In the past three decades, technological environments have been created that offer novel
ways of carrying out geometrical activities in mathematics education. This chapter reviews …

In this review, we distinguish two categories of digital technologies, programmable
microworlds and expressive tools, chosen to highlight the different ways in which software …

In this chapter we focus on the concept of proof, which is important for students'
mathematical education but also hard for teachers to teach and difficult for students to learn …

One of the most remarkable gifts human civilization has inherited from ancient Greece is the
notion of mathematical proof. The basic scheme of Euclid's Elements has proved …

Digital technology 1 is omnipresent in society. Revolutionary technological developments
change the character of professional environments, and therefore put new demands on …

Nowadays, differently to ten years ago, there seems to be a general consensus on the fact
that the development of a sense of proof constitutes an important objective of mathematical …

Although students of all levels of education face serious difficulties with proof, there is limited
research knowledge about how instruction can help students overcome these difficulties. In …

Through an extensive review of the literature we indicate how technology has influenced the
contexts for learning mathematics, and the emergence of a new learning ecology that results …

This article is situated in the research domain that investigates what mathematical
knowledge is useful for, and usable in, mathematics teaching. Specifically, the article …

This chapter focuses on the use of diagrams at the point when students are beginning to be
taught geometry as a coherent field of objects and relations of a theoretical nature. It …