Reports on two types of unsolvability in mathematics. One is an instance of impossibility and the second is a judgment of undecidability. Presents a number of examples of undecidable propositions. (GS)

Reported is one researcher's efforts to solve a classic mathematical problem called the "sphere packing problem." The historical barriers to solving this geometry problem are discussed. (CW)

The idea that females may be born with less mathematical ability than males is explored. Data from Benbow and Stanley, as well as from the Education Commission of the States, are considered. (MP) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).

Reports that a congenitally blind child, as well as sighted but blindfolded children and adults, can determine the appropriate path between two objects after traveling to each of those objects from a third object. Explores relationships of finding to geometric principles underlyinq innate spatial knowledge and inferential ability. (Author/CS)

The American Association for the Advancement of Science is involved in projects to capitalize on resources the scientific community can share with schools. Projects and sponsors include "The National Forum for School Science" (Carnegie Corporation), "Challenge of the Unknown" (Phillips Petroleum), and "Science Resources…

Highlights findings from cognitive science which suggest new approaches for science and mathematics instruction, addressing role of naive theories and qualitative understanding of situations in problem-solving. Also considers nature of the learner based on the findings. (JN)