Comments on: Mistakes, Radicals, Rational Exponents, and Partitioning?

By: Indices, Exponents, Powers – _peterprior

Indices, Exponents, Powers – _peterprior — Mon, 13 Sep 2021 11:29:14 +0000

[…] key starting point in looking at this though is probably Michael Fenton’s blog on the topic, in particular noting the way he talks about the indices as ‘number of factors […]

By: Beth A

Beth A — Wed, 08 Apr 2020 23:58:33 +0000

64^(2/6)

By: dayceemay2018

dayceemay2018 — Tue, 16 Oct 2018 13:25:04 +0000

Thank you for showing us another way to solve. I am continously scouring the internet to help my teen with algebra. This helped us.

By: Anna Vance (@TypeAMathLand)

Anna Vance (@TypeAMathLand) — Sat, 04 Nov 2017 16:07:18 +0000

Definitely a 4. I love the #MTBoS search engine so I can still find gems like this one. Have to ruminate on it for sure. Maybe this will help avoid some tears when I get to rational exponents!

By: Shannon

Shannon — Wed, 04 Oct 2017 20:48:14 +0000

Thank you. Planning to use this with teachers to create some discussion about connecting ideas for students.

By: Indices, Exponents, Powers – _peterprior

Indices, Exponents, Powers – _peterprior — Wed, 02 Aug 2017 23:29:05 +0000

[…] around the world for the same topic! A key starting point in looking at this though is probably Michael Fenton’s blog on the topic, in particular noting the way he talks about the indices as ‘number of factors […]

By: janneth

janneth — Mon, 10 Aug 2015 00:27:09 +0000

you are a great teacher!! walking extra miles to know how they think

By: Clara Maxcy

Clara Maxcy — Wed, 06 Aug 2014 22:47:26 +0000

I am teaching Alg II this year. I saved this post because I love the reminder of the incredibly easy transition between square and cube (and other) roots and radical expressions. I believe your students’ observations deal with our challenge as teachers to help students develop the understanding of why this works. This understanding is what will allow that student (or any other) to deal with the next challenge of more complicated radical expressions!

By: Ashli

Ashli — Wed, 13 Nov 2013 02:07:11 +0000

I am totes late to the party, but this was riveting stuff. Many thanks for the post! I’ve never thought of this stuff in quite this way. The 10^(3/2) with the fraction bar above was a real kicker for me <3
You specified at one point that you were using whole numbers and rationals. I'm wondering how this affects student understanding with irrationals and exponents or multiplication (e^(2*pi*i), anyone?). I'm also wondering how this pushes against the idea of multiplication as a scalar and not repeated addition. Would love to test this out with kiddos.
Again, thanks!

By: Fun with Daily Desmos | Musings on Math by an Experienced Amateur

Fun with Daily Desmos | Musings on Math by an Experienced Amateur — Wed, 23 Oct 2013 20:35:09 +0000

[…] Mistakes, Radicals, Rational Exponents, and Partitioning? […]