Dutch universities complain that freshmen in studies such as chemistry, physics, economics and mathematics do not master the required algebraic skills. In the worldwide discussions on mathematics education, mastery of algebra is also a prevalent issue. Often a distinction is made between basis procedures and algebraic reasoning, so-called symbol…

The culture of the young may, in fact, be a harbinger enticing us to follow a pathway from which will emerge the re-conceptualized educational practices of this new century. The culture of those older will, no doubt, strive to maintain the more golden aspects of their now historical learning experiences. One of the tasks of all educators, but…

In this paper we focus on interactive visualizations that support mathematical investigation. In the context of analyzing and redesigning an interactive visualization from the National Council of Teachers of Mathematics's (NCTM's) Illuminations Web site, we consider two interrelated issues: (1) how the pedagogy of mathematical investigation may be…