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#mathematics

30 posts28 participants4 posts today

"In order to translate a sentence from English into French two things are necessary. First, we must understand thoroughly the English sentence. Second, we must be familiar with the forms of expression peculiar to the French language. The situation is very similar when we attempt to express in mathematical symbols a condition proposed in words. First, we must understand thoroughly the condition. Second, we must be familiar [...]" – George Pólya (1887-1985)
#quote #mathematics #math #maths

#programming #engineering #mathematics #commonLisp ellipse drawing article drastic improvement. A walkthrough to using cl-series #series macro package.

screwlisp.small-web.org/progra

Now in the old one yesterday (I was coming down with a cold!) I got the somewhat cutting feedback "should've been 6 lines of #python ". Honestly, pythonistas, I am ready to learn what you have to teach ;p.

Thoughts, feedback, criticism most welcome. What's /your/ example?

cc @vnikolov @oantolin

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arXiv.orgAn Anarchist Approach to the Undergraduate Mathematics CurriculumContemporary anarchism centers around three tenets: (1) a constant challenge of and resistance to all forms of domination, (2) so-called "prefigurative politics", in which all decisions are made in a manner that is consistent with a set of non-hierarchical values such as equality, decentralization and voluntary cooperation, (3) a focus on diversity and open-endedness (Gordon, 2008). Within this philosophy the notion of end goals becomes moot; progress, then, is measured by process, in which the values of diversity, pluralism, cooperation, autonomy and experimentation are celebrated. In this perspective piece we propose anarchism as a philosophical framework to address the perceived cognitive dissonances of the current undergraduate mathematics curriculum. Are learning outcomes appropriate in an anarchist approach to education? How can we address the power dynamics of grading and assessment? How can assessment be done in the context of a process-based and horizontal approach that celebrates diversity and autonomy? Should grades be used, and if so, how could they be assigned non-hierarchically? At its core, anarchism aims at aligning thoughts and actions, and we argue that an anarchist viewpoint on undergraduate mathematics addresses the cognitive dissonances that currently plague our curriculum. We propose food for thought for individual instructors' practice, including ideas for incremental and large-scale changes.

"Mathematicians attach a great importance to the elegance of their methods and of their results [...]. What is it that gives us the feeling of elegance in a solution or a demonstration ? It is the harmony of the different parts, their symmetry, and their happy adjustment; it is, in a word, all that introduces order, all that gives them unity, that enables us to obtain a clear comprehension of the whole as well as of the parts." – Henri Poincaré (1854-1912)
#quote #mathematics #maths #math