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Continue to ChatMathematics is about problems, and problems must be made the focus of a student's mathematical life. Painful and creatively frustrating as it may be, students and their teachers should at all times be engaged in the process - having ideas, not having ideas, discovering patterns, making conjectures, constructing examples and counterexamples, devising arguments, and critiquing each other's work. - Paul Lockhart from https://whatsmyquote.com/quote/mathematics-is-about-problems-and-problems-must-be-made-the-focus-of-a-student-s-mathematical-life-painful-and