Rethinking Intensive Quantities via Guided Mediated Abduction

  title={Rethinking Intensive Quantities via Guided Mediated Abduction},
  author={Dor Abrahamson},
Some intensive quantities, such as slope, velocity, or likelihood, are perceptually privileged in the sense that they are experienced as holistic, irreducible sensations. However, the formal expression of these quantities uses a/b analytic metrics; for example, the slope of a line is the quotient of its rise and run. Thus, whereas students’ sensation of an intensive quantity could serve as a powerful resource for grounding its formal expression, accepting the mathematical form requires students… CONTINUE READING


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