Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: The Teaching of Fractions
Replies: 10   Last Post: Oct 29, 2012 12:59 PM

 Messages: [ Previous | Next ]
 Clyde Greeno @ MALEI Posts: 220 Registered: 9/13/10
Re: The Teaching of Fractions
Posted: Oct 29, 2012 1:47 AM

The concept of fractions in no way depends on operations with whole numbers
... other than on counting. It depends only on (what amounts to) FACTORING
"whole things" into *quantities* ... such as 19(8ths). It is accessible to
children as soon as they can perceive *partitioning* numerous wholes into
"equivalent" parts. Once they can perceive that kind of *fractioning*, they
easily perceive the *scalar* operations in each denomination (which Wu
ignores: scalar additions, subtractions, and whole-number multiples).

Children can easily learn all of that, LONG before they have mastered the
complexities of "long multiplication" and "long division" ... even long
before they have fully mastered the additions/subtractions of Arabic
numerals. Without that kind of commonsensible comprehension of fractions,
all else is scholastic gibberish.

Cordially,
Clyde

- --------------------------------------------------
From: "Jonathan Crabtree" <sendtojonathan@yahoo.com.au>
Sent: Sunday, October 28, 2012 3:00 PM
To: <math-teach@mathforum.org>
Subject: Re: The Teaching of Fractions

> "I would not start teaching fractions until multiplication and division
> (with whole numbers) are firmly established."
>
> Thank you for this post Bob.
>
> If we are to truly benefit from exploring and discussing this topic, we
> should start off with accepted definitions relevant to children.
>
> So what is your definition of multiplication?
>
> What is your subsequent definition of division?
>
> What is your subsequent definition of fractions?
>
> Jonathan Crabtree

Date Subject Author
10/28/12 Robert Hansen
10/28/12 Paul A. Tanner III
10/28/12 Jonathan J. Crabtree
10/28/12 Robert Hansen
10/29/12 kirby urner
10/29/12 Clyde Greeno @ MALEI
10/29/12 Clyde Greeno @ MALEI
10/29/12 Robert Hansen
10/29/12 Clyde Greeno @ MALEI
10/29/12 Robert Hansen
10/29/12 Clyde Greeno