Jean Piaget and the Child’s Spontaneous Geometry
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Jean Piaget and the Child’s Spontaneous Geometry
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Re: Jean Piaget and the Child’s Spontaneous Geometry
#2> Piaget’s theory formulates a peculiarly inverted version of Ernst Haeckel’s biogenetic law that unites historical phylogeny and mental ontogeny in a recursive Möbius-band-like figure.
I've Googled quite a few words from that sentence and still can't wrap my head round it. Can anyone ELI6?
Re: Jean Piaget and the Child’s Spontaneous Geometry
#3> Piaget’s theory formulates a peculiarly inverted version of Ernst Haeckel’s biogenetic law that unites historical phylogeny and mental ontogeny in a recursive Möbius-band-like figure. I've Googled quite a few words from that sentence and still can't wrap my head round it. Can anyone ELI6?
I found this helpful: https://en.m.wikipedia.org/wiki/Recapitulation_theory#Cognit...
Re: Jean Piaget and the Child’s Spontaneous Geometry
#4> Piaget’s theory formulates a peculiarly inverted version of Ernst Haeckel’s biogenetic law that unites historical phylogeny and mental ontogeny in a recursive Möbius-band-like figure. I've Googled quite a few words from that sentence and still can't wrap my head round it. Can anyone ELI6?
> Piaget’s theory formulates a peculiarly inverted version of Ernst Haeckel’s biogenetic law that unites historical phylogeny and mental ontogeny in a recursive Möbius-band-like figure.
Individual development (ontogeny) restates historical evolution (phylogeny). Haeckel’s biogenetic law says that as an embryo develops it will pass through its past historical states as a species. It's a long discredited 19th century scientific hypothesis.
Inverting the relationship would state that historical evolution is restating individual development OR in the other sense of inverting, they move in the opposite order to one another (Mathematicians: Euclid -> Topology, Kids: Topology -> Euclid).
Basically, kids build up knowledge of topology from everyday interaction with the world and then move onto Euclidean shapes with the knowledge of topology.
Mathematicians discovered it all in the opposite order, starting with Euclidean geometry and only later documenting topology.
Re: Jean Piaget and the Child’s Spontaneous Geometry
#5> Piaget’s theory formulates a peculiarly inverted version of Ernst Haeckel’s biogenetic law that unites historical phylogeny and mental ontogeny in a recursive Möbius-band-like figure. I've Googled quite a few words from that sentence and still can't wrap my head round it. Can anyone ELI6?
I found this helpful: https://en.m.wikipedia.org/wiki/Recapitulation_theory#Cognit...
Yeah, it was. So it's like how the order in which we learn philosophical ideas roughly mirrors the order in which they were discovered?
Re: Jean Piaget and the Child’s Spontaneous Geometry
#6> Piaget’s theory formulates a peculiarly inverted version of Ernst Haeckel’s biogenetic law that unites historical phylogeny and mental ontogeny in a recursive Möbius-band-like figure. I've Googled quite a few words from that sentence and still can't wrap my head round it. Can anyone ELI6?
> Piaget’s theory formulates a peculiarly inverted version of Ernst Haeckel’s biogenetic law that unites historical phylogeny and mental ontogeny in a recursive Möbius-band-like figure. Individual development (ontogeny) restates historical evolution (phylogeny). Haeckel’s biogenetic law says that as an embryo develops it will pass through its past historical states as a species. It's a long discredited 19th century s…
Thanks. That seems a lot more understandable.
Re: Jean Piaget and the Child’s Spontaneous Geometry
#7> Piaget’s theory formulates a peculiarly inverted version of Ernst Haeckel’s biogenetic law that unites historical phylogeny and mental ontogeny in a recursive Möbius-band-like figure. I've Googled quite a few words from that sentence and still can't wrap my head round it. Can anyone ELI6?
Tremens answered about Häckel; the Möbius strip part is Piaget’s model of learning which says that knowledge undergoes continuous rewriting rather than being simply accretive, a view which I would think should be unremarkable today.
Häckel came from a 19th century conception of “advancement” or “progres” — think of that absurd 19th century picture of various apes followed by a human, as if a human is somehow the “most evolved” of the animals. The idea of adaptation to the environment was alien (and apparently frightening) to most people in the West.
Re: Jean Piaget and the Child’s Spontaneous Geometry
#8Earlier quoted context omitted.
I found this helpful: https://en.m.wikipedia.org/wiki/Recapitulation_theory#Cognit...
Yeah, it was. So it's like how the order in which we learn philosophical ideas roughly mirrors the order in which they were discovered?
That was Herbert Spencer’s Belief, yes, as he had a rather reductio “Gadgrind” view of knowledge and worth (he is also the originator of the phrase “social darwinism” and, amusingly, is buried across from his rival Karl Marx. This simplistic view is pretty much dead these days.
Re: Jean Piaget and the Child’s Spontaneous Geometry
#9I work with 3 to 5 year old children, all bellow the poverty line, working with STEM and early literacy learning. This was a great article just due to the frustration I see of my students literacy programs we spend thousands of dollars on. They think all children can just see and learn letters without going to the foundations of shapes and distinguish sounds.
I can't tell you how many children have difficulty with straight lines vs curved lines. Now bring that to learning letter shapes of A and H or S. It is believed that children learn straight line letters that cross quicker than curved, but I have not seen this with the hundreds of children I see every week. I now struggle on the now what in my work to get down to the shapes sooner rather than later with that work and how to convince these horrible developmentally inappropriate children applications that I use to work more in these foundational steps. If anyone wants to back me to take a 2 year sabbatical to develop some children tools it would be greatly appreciated :)
Re: Jean Piaget and the Child’s Spontaneous Geometry
#10I work with 3 to 5 year old children, all bellow the poverty line, working with STEM and early literacy learning. This was a great article just due to the frustration I see of my students literacy programs we spend thousands of dollars on. They think all children can just see and learn letters without going to the foundations of shapes and distinguish sounds. I can't tell you how many children have difficulty with st…
I'm sure if you had some way to app-ize your ideas or generate a return on investment, many people here would back you. (Shouldn't need to be said, but I do feel expedient education of our youth is endlessly valuable despite where it might sit in the capitalistic cabal)