My latest contribution to the New York Times Learning Network is a Math Lesson designed around exploring loan repayment and risk assessment in the context of the European Debt Crisis.
In this lesson, students interact with some cool infographics, collect debt data, run the numbers on possible loan repayment schedules, and explore an elementary notion of “risk” in finance.
This is an amazing collection of hundreds (thousands?) of well-designed Geogebra worksheets:
http://dmentrard.free.fr/GEOGEBRA/Maths/accueilmath.htm
The author, Daniel Mentrard, has put together a huge library of mathematics and physics demonstrations/explorations that are all available for free.
Although the site is in French, it’s not too hard to browse the many Geogebra resources covering Arithmetique, Art et Maths, Algebre, and much more.
And if you like, you can always run the website through Google Translate.
Google’s Public Data Explorer is a great, free resource for students and teachers interested in data science and statistics.
http://www.google.com/publicdata/home
The site allows you to create custom graphs of available data sets, making it easy to experiment with different representations and explore the meaning of data.
There are several data sets available to play around with. The OECD Factbook alone provides a wealth of raw data on education, energy, employment, population and migration, and many other categories. There are also data sets available from the U.S. Census and the U.S. Bureau of Economic Analysis. There appears to be support for using your own data sets, as well.
The data can be represented in a variety of ways: histograms, line graphs, and even dynamic time series are all available. It’s a great way to play around with data, and to build skill and intuition in data analysis, interpretation, and representation.
This is a great collection of favorite Proofs Without Words from the community at MathOverflow.net:
http://mathoverflow.net/questions/8846/proofs-without-words
MathOverflow is geared toward research-level mathematics, so many of the examples deal with very advanced ideas. However, there are some lovely and accessible proofs of the sum of the first n squares, the sum of the first n cubes, the AM-GM inequality, and various Fibonacci identities.
And since it’s MathOverflow, the comments include a healthy debate about whether you can actually prove something with only a diagram!
This is another nice resource provided by the School of Math and Statistics at the University of St. Andrews, Scotland: a collection of biographies of female mathematicians.
http://www-history.mcs.st-and.ac.uk/Indexes/Women.html
There are around 150 mathematicians profiled here. Each profile consists of a biography, a list of references, and links to other internet resources on the individual.
Among those profiled here are Maria Agnesi (of the Witch of Agnesi cubic curve), Emmy Noether (of Noetherian Ring fame), and Mary Ellen Rudin (topologist, and wife of Walter Rudin, a noted figure in Real Analysis).
A general collection of biographies is also available, as well as a fun-to-browse library of curves.