Examined is the situation in which pupils invent mathematics on their own and teachers' reactions to this situation. The assimilation of students' original ideas into correct mathematical concepts is discussed. (CW)

This practicum was designed to incorporate critical thinking skills instruction and practice into a fourth-grade curriculum to increase fourth-grade students' ability to recognize and apply critical thinking strategies to appropriate situations. This program concentrated on the increasing of six critical thinking skills: classification, sequence…

This monograph represents 5 years of collaborative discussions among individuals interested in improving the teaching and learning of mathematics beginning in 1985 with the planning of a conference and culminating in the production of this collection of 13 papers to be presented at the conference. Chapters include: (1) an introduction…

This report considers how the mathematical knowledge children develop on their own outside of formal school instruction can be used to increase the distribution and level of mathematical knowledge attained by students in grades K-3. Included are preliminary results of an investigation of the counting and calculating abilities brought to…

Presented are the results of a study of the effects of peer-led tutoring groups on achievement in college chemistry. Supplemental instruction was effective in increasing students' achievement in chemistry as measured by final grades in chemistry and responses to a questionnaire. (CW)

An influential proposal about aquiring mathematical knowledge is that it entails linking instruction-based concepts to intuitions derived from informal activities. In the case of non-positive numbers, informal knowledge is unlikely to emanate from observing physical objects, because non-positive objects or sets of objects do not exist. However, it…

This is volume 5 in the series of translations of books from the Soviet literature on research in the psychology of mathematics instruction and on teaching methods influenced by the research. The heart of this volume is the need to establish a continuity between sensory perceptions and conceptual development as children progress from work in…

This study examined the benefits to teachers who used impromptu writing prompts in first- and second-year algebra classes. Interpretive research methodology was used to collect and analyze data. Concluded that teachers' assessment of students' understanding was enhanced by reading their students' responses to impromptu writing prompts, thus…

Reviews theoretical developments in science education and integrates them into a humanistic constructivist model of science learning. Applies this model to the new English national science curriculum. Explains the changing focus in science curriculum and pedagogy. Discusses theories of science learning in relation to the Education Reform Act…

The researcher conducted a six-month ethnographic study as an apprentice carpenter in Cape Town, South Africa, to document the valid mathematical ideas that are embedded in the everyday woodworking activities of a group of carpenters. A secondary objective was to examine and to give a firsthand account of the teaching and learning of mathematical…