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Carey, William - The Mathematical Canon
“Our math textbooks, on the other hand, are written as if a canon of great texts and ideas simply does not exist. Any reference to a mathematical canon they acknowledge is parenthetical – perhaps a callout box noting that Euclid was a Greek geometer or that the triangle theorem was named after a certain Pythagoras.” CiRCE Institute, 15 February 2023
Egan, Patrick - Learning to Wonder: A Deep Dive into the World of Geometric Thinking
“Students will often pose the questions, ‘How does this relate to real life?’ or ‘When will I use this in real life?’ These often arise when encountering abstract concepts. And the temptation is to relate the concepts to a specific real-life application. But this sometimes reduces the potential for exciting the mind to creative exploration. Because at one level, the real life application occurs all around us and even within us in unexpected and obscure ways. Only by training the mind to think mathematically can we even begin to articulate certain realities and processes in life.” Educational Renaissance, 4 March 2023
Howell, Keneth J. - Mathematics Teaches Us How to Think
“Teaching mathematics for utilitarian reasons alone can never escape the trap of cultural relevance. Studied for its truth value, mathematics can confer many more benefits. Understanding mathematics as a human endeavor will entail all the utilitarian reasons, but it will also foster the human intellect in a greater way and aid in the development of the virtues.” First Things, 13 April 2023
Maycock, Daniel - What is Classical Math?
“Compared with modern math instruction, classical mathematics has the potential to give students a deeper understanding and appreciation for mathematics. By reading the original works of great mathematicians (in whole or in part), students will come to understand that mathematics is a discipline that requires as much creativity as music or poetry.” CiRCE Institute, 28 July 2022
Mosley, Ian - Resources for Teaching Euclid
“Rather than presenting mathematical truth ready-made, something that drops like dew from the heavens and is then boiled into a pure textbook distillate, the Elements invites discussion and argumentation. Is ‘that which has no part’ really a good definition of a point? Can the fifth postulate be proven? Would the fourth proposition have been better as an axiom? By pursuing his methodology of strict clarity, Euclid presents very human vulnerabilities, allowing his book to be a resource for stimulating discussion instead of settling it.” The Cosmologicon, 29 March 2023
Treloar, Thomas - The Purpose of Mathematics in a Classical Education
“In modern times, mathematics is often seen as a language useful primarily to scientists. The honing of reasoning skills—a critical component of a liberal education—is often downplayed or completely neglected in mathematics education. The cohesive structure of mathematics is often discarded to more quickly get to the 'useful' results, but then these 'useful' results are often useless because this language of mathematics is without its cohesive structure and, therefore, the order of the universe remains unclear.” The Imaginative Conservative, 23 January 2023