'Some Reflections on the Van Hiele theory' video clip and paper by Michael de Villiers

These six video clips are of an invited paper presented at the Program Post-Graduate Studies in Mathematics Education at the Pontifical Catholic University of Sao Paulo, Brazil in April 2010, as well as being repeated as an invited plenary at the Croatian Mathematical Conference in Zagreb, Croatia in June 2010.

Please note that though all the writing on the screen is not clearly visible at the start, the camera zooms in better as the video progresses. Hope mathematics teachers, student teachers, educators and researchers find the video useful.

"Obrigado!" (thanks) to Celina Abar, Mathematics Education, Pontifical Catholic University of Sao Paulo, for arranging the filming and production of this video!

Part 1: click on Van Hiele Video 1

Part 2: click on Van Hiele Video 2

Part 3: click on Van Hiele Video 3

Part 4: click on Van Hiele Video 4

Part 5: click on Van Hiele Video 5

Part 6: click on Van Hiele Video 6

The presented paper (584 kb) in PDF can be downloaded from 'Some Reflections on the Van Hiele theory' paper

The paper is also available in Portuguese at 'Algumas reflexoes sobre a Teoria de Van Hiele' paper

The paper is also available in Croatian (1.8 MB) at 'Neka razmisljanja o van Hieleovoj teorij' paper Reference as: De Villiers, M. (2010). Neka razmisljanja o van Hieleovoj teorij. Mladinic, P. & Svedrec, R. (Eds). Zbornik Radova: Kongres Matematika, Zagreb, 30 June - 2 July 2010, Hrvatsko Matematicko Drustvo, pp. 559-588.

If you prefer to download & watch/play the video offline, you can download it in zipped format (102 MB) from Zipped Van Hiele Video and play by opening the html files in the 6 folders after unzipping.