This research study aims at exploring the use of some dimensions and theoretical-methodological tools suggested by the model of Didactic-Mathematical Knowledge (DMK) for the analysis, characterization and development of knowledge that teachers should have in order to efficiently develop within their practice. For this purpose, we analyzed the…

Over the past 30 years, researchers at the Freudenthal Institute in The Netherlands have developed a mathematics curriculum and a theory of pedagogy known as Realistic Maths Education (RME). This curriculum uses "imaginable" contexts to help pupils to develop mathematically, with a strong emphasis on pupils "making sense" of…

Computational estimation is viewed as perhaps the most neglected skill area in the mathematics curriculum. Results of interviews led to the formulation of a model of the common characteristics of good estimators. The hope is expressed that the key processes and strategies identified in the investigation will be studied carefully. (MP)

There has long been dispute in mathematics between the drill and practice orientation that focuses primarily on memorizing mathematics as meaningless rote algorithms and the approach based on understanding and making creative use of mathematics. This 25-chapter book, based on a 7-year study at the University of Illinois, seeks to explain and…

Procedural documentation is presented for administering, scoring and analyzing data gathered to examine the construct validity of a set of superitems developed to assess student levels of mathematical reasoning ability. Each superitem includes a mathematical situation and a structured set of questions about that situation. The questions were based…

In this article, data from a study of the mental computation competence of students in grades 3 to 10 are presented. Students responded to mental computation items, presented orally, that included operations applied to fractions, decimals and percents. The data were analysed using Rasch modelling techniques, and a six-level hierarchy of part-whole…

This is a record of the proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of the conference is "Mathematics: Essential research, essential practice." The theme draws attention to the importance of developing and maintaining links between research and practice and…