Add to ORKGThe activities with the Mathematical Machines are very rich from educational and cognitive points of view. In particular, the use of pantographs has revealed educational potentialities for the acquisition of some important mathematical concepts and for the emergence of argumentation and proving processes, at any school level. In this paper, we propose a cognitive analysis of the processes involved in the manipulation of the mathematical machines, providing a first classification of utilization schemes of pantographs for geometrical transformations. This classification can be efficiently used to observe, describe and analyse cognitive processes involved in the exploration of mathematical properties incorporated in the machine
Over time, teaching materials, such as manipulatives, have acquired a key role in promoting students...
The paper deals with geometrical imagination as ability to interpret geometrical content, evoke imag...
Dynamic manipulation of geometrical constructions enabled by a specially designed computational tool...
The activities with the Mathematical Machines are very rich from educational and cognitive points of...
In this article we present some results of a cognitive study on Mathematical Machines taken from the...
In this article we present some results of a cognitive study on Mathematical Machines taken from the...
The activities with the Mathematical Machines can promote interesting and important processes of ge...
A case study is presented on what is learned by a very advanced Math student in a ninth grade class ...
International audienceand ekoleza@upatras.gr The study presented in this report is part of a researc...
The role of mathematical visualization in problem solving process and the incidence of material tool...
This paper reports the multimodal resources that attached to students’ reasoning in the reinvention ...
Abstract: This paper reports the results of a quantitative analysis of students ’ performance in ten...
context: Technology has not only changed the way we teach mathematical concepts but also the nature ...
This contribution focuses on the use of some instruments, called “mathematical machines”, in teachin...
In this article, based on Dissection-Motion-Operations, DMO (decomposing a figure into several piece...
Over time, teaching materials, such as manipulatives, have acquired a key role in promoting students...
The paper deals with geometrical imagination as ability to interpret geometrical content, evoke imag...
Dynamic manipulation of geometrical constructions enabled by a specially designed computational tool...
The activities with the Mathematical Machines are very rich from educational and cognitive points of...
In this article we present some results of a cognitive study on Mathematical Machines taken from the...
In this article we present some results of a cognitive study on Mathematical Machines taken from the...
The activities with the Mathematical Machines can promote interesting and important processes of ge...
A case study is presented on what is learned by a very advanced Math student in a ninth grade class ...
International audienceand ekoleza@upatras.gr The study presented in this report is part of a researc...
The role of mathematical visualization in problem solving process and the incidence of material tool...
This paper reports the multimodal resources that attached to students’ reasoning in the reinvention ...
Abstract: This paper reports the results of a quantitative analysis of students ’ performance in ten...
context: Technology has not only changed the way we teach mathematical concepts but also the nature ...
This contribution focuses on the use of some instruments, called “mathematical machines”, in teachin...
In this article, based on Dissection-Motion-Operations, DMO (decomposing a figure into several piece...
Over time, teaching materials, such as manipulatives, have acquired a key role in promoting students...
The paper deals with geometrical imagination as ability to interpret geometrical content, evoke imag...
Dynamic manipulation of geometrical constructions enabled by a specially designed computational tool...