Monday, January 14, 2019

Expressions and limits

The video on expressions and limits is now online!  It begins by demonstrating the more refined statements near-numbers allow and connects back to limit notation, with some examples illustrating the shortfall of the limit-centric pedagogy (and how near-numbers fill in the gaps).  Key learning goals are:
  • to understand how near-numbers allow different (but consistent) results when substituted into  algebraically "equal" expressions,
  • to get an introduction to techniques for avoiding ☆-forms,
  • and to see how near-numbers relate to limit notation used in the classical calculus pedagogy.

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