The projects Xmath (Bringslid and Canessa, 2002) and dMath (Bringslid, de la Villa and Rodriguez, 2007) were supported by the European Commission in the so called Minerva Action (Xmath) and The Leonardo da Vinci programme (dMath). The Xmath eBook (Bringslid, 2006) includes algorithms into a wide range of undergraduate mathematical issues embedded…

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…

This paper describes the global feedback in ActiveMath, a Web-based adaptive learning environment for mathematics and beyond. It addresses some of the cognitive foundations and the architecture of the suggestion mechanism with its components. This architecture separates components for diagnosis from components for suggestions and different types…

Online assessment in mathematics is becoming more prominent as mathematics and the internet become more compatible. This paper is based on a case study of a web-based calculus course in which a combination of paper and online assessment is used for assessing various activities. The paper first investigates what student assessment preferences are…