Final answer:
Webster's quote in 'On the Education of Youth in America' underscores his argument for an education system that mirrors the American republican values - power from the people and leadership through elected officials, in contrast to the monarchical education system that was prevalent.
Step-by-step explanation:
The quote “The constitutions are republican, and the laws of education are monarchical” from paragraph 9 of “On the Education of Youth in America” by Webster reinforces the author's view on education by criticizing the inconsistency he perceives between the principles of the American republican government and the prevailing educational practices of the time, which he considered to be more aligned with monarchical systems. Webster argues for a system of education that reflects the republican ideals of the country, where power is derived from the people and public officials are elected for limited terms. By contrasting “republican” with “monarchical,” Webster emphasizes the need for education systems to promote values that align with the governance system of the United States, which should, theoretically, foster equality and prevent the entrenchment of power among a favored and wealthy class. This ties directly into the broader discussions at the time around how much revolutionary change was necessary to maintain the purity of the nation's republican ideals.