These materials were written with the aim of reflecting the thinking of Cambridge Conference on School Mathematics (CCSM) regarding the goals and objectives for school mathematics K-6. In view of the experiences of other curriculum groups and of the general discussions since 1963, the present report initiates the next step in evolving the "Goals". Three areas considered in this report are geometry, functions in preparation for calculus, and applications. Two working papers are presented on applications - probability and mechanics and slopes. One working paper on circular functions is included. Fifteen working papers are presented involving geometry and geometrical concepts. The papers on geometry include examination and description of common objectives; playing with figures, blocks, and tessellations; constructions; graphs and polygons; tessellations; dissection of figures; order; measurement; similarity and map making; symmetry, congruence, and rigid motion; transformation groups; rotations and matrices; iterated reflections in mirrors; knots; and spheres, cylinders, and torus. [Not available in hard copy due to marginal legibility of original document]. (RP)