A category system for organizing six thinking skills and methods for teaching these skills, using the concept of time, are provided. Representing a proposed sequential order of development, the six thinking skills are: (1) imaging--the creating of an internal mental representation of an external thing and the labeling of that representation, (2)…

The two-part activity outlined in this paper reveals to undergraduate students that assumptions made in theory building remain unquestioned until one steps outside the initial realm of expectations, and that theories adopted have a demonstrable impact on behaviors. Part I defines a theory, describes the roles of assumptions and knowledge in…

Compared are the van Hiele levels of geometric thinking and the geometry curriculum recommended by the National Council of Teachers of Mathematics Curriculum and Evaluation Standards for School Mathematics. Activities which illustrate the various levels are provided by grade level with procedures. (CW)

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)

Reviews the logic underlying mathematical induction and presents 10 tasks designed to help students develop a conceptual framework for mathematical induction. (Contains 20 references.) (MDH)

The contrast between the teaching of reading and mathematics is drawn. A new set of learning conditions for mathematics is presented based on a model of reading instruction. Immersion, demonstration, engagement, expectations, responsibility, use approximation, response, refinement, and outcomes are discussed. (CW)

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…

The relationship between mental models used in problem solving and strategies children use when problem solving with manipulative materials are discussed. Teaching strategies for bridging the gap between the two are suggested. (CW)

Utilizing geometric topics as examples, this article describes the uses of concept maps specific to the evaluation of teaching outcomes, the monitoring of student progress, and the introduction of learning activities, particularly the initiation of classroom discourse to encourage students to articulate their own ideas and to appreciate the ideas…

Reports a study to investigate the extent to which research experience of designing and conducting their own study could enhance five preservice teachers' understanding of children's knowledge of the mathematical concept of fractions. Results indicated that research experience is fruitful in developing an inquisitive disposition in preservice…

Discusses recent research in cognitive psychology that identifies how students are likely to respond when controversial issues are included in course content. Points out that controversial material may lead to misunderstandings and forgetting. Provides teaching ideas to enhance student learning and remembering, to deal with emotions, and to foster…

Maintains that student-centered curriculum embodies the progressive and constructivist principles of active, participatory learning. Advocates emphasizing the importance of context as part of a constructivist approach. Includes instructional examples of connecting contextual information about artworks to constructivist activities. (MJP)