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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
7491990
Rethinking proof: with the Geometer's sketchpad
MD De Villiers
(No Title), 1999
4581999
The role and function of a hierarchical classification of quadrilaterals
M De Villiers
For the learning of mathematics 14 (1), 11-18, 1994
3861994
To teach definitions in geometry or teach to define?
M De Villiers
PME conference 2 (8), 1998
3151998
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
2402016
An alternative approach to proof in dynamic geometry
M De Villiers
Designing learning environments for developing understanding of geometry and …, 2012
1982012
Proof and proving in mathematics education: The 19th ICMI study
G Hanna, M De Villiers
Springer Nature, 2012
1952012
Using dynamic geometry to expand mathematics teachers’ understanding of proof
M De Villiers
International Journal of Mathematical Education in Science and Technology 35 …, 2004
1902004
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
1831993
ICMI Study 19: Proof and proving in mathematics education
G Hanna, M de Villiers, International Program Committee
ZDM 40, 329-336, 2008
1682008
The future of secondary school geometry
M De Villiers
Slightly adapted version of Plenary presented at the SOSI Geometry Imperfect …, 1996
1191996
The role and function of proof with Sketchpad
M De Villiers
Rethinking proof with Sketchpad, 3-10, 1999
951999
The role of proof in investigative, computer-based geometry: Some personal reflections
M De Villiers
MAA NOTES, 15-24, 1997
831997
Pupils' needs for conviction and explanation within the context of geometry
MD De Villiers
PME XV proceeding, 1991, 1991
801991
Algumas reflexões sobre a Teoria de Van Hiele.
M De Villiers
Educação Matemática Pesquisa Revista do Programa de Estudos Pós-Graduados em …, 2010
792010
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
722010
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
661987
An illustration of the explanatory and discovery functions of proof
M De Villiers
Pythagoras 33 (3), 1-8, 2012
622012
Aspects of proof in mathematics education
G Hanna, M de Villiers
Proof and proving in mathematics education: The 19th ICMI study, 1-10, 2012
542012
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