Studierhinweis auf: "Habits of Mind"

Überschriften

• Habits of mind
  • Students should be pattern sniffers
  • Students should be experimenters
  • Students should be describers
  • Students should be tinkerers (taking ideas apart and putting them back together)
  • Students should be inventors
  • Students should be visualizers
  • Students should be conjecturers
  • Students should be guessers
• Mathematical approaches to things
  • Mathematicians talk big and think small
  • Mathematicians talk small and think big
  • Mathematicians use functions
  • Mathematicians use multiple points of view
  • Mathematicians mix deduction and experiment
  • Mathematicians push the language
  • Mathematicians use intellectual chants (spend long periods of time alternating between scribbling on paper and looking off into space, kind of meditating)
• Geometric approaches to things
  • Geometers use proportional reasoning
  • Geometers use several languages at once
  • Geometers use one language for everything
  • Geometers love systems
  • Geometers worry about things that change
  • Geometers worry about things that do not change
  • Geometers love shapes
• Algebraic approaches to things
  • Algebraists like a good calculation
  • Algebraists use abstraction
  • Algebraists like algorithms
  • Algebraists break things into parts
  • Algebraists extend things
  • Algebraists represent things
• Why habits of mind?