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“The reason that we teach symbolic algebraic manipulation has everything to do with its efficiency and nothing to do with the historical development of the problems being solved.”
-- Patricia R. Allaire and Robert E. Bradley (in their article ‘Geometric Approaches to Quadratic Equations from Other Times and Places’, available online at: https://www.maa.org/sites/default/files/images/upload_library/46/NCTM/G…)