The ICMI study conference on “Perspectives on the Teaching of Geometry for the 21st Century” took place recently in Italy. This paper reports on the discussion of one of the conference working groups which considered geometrical reasoning. Four main themes are covered: visual reasoning, geometrical reasoning in context, the meaning of proving in learning geometry, and assessing the range of reasoning ability in geometry. There was general agreement at the conference that more research is necessary in order to effectively address the wide range of issues that were discussed
Intuition is often regarded as essential in the learning of geometry, but how such skills might be e...
Mathematics education has been the subject of considerable international comparative research, mostl...
Developing a good model of the school geometry curriculum continues to be one of the most important ...
This paper summarises a report (Brown, Jones & Taylor, 2003) to the UK Qualifications and Curric...
This report focuses on some aspects of the nature and role of visualisation and imagery in the teach...
With the growth in interest in geometrical ideas it is important to be clear about the nature of geo...
International audienceTWG04 on geometrical thinking had more than 22 participants from 10 countries....
Derek Hurrell shares a number of geometry tasks designed to tease out students\u27 reasoning. Concre...
This survey on the theme of Geometry Education (including new technologies) focuses chiefly on the t...
The chapter provides a comprehensive review of recent research in geometry education, covering geome...
We aim to characterize how prospective teachers perform in defining and classifying quadrilaterals t...
International comparative research in mathematics education has found, perhaps unsurprisingly, that ...
The study aimed at characterising the shift from configural reasoning to proof construction in geome...
This short paper outlines a guiding principle that can be used to inform the use of geometrical cons...
We present here a study designed to analyse the cognitive processes relating to visualisation and re...
Intuition is often regarded as essential in the learning of geometry, but how such skills might be e...
Mathematics education has been the subject of considerable international comparative research, mostl...
Developing a good model of the school geometry curriculum continues to be one of the most important ...
This paper summarises a report (Brown, Jones & Taylor, 2003) to the UK Qualifications and Curric...
This report focuses on some aspects of the nature and role of visualisation and imagery in the teach...
With the growth in interest in geometrical ideas it is important to be clear about the nature of geo...
International audienceTWG04 on geometrical thinking had more than 22 participants from 10 countries....
Derek Hurrell shares a number of geometry tasks designed to tease out students\u27 reasoning. Concre...
This survey on the theme of Geometry Education (including new technologies) focuses chiefly on the t...
The chapter provides a comprehensive review of recent research in geometry education, covering geome...
We aim to characterize how prospective teachers perform in defining and classifying quadrilaterals t...
International comparative research in mathematics education has found, perhaps unsurprisingly, that ...
The study aimed at characterising the shift from configural reasoning to proof construction in geome...
This short paper outlines a guiding principle that can be used to inform the use of geometrical cons...
We present here a study designed to analyse the cognitive processes relating to visualisation and re...
Intuition is often regarded as essential in the learning of geometry, but how such skills might be e...
Mathematics education has been the subject of considerable international comparative research, mostl...
Developing a good model of the school geometry curriculum continues to be one of the most important ...