This article focuses on three pieces of research and explores what these studies tell about the effects of home and early education on scientific development in young children as they move into and through primary education. The first piece of research was a longitudinal study that took place between 1997 and 2004; the EPPE (Effective Provision of…

This paper contains a discussion of how the concept of critical aspects and the principle of compositionality can provide a powerful tool to analyse and understand the communications that occur in the classroom. It is grounded in data collected in a longitudinal study. The content chosen is algebra. It is argued that the critical aspects and the…

This article deals with two prominent topics in the field of mathematics education: the communication in mathematics and its teaching and learning and the continuous professional development of mathematics teachers. In this article, a framework is proposed for analysing the effectiveness of communication in mathematics classrooms. The presentation…

This article was inspired by a set of 12 cylindrical cups, which are volumetrically indexed; that is to say, the volume of cup "n" is equal to "n" times the volume of cup 1. Various sets of volumetrically indexed cylindrical cups are explored. I demonstrate how this children's toy is ripe for mathematical investigation, with connections to…

The article focuses on Chinese students' hopes and expectations before leaving to study abroad. The national political environment for their decision to go abroad is shaped by an official narrative of China's transition to a more creative and innovative economy. Students draw on this narrative to interpret their own educational histories…