If you are interested in considering ways to think about operations with fractions so that the operations emerges from powerful ways of thinking about fractions, watch the following:

- Rethinking Fractions – Part 1 – Intro: http://vimeo.com/40587021
- Rethinking Fractions – Part 2 – Addition & Subtraction: http://vimeo.com/40587170
- Rethinking Fractions – Part 3 – Multiplication & Division: http://vimeo.com/40587305

Enjoy!

Scott

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You should perhaps say that this is, essentially, the way the core says that fractions should be explained.

http://math.berkeley.edu/~wu/CCSS-Fractions.pdf