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Checks for pedagogy#

See also: teaching-mathematics

Checklist for pedagogy in mathematics teaching offered by Grant Sanderson in a talk titled Math's pedagogical curse

  • Are core ideas given diagrams? see dual-coding
  • Are new abstractions preceded with concrete examples?
  • Does the lesson start with a motivating question?

Mentions ideas related to low-floor-high-ceiling-wide-walls, particularly Boaler's description of 'low-threshold, high-ceiling tasks'

Levels of abstraction#

The following example (subset) of layers of abstraction is given. The example given moves from algebra down to numbers and quantities before engaging with algebra.

Layers of abstraction

Motivating questions#

This practice is linked to the idea of productive-failure

References#