Based on a study about using original sources with Danish upper secondary students, the paper addresses the potential outcome of such an approach in regard to the so-called recruitment problem to the mathematical sciences. 24 students were exposed to questionnaire questions and 16 of these to follow-up interviews, which form the basis for both a…

Starting from an interest in the teachers' use of diagrams and gestures during a traditional front lesson at tertiary level, this research takes a narratologic perspective to see a mathematical lesson as a story, and hence the students' notes as re-tellings of a mathematical story. The first minutes of a traditional mathematics lecture…

In the context of a teaching experiment in elementary group theory, interesting difficulties arose as undergraduate students struggled to make sense of the meaning of the associative property as they reinvented the group concept. A subsequent exploration of the research literature revealed similar difficulties have been observed in research with…

Examples play a central role in mathematics learning and teaching. Although they involve specific situations, their purpose is to exemplify more general mathematical principles. A critical task of teaching, therefore, is to choose appropriate examples and implement them in pedagogically productive ways. This study considers the examples used by…

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…

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…

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…

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…

Describes episodes from work with a small group of 8th grade students who were working independently on a geometry course. Uses Geometer's Sketchpad for the tasks. Discusses students' reasoning skills and their interpretation of the painting in terms of the mathematical properties and relationships. (KHR)

Investigates what the role of arguments from physics within mathematical proof is, and how this role should be reflected in the classroom. Presents examples showing the fruitfulness of center of gravity arguments in terms of geometrical configuration and the laws of the lever. Discusses educational advantages of the use of arguments from physics…

Reports on a case study of a student who constructs formalism not from processes of quantification, but from his own visuospatial imagery. Rather than construct new objects from cognitive processes, the student reflects on mental objects already in mind and refines them to build an interpretation of the formal theory. This example leads to…

Reviews issues related to the field of ethnomathematics. Discusses ethnomathematics from the south of Brazil with the signs of inequality and injustice that prevail there. Analyzes methodological aspects of research on the "ethnomathematics approach". (Author/MM)

Discusses a class on subtraction or difference-finding, problems such as "There are eight white flowers and five red flowers, how many more white flowers are there than red flowers?" used in the teaching of Japanese first grade children. Describes three instances of introductory teaching of "difference-finding" problems in the first grade.…

Proposes that recent shifts in the representation of knowledge to a focus on practices and activities have profound implications for students' learning of mathematics. Discusses relationships between knowledge, practice, and identity in the mathematics classroom. (Author/MM)

Considers what value there could be in talking of institutional trauma and connecting it to elements of the theory of trauma in a psychoanalytic setting. Seeks out the origin of these traumas in the successive crises that the mathematical knowledge of secondary teachers has had to confront over the course of history. (Contains 12 references.) (ASK)