“A smooth lecture... may be pleasant; a good teacher challenges, asks, irritates and maintains high standards - all that is generally not pleasant.” MayAsksChallengesTeacherTeachingStandardsPleasantSmoothLecturesGood TeacherHigh Standards Author:Paul Halmos
“Don't just read it; fight it! Ask your own question, look for your own examples, discover your own proofs. Is the hypothesis necessary? Is the converse true? ... Where does the proof use the hypothesis?” LooksDoeUseFightingAsksExampleMathematicsProofMathematicalHypothesisConversesMath EducationMathematical Proof 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
