We examined geometric calculation with number tasks used within a unit of geometry instruction in a Taiwanese classroom, identifying the source of each task used in classroom instruction and analyzing the cognitive complexity of each task with respect to 2 distinct features: diagram complexity and problem-solving complexity. We found that…

Mathematical problems generated by 509 middle school students who were given story-problem descriptions and asked to pose questions that could be answered using the information were examined for solvability, linguistic and mathematical complexity, and relationships within the sets of posed problems. The multiple-step data analysis scheme can be…

Middle school teachers (n=53) and prospective secondary teachers (n=28) posed problems related to billiards before and after solving a sample problem. Found systematic problem generation and more problems posed before solving a sample problem. Posed problems were not always solvable. (MTE)

Examined are the problem similarity dimensions perceived by a student when classifying mathematical word problems as related and the relationship between a student's perception of problem similarity and performance on achievement tests. (MP)

Middle school students' (n=200) solutions to division-with-remainder story problems and their attempts to make sense of their answers were analyzed for evidence that supported or refuted hypothesized semantic-processing models. The models helped explain students' failure to solve these problems in school settings. (Contains 17 references.)…

Explored relationships between 137 grade-8 cognitive items used in the 1990 National Assessment of Educational Progress and selected themes from the National Council of Teachers of Mathematics'"Standards." About half the items related to four "Standards" themes, with most of those being related to problem solving and reasoning. (MDH)

Krutetskii's claim that good problem solvers differ from poor ones both with respect to solution performance and nature of their recall of problem information is supported by this study. The use of recalled information in the solution of related problems is also examined. (MP)

Discusses two major themes that emerged from analysis of interviews with mathematics educators: the nature and role of research within the field of mathematics education and the increasingly international character of the community involved in that research. (19 references) (MKR)

Only 25% of fifth- and sixth-grade Chinese students (n=186) correctly solved a division-with-remainder computation task, about the same success rate as with American students, and only one-sixth of the students could interpret the result. (MKR)