My Math Forum High-order root-approximating methods for children

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 March 5th, 2017, 12:39 PM #1 Newbie   Joined: Mar 2017 From: venezuela Posts: 6 Thanks: 0 High-order root-approximating methods for children Hi All, Hope you find of some interest how to teach children on high-order root-approximating methods (at any desired convergence rate) based on the generalized mediant which is well-known operation for Number theorists. No derivatives, no Trial-Error checks, No Geometry, but just the Simplest Arithmetic. Kindly take a look at the introduction on the new high-order methods for children at: https://domingogomezmorin.wordpress.com/ Best Regards,
 March 5th, 2017, 01:24 PM #2 Senior Member     Joined: Sep 2015 From: CA Posts: 1,112 Thanks: 580 are children generally in need of high-order root-approximating methods? Thanks from Joppy
 March 5th, 2017, 02:40 PM #3 Newbie   Joined: Mar 2017 From: venezuela Posts: 6 Thanks: 0 Yes, talented children certainly do: MATHPATH Program for middle school students showing high promise in mathematics: Cube roots via mediants Last edited by skipjack; March 5th, 2017 at 04:50 PM.
 March 5th, 2017, 03:52 PM #4 Senior Member   Joined: Aug 2012 Posts: 1,165 Thanks: 258 Nevermind. OP is basically spam. Totally not for children. It's a link to his book. Last edited by Maschke; March 5th, 2017 at 04:25 PM.
March 5th, 2017, 05:12 PM   #5
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 Originally Posted by Maschke Nevermind. OP is basically spam. Totally not for children. It's a link to his book.,
which spam I have seen on other sites.

March 5th, 2017, 05:15 PM   #6
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 Originally Posted by romsek are children generally in need of high-order root-approximating methods?
Absolutely. Every time I visit kindergarten, I am asked about the third real root of 11. Aren't you? Few kindergarteners are high on complex roots. But the REAL roots? HUGE deal among 5 and 6 year olds.

Last edited by JeffM1; March 5th, 2017 at 05:17 PM.

March 5th, 2017, 05:19 PM   #7
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 Originally Posted by arithmo Yes, talented children certainly do: MATHPATH Program for middle school students showing high promise in mathematics: Cube roots via mediants
Please, let young students find their way. Freedom.

Press News: ´The Irish Independent´ Dublin, Irlanda
January 24, 2004. Irish student awarded for his work based on some of the new methods shown in this book.

Boffins of the future gunning for glory - Independent.ie

March 5th, 2017, 07:22 PM   #8
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 Originally Posted by JeffM1 which spam I have seen on other sites.
I figured I'd see a mention of gnomons somewhere in the preview text....

March 7th, 2017, 02:16 AM   #9
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 Originally Posted by arithmo Hi All, Hope you find of some interest how to teach children on high-order root-approximating methods (at any desired convergence rate) based on the generalized mediant which is well-known operation for Number theorists. No derivatives, no Trial-Error checks, No Geometry, but just the Simplest Arithmetic. Kindly take a look at the introduction on the new high-order methods for children at: https://domingogomezmorin.wordpress.com/ Best Regards,
There is an exact method via recoursive difference... pls search in my old post.

Given a $P\in\mathbb{N+}$, to have it's cubic root

Start from X=1, make the recoursive difference rising X using:

M_3(x)=3X^2-3X+1

Example: P=27

27-1=26
26-7=19
19-19=0 3 is the cubic root of 3

March 7th, 2017, 12:09 PM   #10
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 Originally Posted by complicatemodulus There is an exact method via recoursive difference... pls search in my old post. Given a $P\in\mathbb{N+}$, to have it's cubic root Start from X=1, make the recoursive difference rising X using: M_3(x)=3X^2-3X+1 Example: P=27 27-1=26 26-7=19 19-19=0 3 is the cubic root of 3
ok. thanks.
What about, say, the cube root of 2

Last edited by greg1313; March 7th, 2017 at 12:41 PM.

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