The goal of this paper is to relate liberation and the teaching of thinking. By looking at the great liberators throughout history, teachers can learn about their own craft. The goal of teaching thinking ought to be to develop individuals who can think for themselves. Such people have some measure of control over the meaning they make of their…

Describes a theoretical frame for understanding cognitive development to outline the planning and performance of a unit on electrostatics. Analyzes a female student's learning process and the development of the complexity of her cognitive skills. (PR)

Virtual Reality (VR) is a computer generated, multi-dimensional, inclusive environment that can build axioms of algebra into the behavior of the world. This paper discusses the use of VR to represent part of the algebra curriculum in order to improve students' classroom experiences in learning algebra. Students learn to construct their knowledge…

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…