Arithmetic

  • Play over memorization
    • “fluency” is achieved by playing with numbers, seeing patterns, using what you know to service what you don’t
    • Emphasizes the ability to transform representations fluidly
  • Levels of abstraction pro & cons
    • Going from piles of rocks to Hindu numerical representation on paper introduces more possibility for error but allows for more portability and abstraction. Multiplying 5 x 6 with rocks requires 30 rocks…