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

Wishing you all a productive and creative mathmatical 2018! Please note I am sending this mail from my g-mail account, which I don't check daily.


My Downloadable Articles Homepage has been updated with the following new items:
1) A Multiple Solution Task: Another SA Mathematics Olympiad Problem (Learning & Teaching Mathematics, June 2017 paper).
2) mathematics/science cartoon and mathematics quote (at bottom of page)

My Student Explorations site has been updated with the following new sketch (as well as some updates to older sketches):
1) Thabit's Generalization of Pythagoras

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.


All parents, teachers and students please note that the closing date for SA Mathematics Olympiad (SAMO) entries is 2 Feb 2018. Download the entry form here. Last year we had a record breaking number of almost 100 000 learners participating. Let's try and break that record!


a) University lecturers or lecturers of advanced calculus at school, might enjoy read the interesting, informative paper by David Bressoud: "Historical Reflections on Teaching the Fundamental Theorem of Integral Calculus".
b) Watch the popular public lecture "How I became interested in the foundations of mathematics" by acclaimed mathematician Vladimir Voevodsky at the Asian Science Camp 2015.
c) Read MAA Convergence: Mathematics History for Your Classroom for many useful ideas on how to use the history of mathematics in the classroom.
d) The new Standards for Preparing PreK-12 Teachers of Mathematics adopted by the Association of Mathematics Teacher Educators (AMTE) are available free online at Teacher Preparation Standards.
e) Incorporate real world mathematical and physical modelling by video-taping and analyzing real situations in your classroom by downloading the free Tracker software.
f) Read for free "Recent research on geometry education: an ICME-13 survey team report" in ZDM, 2016, 48:691-719.
g) Watch Paul Ernest's talk "Mathematics, Beauty and Art: What is beauty in mathematics?" at the MACAS 7 conference in Copenhagen on Tuesday 27 June, 2017.
h) Download the open access Proceedings of the 13th International Congress on Mathematical Education ICME-13, Editor, Gabriele Kaiser.


a) British Congress of Mathematics Education, 3 - 6 April 2018, University of Warwick. URL: http://www.bcme.org.uk/

b) The 2nd Conference of the International Network for Didactic Research in University Mathematics, INDRUM, April 5-7, 2018, Kristiansand (Norway). This research project is intended to contribute to the development of research in didactics of mathematics at all levels of tertiary education, with a particular concern for the development of young researchers in the field and for dialogue with mathematicians. Website: INDRUM 2018.

c) NCTM Annual Meeting and Exposition, April 25-28, 2018, "Empowering the mathematics community", Washington, DC. URL: http://www.nctm.org/annual/

d) The ICMI-EARCOME 8 will be held in Taiwan on May 7-11, 2018. "Flexibility in Mathematics Education". URL: http://earcome8.math.ntnu.edu.tw/

e) 7th CADGME Conference on Digital Tools in Mathematics Education 26-29 June 2018, Coimbra, Portugal. URL: https://www.uc.pt/en/congressos/cadgme2018

f) The 2018 Annual Congress of AMESA will be held at the University of the Free State (Main Campus), Bloemfontein, Free State, South Africa, 25-29 June 2018 with the theme "Culture meets culture: mathematics in and around us". Website: http://www.amesa.org.za/AMESA2018/ 

g) The 42st PME Annual Conference will Umea University in Umea, Sweden, from July 3 to July 8, 2018. URL: http://www.igpme.org/index.php/annual-conference 

h) The 8th International Congress of the World Federation of National Mathematics Competitions (WFNMC), 18-24 July 2018 in Austrian Alps near the city of Graz. URL: https://wfnmc-conference.uni-graz.at/en/

i) BRIDGES 2018, Mathematics, Art, Music, Architecture, Education, Culture, The National Museum of Science and Technology Stockholm, Sweden. Dates: 25-29 July 2018, http://bridgesmathart.org/bridges-2017/.

j) The Aga Khan University (AKU) Institute for Educational Development East Africa, in collaboration with the International Commission on Mathematical Instruction (ICMI) will host the fifth Africa Regional Congress of ICMI on Mathematical Education (AFRICME). AFRCIME, Dar es Salaam, Tanzania, August 29-31, 2018. Contact: fredrick.mtenzi@aku.edu

k) ERME Topic Conference 'Mathematics Education in the Digital Age' (MEDA), 5-7 September 2018, University of Copenhagen. URL: http://www.math.ku.dk/english/research/conferences/2018/meda/

l) The 15th International Conference of the Mathematics Education for the Future Project, "Theory and Practice: An Interface or A Great Divide?", 4-9 August 2019, Maynooth University, Kildare, Ireland. Email: alan@cdnalma.poznan.pl URL: http://directorymathsed.net/public/Ireland/.


"A day without a theorem or a proof is a bad day." - Paul Erdos, when opening his lecture at a geometry conference years ago at the University of Haifa, recollected by Heinz Schumann. .

"... with mathematics, the more we explore, the bigger the world gets, and thus, for those adventurers out there who always want more, welcome to the world of math." - David Craft, author, "Some of Infinity: Peaks in the Landscape of Mathematics".


Law of the Stadium - At any event, the people whose seats are furthest from the aisle, always arrive last.  They are the ones who will leave their seats several times to go for food, beer, or the toilet and who leave early before the end of the performance or the game is over. The folks in the aisle seats come early, never move once, have long gangly legs or big bellies and stay to the bitter end of the performance. The aisle people also are very surly folk.

The Coffee Law - As soon as you sit down to a cup of hot coffee, your boss will ask you to do something which will last until the coffee is cold.

Murphy's Law of Lockers - If there are only 2 people in a locker room, they will have adjacent  lockers.

Law of Physical Surfaces - The chances of an open-faced jam sandwich landing face down on a floor, are directly correlated to the  newness and cost of the carpet or rug.

Law of Logical Argument - Anything is possible IF you don't know what you are talking about.


Mathematically yours


Prof Dr Michael de Villiers
(Dynamic Mathematics Learning)
South Africa
Homepage: http://dynamicmathematicslearning.com/homepage4.html
Dynamic Geometry Sketches: http://dynamicmathematicslearning.com/JavaGSPLinks.htm
Dynamic Mathematics Learning Store: http://www.lulu.com/spotlight/profmdatmwebdotcodotza


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