It is a challenge for mathematics teachers to provide activities for their students at a high level of cognitive demand. In this article, we explore the possibilities that history of mathematics has to offer to meet this challenge. History of mathematics can be applied in mathematics education in different ways. We offer a framework for describing…

We discuss the teachers' disciplinary knowledge of mathematics in this article, arguing two main points as we report on a 2-year study involving 22 practicing teachers. First we argue that teachers' knowledge of mathematics might be productively construed as a complex evolving form, a significant dimension of which is tacit knowledge. Second,…

This paper describes the experience of a group of 17 prospective mathematics teachers who were engaged in a series of activities aimed at developing their awareness of creativity in mathematics. This experience was initiated on the basis of ideas proposed by the participants regarding ways creativity of school students might be developed. Over a…

Describes how the meaning of a tool was constructed by students and their teacher, and how students used the tool to construct mathematical meaning out of particular tasks through a qualitative classroom-based study. Suggests that the nature of the mathematical tasks and the role, knowledge, and beliefs of the teacher influenced the emergence of…

This paper offers for discussion and critique a conceptual framework that applies a situative perspective on learning to the study of learning to teach mathematics. From this perspective, such learning occurs in many different situations--mathematics and teacher preparation courses, pre-service field experiences, and schools of employment. By…