<p>You're teaching a high school or college class. How do you grade it?</p>
<p>It is good for the transcript grade in a class to be calculated in a way that encourages:
[ul]
[<em>]effort early in the term.
[</em>]effort at any point the term, because it's never too late to hope for a higher grade, not because a lower grade is feared at every point.
[/ul]
The following system implements it:</p>
<p>class grade = (h + f) / (h + 100%)</p>
<p>where</p>
<p>h = homework grade
f = grade on the final
(There are no midterms. Late homework is penalized, maybe docked or unaccepted outright.)</p>
<p>So let's say...
there are 20 homework assignments on which are earned nine 100%s, two 80%s, three 70%s, and six 0%s (i.e. work not turned in or not accepted).
65% is earned on the final.</p>
<p>homework grade = ((9)(100%) + (2)(80%) + (3)(70%) + (6)(0%)) / ((20)(100%)) = 63.5%
final exam grade = 65%</p>
<p>class grade = (63.5% + 65%) / (63.5% + 100%) = 78.6%</p>
<p>It has the following properties:</p>
<p>[ul]
[<em>]The class grade is at least the grade on the final exam.
[</em>]Doing any homework assignment is guaranteed to improve the class grade unless 100% is earned on the final exam or 0% is earned on the assignment (simply failing to affect the class grade). So it can't hurt to try.
[li]Given a 100% homework grade, the final exam grade can be twice as far from perfect to get the same result as a 0% homework grade. Assuming a standard non-curved scale, 80% is the new A, 60% is the new B, etc.[/li][/ul]
Does anyone have experience grading or being graded like this? Can it be improved? Are there better, yet totally different systems?</p>
<p>And let's not lose sight of the purpose of the whole "grade" idea. After the class is over, the grade should represent the quality of the student's current understanding of what has been taught, focusing on how it indicates future performance:
F = complete waste of time
D = learned something valuable, but should retake or specialize in something else
C = ready to move on
B = is likely to succeed after progressing
A = no significant flaws in understanding; maybe forgets a mathematical formula or the name of a historical figure, but would easily understand the relevance of forgotten/unlearned information if presented with it.</p>