This paper, prepared for a European conference on mathematics education in the 1980's, reviews the traditional curricular approach and recent changes in ten European countries. The contributions of individuals and national societies to these changes are discussed. (SD)

This paper, the author's introductory remarks at a British conference concerning Modern Mathematics and the Teaching of Science, describes the contrasting objectives of students, mathematicians, and scientists with respect to the mathematics curriculum. (SD)

Many geometric principles can be discovered or illustrated using toothpicks in conjunction with two longer straightedges. (SD)

Twenty third-year students from two rural teachers' colleges in Jamaica carried out a coordinated set of individual investigations into children's learning of geometrical concepts during their assignment to schools as intern teachers. All the studies, which covered classes from grade 2 to grade 10, included some initial testing of children's…

A problem is posed concerning the area of certain parts of a plane geometric figure. The problem was used in a student contest with 71 of 270 mathletes answering correctly. An outline of the general proof is given. (LS)

Geoboards have been effectively used to teach geometric concepts to children in third and tenth grades at the Halifax School for the Blind. (LH)

This paper describes an investigation of problem sequencing as part of a symposium presenting theoretical concerns and research findings regarding several diverse types of strategies for designing and presenting instructional materials. The first step involved analyzing a set of problems, to determine the knowledge (rules) required for solving the…

A series of problems concerning a geoboard with "holes" is suggested. (SD)

The author provides a detailed example of the use of the circular geoboard in suggesting an hypothesis which is then proven. (SD)

Elucidated is the relationship among three threads of mathematical investigations: Kirkman's schoolgirl problems, finite geometries, and Euler's n-square officer problems. (JP)

A teacher tells how she uses the game of chess to introduce students to formal geometry by drawing analogies between rules of chess and deductive systems. (JP)