--- loncom/html/adm/help/tex/Significant_Figures.tex 2013/07/05 18:30:40 1.3 +++ loncom/html/adm/help/tex/Significant_Figures.tex 2014/03/17 04:24:56 1.7 @@ -1,13 +1,39 @@ \label{Significant_Figures} -A \textbf{significant figures} specification tells the system how many significant -figures there are in the problem, as either a single number or a range of -acceptable values, expressed as \textbf{min,max}. The system will check to -make sure that the student's answer contains this many significant digits, -useful in many scientific calculations. For example, if the problem has three -significant digits, the significant digit specification is {}``3'', and -the answer is {}``1.3'', the system will require the students to type {}``1.30'', -even though numerically, {}``1.3'' and {}``1.30'' are the same. A significant -figure specification of {}``3,4'' means both {}``1.30'' and {}``1.300'' -are acceptable. The significant figures field can be deleted if you do +A \textbf{significant figures} specification is an optional setting that +tells LON-CAPA how many significant +figures there are required for the answer, as either a single number, e.g. 3, or a range of +acceptable values, expressed as \textbf{min,max}. The significant figures field can be omitted if you do not want to constrain the number of significant digits in the student answers. - + +The system will check to +ensure that the student's answer contains the required significant digits, +useful in many scientific calculations. For example, if the computer answer is {}``1.3'', +and the problem requests three significant digits, specified by (entered without quotes) +{}``3'', the system will require the students to type {}``1.30'', +even though numerically, {}``1.3'' and {}``1.30'' are the same. A significant +figure specification of (entered without quotes) {}``3,4'' means both {}``1.30'' and {}``1.300'' +are acceptable. + +Authors should be clear in the problem statements to tell students the required +number or range of significant figures. If the student response does not contain +the correct number of significant digits, the LON-CAPA response will +tell students to increase or decrease the digits in their response, but it will not +tell them how many digits to use. These responses do not use up +the number of trials, but such responses are frustrating for students. If you would like to ensure +that at least three significant digits are used, then a specification such as 3,15 +ensures at least three digits are used, but will quietly accept up to 15. + +Note that care must be used when using formatted computer answers together with +a significant digit specification. +You must ensure that the formatted answer provides enough significant digits. +To test the formatted answer, LON-CAPA converts the computer answer, +as generated in the script block, according to the +format attribute in the numericalresponse tag, e.g. 3f. +Then LON-CAPA separately applies that number of significant +figures to the computer answer, and if that result +falls outside the range specified in the significant digit parameter, +it "grades" the computer answer as SIG\_FAIL (i.e., not correct). +It is a good idea to use the problem testing environment to test plenty of different +randomizations to make sure that your format and sig digits parameters are compatible. +This helps ensure that the formatted answer has enough significant digits. +