Search results for author:"Allen Leung"
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International Group for the Psychology of Mathematics Education 3 (July 2005) pp. 197–204
In this paper, the theory of variation in the tradition of phenomenographic research approach is placed in the context of Dynamic Geometry Environment (DGE). Central concepts of discernment, variation, simultaneity and space of learning in the...
International Journal of Computers for Mathematical Learning Vol. 13, No. 2 (July 2008) pp. 135–157
What makes Dynamic Geometry Environment (DGE) a powerful mathematical knowledge acquisition microworld is its ability to visually make explicit the implicit dynamism of thinking about mathematical geometrical concepts. One of DGE's powers is to...
International Journal of Mathematical Education in Science and Technology Vol. 46, No. 2 (2015) pp. 187–204
This paper reports findings of an explorative study that examine the effectiveness of a GeoGebra-based dynamic applet in supporting students' construction of the formal definition of the limit of a sequence or convergence. More specifically, it ...
International Group for the Psychology of Mathematics Education 2004 (July 2004)
This paper reports the case of a form six (grade 12) Hong Kong student's exploration of graph sketching in a computational environment. In particular, the student summarized his discovery in the form of two empirical laws. The student was...
International Journal for Technology in Mathematics Education Vol. 13, No. 1 (2006) pp. 37–44
This paper describes a possible dragging experiment in a dynamic geometry environment (DGE) that explores a necessary and sufficient condition for cyclic quadrilateral. The dragging modalities identified by Arzarello, Olivero, Paola, and Robutti ...
International Journal of Mathematical Education in Science and Technology Vol. 34, No. 6 (November 2003) pp. 859–870
In this paper, the properties of tangential and cyclic polygons proposed by Lopez-Real are proved rigorously using the theory of circulant matrices. In particular, the concepts of slippable tangential polygons and conformable cyclic polygons are...
Educational Studies in Mathematics Vol. 82, No. 3 (March 2013) pp. 361–377
This paper describes a task-based dynamic geometry platform that is able to record student responses in a collective fashion to pre-designed dragging tasks. The platform provides a new type of data and opens up a quantitative dimension to interpret...
PNA Vol. 7, No. 2 (2013) pp. 63–73
This paper addresses contributions that dynamic geometry systems (DGSs) may give in reasoning by contradiction in geometry. We present analyses of three excerpts of students' work and use the notion of pseudo object, elaborated from previous...
Nathalie Sinclair; Maria G. Bartolini Bussi; Michael de Villiers; Keith Jones; Ulrich Kortenkamp; Allen Leung; Kay Owens
ZDM: The International Journal on Mathematics Education Vol. 48, No. 5 (2016) pp. 691–719
This survey on the theme of Geometry Education (including new technologies) focuses chiefly on the time span since 2008. Based on our review of the research literature published during this time span (in refereed journal articles, conference...