I've known Anna since I started dating her daughter Laura back in 1985. It was clear to me before I became her son-in-law how much she gave to her family out of love (caring for her parents and parents-in-law, caring for her children and grandchildren, and in the last years of his life caring for her beloved husband Donald); it was not surprising then in talking to her about her career as a teacher to hear how much she cared for her students. Her life was one of living her love and her faith and I am glad that I knew her.
Mathematics as a discipline teaches accountability. Every claim, whether it be a computation result or a statement (theorem) about how things work is accountable. We teach this accountability developmentally, with lower expectations at the beginning, and sometimes folk who study mathematics casually don't understand this. In my multivariable calculus classes, which I teach most frequently, I usually phrase my expectations as "give me a reason to believe your answer", citing my time working at an investment bank where my recommendations had financial repercussions and my supervisor never took my word for anything. In higher-level mathematics classes such as Abstract Algebra or Analysis I can be more explicit: these are the things we all agree to assume, these are the proof techniques which we understand; can you make an argument that convinces the community who have accepted those axioms and rules of inference that what you claim is true? We work hard to remove the ego fro...
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