Traditional rote learning methods often fail to adequately develop reasoning skills in mathematics, particularly among pre-university students. This study addresses challenges in fostering mathematical reasoning abilities, as evidenced by declining TIMSS results and resistance to pedagogical innovations. My online teaching with GeoGebra (MyOT_G+)…

This paper looks at the role of visualisation in the proving process. It considers the different functions of proof and then describes student responses when engaged in the process of discovering Viviani's Theorem. The findings show that learners can attain high levels of conviction when working in a dynamic geometry environment. In particular,…

In this study, I examine the role of dynamic geometry software (DGS) in curricular proof tasks. I investigated seven US high school geometry textbooks that were categorised into three groups: technology-intensive, standards-based, and traditional curricula. I looked at the frequency and purpose of DGS use in these textbooks. In addition, I…

The purpose of this paper is to provide examples of "non-traditional conjectures" in a dynamic geometry environment that can be used to stimulate students to provide proofs. The author believes that teachers can ask their students to find out if these conjectures are true; if the conjectures are true, then the students can come up with their own…

This study documents problem solving approaches that high school students develop as a result of using systematically Cabri-Geometry software. Results show that the use of the software becomes an important tool for students to construct dynamic representations of the problems that were used to identify and examine different mathematical relations.…

Problem solving and exploratory activities using technology as a tool continue to receive attention in recommendations for school mathematics. This article presents an experience in pre-college level type of teaching aiming at familiarizing students with the process of mathematical research. Students discovered a result based on a computer…

Can textbook exercises be transformed into problem solving activities that encourage students to develop mathematical thinking? This study documents what high school students showed when they were explicitly asked to use technological tools to examine and solve a routine problem from different angles or perspectives. In this process, students…

The subject of q-calculus is a rich source of learning activities that address concept formation, exploration, variation, rich training and proof. This paper is a survey of the subject that shows how high school students using a computer algebra system can explore the field and prove some results. (Contains 7 figures.)

This paper analyses a case study of a pair of students working together, who were asked to produce conjectures and to validate them within the dynamic geometry environment Cabri. Our aim is to scrutinize the students' reasoning, how the gap from perception to theory is filled, how Cabri influences the reasoning. We have singled out a sequence of…