February 2017 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 (without spaces) 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).

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Dear
Colleagues & Friends

With
this first Math e-Newsletter of the year 2017, I'd like to wish everyone a
happy mathematical year ahead.

1. **HOMEPAGE
UPDATES**

My
'**Downloadable Articles**' Homepage at http://dynamicmathematicslearning.com/homepage4.html
has been updated with the following new item:

1)
Enrichment for the Gifted: Generalizing Some
Geometrical Theorems & Objects (my ICME 13 paper).

2)
mathematics/science cartoon and mathematics quote (at bottom of page)

My
'**Dynamic Geometry Sketches**' site has been updated with a neat solution by Johan
Meyer in the Explorations for Students section:

1)
Japanese
Circumscribed Quadrilateral Theorem

WebSketchpad: My latest Dynamic Geometry Sketches all use WebSketchpad, which are
more easily accessible across a range of platforms from cellphones to tablets
as well as laptops and PC's without the need to constantly update Java, or to
change your security settings.

2.
**SA MATHEMATICS OLYMPIAD**

a) Entries
for the SA Mathematics Olympiad (SAMO) for Grades 8-12 organized by the South
African Mathematics Foundation (SAMF) is closing this Fri, 3 February 2017.
Last year more than 80 000 learners participated; so please consider entering
as many learners as you can.

b) The SA
Mathematics Challenge (SAMC) for Grades 4-7 will also run again this year, and
has had entries in excess of 70 000.

For
information about entering these competitions go respectively to these 2 sites:

SAMO: http://www.samf.ac.za/Default2.aspx

SAMC: http://www.samf.ac.za/Challenge.aspx

3.
**WEBSITES**

a) The most
common question students ask math teachers at every level is "When will I
use math?" WeUseMath.org is a non-profit website that helps to answer
this question. This website describes the importance of mathematics
and many rewarding career opportunities available to students who study
mathematics. Also provides some Teachers Resources and Links to Math
Competitions. Go to: http://weusemath.org/

b) Join the site
https://www.academia.edu for free and read scholarly papers like
"Algebraic thinking of grade 8 students in solving word problems with a
spreadsheet" by Susana Carreira and "Mathematics education ideologies and
globalization: Is mathematics discovered or invented?" by Paul Ernest.

c) Join the
site https://www.researchgate.net/ for free and read scholarly
articles about the teaching and learning of mathematics at all levels.

d) Celebrate
PI day, March 14 (3.14) with these learning activities from the NCTM
Illuminations website:

**Grades 6–8 Unit: Apple Pi**

Discover the ratio and meaning of pi.

**Grades 9–12 Interactive: Pi Fight**

Become comfortable using both radians and degrees with this fun game.

4. **CONFERENCES**

a) SAARMSTE
Conference, Central University of Technology, Bloemfontein, Free State, South
Africa, 17 - 20 January 2017; Post Conference Writing Clinic: 20 - 21 January
2017; "Research to learn and teach
for diversity in Mathematics, Science and Technology Education". URL: http://www.saarmste.org/conferences

b) 10th
Congress of European Research in Mathematics Education (CERME10), 1-5 February
2017, Croke Park, Dublin. Website: http://www.cerme10.org

c) NCTM
Annual Meeting and Exposition, April 5-8, 2017, "Creating Communities and
Cultivating Change", San Antonio, Texas. URL: http://www.nctm.org/annual/

d) The Annual
Conference of The Mathematical Association, 7 - 9 April 2017, "Common
Denominators: connections within and beyond mathematics", Royal Holloway,
University of London, Egham, Surrey. URL: http://www.m-a.org.uk/annual-conference

e) The Easter Conference of the
Association of Teachers of Mathematics, 10 - 13 April 2017, Holiday Inn hotel,
Stratford-upon-Avon, "Mathematical Learning Journeys". URL (copy and paste into
browser): https://www.atm.org.uk/Maths-teacher-conference

f) The 10^{th}
International Mathematical Creativity and Giftedness Conference (MCG10), 24-26
April 2017, University of Cyprus, Nicosia, Cyprus. URL: http://www.cyprusconferences.org/mcg10

g) The II
International Conference on Mathematics Textbook Research and Development / II
Conferencia Internacional em Pesquisa e Desenvolvimento de Livros Didacticos de
Matematica (ICMT2), will be held from 7 to 11 May 2017, at the Federal
University of Rio de Janeiro (UFRJ) and at the Federal University of the State
of Rio de Janeiro (UNIRIO), Brasil. More info at: www.im.ufrj.br/~ictm2 or email: icmt2@im.ufrj.br

h)
The 2017 Annual Congress of AMESA will be held at the Nelson Mandela
Metropolitan University, Port Elizabeth, South Africa, 3-7 July 2017 with the
theme "Restoring the dignity of mathematics learners through quality teaching
and learning". Website: www.amesa.org.za/AMESA2017/index1.htm

i)
The 41^{st} PME Annual Conference will take place in Singapore from
July 17 - 22, 2017. URL: http://www.igpme.org/index.php/annual-conference

j)
The ICTMA-18 (International Conference on Mathematical Modelling and
Applications will be hosted by the University of Stellenbosch, and held in Cape
Town, South Africa, 23-28 July 2017. Website: http://www.ictma18.co.za
Contact Prof Ndlovu Mdu at: mcn@sun.ac.za or
Dr Helena Wessels at: hwessels@sun.ac.za

k)
BRIDGES 2017, Mathematics, Art, Music, Architecture, Education, Culture, University
of Waterloo, Ontario, Canada. Dates: 27–31 July 2017

http://bridgesmathart.org/bridges-2017
Bridges 2017 will feature talks and artworks presenting the newest ideas in
mathematics and the arts from experts around the world.

l)
International Symposium - Elementary Mathematics Teaching to be held in Prague,
Czech Republic at the Faculty of Education of Charles University, Prague, Czech
Republic, August 20-25, 2017. Contact: jarmila.novotna@pedf.cuni.cz
Website address: http://www.semt.cz/

m)
The 14th International Conference of the Mathematics Education for the Future Project
will be held at Hotel Annabella, Balatonfured, Balaton Lake, Hungary from
September 10-15, 2017. The conference title, "Mathematics Education for the
next Decade: Heuristics and Challenges of PÂ—lya and Lakatos", continues the
search for innovation in mathematics, science, computing and statistics
education. Email: alan@cdnalma.poznan.pl
URL: http://directorymathsed.net/montenegro/AAAAHungaryFirstAnnouncementDraft.pdf

n)
ICHME-5 Fifth International Conference on the History of Mathematics Education,
19-22 September, 2017, Utrecht, the Netherlands. Website:

o)
The next Southern Hemisphere Conference on the Teaching and Learning of
Undergraduate Mathematics and Statistics will be held in Gramado, Brazil in 26
Nov – 1 Dec 2017. Website: https://www.univates.br/evento/deltabrazil/en

p)
The 22nd Asian Technology Conference in Mathematics, December 15-19, 2017,
hosted by Chung Yuan Christian University, Chungli, Taiwan. Website: http://atcm.mathandtech.org

5.
**QUOTES TO PONDER**

"If
mathematics describes an objective world just like physics, there is no reason
why inductive methods should not be applied in mathematics just the same as in
physics." - Logician Kurt G̈odel (1906-1978) in 1951 Gibbs Lecture.

"The history
of science, like the history of all human ideas, is a history of irresponsible
dreams, of obstinacy, and of error. But science is one of the very few human
activities — perhaps the only one — in which errors are
systematically criticized and fairly often, in time, corrected. This is why we
can say that, in science, we often learn from our mistakes, and why we can
speak clearly and sensibly about making progress there." ― Karl Popper, Conjectures and
Refutations: The Growth of Scientific Knowledge

"It
seems to be one of the fundamental features of nature that fundamental physical
laws are described in terms of a mathematical theory of great beauty and power,
needing quite a high standard of mathematics for one to understand it. You may
wonder: Why is nature constructed along these lines? One can only answer that
our present knowledge seems to show that nature is so constructed. We simply
have to accept it. One could perhaps describe the situation by saying that God
is a mathematician of a very high order, and He uses very advanced mathematics
in constructing the universe. Our feeble attempts at mathematics enable us to
understand a bit of the universe, and as we proceed to develop higher and
higher mathematics we can hope to understand the universe better." - British physicist P.A.M.
Dirac

6.
**LIGHTER SIDE**

Proof
by deception: "Now everyone turn your backs. . ."

Proof
by supplication: "Oh please, let it be true."

Proof
by poor analogy: "Well, it's just like adding fruit . . . "

Proof
by avoidance: "This is so easy, let's skip it ..."

Proof
by design: "If it's not true in today's math, invent a new system in which it
is."

Proof
by authority: "Well, Wolfram Mathematica says it's true, so it must
be!"

Proof
by intuition: "I just have this gut feeling. . ."

Geometrically
yours

Michael

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"*Wide
acceptance of an idea is not proof of its validity. Likewise, little acceptance
of an idea is not proof of its invalidity either*." – own saying

----

Prof
Dr Michael de Villiers

(*Dynamic
Mathematics Learning*)

32
Belfry Towers

39
Beach Rd

4141
Doonside

South
Africa

Tel:
027-(0)31-9035109 (h)

Fax:
0866726536 (w): Cell: 0836561396

Skype:
michaeldevilliersksu

**Homepage**: http://dynamicmathematicslearning.com/homepage4.html

**Dynamic
Geometry Sketches**: http://dynamicmathematicslearning.com/JavaGSPLinks.htm

**Dynamic
Mathematics Learning Store**: http://www.lulu.com/spotlight/profmdatmwebdotcodotza

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Visit
the *SA Mathematics Olympiad* at http://www.samf.ac.za/Default2.aspx