# All entries for Friday 11 November 2005

## November 11, 2005

### No End of Right Answers

Writing about Equations in blogs from Blogbuilder news

Thanks to the new LaTeX option in Warwick blogs, I can hint at the clever things assessment software is doing nowadays to seek out deep learning, at least for mathematics.

For an exercise like: "Give an example of a sequence that converges to e", it can tell that

$a_n=e$
$a_n=e-\frac{1}{n}$
$a_n=\left(1+\frac{1}{n}\right)^n$

and infinitely many more such answers are all correct. Chris Sangwin's brainchild STACK can do this: STACK (System for Teaching and Assessment using a Computer algebra Kernel) is an open-source system for computer-aided assessment in mathematics and related disciplines; it uses the open-source computer algebra system Maxima.

### Blogging Mathematics

Writing about Equations in blogs from Blogbuilder news

My thanks to those who have recently given us the abiility to render mathematics in Warwick blogs.

I can't resist the temptation to try it out. Tradition has it that the phrase "Let no-one ignorant of geometry enter" was inscribed on the door to Plato's academy. For a more modern mathematical motto one might choose Euler's identity:

$e^{i\pi} + 1 = 0$

linking in a surprising manner five fundamental, apparently-unrelated mathematical constants: 0, 1, i, e, and $\pi$. Hence the in-joke "We are number $-e^{i\pi}$" sometimes seen on mathematics students' T-shirts.

## November 2005

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## Galleries

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• Aha! You are right, John. I am familiar with a different terminology: Multiple Choice for what Quizb… by on this entry
• Haven't you used the wrong question type, Trevor? Your answers look, to my unskilled eye, to be mutu… by John Dale on this entry
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• Is the workshop next Monday,26 March 07, open to anybody interested in computer aided assessment? If… by Kuldeep Singh on this entry