Having an ability to appreciate, understand, and generate proofs is crucial in being able to evaluate students' mathematical arguments and reasoning. As such, the development of this ability in perspective teachers is imperative. This study examines the work of a group of preservice elementary school teachers in their efforts to generate one-line…

Because of the importance of beliefs, mathematics educators need to consider ways to assess beliefs and belief change. Beliefs, because they must be inferred, can be difficult to measure, particularly with a common metric that enables one to compare individuals. Some limitations of Likert scales are identified and overcome in a newly developed…

Interviewing students, though a common and popular activity in teacher education programs has been scarcely researched as a strategy to prepare prospective teachers for mathematics teaching. This study explores the role of interviews as occasions for prospective elementary school teachers to learn three essential practices in the teaching of…

This paper reports on a study of mathematics teachers' thinking in the teaching of contextual or word problems [WP] with particular focus on teachers' conceptions of WP and the relationship to teaching. The 20 participants included Grades 1-12 preservice and inservice teachers. Data consisted of interviews and classroom observations. The findings…

The transformation of a solid to its net is based on something quite different from simple perceptual impression. It is a mental operation performed by manipulating mental images. The aim of this study was to observe pre-service and in-service teachers' ability to visualize the transformation of a curved solid to its net and vice versa, and to try…

In this study, we examined 139 prospective elementary teachers' solution processes to additive word problems for which the solution is 1 more or 1 less than the answer produced by the straightforward application of the addition or subtraction of the two given numbers. For each problem, five aspects of their solution processes were examined: (a)…

This volume of the 27th International Group for the Psychology of Mathematics Education Conference includes the following research reports: (1) The Affective Views of Primary School Children (Peter Grootenboer); (2) Theoretical Model of Analysis of Rate Problems in Algebra (Jose Guzman, Nadine Bednarz and Fernando Hitt); (3) Locating Fractions on…

This volume of the 27th International Group for the Psychology of Mathematics Education Conference presents the following research reports: (1) Text Talk, Body Talk, Table Talk: A Design of Ratio and Proportion as Classroom Parallel Events (Dor Abrahamson); (2) Generalizing the Context and Generalising the Calculation (Janet Ainley); (3) Interview…