Since this is not my area of expertise, I searched Google under the key words "algebraic reasoning 'related patterns'" to get these possible sources:
http://www.math-info.univ-paris5.fr/~delozanne/Publi/Publi2006/Aida-JILR11-7-06.pdf
(Broken Link Removed)
http://nrich.maths.org/public/viewer.php?obj_id=2737
In the future, you can find the information you desire more quickly, if you use appropriate key words to do your own search.
I hope this helps. Thanks for asking.
What is Algebraic reasoning?
How are repeated patterns connected to algebra?
1 answer