Neil Strickland
• Member for 7 years, 10 months
• Last seen this week
• Sheffield, United Kingdom

When teaching linear algebra, I rely heavily on carefully constructed examples where everything can be done with rational numbers of small denominator. (It is faintly amusing that the construction of ...

Sally Clark (http://en.wikipedia.org/wiki/Sally_Clark) was convicted in the UK of murdering both her infant sons, when in fact it is much more likely that they died of natural causes. The case ...

Here is some text from the paper "Teacher Characteristics and Student Achievement Gains: A Review" (Wayne and Youngs, 2003): Three analyses take advantage of the detailed teacher data in NELS:88 ...

It is interesting to see how computer algebra systems deal with this kind of thing. In Maple, for example, you can do the following: Define f := x^3 Enter diff(f,x) to get the derivative Enter subs(...

For a very basic example, how about proving that 59549121058965346178 can be expressed as a product of primes? It is much easier to prove the stronger result that every positive integer can be ...

I like Markov chains and Google PageRank (which is essentially a special kind of Markov chain). It doesn't take very long to explain and motivate Markov chains and to argue that the probability ...

There is some relevant research (and bibliography) in this paper: "Improving basic multiplication fact recall for primary school students" (Wong and Evans, 2007) http://link.springer.com/article/10....

I will vote for complex analysis. The main theme of complex analysis is that differentiable complex functions are incredibly rigid, which is completely different from the behaviour of differentiable ...

Personally I encourage students to write answers that make sense as a self-contained piece of writing, because I think that that is a valuable skill. Certainly it is required when writing about ...

For several years I taught I course (which no longer exists) making heavy use of Maple. All the material is at http://neil-strickland.staff.shef.ac.uk/courses/MAS100/. Obviously technical details ...

You can short-cut the Liouville proof as follows. Assuming that $f$ is a monic polynomial of degree $d>0$ with no roots, define $$h(r) = \int_{\theta=0}^{2\pi} f(r\,e^{i\theta})^{-1}\,d\theta.$$...

You could look at https://neilstrickland.github.io/maths_with_maple/. This is a full set of material for a CAS-based course which is mostly calculus but has some precalculus. It was originally ...

British universities have complex systems of teaching quality assurance, mandated by the QAA (http://www.qaa.ac.uk/en). Exams are typically set by a lecturer, checked by a colleague in the same ...

There is a scheme "Mentoring African Research in Mathematics" run by the London Mathematical Society (which is effectively the UK national maths society) and the African Mathematics Millennium ...

I have some documents discussing various issues about the use of Maple in teaching here: http://neil-strickland.staff.shef.ac.uk/talks/maple2/ (This is actually quite old, but I think that most of ...

If you have access to a Moodle server, you could look at CodeRunner (https://coderunner.org.nz/). This is a Moodle question type that can be used for automated assessment of programming exercises in ...

You can make 3D images that can be manipulated by mouse and put them on the web. There are a bunch of examples at http://neil-strickland.staff.shef.ac.uk/courses/MAS243/pics/. These are done with a ...

Material for all my courses is at http://neil-strickland.staff.shef.ac.uk/courses/. For the following courses, there are complete sets of lecture slides: Methods for differential equations: I will ...