5. Learning Math as an Experimental Science

Because of computers, we see more than ever before that mathematical discovery is like scientific discovery. It begins with the search for pattern in data-perhaps in numbers, but often in geometric or algebraic structures. Generalization leads to abstraction, to patterns in the mind. Theories emerge as patterns of patterns, and significance is measured by the degree to which patterns in one area link to patterns in other areas. Subtle patterns with the greatest explanatory power become the deepest results, forming the foundation for entire subdisciplines. Lynn Steen 1988

 

  1. The Digital Age 
  2. Model Building 
  3. “What if Math” ‒ A Test Kitchen 
  4. Functional Thinking
  5. Explorations 
  6. Tours 
  7. What would a digital age math curriculum look like? 
  8. PK-2 Numbersense by Counting (Sidewalk Math) 
  9. 1-3 Numbersense on Spreadsheets 
  10. 4-6 Ratio 
  11. 6-12 Functions and Model-Building 
  12. 8-12 Rate of Change 
  13. Fermi Problems‒Headmath Throughout

 

Chapter 5. Explorations

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Tradition, Tradition

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The Bit

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