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Research in Engineering Education Symposium 2011 - rees2009

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Universidad Politécnica de Madrid (UPM) Pág<strong>in</strong>a 116 de 957<br />

This compatibility <strong>in</strong>dex is widely used <strong>in</strong> metrology to analize the compatibility between<br />

measurement results, correspond<strong>in</strong>g to the same measurand, provided by different<br />

laboratories. If this <strong>in</strong>dex is lower than one, the measurement result is considered<br />

compatible and it is accepted that the result z and its uncerta<strong>in</strong>ty U(z) have been correctly<br />

estimated. If you exceed the value of unity, this <strong>in</strong>dicates that problems have<br />

arisen either <strong>in</strong> the estimation of its uncerta<strong>in</strong>ty U z (z), which will subsequently be<br />

<strong>in</strong>vestigated and resolved.<br />

Conclusions<br />

The proposed work<strong>in</strong>g method to students, by default, consists <strong>in</strong> us<strong>in</strong>g images generated<br />

by the LMM <strong>in</strong> the scanner of Figure 1 from real measurands. This allows the student to<br />

work at home without any completary presential sessions at LMM laboratory, even if he<br />

does not have any real <strong>in</strong>strument. The work under these conditions is performed on an<br />

virtual <strong>in</strong>strument. The proposed work covers the entire metrological process, from<br />

<strong>in</strong>strument construction to f<strong>in</strong>al validation of measurement results.<br />

Depend<strong>in</strong>g on the particular <strong>in</strong>terest of every student, LMM can offer slightly different<br />

works to each student, with some work parts larger or shorter as a function of student<br />

<strong>in</strong>terests. Thus, a student <strong>in</strong>terested <strong>in</strong> the development of edge detection rout<strong>in</strong>es <strong>in</strong><br />

specific applications (eg verification of sieves) will work harder <strong>in</strong> this area (edge<br />

detection) but will use a simplified method of estimation uncerta<strong>in</strong>ty. Instead, a student<br />

particulary <strong>in</strong>terested <strong>in</strong> estimation of uncerta<strong>in</strong>ties <strong>in</strong> "Coord<strong>in</strong>ate Metrology" will<br />

<strong>in</strong>crease his workload correspond<strong>in</strong>g to the section on "Measurement" but he will<br />

decrease the workload correspond<strong>in</strong>g to the section "Construction of the <strong>in</strong>strument"<br />

us<strong>in</strong>g the standard rout<strong>in</strong>es supplied the LMM.<br />

If the student has a scanner to work with and he wants to measure real measurement<br />

standards and workpieces, the LMM can provide him with calibrated measurament<br />

standards to be used dur<strong>in</strong>g the calibration of his real scanner. F<strong>in</strong>ally, he will be able to<br />

use his scanner to perform traceable measurements on real workpieces.<br />

Results obta<strong>in</strong>ed dur<strong>in</strong>g last years show that forc<strong>in</strong>g students to confront real and<br />

complete problems (even us<strong>in</strong>g a virtual <strong>in</strong>strument) that <strong>in</strong>volves the construction,<br />

adjustment, calibration and use of a measur<strong>in</strong>g <strong>in</strong>strument permits the detection of gaps <strong>in</strong><br />

student knowledge that otherwise will not be detected. In some cases, these gaps<br />

correspond to fundamental concepts such as adjustment and calibration that seemed to be<br />

well established but, actually, they were misunderstood by students. As a result, this way<br />

of work<strong>in</strong>g force the student to reth<strong>in</strong>k and to reflect on these fundamental concepts and,<br />

f<strong>in</strong>ally, he end up dom<strong>in</strong>at<strong>in</strong>g the field.<br />

Also, this work of reflection of the student is very useful when he is prepar<strong>in</strong>g his doctoral<br />

thesis topic (remember that the subject "Dimensional Metrology" is a doctoral course).<br />

This reflection helps to detect weaknesses <strong>in</strong> his project and to clarify po<strong>in</strong>ts that <strong>in</strong>itially<br />

seemed to be clear but, after a period of deep reflection forced by a work like that<br />

described <strong>in</strong> this paper, some dark areas appear.<br />

Proceed<strong>in</strong>gs of <strong>Research</strong> <strong>in</strong> Eng<strong>in</strong>eer<strong>in</strong>g <strong>Education</strong> <strong>Symposium</strong> <strong>2011</strong><br />

Madrid, 4 th - 7 th October <strong>2011</strong>

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