Category Archives: education

Knowledge, its use and teaching

Bodies of knowledge are, with a few exceptions, not designed to be taught, but to be used. To teach a body of knowledge is thus a highly artificial enterprise. thus a highly artificial enterprise. The transition from knowledge regarded as … Continue reading

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What is a mathematical proof?

A dialogue in The Mathematical Experience by Davis and Hersh on what is mathematical proof and who decides what a proof is? Let’s see how our ideal mathematician (IM) made out with a student who came to him with a strange … Continue reading

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Uberization of Education

An Uberized education is when… An Uberized education is when – as in antiquity – one goes to a specific teacher to get lectures, bypassing the university. The students and the teachers are thus matched. If a piece of paper … Continue reading

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Implicit cognition in the visual mode

Images become iconified, with the image representing an object or phenomena, but this happens by enculturation rather by training. An example to elaborate this notion is the painting Treachery of Images by Belgian surrealist artist René Magritte. The painting is also … Continue reading

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Epistemicide!

When I read the word for the first time it invoked a very intense and intentional pun in my mind. The word was coined by a Portuguese sociologist Boaventura de Sousa Santos in his multi-volume project Reinventing Social Emancipation. Toward … Continue reading

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Mathematical Literacy Goals for Students

National Council of Teachers for Mathematics NCTM proposed these five goals to cover the idea of mathematical literacy for students: Learning to value mathematics: Understanding its evolution and its role in society and the sciences. Becoming confident of one’s own … Continue reading

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The True Purpose Of Graphic Display – J. W. Tukey

John Wilder Tukey, one of the greatest Statistician of the last century points to what the purpose of a graphic display should be:  Graphics are for the qualitative/descriptive – conceivably the semi quantitative – never for the carefully quantitative (tables … Continue reading

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Reflections on Liping Ma’s Work

Liping Ma’s book Knowing and teaching elementary mathematics has been very influential in Mathematics Education circles. This is a short summary of the book and my reflections on it. Introduction Liping Ma in her work  compares the teaching of mathematics … Continue reading

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Millions of Computers for Millions of Children

Yesterday ( it should be now read “a couple of years back”)while giving a talk, I was asked this rhetorical question (not verbatim, but close): “What did you say was the sample size of your study?” “Two. This was a … Continue reading

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Politics Science Education or Science Education Politics or Science Politics Education

I am rather not sure what should be the exact title of this post. Apart from the two options above it could have been any other combination of these three words. Because I would be talking about all three of … Continue reading

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