The book Critical Mathematics Education provides Ole Skovsmose’s recent contribution to the further development of critical mathematics education.

In this paper I tackle the question What is mathematics in education? By providing three different frames for word mathematics. Frame 1: Mathematics as an abstract body of knowledge/ideas, organization that into systems and structures, a set methods reaching conclusions. 2: contextual, ever present, lens or language to make sense world. 3: verb (not noun), human activity, part one’s identity. A...

202 NOTICES OF THE AMS VOLUME 49, NUMBER 2 The National Research Council reported that during the 1990s, there were between 80 and 115 new doctoral graduates per year in mathematics education [6]. During the same decade, job openings for people with doctorates in mathematics education increased significantly and currently exceed the supply [5]. In a survey of institutions of higher education co...

This article is primarily addressed to cognitive scientists and neuroscientists interested in education. For quite some time mathematics education has seemed an area in which cognitive neuroscience might make important contributions. This has not happened: studies have been large in number but small in impact, and education has been influenced more by misunderstandings and over-simplifications ...

Many successful recent approaches to developing innovative mathematics curricula and to conducting research on learning and teaching mathematics have used the construct of “learning trajectories” as a foundation. However, the developers and authors have interpreted and applied this idea in different ways, leading to a need for discussions of these variations and a search for clarifications and ...