“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
“The only way to learn mathematics is to do mathematics.” WayLearningMathematicsMathMathematicalMathematicianAlgebraMath EducationLearning By DoingMathematics By MathematiciansLearning MathGreat MathMath LoveGood MathMath Is LikeMath ClassApplied Mathematics Author:Paul Halmos
“The only way to learn mathematics is to do mathematics. That tenet is the foundation of the do-it-yourself, Socratic, or Texas method.” WayEducationKnowledgeLogicMathematicsMethodFoundationMathTexasDo It YourselfMath EducationSocraticLearning Math Book:A Hilbert Space Problem Book Source: A Hilbert Space Problem Book
“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
