“A clever graduate student could teach Fourier something new, but surely no one claims that he could teach Archimedes to reason better.” ReasonTeachStudentsClaimsCleverSomething NewGraduatesGraduate StudentsFourier Author:Paul Halmos
“It is the duty of all teachers, and of teachers of mathematics in particular, to expose their students to problems much more than to facts.” FactsProblemKnowledgeTeacherTeachingStudentsParticularDutyLogicMathematicsMathMath EducationMath TeacherMath Problems Book:Selecta: expository writing Source: Selecta: expository writing
“Many teachers are concerned about the amount of material they must cover in a course. One cynic suggested a formula: since, he said, students on the average remember only about 40% of what you tell them, the thing to do is to cram into each course 250% of what you hope will stick.” SaidRememberCoursesEducationTeacherStudentsMaterialsAmountConcernedMathematicsSticksAverageMathThings To DoFormulasCynic Author:Paul Halmos
“When a student comes and asks, "Should I become a mathematician?" the answer should be no. If you have to ask, you shouldn't even ask.” IfsShouldAsksAnswersStudentsMathShould IMathematician Author:Paul Halmos
“... the student skit at Christmas contained a plaintive line: "Give us Master's exams that our faculty can pass, or give us a faculty that can pass our Master's exams."” GivingLinesStudentsMastersMathematicsMathMathematicalFacultyExamSkit Author:Paul Halmos