February 2011 MATH e-NEWSLETTER

This more or less quarterly Math e-Newsletter is sent out mainly in Southern Africa, but has information that may be of interest to others from different parts of the world. Please e-mail me at profmd@mweb.co.za if you'd like to be on the mailing list. (Also please say if you specifically want it sent to you as an e-mail or whether you prefer downloading/reading it from my homepage and just receiving a notification).

For the PREVIOUS two e-Newsletters go to:

http://mysite.mweb.co.za/residents/profmd/newsletter1.html

and the one
before that from:

http://mysite.mweb.co.za/residents/profmd/newsletter2.html

******

** **

PLEASE
FORWARD TO ALL INTERESTED IN MATHEMATICS & SCIENCE EDUCATION

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******

Dear
Colleagues & friends

Wishing
you all a very Happy New Math Year!

1. **HOMEPAGE
UPDATE**

My
homepage at http://mysite.mweb.co.za/residents/profmd/homepage4.html
has been updated with the following new items:

1)
PME (1989) paper "A comparative study of two Van Hiele testing
instruments"

2)
mathematical/mathematics education quote

3)
mathematics/science cartoon.

My
dynamic geometry sketches Link at http://math.kennesaw.edu/~mdevilli/JavaGSPLinks.htm
has been updated with the following (new & revised) sketches:

1)
De Villiers points & Hyperbola of a triangle (updated)

2)
A generalization of Neuberg & Simson line (updated)

3)
Interior Angle Sum of Polygons: A general formula (new)

4)
Some unproved conjectures (updated)

and the Student Explorations section with:

1)
Cyclic quadrilateral rectangle result (new)

2)
Interior Angle Sum of Polygons: A general formula - with introductory activity using LOGO (turtle geometry) (new)

3)
Quadrilateral Inequality involving Perimeter & Diagonals (updated)

4)
Added links to 'Mathematical Digest' and 'School Maths'

Please
REFRESH pages if they don't load properly the first time.

2.
**SOUTH AFRICAN MATHEMATICS OLYMPIAD**

Please
remember the dates for this year's Olympiad:

Closing
date for entries: 4 Feb

1st
round: 16 March

2nd
round: 17 May

3rd
round: 7 Sep

For
more info about entering this prestige competition, past papers and answers, go
to:

Download
the free e-Book, "Geometry Unbound" at http://www.scribd.com/doc/18935265/Geometry-Unbound

It
provides great training and reference for students to prepare for the Senior
3rd Round of SA Mathematics Olympiad (SAMO) and the International Mathematical
Olympiad (IMO)

3.
**AMESA CONGRESS 2011 DATES**

Please
note the change of dates to 11-15 July 2011 (see more info further down).

4.
**NEW or RECENT BOOKS**

** **

The
books below might be valuable additions to add to your university, school or
personal libraries.** **

** **

a)
**The Computer as Crucible: An Introduction to Experimental Mathematics **

Jonathan
Borwein; Keith Devlin, ISBN 9781568813431 URL: http://www.crcpress.com/ecommerce_product/product_detail.jsf?isbn=9781568813431

(Also
available in German now)

b)
**Interdisciplinarity for the 21st Century: Proceedings of the 3rd
International Symposium on Mathematics and its connections to the Arts and
Sciences, Moncton 2009. **Edited by Bharath Sriraman; Viktor Freiman, Paperback
978-1-61735-218-8, Hardcover 978-1-61735-219-5, URL: http://infoagepub.com/products/Interdisciplinarity-for-the-21st-Century

c)
**Creativity in mathematics and the education of gifted students**, Edited by Roza Leikin,
Abraham Berman and Boris Koichu URL: https://www.sensepublishers.com/product_info.php?products_id=853&osCsid=f66cb52b2eb4f1f5e196160ff0ebf18b

d)
**Proof in Mathematics Education: Research, Learning and Teaching** by David Reid and
Christine Knipping, URL: https://www.sensepublishers.com/product_info.php?products_id=1094&osCsid=f66cb52b2eb4f1f5e196160ff0ebf18b

e)
Republished **Boolean Algebra at School, Vol. 1 & Vol. 2** by Michael de Villiers,
available as PDF or printed book, URLÕs: http://www.lulu.com/product/paperback/boolean-algebra-at-school-vol-1/14244188
and http://www.lulu.com/product/paperback/boolean-algebra-at-school-vol-2/14244227

**5.
OBITUARIES**

** **

With
sadness, three friends & colleagues I personally knew passed away.

Pierre
van Hiele on 1 November 2010 at the age of 101. He is famous for the Van Hiele
theory of learning geometry, which is used in many countries. He was given a
Honorary Award at UNISA in 2001 for his influential work.

Tom
O'Brien on 6 December 2010. He
worked with Polya and Freudenthal. His websites at http://www.mathplace.net/ and http://www.professortobbs.com/
contain several of his books and papers, including a Personal Memory of George
Polya at http://www.professortobbs.com/articles/Memories_of_George_Polya.pdf

Peter
Hilton, renowned algebraic topologist, on 6 November 2010. Worked on the Enigma
project during World War II and visited South Africa several times together
with Jean Pedersen. Go to http://www.guardian.co.uk/science/2010/dec/02/peter-hilton-obituary
He also had harsh, critical views about the traditional one-sided emphasis on
'computational expertise' at school – see for example: http://www.guardian.co.uk/theguardian/2010/dec/07/letter-peter-hilton-obituary

6.
**NEWSFLASH**

** **

Key
Curriculum Press has been honored with two 2010 BESSIE Awards for *The
Geometer's Sketchpad¨* and *Tinkerplots¨ Dynamic Data Exploration*. For 16 years, the Best
Educational Software (BESSIE) Awards have been presented by ComputED Learning
Center, targeting content-rich programs and Web sites that provide teachers
with the technology to foster educational excellence. For more info about these
programmes or to order in Southern Africa, please contact: dynamiclearn@mweb.co.za

7.
**WEBSITES**

a) Join *Sketchpad
Exchange *for free at http://sketchexchange.keypress.com/,
a new online community where you can share ideas and connect with your peers:
share & download *Sketchpad* sketches and activities for use in your classroom, post links to
your website and videos, participate in the community forum, browse the site by
grade levels, topics, and tags, etc.

b) The
online group *MathFuture*
have been holding a series of "forward-thinking" discussions
using Elluminate, an online conferencing software program. Here's a link to the
group wiki page that shows the past and future online discussions:

http://mathfuture.wikispaces.com/events

c) The full
*2010 Psychology of Mathematics Education of North America (PME-NA)
Proceedings* in
Columbus, Ohio, of 1600 pages of research papers on mathematics education is
available at the website http://pmena.org/2010/
This is a valuable resource for students, teachers & researchers.

d)
Worksheets to experimentally explore the *Triangle & Parallelogram Law of
Forces* at http://www.tutornext.com/help/triangle-law-of-forces

e) *Virtual
Mathematics Marathon*
at http://www8.umoncton.ca/umcm-mmv/index.php

f)
Free online access to the
journal *Creative Education* at: http://www.scirp.org/journal/ce Contains some math papers, for example,
Vol 1, no 3 Dec 2010 has a nice, downloadable article on 'Language and Mathematics: Bridging
between Natural Language and Mathematical Language in Solving Problems in
Mathematics' by Bat-Sheva Ilany, Bruria Margolin

g)
Bernhard Kutzler has retired, but has generously made available a summary of
his research work on technology in mathematics education in a free e-book *Technology
and the Yin & Yang of Teaching and Learning* at: http://b.kutzler.com/downloads/YinYang_E.pdf

h)
'*Calculus Lectures*' in Videos at http://www.onlinemathlearning.com/calculus.html

A
series of free, short Calculus Video Lessons from UMKC - The University of
Missouri-Kansas City.

i)
Gerrit Stols' website http://school-maths.com/ has interactive applets, links, books
and other materials directly related to the South African mathematics
curriculum.

j)
*TenMarks* has launched a math practice and learning program for grades 3 - High
School and as of today, it's FREE for teachers to use in class or for their
students to use at home. Check it out at http://www.tenmarks.com/teachers

k)
For all mathematics-teacher educators, an article "*Mathematics for
Teaching*"
by Al Cuoco, Notices of the AMS 48 #2 (February 2001), 168-174 at:

http://www.ams.org/notices/200102/fea-cuoco.pdf

l)
For a variety of Mathematical Challenges on probability and statistics, conic
sections, secondary geometry, middle-school and elementary mathematics visit: http://www.odysseys2sense.com

m)
*Problem-based Learning*: PBL is any learning environment in which the problem
drives the learning. That is, before students learn some knowledge they are
given a problem. The problem is posed so that the students discover that they
need to learn some new knowledge before they can solve the problem. This site
has some valuable resources and materials to promote problem-based learning: http://www.chemeng.mcmaster.ca/pbl/PBL.HTM

n)
*Apple iTunes U* - http://www.apple.com/education/itunes-u/whats-on.html There are over 600 universities with
active *iTunes U* sites. About half of these institutions — including Stanford,
Yale, MIT, Oxford, and UC Berkeley — distribute their content publicly
and for FREE on the iTunes - including Mathematics & Science - click on the
links for movies, mp3's, pdf's, etc.

o)
Jeff Weeks' free *Topology & Geometry Games* for Win, Mac at: http://www.geometrygames.org/

p)
*Learning Theory: Constructivism* website at: http://carbon.cudenver.edu/~mryder/itc_data/constructivism.html

q)
This site http://homepage.mac.com/efithian/geometry.html
has nice geometry worksheets and ideas for teaching on topics like tangrams,
tilings, the golden ratio, symmetry, etc.

8. **CONFERENCES**

a)
The 7th Congress of CERME, the European Society for Research in Mathematics
Education will be held in RzeszÂow, Poland, from 9-13 February 2011. Papers
and poster proposals should use the CERME7 WORD template, and conform to the
guidelines at www.cerme7.univ.rzeszow.pl/?id=cerme-guidelines-for-authors

b)
The 14^{th} Connected Mathematics Project (CMP) Users' Conference,
February 25-26, 2011, Kellogg Center on the Campus of Michigan State University
in East Lansing, MI.

For
more information please visit: http://www.connectedmath.msu.edu/conferences/overview.shtml

c)
Conference on Creative Education (CCE 2011) will be held from April 8-10, 2011
in Wuhan, China. For more info go to: http://www.creativedu.org/2011/

d)
The Annual Conference of the Mathematical Association, 14-16 April 2011, Univ.
of Loughborough at http://www.m-a.org.uk/jsp/index.jsp?lnk=100

e)
ATM Conference 2011, 'Celebrating Gattegno', 18 - 21 Apr 2011, Univ. of
Wolverhampton, Telford Campus at http://www.atm.org.uk/events/conferences/

f) NCTM
2011 Annual Meeting & Exposition, Indianapolis, IN, April 13-16, 2011 -
Geometry: Constructing and Transforming Perspectives – more info at http://www.nctm.org/conferences/content.aspx?id=25947

g) The
Mathematics & Statistics Research Unit in collaboration with the Education
Research Unit of the Athens Institute for Education and Research (ATINER) will
hold its 5th Annual International Conference in Athens, Greece, 13-16 June,
2011. The conference website is www.atiner.gr/mathematics.htm

h) A
combined conference of The Australian Association of Mathematics Teachers
(AAMT) and the Mathematics Education Research Group of Australasia (MERGA) will
be held in Alice-Springs, 3-7 July 2011. For more info go to: http://www.aamt.edu.au/Conferences/AAMT-MERGA-conference

i) 35^{th}
Conference of the Psychology of Mathematics Education (PME), Ankara, Turkey,
10-15 July 2011 at http://www.arber.com.tr/pme35.org/index.php/page,48,general_information

j) 17^{th}
National Congress of AMESA, Theme: "Mathematics in a globalised
world", 11-15 July 2011, Johannesburg,
Congress Director: Lerato Mathenjwa, leratojd@yahoo.com
or lerato@amesa.org.za ; Academic
Coordinator: Hamsa.Venkatakrishnan@wits.ac.za

k) TSM
3-day Residential workshop for ICT and Mathematics, Oundle school (near
Cambridge) England 11-14 July 2011, www.tsm-resources.com

l)
TIME-2012 will be held July 10-14, 2010 in Tartu in Estonia. The conference web
site is: http://time2012.ut.ee/

m) The 15th
ICTMA Conference (International Conference on the Teaching of Mathematical
Modeling and Applications) will be hosted by the Australian Catholic
University, Melbourne, 14-19 J u l y 2 0 1 1. Visit: http://dlibrary.acu.edu.au/staffhome/jibrown/ictma.html
or contact: Gloria.Stillman@acu.edu.au

n) BRIDGES
2011 Conference: Connections between Mathematics, Music, Art, Architecture,
Culture, Univ of Coimbra, Portugal, July 27-31, 2011. URL: http://bridgesmathart.org/bridges-2011/

o) 11th
International Conference of The Mathematics Education into the 21st Century Project:
'Turning Dreams into Reality: Transformations and Paradigm Shifts in
Mathematics Education', 10-16 September 2011, Rhodes University, Grahamstown,
South Africa. Download the First Announcement and Call for Papers at: http://math.unipa.it/~grim/21project.htm
E-mail, Alan Rogerson, Programme Chair at alan@rogerson.pol.pl

p) ICMI
Study 21 entitled "Mathematics Education and Language diversity". The
two co-chairs are Mamokgethi Setati University of South Africa, and Maria Do
Carmo Domite Universidade de Sao Paulo, Brazil. The Discussion Document may be found at the study website at
http://www.icmi-21.com/index.php?page_id=140
and the Study Conference will be held on 16 - 20 September 2011 in Sao Paulo,
Brazil.

q) Volcanic
Delta 2011, the Eighth Southern Hemisphere Conference on the Teaching and
Learning of Undergraduate Mathematics and Statistics, will be held in Rotorua,
NZ from 27th November to 2nd December 2011. To express your interest in the
conference or find further information please visit www.delta2011.co.nz

9.
**QUOTES &** **POINTS TO PONDER**

"*Zu
glauben, es gbe nur eine Wahrheit, ist von allen Illusionen die gefhrtlichste*."

- Paul Watzlawick, Austrian-American psychologist and philosopher

Translation:
"*To believe that only one truth exists, is the most dangerous of all
illusions*."

"*The only thing that interferes with my learning is my education*." - Albert Einstein

'*I
invent nothing, I rediscover*.' - Famous artist, Auguste Rodin

* *

10.
**HUMOUR IN MATH & SCIENCE**

"*The
shortest distance between two points is under construction*." - Bill Sanderson

"*Geometry
is just plane fun*."

*Math
Joke*: An infinite crowd of mathematicians
enters a bar. The first one orders
a pint, the second one a half pint, the third one a quarter pint ... . "I
understand", says the bartender - and pours two pints.

*Math
Joke*: Teacher: What is 2k + k? Student: 3000.

An
internet user's signature seen recently:

*'Integrate
me. Differentiate me.*

*You
can't hurt me. I'm e^x. Ha ha ha!'*

11.
**PROBLEM PUZZLER**

Solve
the cyclic quadrilateral problem at: http://math.kennesaw.edu/~mdevilli/cyclic-quad-rectangle-result.html

(Use
a free, Java enabled web browser like Firefox or Safari or download &
install Java for Internet Explorer).

Mathematically
yours

Michael

---

"*Pablo
Picasso once said that 'every child is an artist - the problem is how to have
him/her remain an artist once s/he grows up'. Mathematics is no different from
art in this respect*."

----

Prof
Michael de Villiers

(Dynamic
Math Learning)

8
Cameron Rd

3615
SARNIA (Pinetown)

South
Africa

Tel:
027-(0)31-7083709 (h)

Fax:
0866726536 (w): Cell: 0836561396

Skype:
michaeldevilliersksu

Homepage:
http://mysite.mweb.co.za/residents/profmd/homepage.html

Dynamic
Geometry Sketches: http://math.kennesaw.edu/~mdevilli/JavaGSPLinks.htm

Dynamic
Mathematics Learning Online Store: http://www.FreeWebStore.org/DynamicMathematicsLearning

---

Official
SA Supplier of Key Curriculum Press at http://www.keypress.com

---

Visit
the SA Mathematics Olympiad at http://www.samf.ac.za/samo/