This paper proposes a semantic analysis in which meanings of word problems are structures that include class and order relations, and suggests a hypothesis of developmental levels that can account for children's performance of these problems at various ages. The different kinds of problems vary in the complexity of semantic structures and the…

A game based on the group of permutations on four symbols is described. The game can be used in the study of many algebraic concepts. (SD)

An instructional program is described involving six booklets on descriptive statistics and four computer programs on statistical tests. (MP)

Problem solving is presented as a resource for creating curriculum through reflections on intuition such as: exploring available intuitions, making explicit the intuitions used, and using intuition to generalize. (MP)

Proposes that although the past 30 years have seen increasing efforts to make mathematics more relevant and useful, schools continue to fail. Argues that forced rote learning is the direct cause of this failure and that improved teaching methods must be developed. Urges that shifts in methodology be phased in gradually. (TW)

Proposes that ability is a concept central to the current practices of mathematics teaching. Argues that the widespread view that mathematics learning is an ordered progression through a hierarchy of knowledge and skills subjects students to "ability stereotyping" and serves as a gross global model. (TW)

Reports on a study of possible differences in interaction patterns between a sixth-grade teacher and different groups of students. Results showed consistency in the interactions studied, but important differences occurred in the quality and quantity with students perceived as "best" and "weakest" and boys and girls in…

Discusses the correction of students' work in mathematics. Argues that none of the principles upon which the corrections are based are valid. Urges teachers to avoid negativism, work toward neutrality in the corrections process, and pay more attention to the logic used by the students in getting their answers. (TW)

Discusses some of the difficulties encountered by adult learners in mathematics courses required for re-entry into college. Describes the restructuring of such a course. Emphasizes student inquiry and a teaching/learning model. Discusses the roles of staff and students. (TW)

Discusses the interactions of several students involved in a Dutch research project studying student achievement in elementary school mathematics. Results showed progress by most children, particularly those with low scores on the pretests. (TW)

How the computer as a metaphor affects our understanding of the processes of learning and teaching is explored. After describing reflection and recursion in mathematics and their roles in thinking and learning, models of the mind and teaching effects are discussed, with self-awareness as a theme. (MNS)

The idea of mathematical camps for bright pupils is discussed. Some activities in such a camp include meetings with scientists, mathematical evenings, brain-teachers, semi-seminars, brainstorming, guiding texts, Olympian club, consultations, adventures, marches, and various games and competitions. These were evaluated by camp participants in…

Reports on a study into first grade student's interpretations of the equals sign in different contexts. Argues that varying situations affect students' understanding of such arithmetic concepts, including the social interaction patterns in the classroom during arithmetic instruction. (TW)

Describes the characteristics of progressive schematization with regard to column multiplication and column division. Contrasts this with column arithmetic based on progressive complexity. Presents a summary of research data concerning column arithmetic. (TW)

Reports on a study into the problem solving abilities of students in a Jamaican high school who were intentionally taught problem solving strategies during one-sixth of their mathematics instruction for one academic year. Results indicated no significant increases in their performance on a problem solving test. (TW)