### A QUANTUM of KNOWLEDGE for gifted and talented students

#### Wake up Sleeping Beauty

Everyone knows the Grimm Brothers' tale about Princess Briar Rose -- the "Sleeping Beauty." : http://en.wikipedia.org/wiki/Sleeping_Beauty Once upon a time there was a wonderful
http://www.nsta.org/quantum/jul99con.asp but it went
dormant like Sleeping Beauty
Now, we would like to make
available our papers from
Divisive
Devices (link)(Euclid’s
algorithm, greatest common divisor, and fundamental theorem of arithmetic), V. N. Vaguten, Sep/Oct91, p36 (Feature) , see also http://www.math.drexel.edu/~tolya/220_euclid.pdf
Combinatorics-Polynomials-Probability (see the attachment) (Permutations
and binomial coefficients), Nikolay Vasilyev and Victor Gutenmacher, Mar/Apr93, p18 (At the Blackboard) Dragon Curves (see the attachment) (
Davis-Knuth’s famous design), Nikolay Vasilyev and Victor Gutenmacher, Sep/Oct95, p4 (Feature) Unindentical Twins (see the attachment) (Using conjugate numbers to tame irrationalitites), V. N. Vaguten, Nov/Dec97, p20 (Feature) Arithmetic Obstacles (see the attachment) (Analyzing the possibility of moving from one position to another), N. Vaguten, Jul/Aug99, p4 (Feature)
Selecting
the Best Alternative (see the attachment) (Mathematical
programming and problems of management), V. Gutenmakher and Zh. Rabbot, Nov/Dec99, p36 (At the Blackboard) Joseph Rabbot is the provost of The Russian National Correspondence School In Math And Science (ВЗМШ Открытый Лицей «Всероссийская Заочная Многопредметная Школа» )
One can read brief biography sketches
of Nikolay Vasiliyev on the last page of our Lines
and Curves
All above-mentioned papers are Copyright © 2011 National Science Teachers Association NSTA They were released by permission from NSTA. All are translations from Russian originals. The next paper
The following papers were published in Russian. Следующие статьи изданы на русском языке (here are the links): The Systems of Linear Equations , Sum of Angles, Dissections of Polygons , Sum of Angles of a Spherical Polygon , Middle Lines,
Acknowledgments:
Attachments: |