If you studied math, science, or engineering at a four-year college in the US, much of what you learned is useless, forgotten, or obsolete. All that money, all that time, all that wasted talent. If all we lost were a few years, no big deal. But the really
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L. Lee. Approaches to algebra: perspectives for research and teaching, Kluwer Academic Publishers, p 102
… it is much of a challenge to demonstrate that functions, modelling, and problem solving are all types of generalizing activities, that algebra and indeed all of mathematics is about generalizing patterns.
p 103
The history of the science of algebra is the story of the growth of a technique for representing of finite patterns.
The notion of the importance of pattern is as old as civilization. Every art is founded on the study of patterns.
Mathematics is the most powerful technique for the understanding of pattern, and for the analysis of the relationships of patterns.(1996)
W. Booth, G. Colomb, and J. Williams. Chicago guides to writing, editing, and publishing University of Chicago Press,, Chicago ; London :, 2nd ed. edition, (2003.)Previous ed.: 1995..
E. Sweedyk, M. deLaet, M. Slattery, and J. Kuffner. SIGCSE '05: Proceedings of the 36th SIGCSE technical symposium on Computer science education, page 256--257. New York, NY, USA, ACM, (2005)
J. Bergin. Proceedings of the 7th annual conference on Innovation and technology in computer science education, page 195. New York, ITiCSE '02, ACM, (2002)