The curricular structure of Taking Action is described and analyzed as a form of culturally responsive and culturally specific pedagogy. In this design structure, students reconsider what they have done and identify key aspects of their experience. Based on this reflection, they design a way to interact with people outside of their class in order…

Describes disposition designed to provide students with some of the substance of proof as an element of the practical rationality invested in engaging students in proving. Discusses how video episodes enhance chances of eliciting the practical rationality of mathematics teaching and how these records and artifacts function in the context of a…

Explains why mathematics lectures have a special role in stimulating the imagination and why attending lectures has a significant role in inducting students into their university's mathematical community. (KHR)

Investigates the heart of the experience of mathematical engagement and the meaning derived from such activities. Analyzes dialogue between five people, two of whom are professional mathematicians, another two who are graduate students in either engineering or education, and one who lacks advanced mathematical training but maintains a positive…

Presents a dialogue between two mathematics teachers of different nationalities formulated around three points: (1) student role; (2) teacher role; and (3) how dialogue may be understood as a medium for teaching. Offers some conclusions on which this form of teaching may be based. (KHR)

Discusses public indifference and student ignorance toward mathematics in the U.S. Presents a basic core of mathematics knowledge that everyone should know. (KHR)

Discusses the meaning of the phrase "mathematics is everywhere." Introduces the book "Reconstructing School Mathematics: Problems with Problems and the Real World", written by Stephen Brown, which emphasizes mathematical modeling and the connection between mathematics and students' lives. (KHR)

Inspired by the studies of pioneer Raymond, aims to redraw and make obvious the different hypotheses explaining missed devolvement. Supports research on the notions of concept and object in mathematics. (KHR)

Investigates young people's expression of mathematical ideas with a computer, the nature of mathematical practices, and the problem of mathematical meaning from cognitive and socio-cultural perspectives. Describes a mathematical activity system designed for learning and the role of digital technologies in helping to understand and reshape the…

Describes theoretical points concerning the idea of semiotic means of objectification. Analyzes classroom activity by observing the interface between the spoken and the seen. Discusses the role of a category of linguistic terms related to actions of showing or pointing out something that constitute a key element in the mathematical discursive…

Discusses the life of David Hawkins, one of the most influential educators involved in school reform in the 1960s. Focuses on the aesthetic as the center of Hawkins' vision of schooling. Compares Hawkins' perspective to Dewey's in terms of the aesthetic. (KHR)

Explores differences between mathematical definitions and non-mathematical definitions by contrasting three approaches to mathematical reasoning. Examines the consequences of the use of those approaches in a first course in real analysis. Analyzes students' reasoning behavior during analysis and suggests reasons for students' difficulties with the…

Presents a case study as a framework within which to discuss the concepts of function and their representations. (KHR)

Focuses on the legacy of paradigmatics instruction in the Greek mathematics classroom, suggesting that it is based on false understanding of pragmatic logic as simply the translation of ideas into action. Offers discursive analysis of two short interactional sequences between the teacher and children in a 6th grade classroom in a primary school in…

Focuses on elementary school teachers' perceptions of creativity and logic and their places within mathematics education. Explores themes arising from the ways in which creativity and logic were talked about, addressing the extent to which the teachers believed that mathematics was creative or logical and whether these two characteristics were…