Difference between revisions of "Completely justified example"

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An example displays a problem and a sequence of steps leading up to an answer.  If the example is "completely justified,"  then each of the steps includes a description of the reasoning that generates it, which is usually the application of one or more knowledge components.  For instance, Suppose the problem is "Solve 2x+3=10 for x."  A completely justified example, written in traditional 2-column format, is:
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An [[example]] displays a problem and a sequence of steps leading up to an answer.  If the example is "completely justified,"  then each of the steps includes a description of the reasoning that generates it, which is usually the application of one or more knowledge components.  For instance, Suppose the problem is "Solve 2x+3=10 for x."  A completely justified example, written in traditional 2-column format, is:
  
 
* 2x+3=10  Given
 
* 2x+3=10  Given

Latest revision as of 22:04, 30 January 2007

An example displays a problem and a sequence of steps leading up to an answer. If the example is "completely justified," then each of the steps includes a description of the reasoning that generates it, which is usually the application of one or more knowledge components. For instance, Suppose the problem is "Solve 2x+3=10 for x." A completely justified example, written in traditional 2-column format, is:

  • 2x+3=10 Given
  • 2x=10-3 Subtract-both-sides
  • 2x=7 Simplify
  • x = 7/2 Divide-both-sides
  • x = 3.5 Simplify

The equations are the steps; the text after each equation is its justification.