Online Communities of Enquiry in Mathematics Education. A free article in a conversational style with practical tips for online communications and learning. Colin McAllister and Rebecca Hanson ask: What is it like to take part in online discussions? How do moderators and contributors create active and successful conversations? How is the technology employed in the management of discussion forums evolving? What could be achieved through discussion forums in the future?
Published in 2011, "reveals the secrets of amazing, fun-to-perform card tricks--and the profound mathematical ideas behind them--that will astound even the most accomplished magician. ... Each card trick introduces a new mathematical idea, and varying the tricks in turn takes readers to the very threshold of today's mathematical knowledge. For example, the Gilbreath Principle--a fantastic effect where the cards remain in control despite being shuffled--is found to share an intimate connection with the Mandelbrot set. Other card tricks link to the mathematical secrets of combinatorics, graph theory, number theory, topology, the Riemann hypothesis, and even Fermat's last theorem." Read more about one of the authors here: http://chronicle.com/article/The-Magical-Mind-of-Persi/129404/
An article examines the use of drawing in science learning, starting from the history of drawing in experimental science. Unfortunately the full text requires a subscription. Thinking of implications for math learning.
The Final Report of the National Mathematics Advisory Panel noted that many middle school students have a weak understanding of mathematical equality and that this lack of understanding impedes their learning of algebra.
How mathematics affects our daily lives in sociological, economic, and historical perspectives. Three volume set, 490 articles, published in October 2011
"Studies have linked confusing English number names to weaker arithmetic skills in children. Chinese, Japanese, Korean and Turkish express math concepts more clearly." Also explores how math games at an early age develop appreciation and skills.