Contends that the teaching of mathematics permits expansion of the personality and furthers development of intellecutual independence. (Author/DB)

This book represents a compilation of the views and ideas of the late Hans Freudenthal, representing his last major contribution to the field of mathematics education. Rather than a presentation of new views, Freudenthal selected and streamlined old ideas, many gathered from his lectures in China, and formed a review of questions and issues in…

According to Alfred North Whitehead, education precedes through three stages as it develops students' minds: (1) romantic; (2) precision; and (3) generalization. These stages are related to Whitehead's ideas about prehension and symbolic reference. Educational practices should strike a balance between the stages to encourage learning. (PP)

Babies and young children learn through extensive experimenting and by being encouraged, unknowingly, by parents to use their multiple intelligences. Later, children are forced to conform to the narrow intelligence valued by the formal education system; those who can not adapt drop out. By using multiple intelligences, we access a greater portion…

The goal of this paper is to sketch the epistemological roots of constructivism, to clarify certain implications of Piaget's constructivist theory for science education, and to explicate the issues surrounding a specific research study and its replication. Constructivist epistemology is described in terms of its emergence from rationalist,…

Twelve middle school students, working in pairs, used a computer microworld to explore introductory geometric transformational concepts. Despite a tendency for symbolic overgeneralization, the students were able to use visual feedback from the microworld and discussions with partners to correct their own mistakes. (Author/JJK)

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…

Offers LOGO as an environment that facilitates the development of cognitive strategies useful in problem solving. Presents LOGO activities requiring students to combine preprogramed procedures to produce worksheet patterns. Using this approach promotes using LOGO as a vehicle for problem solving and results in a more positive attitude toward LOGO.…

Reviews research on (1) schemata acquisition while learning mathematics and techniques for detecting schema in mathematics learners; and (2) assessment of the distribution of cognitive resources while learning mathematics that lead to the design of instructional techniques to facilitate schema acquisition. (26 references) (MDH)

Presents activities employing LOGO to help create situations that enable students to make meaningful cognitive connections while exploring mathematical relationships. Activities explore the concepts of angles and rotations, progressing from off-line to on-line activities with suggested extensions. (MDH)

This monograph describes the origins of the learning cycle, related research, and how future research might be conducted to further the understanding of theories of instruction. A wide range of information is synthesized, producing a coherent framework for better understanding the theory of the learning cycle. The monograph identifies various…

Background information and exemplary units for teaching science in Georgia's middle school grades are provided. Discussed in the first section are: (1) the rationale for including science in middle school grades, focusing on science/society/technology, science/social issues, scientific reasoning, and scientific literacy; (2) role of science…

Insights gained from experience and research on language minority students' academic success are reviewed as background for presentation of a curriculum that is bilingual and content-based and uses cooperative learning techniques. First, findings on three elements of success (interest and motivation, intelligence and development, and psychosocial…

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)

This paper examines a range of studies done on the "Geometric Supposer" software and its use since the mid-1980s. It describes how the "Geometric Supposer" is a response to the call for reform by the mathematics community to create classroom environments that allow students to construct their own knowledge. This approach to…