The content of this post originally appears on Chalkdust’s ‘What’s your favourite shape?’ post.
Möbius strip (Rob Beckett)
My favourite ‘shape’ is the one sided non-orientable surface called the Möbius strip. This can be created by simply twisting a long strip of paper and gluing the ends together. One of the explanations most regularly associated with the Möbius strip is that of MC Escher, who described an ant crawling along its surface. The ant would be able to do this and return to his starting point having not even crossed an edge (or maybe it keeps crawling on indefinitely hoping to find the end!).
In the Numberphile video Möbius bridges and buildings Carlo H Séquin (UC Berkeley) considers using the idea of a Möbius strip to create aesthetic bridges and buildings.
LMERG: London Mathematics Education Reading Group.
Original post and links available on the LMERG blog.
Paper selected by Lisa Chalmers – “Discourses of Assessment – Discourses of Mathematics” (Candia Morgan, 1999).
Justification: Interest in the development of viewpoints on assessment from 1999 in comparison to now. What is the goal of assessment and what should we be doing?
Reflections on the discussion (R. Beckett)
Assessment is something we all have to do and the focuses of assessment have changed–now if a student doesn’t ‘make the grade’ then it is deemed the teacher’s fault. Is the goal of assessment really to just get students a better grade in their examination? What are we doing it for?
It was suggested that Candia Morgan, in this paper, is evaluating the […]