May 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

(To
unsubscribe from this e-Newsletter, please reply with the word 'remove' in
the subject box of the email.)

(If
you prefer to just receive a notice with a URL link to this newsletter online,
please reply with the word 'internet read' in the subject box of the e-mail)

******

Dear
Colleagues & friends

The
year is already well under way and I trust all is going well mathematics
educationally in your classroom, school or institution.

1. **HOMEPAGE
UPDATE**

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

1)
A primary mathematics worksheet (1992) on "Order of operations"

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)
Cyclic quadrilateral rectangle result (new)

2)
A (novel) generalization of the theorem of Pythagoras (new)

3)
Hierarchical quadrilateral tree (new)

4)
Octagon centroids forming parallelo-octagon (updated)

5)
Similarity of parabola (updated with additional sketch)

and the Student Explorations section with:

1)
Bicentric quadrilateral property (new)

2)
Construct a parallel hexagon with Geo-Next (updated)

3)
Miscellaneous transformations (of figures and graphs) (updated)

4)
Pi in other geometries (new)

5)
Quadrilateral Inequality involving Perimeter & Diagonals (updated with
additions)

6)
Rectangle and Rhombus angle trisection (new)

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

2.
**FREE WEBINARS**

** **

Excellent
free webinars by Key Curriculum Press on Algebra, Calculus, Geometry, Data Handling,
Chemistry, etc. are available at: http://www.keypress.com/x25216.xml
Past Webinars are available at http://www.keypress.com/x25895.xml

3.
**BOOKS**

** **

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

** **

a)
**The Elements of Creativity and Giftedness in Mathematics **

Editors,
Bharath Sriraman, The University of Montana, USA and Kyeong Hwa Lee, Seoul
National University, Korea

b)
**QED: Beauty in Mathematical Proof**

by
Burkard Polster URL: http://www.amazon.com/Q-D-Beauty-Mathematical-Wooden/dp/0802714315

c)
**Problem Solving Strategies: Crossing the River with Dogs and Other
Mathematical Adventures**

by
Ted Herr and Ken Johnson URL: http://www.keypress.com/x5488.xml
(To order in Southern Africa, please contact dynamiclearn@mweb.co.za )

d)
**EMPower Mathematics for Adult Mathematics Education** URL: http://www.keypress.com/x5153.xml (To
order in Southern Africa, please contact dynamiclearn@mweb.co.za )

e)
15% Discount on all Lulu books for May 2011, URL: __http://math.kennesaw.edu/~mdevilli/articles-for-sale.html
__

f)
**Expanding the science and technology learning experiences of children**.

The
book is specifically designed for teachers and for parents who work with PreK-8
children to help improve their science and technology education. Free download at
http://iae-pedia.org/David_Moursund_Legacy_Fund

4.
**WEBSITES & DOWNLOADS**

a) Download
Einstein's 1921 address "Geometry and Experience" to the Prussian Academy of
Sciences in Berlin at http://pascal.iseg.utl.pt/~ncrato/Math/Einstein.htm

b) Watch
the video clip "Fibonacci Numbers - The Fingerprint of God" which shows how much they are woven into
the DNA of nature at www.youtube.com/watch?v=e9MwNm0gXd8&feature=player_embedded

c) Download
for free the 1986 UNESCO Vol. 5, "Studies in Mathematics Education: The
teaching of Geometry", 197 pp. at http://unesdoc.unesco.org/images/0012/001248/124809eo.pdf

d) Download
the Masters in Math Ed thesis of David Wagner on "Being in a Mathematical
Place: Brief Immersions in Pure Mathematics Investigations" from the Univ
of Alberta at http://v8nu74s71s31g374r7ssn017uloss3c1vr3s.unbf.ca/~dwagner/articles/Wagner_2002_masters_thesis.pdf

e) Problem
Solving & Logical Thinking at http://math.pppst.com/problemsolving.html
has free powerpoints, worksheets, and more.

f) Download
FREE PDF (for developing countries like South Africa) of "Designing
Mathematics or Science Curriculum Programs: A guide for using Math and Sci
Education Standards" from http://www.nap.edu/catalog.php?record_id=9658

g)
Download FREE PDF (for developing countries like South Africa) of "Helping
Children Learn Mathematics" by Jeremy Kilpatrick and Jane Swafford, Eds.,
from http://www.nap.edu/catalog.php?record_id=10434

h)
Maths Masters by Burkard Polster and Marty Ross, two mathematicians from
Australia, at http://www.qedcat.com/ contains
articles, movie-clips, books, critiques of curricula, challenging problems,
recreational math, etc.

i)
Download FREE PDF of the doctoral dissertation of Ron Myers on "The
Effects of Technology in mathematics Instruction on Student Achievement"
at http://digitalcommons.fiu.edu/etd/136/
The study reports a significant increase in FCAT scores in Grade 10 students
who used Sketchpad as opposed to those in a control group who didn't.

j)
The 53 public use lessons collected as part of the TIMSS video studies are now
available for everyone on a new website, http://timssvideo.com/
Users must register on the site to access the videos, but registration is free.
The site also provides full English-translation subtitles for each lesson, a
searchable transcript, and a set of resources collected with each lesson such
as scanned text materials and teacher commentaries.

k)
A wikipedia for Problem Solving has been launched and is well suited to IMO
preparation. It is found at http://www.tricki.org/

l)
View a book trailer of "Geometry Energized". The aim of this book is to bring
to life GCSE mathematics topics whilst presenting some of its historical
development in an energetic manner. URL: http://www.youtube.com/watch?v=4lRJaF-0fwE

m)
A course on "Didactics As Design Science", for doctoral students in
didactics of mathematics and science, will be held in the Fall of 2011 at the
University of Copenhagen (Denmark). Participation is free of charge. The course
involves 3 two-day sessions in Copenhagen. More information is available here:

http://www.ind.ku.dk/english/course_overview/PhD_Courses/

n)
Proceedings of the Edinburgh Mathematical Society are available at http://journals.cambridge.org/action/displayJournal?jid=PEM
and has mathematical research articles dating back to the 1880's, many of which
are freely accessible online.

o)
The latest issue of the Proof Newsletter with research papers on the teaching
and learning of proof is available at

http://www.lettredelapreuve.it

p)
The site www.MathematicallySane.com
was created to provide insights into the reform of mathematics teaching in the
schools by making a compelling case for the rational reform of school
mathematics.

5. **CONFERENCES**

a) 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

b) SIEMAT
III - The Third International Seminar on Mathematics Education, hosted by the
Post-Graduation Programme of Mathematics Education at Bandeirante University of
So Paulo, Brazil, aims at promoting the interchange of ideas between research
groups and researchers in the field, both nationally and worldwide, 21-25 June 2011.
For more information, contact siematiii@gmail.com
or www.uniban.br/siemat

c) 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

d) The
Tenth International Conference on Technology in Mathematics Teaching will be
held in Portsmouth, UK between 5th-8th July 2011. Full details are available at
www.ictmt10.org

e) 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

f) 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

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

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

i) 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

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

k) 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

l) The ATCM
and Chinese Association of Mathematics Education is launching the ATCM-China
chapter (http://atcm.mathandtech.org/China
) and its first meeting is to be held at Xi'an, China during August 3-6,
2011. The ATCM local chapter is
meant to promote the exchanges of students-centered projects where
technological tools are being implemented creatively in solving real-life
problems.

m) The 16th
Asian Technology Conference in Mathematics (ATCM 2011 http://atcm.mathandtech.org), which is going
to be hosted by the Abantzzet Baysal University, Bolu, Turkey at the beautiful
five star Byk Abant hotel, September 19-23 of 2011.

n) 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.

o) The 2011
International Conference on School Mathematics Textbooks (ICSMT 2011) will be
held during October 12-14, 2011 in Shanghai, China and hosted by East China
Normal University (ECNU). The theme of ICSMT 2011 is to explore trends and
characteristics of school mathematics textbooks around the world. Official
website of ICSMT 2011 at: http://math.ecnu.edu.cn/academia/icsmt/mainpage.html

p) The ISTE International Conference on Mathematics, Science and Technology Education, Kruger Park, South Africa, 17-20 October 2011. Theme: "Towards Effective Teaching and Meaningful Learning in Mathematics, Science and Technology Education". URL: http://www.unisa.ac.za/iste-conference

q) CARN
Conference 2011 (Collaborative Action Research Network) at http://ius.uni-klu.ac.at/misc/carn/

Bringing a
different world into existence: Action research as a trigger for innovations, 4th
- 6th November, 2011

Vienna.

r) 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

s) Joint
Mathematics Meeting of the South African Mathematical Society (SAMS) and the
American Mathematical Society (AMS) at Nelson Mandela Metropolitan University,
Port Elizabeth, 29 November – 3 December 2011 at http://www.nmmu.ac.za/sams-ams2011/ssprop.htm

t) The annual meeting of the Southern African Association for Research in Mathematics, Science & Technology Education (SAARMSTE), 16-19 January 2012, University of Malawi. Theme: "Mathematics, Science & Technology Education : A key to sustainable development". Go to: 1st Announcement .

u) 12th
International Congress on Mathematics Education, ICME-12, July 8-15, 2012,
Seoul, Korea. The 2nd Announcement has been uploaded on the ICME-12 website (http://www.icme12.org ). Calls for papers for
different topic groups have also been posted.

6.
**QUOTES &** **POINTS TO PONDER**

"Intuition
is the aristocratic way of discovery, rigour the plebian way." - H.V.D.
Hodge, mathematician

"There
are no extra pieces in the universe. Everyone is here because he or she has a
place to fill, and every piece must fit itself into the big jigsaw
puzzle." - Lewis Carroll, English mathematician and writer, 1832-1898.

"The
saddest aspect of life right now is that science gathers knowledge faster than
society gathers wisdom." - Isaac Asimov, Russian-born American author and
biochemist, 1920-1992.

"Intuition
comes to us much earlier and with much less outside influence than formal
arguments which we cannot really understand unless we have reached a relatively
high level of logical experience and sophistication. Therefore, I think that in
teaching high school age youngsters we should emphasize intuitive insight more
than, and long before, deductive reasoning."— George Polya (1887-1985) in
(1981). *Mathematical discovery: On Understanding, Learning, and Teaching
Problem Solving*,
(Combined Edition), New York, John Wiley & Sons, p. 128.

* *

7.
**HUMOUR IN MATH & SCIENCE**

*Law
of Mechanical Repair* - After your hands become coated with grease, your nose will begin to
itch and you'll need the toilet.

*Law
of the Alibi* - If you tell the boss you were late for work because you had a flat
tyre, the very next morning you will have a flat tyre.

*Variation
Law* - If
you change lines (or traffic lanes), the one you were in will always move
faster than the one you are in now (works every time).

*Archimedes
Law of the Bath* - When the body is fully immersed in water, the telephone rings.

*Law
of Close Encounters* -The probability of meeting someone you know increases dramatically
when you are with someone you don't want to be seen with.

8.
**PROBLEM PUZZLER**

Solve
the problem at: http://math.kennesaw.edu/~mdevilli/simply-symmetric3.html

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

Infinitely
yours in math

Michael

---

A popular
legend tells of a beginning student of geometry asking Euclid, "*What
shall I get by learning these things?*" Euclid remained silent and called his
slave, saying, "*Give him a coin, since he must make gain out of what he
learns*."

----

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/Default2.aspx