President Garfield's life is reviewed, and his proof of the Pythagorean theorem is presented. (DT)

The degree to which second and third grade children learn transformational geometry concepts under specific instructional conditions and the effects of transformational geometry instruction upon the children's spatial abilities are studied. Results imply that the students learned aspects of transformational geometry but that their spatial…

The author remarks on the purpose(s) and content of existing geometry courses and offers alternative purposes and goals for geometry courses and some consequences of this alternative point of view. (JG)

Seven articles present: 1) a solution to a force equilibrium problem, 2) a magic square, 3) a characteristic of right triangles, 4) a family tree of Pythagorean triples, 5) a misunderstanding which may be cleared through modern mathematics, 6) a technique for solving conversion problems, and 7) a special permatation problem. (RS)

Presents content and approaches for teaching geometry at the K-6 level. By use of the discovery technique, the author demonstrates how various topics can be taught beginning in three-dimensionalspace with the study of solid shapes. The sequence begins with the sorting of solid shapes, is followed by the ordering of solids by size and leads to the…

Six short articles concerned with mathematics education are included. (FL)