Michael de Villiers: search on Z-Library

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1

Recent research on geometry education: an ICME-13 survey team report

Sinclair, Nathalie, Bartolini Bussi, Maria G., de Villiers, Michael, Jones, Keith, Kortenkamp, Ulrich, Leung, Allen, Owens, Kay

Journal:

Year:

2016

Language:

english

File:

PDF, 1014 KB

english, 2016

2

Geometry of Designby Kimberly Elam

Review by: Michael De Villiers

Journal:

The Mathematical Gazette

Year:

2005

Language:

english

File:

PDF, 343 KB

english, 2005

3

Dual Generalisations of Van Aubel's Theorem

de Villiers, Michael

Journal:

The Mathematical Gazette

Year:

1998

Language:

english

File:

PDF, 449 KB

english, 1998

4

Preparing future-ready graduates through experiential entrepreneurship

de Villiers Scheepers, Margarietha Johanna, Barnes, Renee, Clements, Michael, Stubbs, Alix Jayne

Journal:

Education + Training

Year:

2018

Language:

english

File:

PDF, 320 KB

english, 2018

5

Using dynamic geometry to expand mathematics teachers’ understanding of proof

De Villiers, Michael

Journal:

International Journal of Mathematical Education

Year:

2004

Language:

english

File:

PDF, 206 KB

english, 2004

6

An instrumental approach to modelling the derivative in Sketchpad

Ndlovu, Mdutshekelwa, Wessels, Dirk, De Villiers, Michael

Journal:

Year:

2011

Language:

english

File:

PDF, 3.59 MB

english, 2011

7

98.16 A variation of Miquel's theorem and its generalisation

Villiers, Michael De

Journal:

The Mathematical Gazette

Year:

2014

Language:

english

File:

PDF, 240 KB

english, 2014

8

3D Generalisations of Viviani's theorem

Villiers, Michael De

Journal:

The Mathematical Gazette

Year:

2013

Language:

english

File:

PDF, 293 KB

english, 2013

9

ICMI Study 19: Proof and proving in mathematics education

Gila Hanna, Michael de Villiers, On behalf of the International Program Committee

Journal:

Year:

2008

Language:

english

File:

PDF, 132 KB

english, 2008

10

From Nested Miquel Triangles to Miquel Distances

Michael De Villiers

Journal:

The Mathematical Gazette

Year:

2002

Language:

english

File:

PDF, 253 KB

english, 2002

11

95.14 Equiangular cyclic and equilateral circumscribed polygons

De Villiers, Michael

Journal:

The Mathematical Gazette

Year:

2011

Language:

english

File:

PDF, 288 KB

english, 2011

12

86.04 A Dual to a BMO Problem

Michael de Villiers

Journal:

The Mathematical Gazette

Year:

2002

Language:

english

File:

PDF, 136 KB

english, 2002

13

An Example of the Discovery Function of Proof

Michael de Villiers

Journal:

Mathematics in School

Year:

2007

Language:

english

File:

PDF, 1022 KB

english, 2007

14

Fibonacci numbersby Nicolai N. Vorobiev

Review by: MICHAEL DE VILLIERS

Journal:

The Mathematical Gazette

Year:

2008

Language:

english

File:

PDF, 400 KB

english, 2008

15

102.30 A surprising 3-D result involving a hexagon

de Villiers, Michael, Schumann, Heinz

Journal:

The Mathematical Gazette

Year:

2018

Language:

english

File:

PDF, 214 KB

english, 2018

16

The ‘stop after k girls or N children’ policy

Paseau, A.C., Villiers, Michael de, Fox, Michael

Journal:

The Mathematical Gazette

Year:

2014

Language:

english

File:

PDF, 1.33 MB

english, 2014

17

[Mathematics Education in the Digital Era] Proof Technology in Mathematics Research and Teaching Volume 14 ||

Hanna, Gila, Reid, David A., de Villiers, Michael

Year:

2019

Language:

english

File:

PDF, 10.33 MB

english, 2019

18

Proof as a means of discovery

de Villiers, Michael

Journal:

International Journal of Mathematical Education

Year:

2019

Language:

english

File:

PDF, 1.13 MB

english, 2019

19

Generalising a problem of Sylvester

Villiers, Michael De

Journal:

The Mathematical Gazette

Year:

2012

Language:

english

File:

PDF, 163 KB

english, 2012

20

Correction & Further Generalisation: Note 91.65 A question of balance: an application of centroids (November 2007)

De Villiers, Michael

Journal:

The Mathematical Gazette

Year:

2008

File:

PDF, 145 KB

2008

21

Essays on the history of mechanics, (in memory of Clifford Truesdell and Edoardo Benvenuto), Antonio Becchi, Massimo Corradi, Federico Foce & Orietta Pedemonte, (edrs). Pp. 256. EUR 42.00 (hbk). 2003. ISBN 3 7643 1476 1 (Birkhäuser Verlag).

Villiers, Michael De

Journal:

The Mathematical Gazette

Year:

2008

File:

PDF, 156 KB

2008

22

91.65 a Question of Balance: An Application of Centroids

Michael de Villiers

Journal:

The Mathematical Gazette

Year:

2007

Language:

english

File:

PDF, 355 KB

english, 2007

23

Correction & Further Generalisation: Note 91.65 A question of balance: an application of centroids (November 2007)

De Villiers, Michael

Journal:

The Mathematical Gazette

Year:

2008

Language:

english

File:

PDF, 145 KB

english, 2008

24

The Role and Function of a Hierarchical Classification of Quadrilaterals

Michael De Villiers

Journal:

For the Learning of Mathematics

Year:

1994

Language:

english

File:

PDF, 1.54 MB

english, 1994

25

Incentives and monitoring: impact on the financial and non-financial orientation of capital budgeting

Turner, Michael James, Coote, Leonard Vincent, de Villiers, Charl, de Villiers, Charl

Journal:

Meditari Accountancy Research

Year:

2018

Language:

english

File:

PDF, 546 KB

english, 2018

26

An illustration of the explanatory and discovery functions of proof

De Villiers, Michael

Journal:

Year:

2012

File:

PDF, 620 KB

2012

27

An explanatory, transformation geometry proof of a classic treasure-hunt problem and its generalization

de Villiers, Michael

Journal:

International Journal of Mathematical Education

Year:

2016

Language:

english

File:

PDF, 791 KB

english, 2016

28

Fibonacci numbers, by Nicolai N. Vorobiev. Pp. 176. EUR 28.97. 2002. ISBN 3 7643 6135 2. (Birkhäuser Verlag).

Villiers, Michael De

Journal:

The Mathematical Gazette

Year:

2008

Language:

english

File:

PDF, 225 KB

english, 2008

29

Correspondence

NICK LORD and MICHAEL DE VILLIERS

Journal:

The Mathematical Gazette

Year:

2008

Language:

english

File:

PDF, 343 KB

english, 2008

30

83.06 A Further Generalisation of the Fermat-Torricelli Point

Michael de Villiers

Journal:

The Mathematical Gazette

Year:

1999

Language:

english

File:

PDF, 292 KB

english, 1999

31

84.28 More on Dual Van Aubel Generalisations

Michael de Villiers

Journal:

The Mathematical Gazette

Year:

2000

Language:

english

File:

PDF, 127 KB

english, 2000

32

ICT and Mathematics: A guide to teaching & learning mathematics 11-19 using ICTby Adrian Oldknow

Review by: MICHAEL DE VILLIERS

Journal:

The Mathematical Gazette

Year:

2008

Language:

english

File:

PDF, 281 KB

english, 2008

33

79.37 A Generalisation of the Fermat-Torricelli Point

Michael D. de Villiers

Journal:

The Mathematical Gazette

Year:

1995

Language:

english

File:

PDF, 412 KB

english, 1995

34

95.14 Equiangular cyclic and equilateral circumscribed polygons

De Villiers, Michael

Journal:

The Mathematical Gazette

Year:

2011

File:

PDF, 288 KB

2011

35

How does the wind affect road-running achievement?

de Villiers, Michael D.

Journal:

The Physcis Teacher

Year:

1991

Language:

english

File:

PDF, 1.42 MB

english, 1991

36

Mathematics and war, by Bernhelm Booβ-Bavnbek & Jens Høyrup, (eds.). Pp. 416. €39.00. 2003. ISBN 3 7643 1634 9 (Birkhauser Verlag).

De Villiers, Michael

Journal:

The Mathematical Gazette

Year:

2006

Language:

english

File:

PDF, 230 KB

english, 2006

37

Essays on the history of mechanicsby Antonio Becchi; Massimo Corradi; Federico Foce; Orietta Pedemonte

Review by: MICHAEL DE VILLIERS

Journal:

The Mathematical Gazette

Year:

2008

Language:

english

File:

PDF, 340 KB

english, 2008

38

ICT and Mathematics: A guide to teaching & learning mathematics 11-19 using ICT, Edited by Adrian Oldknow. Soft cover. Pp. 82. £9 (Non-members), £6 (members). 2005. (The Mathematical Association).

Villiers, Michael De

Journal:

The Mathematical Gazette

Year:

2008

Language:

english

File:

PDF, 136 KB

english, 2008

39

Meteorological aspects of the wind towers of the United Arab Emirates

Michael de Villiers

Journal:

Year:

2003

Language:

english

File:

PDF, 439 KB

english, 2003

40

[New ICMI Study Series] Proof and Proving in Mathematics Education Volume 15 || Examining the Role of Logic in Teaching Proof

Hanna, Gila, de Villiers, Michael

Year:

2012

Language:

english

File:

PDF, 395 KB

english, 2012

41

Generalizing Van Aubel Using Duality

Michael De Villiers

Journal:

Mathematics Magazine

Year:

2000

Language:

english

File:

PDF, 389 KB

english, 2000

42

Growth and Tissue Elemental Composition Response of Butterhead Lettuce (Lactuca sativa, cv. Flandria) to Hydroponic Conditions at Different pH and Alkalinity

Anderson, Tyler, Martini, Miguel, de Villiers, David, Timmons, Michael

Journal:

Year:

2017

Language:

english

File:

PDF, 431 KB

english, 2017

43

Reviews. Leonhard Euler, by Emil Fellman. Pp. 179. £23.00 (Hardback). 2007. ISBN-13: 978-3-7643-7538-6 (Birkhäuser Verlag).

De Villiers, Michael

Journal:

The Mathematical Gazette

Year:

2010

Language:

english

File:

PDF, 195 KB

english, 2010

44

Modelling with Step-Functions

Michael D. De Villiers

Journal:

Mathematics in School

Year:

1988

Language:

english

File:

PDF, 574 KB

english, 1988

45

Mathematical knowledge and the interplay of practices, by José Ferreirós, pp. 337, £31.00 (hard), ISBN 978-0-691-16751-0, Princeton University Press (2016).

De Villiers, Michael

Journal:

The Mathematical Gazette

Year:

2017

File:

PDF, 43 KB

2017

46

Geometry of design, by Kimberly Elam. Pp. 107. Soft cover. €17.00. 2001. ISBN 1 56898 249 6. (Princeton Architectural Press, distributed by Birkhauser & Springer-Verlag).

Villiers, Michael De

Journal:

The Mathematical Gazette

Year:

2005

Language:

english

File:

PDF, 152 KB

english, 2005

47

Leonhard Euler: a man to be reckoned with, by Andreas Heyne and Alice Heyne (illustrations by Elena Pini). pp. 45. £14.50 (hardback). 2007. ISBN: 978-3-7643-8332-9. (Basel: Birkhäuser Verlag).

De Villiers, Michael

Journal:

The Mathematical Gazette

Year:

2010

Language:

english

File:

PDF, 78 KB

english, 2010

48

Mathematics and war, by Bernhelm Booβ-Bavnbek & Jens Høyrup, (eds.). Pp. 416. €39.00. 2003. ISBN 3 7643 1634 9 (Birkhauser Verlag).

De Villiers, Michael

Journal:

The Mathematical Gazette

Year:

2006

File:

PDF, 230 KB

2006

49

Geometric problems on maxima and minimaby Titu Andreescu; Oleg Mushkarov; Luchezar Stoyanov

Review by: MICHAEL DE VILLIERS

Journal:

The Mathematical Gazette

Year:

2008

Language:

english

File:

PDF, 276 KB

english, 2008

50

Making a difference? Ten years of managing people with intellectual disability and forensic needs in the community

Fergus Douds and Professor Michael, Dr, de Villiers, Jana, Doyle, Michael

Journal:

Journal of Intellectual Disabilities and Offending Behaviour

Year:

2015

Language:

english

File:

PDF, 193 KB

english, 2015

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