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Michael de Villiers
Michael de Villiers
University of Stellenbosch, Prof Extraordinaire (retired)
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Title
Cited by
Cited by
Year
The role and function of proof on mathematics
D Villiers
Pythagoras 24, 17-24, 1990
7681990
Rethinking proof: with the Geometer's sketchpad
MD De Villiers
(No Title), 1999
4571999
The role and function of a hierarchical classification of quadrilaterals
M De Villiers
For the learning of mathematics 14 (1), 11-18, 1994
3941994
To teach definitions in geometry or teach to define?
M De Villiers
PME conference 2 (8), 1998
3211998
Recent research on geometry education: An ICME-13 survey team report
N Sinclair, MG Bartolini Bussi, M de Villiers, K Jones, U Kortenkamp, ...
ZDM 48, 691-719, 2016
2532016
Proof and proving in mathematics education: The 19th ICMI study
G Hanna, M De Villiers
Springer Nature, 2012
2062012
An alternative approach to proof in dynamic geometry
M De Villiers
Designing learning environments for developing understanding of geometry and …, 2012
2002012
Using dynamic geometry to expand mathematics teachers’ understanding of proof
M De Villiers
International Journal of Mathematical Education in Science and Technology 35 …, 2004
1912004
ICMI Study 19: Proof and proving in mathematics education
G Hanna, M de Villiers, International Program Committee
ZDM 40, 329-336, 2008
1732008
El papel y la función de la demostración en matemáticas
M De Villiers
Epsilon: Revista de la Sociedad Andaluza de Educación Matemática" Thales", 15-30, 1993
1711993
The future of secondary school geometry
M De Villiers
Slightly adapted version of Plenary presented at the SOSI Geometry Imperfect …, 1996
1201996
The role and function of proof with Sketchpad
M De Villiers
Rethinking proof with Sketchpad, 3-10, 1999
991999
The role of proof in investigative, computer-based geometry: Some personal reflections
M De Villiers
MAA NOTES, 15-24, 1997
821997
Algumas reflexões sobre a Teoria de Van Hiele.
M De Villiers
Educação Matemática Pesquisa Revista do Programa de Estudos Pós-Graduados em …, 2010
782010
Pupils' needs for conviction and explanation within the context of geometry
MD De Villiers
PME XV proceeding, 1991, 1991
781991
The role and function of quasi‐empirical methods in mathematics
M de Villiers
Canadian Journal of Math, Science & Technology Education 4 (3), 397-418, 2004
772004
Some reflections on the van Hiele theory
M De Villiers
Invited plenary from 4th Congress of teachers of mathematics, 2010
712010
Research evidence on hierarchical thinking, teaching strategies and the Van Hiele theory: Some critical comments
MD De Villiers
Research Unit for Mathematics Education, University of Stellenbosch, 1987
671987
An illustration of the explanatory and discovery functions of proof
M De Villiers
Pythagoras 33 (3), 1-8, 2012
662012
Aspects of proof in mathematics education
G Hanna, M de Villiers
Proof and proving in mathematics education: The 19th ICMI Study, 1-10, 2012
562012
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