Modelling and application: A research domain in mathematics education

Mathematical modelling in mathematics education and instruction

This paper aims at giving a concise survey of the present state-of-the-art of mathematical modelling in mathematics education and instruction. It will consist of four parts. In part 1, some basic concepts relevant to the topic will be clarified and, in particular, mathematical modelling will be defined in a broad, comprehensive sense. Part 2 will review arguments for the inclusion of modelling ...

European Research in Mathematics Education

This paper is concerned with the role of language in advanced mathematical thinking. It is argued that some behaviors may arise from the application to mathematical language of some conventions of ordinary language. Grice’s Cooperative Principle (CP) is introduced in order to explain some episodes that are not easily accounted for in terms of semantics only. Some examples of (undue) application...

Studying the research scope of mathematics education specialists using keywords

Background and aim: Due to the importance of keywords in the field of research and scientometrics, the keywords used in scientific outputs of mathematics education specialists were investigated in this study to determine the scope of their research. Material and methods: This cross-sectional study was conducted on the Persian scientific papers published by mathematics education specialists who ...

19 Research methods in ( mathematics ) education

European Research in Mathematics Education I.II

In this theoretical paper figurative aspects of algebraic symbolism are discussed and related to the theory of image schemata, opening up for one way of understanding the development of symbol sense in mathematics. The ideas of mathematical forms (referring to spatial characteristics of mathematical formulas), and form operations, are at the core of this analysis.

European Research in Mathematics Education I.II

This paper represents the results of special courses given to undergraduate teacher students of «mathematics-computer science» speciality. A general idea that integrated these courses, consist in the training of future teachers for understanding the possibilities and limits of the use of technologies (systems like DERIVE and Cabri-geometre) for support of pedagogical control of learners’ cognit...