Different aspects in designing mathematics education: Three examples from the Freudenthal Institute

Abstract

ABSTRACt. Three teaching designs are offered. They were developed for 12 to 16 year old pupils taking into account their personal differences in terms of gender (in "Making Up the Cube"), culture (in "Mecca"), knowledge, and use of calculators in "The integrating calculator." The designs concern the representation of three-dimensional objects in the plane, directions and great circles on the sphere, and exploration of the integrating calculator.

So we decided to call “straight line” (…): Mathematics students’ interaction and negotiation of meaning in constructing a model of elliptic geometry

“…Jan van den Brink and his group also carried out a research program in the Freudenthal Institute. This program, at the high school level, attempted to revise the mathematics curriculum, starting from the educational workbook "Mecca" (van den Brink & Meeder, 1991;van den Brink, 1993). The context of the workbook was geographical, but soon, students were involved into mathematical questions about spherical geometry and antipodes (van den Brink, 1994).…”