In this short paper, our focus is on how secondary school students work with diagrams during proving activity in geometry. Using data from a project investigating the design of dynamic geometry software (DGS) tasks that facilitate students’ proving activity, we found that the students’ discussion settled on various versions of the diagram. Out of six types of diagram that the students found, they concluded that their conjecture was not true for two of the cases. This underlines that the processes involved in using diagrams in mathematics are surprisingly complex, especially the extent to which students are aware of the general result or a specific diagram
Although the use of diagrams is advocated in mathematics, support for this instructional practice ap...
This paper reports on a learning progression based on flow-chart proving and aimed at providing a ba...
As international research confirms, many secondary school students can find it difficult to construc...
Field of study: Learning, teaching and curriculum.Dr. Samuel Otten, Dissertation Supervisor.Includes...
This study addressed the use of dynamic geometry environments in students’ mathematical activity rel...
Abstract: In elementary geometry problem-solving, in most cases two different points of view on diag...
The ability to select an appropriate diagram to represent the structure of problem information is a ...
Providing a mathematics curriculum that makes proof accessible to school students appears to be diff...
It has become gradually accepted that proof and proving are essential at all grades of mathematical ...
This paper explores the role of diagrams in a specific problem solving process. Two types of tests w...
The widespread use of Dynamic Geometry Software (DGS) is raising many interesting questions and disc...
We present results from a study which investigated the influence of dynamic geometry-based activitie...
Proving in secondary mathematics often appears as a solving process of proof problems. This paper pr...
This short paper outlines a guiding principle that can be used to inform the use of geometrical cons...
We describe the development of measures of teachers' recognition of an instructional norm—that proof...
Although the use of diagrams is advocated in mathematics, support for this instructional practice ap...
This paper reports on a learning progression based on flow-chart proving and aimed at providing a ba...
As international research confirms, many secondary school students can find it difficult to construc...
Field of study: Learning, teaching and curriculum.Dr. Samuel Otten, Dissertation Supervisor.Includes...
This study addressed the use of dynamic geometry environments in students’ mathematical activity rel...
Abstract: In elementary geometry problem-solving, in most cases two different points of view on diag...
The ability to select an appropriate diagram to represent the structure of problem information is a ...
Providing a mathematics curriculum that makes proof accessible to school students appears to be diff...
It has become gradually accepted that proof and proving are essential at all grades of mathematical ...
This paper explores the role of diagrams in a specific problem solving process. Two types of tests w...
The widespread use of Dynamic Geometry Software (DGS) is raising many interesting questions and disc...
We present results from a study which investigated the influence of dynamic geometry-based activitie...
Proving in secondary mathematics often appears as a solving process of proof problems. This paper pr...
This short paper outlines a guiding principle that can be used to inform the use of geometrical cons...
We describe the development of measures of teachers' recognition of an instructional norm—that proof...
Although the use of diagrams is advocated in mathematics, support for this instructional practice ap...
This paper reports on a learning progression based on flow-chart proving and aimed at providing a ba...
As international research confirms, many secondary school students can find it difficult to construc...