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# Date Archive: 2008 January

Computation & Analysis

## 16 Puzzles for International Puzzle Day

Today (Tuesday, January 29) is International Puzzle Day. To celebrate, here are 16 puzzles from the Wolfram Demonstrations Project.

1. Box Packing
Can 27 3×4×5 blocks be placed in a 12×12×12 box? How about 27 a×b×c blocks?

2. Dissection Fallacy
Four identical shapes have an area of 64 or 65, depending on their arrangement. How?

## Losing a Country’s GDP in the Financial Markets

Yesterday it became known that a 31-year-old trader at Société Générale had been performing fraudulent transactions in the futures markets that ended up costing the French bank more than 7 billion USD. Some news sources have even speculated that the large market losses on Monday were caused by SocGen unwinding the bad trades. These market losses, on their turn, were the main cause behind the US Federal Reserve's decision to cut interest rates by 75 basis points on Tuesday. I was chatting about the topic with a coworker today when he mentioned---as people often do when these things happen---that this value was larger than the economy of many countries. Sure, but how many? As we do all the time, we fired up Mathematica to put things into perspective. And indeed, it's trivial to get Mathematica to answer that question: you just use the built-in function CountryData to generate a list of all countries in the world, and select those whose gross domestic product (at market rates) is smaller than 7 billion. The SocGen rogue trader managed to annihilate an amount of money that surpasses the yearly output of the economy of 112 countries, among them Madagascar, Mozambique and war-torn Afghanistan, all of which have population sizes larger than 15 million. A more visual way to present this fact is to use the "FullPolygon" property in CountryData to generate countries' shapes, and then color those countries with a GDP below 7 billion USD: It took me less than a minute to visualize my office mate's comparison, and indeed this is a type of visualization that a lot of Mathematica users can just pull out of their hats---thanks to the effort that was put into designing Mathematica to make sure that all of its functionality fits together. For more examples of CountryData, visit The Wolfram Demonstrations Project.

## Flipping Out over Technology in Education

I’ve been interested in education for a long time, and when someone suggests that the software system I’ve been working on for 20 years is bad for education, I take it personally. So I was upset when a New Scientist magazine article “Physics Tool Makes Students Miss the Point,” reported on a study by Thomas Bing and Edward Redish, “Symbolic Manipulators Affect Mathematical Mindsets,” strongly implying that the study concluded that replacing paper-and-pencil calculations with Mathematica was educationally unsound. And I was greatly relieved to find that the study itself says no such thing. Bing and Redish don’t recommend banishing Mathematica; they welcome it in their classrooms and point out many positive things about it, along with one relatively minor pitfall they suggest ways to work around. What mindset led the reporter to jump to such a reactionary conclusion? Why use such an inflammatory headline in connection with level-headed research that showed, when you get right down to it, virtually the opposite of what the New Scientist headline says? The question of what technology to use in the classroom comes up all the time, and the resulting debate often generates more heat than light. People feel strongly about the subject because at its heart it is a question about what it means to be human.