Hypersphere mock-ups for educational purposes

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Discussion Overview

The discussion revolves around educational strategies for introducing advanced mathematical concepts and cosmology to a young child. Participants explore various resources and methods to engage the child's curiosity about the shape of the universe and related mathematical ideas.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant shares their experience of explaining the shape of the universe to their child using a specific website, seeking suggestions for educational materials related to advanced math and cosmology.
  • Another participant suggests introducing visual math through origami and knots, emphasizing the artistic and engineering aspects of origami.
  • A participant critiques the model referenced by the original poster, stating it is not a good representation of the universe's shape.
  • Several participants recommend resources like paper plane books and presentations that illustrate the scale of the universe, suggesting these may be more suitable for a child.
  • One participant acknowledges the child's interest in cosmology and expresses a desire for more experimental activities that relate to higher math and potential career paths.
  • A later reply emphasizes that the spiral mentioned does not resemble a hypersphere, contributing to the critique of the original model.

Areas of Agreement / Disagreement

Participants express a mix of agreement on the need for engaging educational materials while disagreeing on the validity of the specific model referenced. There is no consensus on the best approach to teach cosmology to a child.

Contextual Notes

Some participants highlight the limitations of the original model and the need for more accurate representations of complex concepts like hyperspheres and cosmology. There are unresolved questions about the appropriateness of various educational tools for young learners.

Spourk
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There is always a fine line between giving too much info and not enough needed to have your questions answered but to make a long story short, my 8 year old loves math and all that it applies to. For an 8 year old he's pretty good at math so I've been inserting sort of high level implications of advanced math so he knows where he needs to go with his understanding. And, sorry for all the prelim info but Cosmology just happens to come up all the time. I've been explaining to him in very lamens terms (very) my understanding of the shape of the universe based on (lurking around here) what I've read and found: http://www.hypersphere.com/hs/abouths.html

I don't think they are selling these anymore but what I'm fishing here for are suggestions on how to steer my son towards advanced math, and eventually Cosmology if that's what he's into. Educational materials good links etc.

Just to add they get a little South of science in that link but was the model OK for a meager representation of a 3d hypersphere (shadow) nested in 4d space? That's pretty much all I got from that link, there was some magery in there and that has nothing to do with math.

Thanks for all your help.
 
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Why not introduce your son to other kinds of visual math like origami or knots.

There's a lot to be said about origami:



Its Art. Its math. Its engineering. Its Origami.

I think you'd need to play with it and then show it to him. You could start with paper planes and all the myriad ways of folding them.
 
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Spourk said:
I've been explaining to him in very lamens terms (very) my understanding of the shape of the universe based on (lurking around here) what I've read and found: http://www.hypersphere.com/hs/abouths.html

This might be an interesting toy, but it is not a good way to understand the shape of the universe.

Spourk said:
was the model OK for a meager representation of a 3d hypersphere (shadow) nested in 4d space?

Definitely not.
 
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Here's a good paper plane book

https://www.amazon.com/dp/1741858569/?tag=pfamazon01-20

I got it at Barnes and Noble as a bargain book for line $12 or so.

Amazon has several other books and few that are origami based designs.

But I liked the one I posted here the most. I keep one at work for open house day and give some away to the kids who show up.
 
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Another thing you could show your son is the power of ten presentations from the smallest to the largest objects in the universe.



This would be a much better representation of the universe for a small child. They like small and they like big and everything in between.
 
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Thanks for the replies. He's pretty good at origami and folding paper and understanding some of the basics of planes and how math relates to them. I'm looking for something specific to Cosmology though and the shape of the universe, (a little deeper than origami - he's asking a lot of good questions). Obviously that paper machete model was a bad example, but I guess I'm looking for something similar that we can actively experiment with from a young age that points to higher math and perhaps some careers he can go into with what it takes. My apologies if this isn't a good place to ask.
 
jedishrfu said:
Another thing you could show your son is the power of ten presentations from the smallest to the largest objects in the universe.



This would be a much better representation of the universe for a small child. They like small and they like big and everything in between.


This is good stuff, we've watched this and the couple of interactive flash videos going from strings to the farthest known size of the universe. He's just asking questions specific to 3d shapes nested in 4d hyperspace. We have gone through the whole expansion analogies and he gets that we didn't explode and space is expanding and the concept of raisin bread. He's curious about what's beyond that and if course my responses are to tell him to learn a lot of math. :)

I guess when I read back on the post title it probably makes a few people cringe - it should have been titled something a little more general in relation to my kid wants to learn more about Cosmology - I just saw the model and wondered if it was legitimate. Thanks again.
 
That spiral bears no resemblance to a hypersphere.
 

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