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Significant_Figures.tex
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Mon Mar 17 04:24:56 2014 UTC (10 years, 5 months ago) by
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version_2_12_X,
version_2_11_X,
version_2_11_5_msu,
version_2_11_5,
version_2_11_4_uiuc,
version_2_11_4_msu,
version_2_11_4,
version_2_11_3_uiuc,
version_2_11_3_msu,
version_2_11_3,
version_2_11_2_uiuc,
version_2_11_2_msu,
version_2_11_2_educog,
version_2_11_2,
version_2_11_1,
version_2_11_0_RC3,
version_2_11_0,
HEAD
adding description of options for sig figures, and suggestions to minimize student frustration. Minor wording/structural changes.
1: \label{Significant_Figures}
2: A \textbf{significant figures} specification is an optional setting that
3: tells LON-CAPA how many significant
4: figures there are required for the answer, as either a single number, e.g. 3, or a range of
5: acceptable values, expressed as \textbf{min,max}. The significant figures field can be omitted if you do
6: not want to constrain the number of significant digits in the student answers.
7:
8: The system will check to
9: ensure that the student's answer contains the required significant digits,
10: useful in many scientific calculations. For example, if the computer answer is {}``1.3'',
11: and the problem requests three significant digits, specified by (entered without quotes)
12: {}``3'', the system will require the students to type {}``1.30'',
13: even though numerically, {}``1.3'' and {}``1.30'' are the same. A significant
14: figure specification of (entered without quotes) {}``3,4'' means both {}``1.30'' and {}``1.300''
15: are acceptable.
16:
17: Authors should be clear in the problem statements to tell students the required
18: number or range of significant figures. If the student response does not contain
19: the correct number of significant digits, the LON-CAPA response will
20: tell students to increase or decrease the digits in their response, but it will not
21: tell them how many digits to use. These responses do not use up
22: the number of trials, but such responses are frustrating for students. If you would like to ensure
23: that at least three significant digits are used, then a specification such as 3,15
24: ensures at least three digits are used, but will quietly accept up to 15.
25:
26: Note that care must be used when using formatted computer answers together with
27: a significant digit specification.
28: You must ensure that the formatted answer provides enough significant digits.
29: To test the formatted answer, LON-CAPA converts the computer answer,
30: as generated in the script block, according to the
31: format attribute in the numericalresponse tag, e.g. 3f.
32: Then LON-CAPA separately applies that number of significant
33: figures to the computer answer, and if that result
34: falls outside the range specified in the significant digit parameter,
35: it "grades" the computer answer as SIG\_FAIL (i.e., not correct).
36: It is a good idea to use the problem testing environment to test plenty of different
37: randomizations to make sure that your format and sig digits parameters are compatible.
38: This helps ensure that the formatted answer has enough significant digits.
39:
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