagonals of a rectangle are congruent (equal in length). Apply the Property: Therefore, EG = FH, ...