The author attempts to provide in compact form information to correct problems related to "frieze groups" and "wall paper groups" and, in addition, provide useful visual references for readers of the literature on the plane symmetry groups. (MN)

The author presents the rationale, activities, and reactions toward a project concerned with conditioning mathematicians for the purpose of contributing meaningfully toward the solution of some of the problems of mathematics education at the pre-college level. The conditioning process includes one full academic year in the pre-college classroom.…

A diagrammatic approach to invariants of knots is the focus. Connections with graph theory, physics, and other topics are included, along with an explanation of how proofs of some old conjectures about alternating knots emerge from this work. (MNS)

Utilizing composition of elementary functions as prototype of dynamical system, notions of periodic points and their orbits in relation to concept of shift map are used to illustrate concept of continuity. A special case of Sarkovskii's theorem, dealing with period-3 point, is presented with proof relying solely upon Intermediate Value Theorem and…

The evolution of Archimedes' method is traced from its geometrical beginning as a means to approximate pi to its modern version as an analytical technique for evaluating inverse circular and hyperbolic functions. It is felt the web of old and new algorithms provides considerable instructional material, and ideas are offered. (MP)

The statement on the mathematics needed by students planning to take collegiate mathematics and the list of recommendations to strengthen the preparation of students for collegiate level courses prepared by a joint committee of the Mathematical Association of America and the National Council of Teachers of Mathematics in March, 1976, are…

A college course designed to teach students about the mathematics of symmetry using pieces of wallpaper and cloth designs is presented. Mathematical structures and the symmetry of graphic designs provide the starting point for instruction. (MP)

A Mathematics Colloquium program for broadening the mathematics education of graduate students is described. In the program, pre-colloquium lectures are given to provide enough background material to make the general ideas of the colloquium lecture understandable to the interested graduate student. (MN)

The trend toward forcing early specialization on the part of the undergraduate mathematics student is questioned by the author in connection with its effect on inhibiting communication within the mathematics community itself as well as between it and those outside of it. A Mathematics Clinic, developed to broaden the student's scope of…

People are noted as intrigued for centuries by interplay between algebra and geometry with many important advances viewed to have come down through some sort of linking of the two. Examples are given of advantages to learning and discovery that can be found in an investigative approach combining them. (Author/MP)

The author reviews a selection of mathematical problem books currently available. Methods of teaching mathematics courses based on problem solving are covered along with suggestions on how to conduct problem seminars. (MP)