@elzr Or structure vs. process duality if you prefer that: https://t.co/lH6qpbqSSp
RT @prathyvsh: Found another instance of the structure/process duality in the wild! This time from “The Architecture of Complexity” by Herb…
RT @prathyvsh: Found another instance of the structure/process duality in the wild! This time from “The Architecture of Complexity” by Herb…
RT @prathyvsh: Found another instance of the structure/process duality in the wild! This time from “The Architecture of Complexity” by Herb…
RT @prathyvsh: Found another instance of the structure/process duality in the wild! This time from “The Architecture of Complexity” by Herb…
RT @prathyvsh: Found another instance of the structure/process duality in the wild! This time from “The Architecture of Complexity” by Herb…
RT @prathyvsh: Found another instance of the structure/process duality in the wild! This time from “The Architecture of Complexity” by Herb…
RT @prathyvsh: Found another instance of the structure/process duality in the wild! This time from “The Architecture of Complexity” by Herb…
RT @prathyvsh: Anna Sfard in her superb paper ”On the Dual Nature of Mathematical Concepts”: https://t.co/CNzhaIRUn3 describes how shifting…
Found another instance of the structure/process duality in the wild! This time from “The Architecture of Complexity” by Herbert Simon (1962): https://t.co/BY00yxWNS6 https://t.co/Eodkr9I7jO
RT @prathyvsh: @patternatlas A visual excerpt from one of the formative papers I read last year. It is written by Anna Sfard and if you are…
RT @prathyvsh: Anna Sfard in her superb paper ”On the Dual Nature of Mathematical Concepts”: https://t.co/CNzhaIRUn3 describes how shifting…
@patternatlas A visual excerpt from one of the formative papers I read last year. It is written by Anna Sfard and if you are in CS/Math/Pedagogy, I highly recommended: https://t.co/lH6qpbql2R
@p_ballaran This paper by Anna Sfard called “On the Dual Nature of Mathematical Concepts” is a very readable introduction which does not need much math knowledge: https://t.co/lH6qpb8JEh She uses her experience in teaching children mathematics to ground h
And the peasant exclaimed, as if a 'demon' were: "what manner of being is this!!.. don't see it, don't heard it.. but his howl.. Ooh!.. from a cave.. like a forest!!".
RT @prathyvsh: Anna Sfard in her superb paper ”On the Dual Nature of Mathematical Concepts”: https://t.co/CNzhaIRUn3 describes how shifting…
@samth @wcrichton @JAldrichPL Here's some evidence nevertheless: (1) Anna Sfard on the role of mechanistic processes in mathematics: https://t.co/E4C9US5XCj and (2) Alan Turing inventing a fictitious machine to explain automated computation: https://t.co/x
@samth @wcrichton @JAldrichPL BTW, this paper by Anna Sfard about processes vs. objects in mathematics looks relevant as well: https://t.co/E4C9US5XCj
RT @prathyvsh: Anna Sfard in her superb paper ”On the Dual Nature of Mathematical Concepts”: https://t.co/CNzhaIRUn3 describes how shifting…
RT @prathyvsh: Anna Sfard in her superb paper ”On the Dual Nature of Mathematical Concepts”: https://t.co/CNzhaIRUn3 describes how shifting…
RT @prathyvsh: Anna Sfard in her superb paper ”On the Dual Nature of Mathematical Concepts”: https://t.co/CNzhaIRUn3 describes how shifting…
@akkartik @interstar @amb26ponder @jonathoda @stephenrkell @mpweiher @spiralganglion @warianoguerra @jryans Here's a paper on math education that I find very relevant on "right abstractions": https://t.co/E4C9US5XCj TL;DR: Abstractions in mathematics are o
Sfard, A. (1991). On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin. Educational Studies in Mathematics 22, 1–36. https://t.co/1VjTsY8QsQ
From Sfard (1991): https://t.co/dAtEO7jPln. I'm currently adding a summary here: https://t.co/9swUEMuyHL https://t.co/mfko50azHo
Re-reading and summarizing: Sfard, A. (1991). On the dual nature of mathematical conceptions. ESM. https://t.co/sa7p0lMSGh