Mathematical modelling emphasizes the connection between mathematics and reality -- still, tasks are often exclusively introduced inside the classroom. The paper examines the potential of different task settings for mathematical modelling with real objects: outdoors at the real object itself, with photographs and with a 3D model representation. It…

This article is written from our perspective as both researchers and mathematics teacher educators, and describes how our knowledge has grown as we engage concurrently in both teaching and research. Reflection-on-action is a means for us of approaching the relationship between theory and practice that comes out of the development of our work as…

Reports a study to investigate the extent to which research experience of designing and conducting their own study could enhance five preservice teachers' understanding of children's knowledge of the mathematical concept of fractions. Results indicated that research experience is fruitful in developing an inquisitive disposition in preservice…

Outlines a guided discovery activity for ascertaining the conditions which allow for the correct tracing of networks. (JP)

A formula comparable to Pick's formula for area of a polygonal region on a geoboard is presented for the situation in which the standard unit is an equilateral triangle instead of a square. (JP)

Reports some examples of teaching experiments based on body-related metaphors. Some of them are carried out by means of technological devices. Calls for legitimacy in school mathematics, both for an embodied cognition perspective and a related use of technology. (Author/MM)

Four geoboard activities for elementary school students are described. (SD)

The author describes a new graphing algorithm for computing probabilities, and presents problems for these algorithms for use in the classroom. (SD)

Documents, compares, and analyzes the nature of spatial reasoning by practitioners (plumbers) in the workplace and students in the school setting while constructing solids, with given specifications, from plane surfaces. Results confirm the power of activity theory and its methodology in explaining and identifying the structural differences…

The author presents an approach to the teaching of undergraduate introductory probability and statistics. He also presents experimental evidence that suggests the approach helps students rely upon probability theory in making estimates for the likelihood of events rather than rely upon heuristic principles which may bias probability estimates. (MN)

Explores the challenge of providing all future citizens with an appropriate quantitative literacy by means of teaching mathematics through useful applications with local and global perspectives. (Author/KHR)