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Casting technical matters in ordinary language, thereby causing confusion, begins where technical mastery of ordinary language ends.
keywords: transition, progress

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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’)
Here is the online location of their article.
keywords: algebra, mastery, knowledge, education, instruction, mathematics