Describes a series of lessons used with a year-five class which encouraged the use of analogical reasoning in problem solving and giving attention to students' awareness of strategies and applications. Students were encouraged to discuss and question their own thinking to make connections among the problems being solved. (MKR)

Use of probes and data-logging software to introduce dynamic line graphs to young children in the context of science investigations found this approach facilitated effective use of line graphs as models of relationships between variables. (Author/MKR)

Presents a case study of one preschooler's mathematical attitudes and strategies, along with a discussion of how the child's mother influenced and guided the preschooler's actions. Bedtime story reading and everyday gamelike activities are shown to be sources of natural mathematics in this particular home, where the mother is aware of and acts to…

Discusses a case study in which the cognitive monitoring moves of a pair of preservice elementary education teachers were examined during cooperative problem-solving tasks. Concludes that assuming different roles during the problem-solving experience can be an effective strategy and a potentially helpful learning experience. (31 references) (MDH)

This review of research finds that, when IQ and reading ability are controlled, "true" math deficits of students with learning disabilities, attention deficit disorders, and attention deficit hyperactive disorders (ADHD) are specific to mathematical concepts and problem types. Slow computation affects problem solving by increasing attentional…

Presents perspectives from students and teachers about project work in mathematics. Presents a theoretical framework consisting of problem-centered studies, interdisciplinarity, participant-directed studies, and the exemplarity principle. Contrasts theoretical conceptions with practice. (MKR)

Developmental Software Awards were presented to seven computer programs: (1) Kidpix (Broderbund Software), art; (2) FaceMaker, Golden edition (Queue), creative problem solving; (3) My Words (Hartley Courseware) and Paint with Words (MECC), language; (4) EZ Logo, revised edition (MECC) and Learn about Plants (Create and Worlds), math and science;…

Presents a day of activities to encourage students to participate in mathematics. Five contests include poster; model; mathematics puzzle; mathematics problem challenge; and essay. Some student entries and the rules for each contest are described. (MKR)

Presents a historical overview of learning theories in mathematics education applied to the teaching of integers. Theories discussed are meaning vs. rote learning; direct vs. incidental; discovery vs. exposition; concrete vs. abstract; and construction vs. transmission. Includes a reproducible activity sheet and 19 references. (MKR)

Proposes the use of conceptualization, exploration, and higher-level problem solving in differential equations courses as a replacement for some of the traditional material that can now be delegated to the computer. (MKR)

Interviews with elementary and secondary principals (n=28) and teachers (n=209) about calculator use in mathematics classes in 1990 found that use of calculators remained largely unchanged from 1979, and calculators used were becoming more varied and sophisticated, although few teachers had used graphing calculators. (10 references) (Author/MKR)

Presents the use of manipulatives in the three stages of concept learning called concrete, bridging, and symbolic. Examines the three stages in developing the concept of rounding two-digit numbers. (MDH)

Describes the Elementary Mathematics Research Model, which furnishes a vehicle for problem solving through real data collection and analysis. (MKR)

Presents activities which use patterns on geoboards or dot paper to develop geometry and measurement concepts. Includes reproducible student worksheets. (MKR)

Discusses different approaches to using student journals in mathematics, including showing a heuristic and practicing skills, creating routine and nonroutine problems using real-life situations, documenting and analyzing mathematical thinking, and following up. (10 references) (MKR)