Academic journal article Phi Delta Kappan

# The Case against the Zero

Academic journal article Phi Delta Kappan

# The Case against the Zero

## Article excerpt

Even those who subscribe to the "punishment" theory of grading might want to reconsider the way they use zeros, Mr. Reeves suggests.

THIS IS not a trick question. If you are using a grading scale in which the numbers 4, 3, 2, 1, and 0 correspond to grades of A, B, C, D, and F, then what number is awarded to a student who fails to turn in an assignment? If you responded with a unanimous chorus of "zero," then you may have a great deal of company. There might be a few people who are familiar with the research that asserts that grading as punishment is an ineffective strategy,1 but many of us curmudgeons want to give the miscreants who failed to complete our assignments the punishment that they richly deserve. No work, no credit -- end of story.

Groups as diverse as the New York State United Teachers and the Thomas Fordham Foundation rally around this position.2 Let us, for the sake of argument, accept the point. With the grading system described above, the failure to turn in work would receive a zero. The four-point scale is a rational system, as the increment between each letter grade is proportionate to the increment between each numerical grade -- one point.

But the common use of the zero today is based not on a four-point scale but on a 100-point scale. This defies logic and mathematical accuracy. On a 100-point scale, the interval between numerical and letter grades is typically 10 points, with the break points at 90, 80, 70, and so on. But when the grade of zero is applied to a 100-point scale, the interval between the D and F is not 10 points but 60 points. Most state standards in mathematics require that fifth-grade students understand the principles of ratios -- for example, A is to B as 4 is to 3; D is to F as 1 is to zero. Yet the persistence of the zero on a 100-point scale indicates that many people with advanced degrees, including those with more background in mathematics than the typical teacher, have not applied the ratio standard to their own professional practices. To insist on the use of a zero on a 100-point scale is to assert that work that is not turned in deserves a penalty that is many times more severe than that assessed for work that is done wretchedly and is worth a D. Readers were asked earlier how many points would be awarded to a student who failed to turn in work on a grading scale of 4, 3, 2, 1, 0, but I'll bet not a single person arrived at the answer "minus 6." Yet that is precisely the logic that is employed when the zero is awarded on a 100- point scale.

There are two issues at hand. The first, and most important, is to determine the appropriate consequence for students who fail to complete an assignment. The most common answer is to punish these students. Evidence to the contrary notwithstanding, there is an almost fanatical belief that punishment through grades will motivate students. In contrast, there are at least a few educators experimenting with the notion that the appropriate consequence for failing to complete an assignment is to require the student to complete the assignment. That is, students lose privileges -- free time and unstructured class or study-hall time -- and are required to complete the assignment. The price of freedom is proficiency, and students are motivated not by threats of failure but by the opportunity to earn greater freedom and discretion by completing work accurately and on time. I know my colleagues well enough to understand that this argument will not persuade many of them. Rewards and punishments are part of the psyche of schools, particularly at the secondary level.

But if I concede this first point, the second issue is much more straightforward. …

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