“It is impossible to overstate the imporance of problems in mathematics. It is by means of problems that mathematics develops and actually lifts itself by its own bootstraps... Every new discovery in mathematics, results from an attempt to solve some problem.” MeanProblemResultsImpossibleTeachingDiscoveryMathematicsSolveMathLiftsNew DiscoveriesBootstraps Author:Howard Whitley Eves
“There is a distinction between what may be called a problem and what may be considered an exercise. The latter serves to drill a student in some technique or procedure, and requires little if any, original thought... No exercise, then, can always be done with reasonbable dispatch and with a miniumum of creative thinking. In contrast to an exercise, a problem, if it is a good one for its level, should require though on the part of the student.” IfsThinkingShouldMayLittlesDoneProblemLevelsCreativeTeachingStudentsExerciseOriginalsMathTechniqueDistinctionLatterContrastProceduresDrillsCreative ThinkingOriginal Thought Author:Howard Whitley Eves
“A good problem should be more than a mere exercise; it should be challenging and not too easily solved by the student, and it should require some "dreaming" time.” ShouldProblemDreamChallengesEducationStudentsExerciseMathematicsMereMath Author:Howard Whitley Eves
