Discussed is the meaning of the word "of" as is found in mathematical expressions that involve fractional numbers. The conceptual rather than numerical distinction is stressed. Teaching techniques regarding difficulties with this concept are suggested. (CW)

Children's solutions to simple word problems requiring addition or subtraction skills develop through four stages: (1) modeling with objects; (2) utilization of both modeling and counting strategies; (3) reliance on counting strategies; and (4) reliance on number facts. The current primary mathematics curriculum fails to capitilize on rich…

Explores mathematical methods children use to find answers for themselves. Describes some methods used for multiplication and subtraction problems. (YP)

Presents concluding remarks to a symposium, "The Social Organization of Knowledge and Practice." Focuses on high aptitude of persons in everyday situations to solve problems and make decisions. Addresses three questions: (1) What happens when a problem-solver reaches a situation involving calculation? (2) How does learning transfer take place? and…

In order not to waste the time of the people working hard and sacrificing to become literate, literacy must offer them a real opportunity to change their life situation. Although many literacy programs are designed to fit the everyday lives and situations of their students, the same is not true for programs that teach arithmetic. Most adults…

Introduces a collection of papers presented at a symposium on the situationally-specific character of problem-solving practices. Reports that findings provoke speculation about relations among social contexts, knowledge and activity, and relations between school-learned problem-solving techniques and those used in other settings. (KH)