Mathematical fiction writing as a learning tool is discussed utilizing an actual example of a student's fictional text related to the field of geometry. Commentary about this example and how it relates to other areas of mathematics can provide teachers with insight into students' schema for organization and internalization of mathematical…

Three male students (ages 13-15) with behavior disorders/emotional disturbances were taught to self-monitor in 3 successive academic areas: reading, mathematics, and spelling. Students made gains in academic accuracy, productivity, and on-task behavior; and improvements were observed across all subject areas. (Author/JDD)

Uses work on children's counting schemes and a radical constructivist orientation to describe the development of computer microworlds for the teaching of rational numbers. Suggests that the design of complex software systems needs a strong theoretical background to provide direction for the design. Suggests that computer environments are the…

Uses the constructivist principle of active learning to explore the possibly essential elements in transforming a cognitive play activity into mathematical activity. Suggests that for such transformation to occur, cognitive play activity must involve operations of intelligence that, yield situations of mathematical schemes. Illustrates the…

Comments on the Fractions Project presented in this same issue. Discusses two major ideas: the construction of mathematics of children and its basis and playful actions as a basis for mathematical actions. Highlights the understanding of children's mathematical concepts and schemes as they grow and are organized in the context of computer…

Comments on the Fraction Project presented in this same issue. Examines the choice of appropriate perspectives on the phenomena induced and observed and the generalizability of the results. Investigates the phenomena as involving student attunement to constraints built into the computer-based learning environments and in terms of explicit…

Comments on the Fraction Project presented in this same issue. Suggests that it has uncovered many implications for instruction. However, there are limitations as the proposed setting is restricted by the present school circumstances. Concludes that better learning will not come from finding better ways for teachers to instruct but from giving the…

Describes the use of Margaret Wise Brown's "The Important Book" to involve students in writing about defining qualities and attributes of geometric shapes. (MKR)

Examined the evolving knowledge and beliefs of a preservice secondary mathematics teacher in a mathematics education course that emphasized mathematical and pedagogical connections and applications of the function concept. Although her understanding of function changed substantially, her anticipated approach to teaching did not. (29 references)…

Describes the use of an integrated learning system (ILS) in a performance-based diploma program for at-risk students at a Florida high school. Academic and vocational requirements are explained; the role of the teacher is discussed; and a sidebar describes an ILS program for a high school math curriculum in Indiana. (LRW)

Discusses the use of children's literature to explore ideas about estimation at three different grade levels. Includes seven citations of children's literature that incorporates ideas related to estimation. (MKR)

Discussion of differences in elementary and secondary school mathematics instruction between the United States and The Netherlands focuses on a Dutch project brought to the United States that uses print materials and software products. Topics addressed include integrating technology into the curriculum; cultural differences; designing assessment;…

Programs designed to enable Australian aborigines who had not successfully completed high school to qualify for science- and mathematics-related courses in higher education emphasize diagnostic testing, individualized instruction, short-term goals, and learner independence. Tutors have instructional, management, and support roles. Some early…

This case study examined the changes in a second grade teacher's beliefs about learning and teaching as she resolved the conflicts/dilemmas between her previous views and the emphasis of a project on children's construction of mathematical meanings. Video cameras were used to record each mathematics lesson from one school year. (SLD)

Discusses the limitations in the explain-practice and active learning methods of teaching mathematics. Proposes that problem-centered learning is a teaching method that encourages student reflection, and presents examples demonstrating that encouraging reflection results in greater mathematics achievement. (MDH)