The term "numeracy" is used in the adult education community to include an array of mathematically related proficiencies that are evident in adults' lives and worthy of attention in adult education settings. This occasional paper attempts to describe the complex nature of numeracy as it exists today. All stakeholders--including policymakers,…

Described is Xavier University of Louisiana Piagetian-based general chemistry program. Laboratory experiments are in the learning cycle format and place emphasis on learning by doing. Aspects of the curriculum described include synopses of content covered, laboratory-preceding lectures, list of laboratory experiments covered, and evaluation of the…

This study demonstrated an aptitude-strategy interaction in linear syllogistic reasoning; specifically, that the efficiency of each of four alternative strategies for solving linear syllogisms would depend on subjects' verbal and spatial abilities. The four strategies, as well as research methods in aptitude-treatment interaction, are discussed.…

A study with nine physics students in a Quebec university found they saw themselves learning primarily outside the classroom as they solved assigned problems, saw few new concepts being introduced, and felt they had moved beyond memorization to application of concepts to problem solving. Students' perceptions were sometimes at odds with teachers'…

Describes the contents of a book entitled The Care and Feeding of Ideas: A Guide to Encouraging Creativity which considers the thinking process, why skills need to be developed, and how students use or should use these thinking skills. (RT)

Describes a qualitative study that explores students' perceptions of their own learning. Document review, participant observation, and open-ended interviews were used to gather and triangulate data. Factors that were perceived as helpful were woven into a theoretical model. The uses of the model are discussed. (Author/KR)

Relates findings of an empirical study of student use of an interactive videodisc to theories of learning and to other research findings. A study of 12- and 13-year-old students in England is described that examined problem-solving strategies, learning styles, conceptual understanding, group discussion, and the teacher's role. (Contains 17…

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…

Presents results of an experiment enabling students to develop their own cognitive and metacognitive strategies to promote autonomous learning in mathematical problem solving, knowledge acquisition, and written composition. Explains that students dealt with models of teachers' and classmates' cognitive performances and monitored their own…

Interactions between levels of learner knowledge in a domain and levels of instructional guidance were investigated. Inexperienced trade apprentices were presented with either worked examples to study or problems to solve. On subsequent tests, inexperienced trainees benefited most from worked examples. With more experience in the domain, worked…

Scientists and students often believe that if they just think harder about a problem, a solution will follow. However, thinking about one's thinking, or using metacognition, can be a more productive expenditure of mental energy. Introducing students to metacognition allows them to discover the value of reflection. This article presents a lesson on…