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\ No newline at end of file +%----------------------------------------------------------------------------- +% Copyright (C) 2004-2019 Andrew Mathas, University of Sydney +% +% Distributed under the terms of the GNU General Public License (GPL) +% http://www.gnu.org/licenses/ +% +% This file is part of the WebQuiz system. +% +% <Andrew.Mathas@sydney.edu.au> +%----------------------------------------------------------------------------- + +%% This file is part of the WebQuiz class distribution +\PassOptionsToClass{svgnames}{xcolor} +\documentclass[svgnames]{webquiz} + +% load webquiz-doc code -- the class file loads webquiz-ini.code.tex is first +\input{webquiz-doc.code} + +% using \textcolor or \color in \WebQuiz conflicts with the code to make +% listings respect color in webquiz.cfg +\newcommand\WebQuiz{WebQuiz\xspace} + +\usepackage{pst-plot} +\usepackage{hyperref} + +\usepackage{ifpdf} +\ifpdf + \PackageError{WebQuiz}{This file must be compiled using latex not pdflatex} +\fi +\newcommand{\C}{\mathbb C} +\newcommand*{\vect}[1]{\mathbf{#1}} + +\hypersetup{pdftitle={WebQuiz online manual}} + +\title{WebQuiz: Web Quizzes using LaTeX} +\begin{document} + +\begin{discussion}[Introduction] + \WebQuiz is a \LaTeX{} package for creating \textit{interactive} + web quizzes. The idea is that you write the quiz using \LaTeX{} and that + \WebQuiz creates the web page from this file. Anything that you can + write using \LaTeX{} will be converted to \HTML by \WebQuiz. This + includes, for example, mathematics and graphics written using + \ctan{pstricks}. \WebQuiz supports three different types of quiz + questions: + + \begin{enumerate} + \item Multiple choice questions with a \emph{unique} correct answer. + (See \qref{question1}) + \item Multiple choice questions with \emph{several} (or no) + correct answers. + (See \qref{question2}) + \item Questions that require the student to enter an answer, which + can then be compared with the correct answer in several different + ways. (See \qref{question3}) + \end{enumerate} +The use of \WebQuiz is described in the next section. Later +sections describe how each of the \WebQuiz environments are used. + +The \LatexCode|discussion| environment in \WebQuiz can also be used to +write Web Pages like this one (The pages you are reading here were +written using \WebQuiz.) +\end{discussion} +\begin{discussion}[Basic Usage] +Once you have a \WebQuiz file, you can run it through \LaTeX, in +the usual way, to produce a readable version of your quiz. When you +are happy with the quiz, use \WebQuiz to create the HTML +version. Note that the printable version of the quiz does \emph{not} +look like the web page; rather, it contains all of the information in +an easily readable layout. + + If, for example, your quiz file is called \emph{quiz1.tex} then you + can use the following commands: +\begin{latexcode} + > latex quiz1 % latex a quiz file + > pdflatex quiz1 % a PDF versio of the quiz + > xdvi quiz1 % view the quiz using xdvi + > dvips quiz1 % print the quiz + > webquiz quiz1 % converts the quiz to html +\end{latexcode} + Converting the quiz to html can take quite a long time, particularly + if a large number of images need to be created. + +\end{discussion} +\begin{discussion}[WebQuiz files] + + The basic structure of a \WebQuiz file is as follows: +\begin{latexcode} + \documentclass{webquiz} + + \title{Quiz 1: Complex numbers} + + \UnitCode{MATH1001} + \UnitName{Differential Calculus} + \UnitURL{/u/UG/JM/MATH1001/} + \QuizzesURL{/u/UG/JM/MATH1001/Quizzes/} + + \begin{document} + + \begin{discussion}[short heading][optional heading] + . . . % optional discussion + \end{discussion} + + \begin{question} % question 1 + . . . + \end{question} + + \begin{question} % question 2 + . . . + \end{question} + . + . + \end{document} +\end{latexcode} + In the preamble of the \LaTeX{} file you can specify the unit code, the + name of the unit of study, the location of the homepage for the + unit and the index file for the quizzes for this unit; this is + done using the commands + \LatexCode|\UnitCode|, + \LatexCode|\UnitName|, + \LatexCode|\UnitURL| and + \LatexCode|\QuizzesURL| respectively. If the + command \LatexCode|\QuizzesURL| is omitted then the URL for the quiz + index file is set to \LatexCode|\UnitURL/|Quizzes. + + The title of the quiz can be set in the preamble using the + \LatexCode|\title| command. Note that the \LatexCode|\title| + command \emph{must} appear before the \LatexCode|\begin{document}| command. + As in any \LaTeX{} document, the preamble can define macros and load + other \LaTeX{} packages the usual way . + + By using the \LatexCode|discussion| environment you can summarise the + material for the students or add introductory material for the quiz. + For example, \LatexCode|discussion| environments can be used to recall + that main concepts being covered by the quiz or to give references to + the lecture notes for the unit. The syntax for the + \LatexCode|discussion| environment is as follows: +\begin{latexcode} + \begin{discussion}[optional short heading][optional heading] + . . . + \end{discussion} +\end{latexcode} + Anything you like (text, mathematics, \ldots) can go inside + discussion environments. The \emph{optional heading}, which defaults + to Discussion'', is used both as + the section heading on the web page and as the heading in the + side-menu on left hand side of the page. If a \textit{short heading} + is also given then it is used in the side-menu. The quiz can contain + zero or more discussion items ( and zero or more quiz questions). + + Questions are set inside a \LatexCode|question| environment. The text is + followed by the answers. + + \WebQuiz supports three types of questions: + \begin{itemize} + \item Multiple choice questions with \emph{precisely one} correct + answer; + \item Multiple choice questions with \emph{zero or more } correct + answers; + \item Questions that require the students to enter an answer. Five + difference comparison methods are available. + \end{itemize} + With each of these types of questions you can (and should) provide + feedback to the students depending on whether their answer is + correct or incorrect. Below we describe how to produce these + different types of questions. +\end{discussion} +\begin{discussion}[Question 1] + The syntax for a multiple choice question having \emph{precisely + one} correct answer is as follows: +\begin{latexcode} + \begin{question} + . . .question text + \begin{choice} + \(in)correct . . . text for (in)correct option + \feedback . . . feedback on response + + \(in)correct . . . text for (in)correct option + \feedback . . . feedback on response + . + . + . + \end{choice} + \end{question} +\end{latexcode} + The different choices in a multiple choice question must be inside a + \LatexCode|choice| environment. This environment behaves like a + standard \LaTeX{} list environment except that instead of using + \LatexCode|\item| for list item you use: + \begin{itemize} + \item \LatexCode|\correct| for a correct choice + \item \LatexCode|\incorrect| for an incorrect choice + \item \LatexCode|\feedback| to give feedback to the student when + they select this choice + \end{itemize} + At most one \LatexCode|\feedback| response should be given for each + \LatexCode|\correct| and each \LatexCode|\incorrect| response. + The \LatexCode|\feedback| commands are optional; however, it is + recommended that you use them because targeted feedback to the + students based on their responses can be beneficial. + \par + For example, the code below, when run through \WebQuiz, produces \qref{question1} + in the online manual quiz. +\begin{latexcode} + \begin{question} + The shaded region in the graph + \begin{center} + \begin{pspicture}(-3,-1.5)(3,4) + \pscircle[linewidth=1pt,linestyle=dashed,% + fillcolor=SkyBlue,fillstyle=solid](1,1){2} + \psaxes[linecolor=red,linewidth=1pt,labels=none]% + {->}(0,0)(-1.5,-1.5)(3.5,3.5) + \rput(3.75,0){$x$} + \rput(0,3.85){$iy$} + \rput(3,-0.4){3} + \rput(-0.4,3){3$i$} + \psdots(1,1) + \end{pspicture} + \end{center} + is equal to which of the following sets of complex numbers? + \begin{choice} + \incorrect $\{z \in \C : (z-1)^{2}+(z-(i+1))^{2}<2\}$ + \feedback The equation of a circle in the complex plane with + centre $a+ib$ and radius $r$ is + \begin{displaymath} + \{z\in\C : |z-(a+ib)|<r \}. + \end{displaymath} + + \incorrect $\{z \in \C : z+(i+1)<2\}$ + \feedback You want the set of points whose \textit{distance} + from $1+i$ is less than $2$. + + \correct $\{z \in \C : |z-(i+1)|<2\}$ + \feedback The graph shows the set of complex numbers whose + distance from $1+i$ is less than $2$. + + \incorrect $\{z \in \C : |z-2|<|i+1-2|\}$ + \feedback As $|i+1-2|=\sqrt 2$, this is the set of complex + numbers whose distance from $2$ is less than + $\sqrt 2$. + + \incorrect None of the above. + \feedback The graph shows the set of complex numbers whose + distance from the centre of the circle is less than $2$. + \end{choice} + \end{question} +\end{latexcode} +\end{discussion} +\begin{discussion}[Question 2] + To allow multiple (or no) correct answer we add \LatexCode|multiple| as an + optional argument to the \LatexCode|choice| environment: +\begin{latexcode} + \begin{question} + . . .question text. . . + \begin{choice}[multiple] + \(in)correct . . . text for (in)correct option + \feedback . . . feedback on response + + \(in)correct . . . text for (in)correct option + \feedback . . . feedback on response + . + . + . + \end{choice} + \end{question} +\end{latexcode} + The only difference to the previous case is that zero or more + \LatexCode|\correct| commands can appear. + \par + For example, \qref{question2} below was typed into \WebQuiz + using the following commands: +\begin{latexcode} + \begin{question} + Which of the following numbers are prime? + \begin{choice}[multiple] + \incorrect 1 + \feedback By definition, a prime is a number greater than 1 + whose only factors are 1 and itself. + + \correct 19 + \feedback The only factors of 19 are 1 and itself. + + \incorrect 6 + \feedback 2 is a factor of 6 + + \correct 23 + \feedback The only factors of 23 are 1 and itself. + + \correct 191 + \feedback The only factors of 191 are 1 and itself. + \end{choice} + \end{question} +\end{latexcode} +\end{discussion} +\begin{discussion}[Question 3] + + By default, the \LatexCode|choice| environments puts the multiple + choice options into one column format. Sometimes the options look + better when listed in two or more columns, however, this should be + used sparingly as multiple columns do not always display well if the + quiz is viewed on a mobile device. By using the \LatexCode|columns| + key word in a \LatexCode|choice| environment you can specify the + number of columns in the HTML version of the quiz. + +\begin{latexcode} + \begin{question} + . . .question text. . . + \begin{choice}[multiple, columns=n] . . . n columns + \(in)correct . . . text for (in)correct option + \feedback . . . feedback on response + + \(in)correct . . . text for (in)correct option + \feedback . . . feedback on response + . + . + . + \end{choice} + \end{question} +\end{latexcode} + If the optional argument \LatexCode|[multiple]| is not present, then the + question admits precisely one correct answer. + \par + For example, \qref{question3} below was typed into \WebQuiz + using the following commands: +\begin{latexcode} + \begin{question} + What are suitable parametric equations for this plane curve? + \begin{center} + \psset{unit=.6cm} + \begin{pspicture}(-2.5,-0.5)(5,5.5) + \psaxes[linecolor=red,linewidth=1pt,labels=none]% + {->}(0,0)(-2.5,-1.5)(5,5) + \psellipse[linecolor=SkyBlue,linewidth=2pt](1,2)(3,2) + \end{pspicture} + \end{center} + + \begin{choice}[columns=1] + \incorrect $x=2\cos t + 1$, $y=3\sin t + 2$ + \feedback This is an ellipse with centre $(1,2)$ and with axes of + length $4$ in the $x$-direction and $6$ in the $y$-direction. + \begin{center} + \psset{unit=.6cm} + \begin{pspicture}(-2.5,-0.5)(5,5.5) + \psaxes[linecolor=red,linewidth=1pt,labels=none]% + {->}(0,0)(-2.5,-1.5)(5,5) + \parametricplot[linecolor=SkyBlue,linewidth=2pt]{0}{360}% + {t cos 2 mul 1 add t sin 3 mul 2 add} + \end{pspicture} + \end{center} + + \correct $x=3\cos t + 1$, $y=2\sin t + 2$ + \feedback The curve is an ellipse centre (1,2) with axes length 6 + in the $x$ direction and 4 in the $y$ direction. + + \incorrect $x=3\cos t - 1$, $y=2\sin t - 2$ + \feedback This is an ellipse with centre $(-1,-2)$ and with axes + of length $6$ in the $x$-direction and $4$ in the $y$-direction. + \begin{center} + \psset{unit=.6cm} + \begin{pspicture}(-5,-4)(1,2) + \psaxes[linecolor=red,linewidth=1pt,labels=none]% + {<-}(0,0)(-4.5,-5.5)(1,2) + \parametricplot[linecolor=SkyBlue,linewidth=2pt]{0}{360}% + {t cos 3 mul 1 sub t sin 2 mul 2 sub} + \end{pspicture} + \end{center} + + \incorrect $x=2\cos t - 1$, $y=3\sin t - 2$ + \feedback This is an ellipse with centre $(-1,-2)$ and with axes + of length $4$ in the $x$-direction and $6$ in the $y$-direction. + \begin{center} + \psset{unit=.6cm} + \begin{pspicture}(-4,-5)(1,2) + \psaxes[linecolor=red,linewidth=1pt,labels=none]% + {<-}(0,0)(-4.5,-5.5)(1,2) + \parametricplot[linecolor=SkyBlue,linewidth=2pt]{0}{360}% + { t cos 2 mul 1 sub t sin 3 mul 2 sub} + \end{pspicture} + \end{center} + \end{choice} + \end{question} +\end{latexcode} +\end{discussion} +\begin{discussion}[Question 4] + The final type of question that \WebQuiz supports is a question that + requires an answer, which can be a number or a string. The answer is + typeset using the \LatexCode|\answer| macro. The \LatexCode|\answer| + macro takes two arguments: an optional comparison method, which + defaults to \LatexCode|string|, and the correct answer for the + question: + \begin{latexcode} + \answer[comparison method]{correct answer} + \end{latexcode} + Feedback for correct and incorrect answers is given + using the macros \LatexCode|\whenRight| and \LatexCode|\whenWrong|, + respectively. The structure of questions with \LatexCode|\answer|'s is as follows: + \begin{latexcode} + \begin{question} + . . .question text. . . + \answer[*][complex|integer|lowercase|number|string]{actual answer} + \whenRight . . . feedback when right (optional) + \whenWrong . . . feedback when wrong (optional) + \end{question} + \end{latexcode} + See the \WebQuiz manual for details of the different + comparison types. For example, \qref{question4} below was typed into + \WebQuiz using the following commands: +\begin{latexcode} + \begin{question} + If the vectors $\vect{a}$ (of magnitude 8 units) and $\vect{b}$ + (of magnitude 3 units) are perpendicular, what is the value + of + \begin{displaymath} + |\vect{a} -2\vect{b}|~? + \end{displaymath} + (Hint: Draw a diagram!) + + \answer[number]{10} + \whenRight The vectors $\vect{a}$, \(-2\vect{b}\), and + $\vect{a} - 2\vect{b}$ form the sides of a right-angled + triangle, with sides of length $8$ and $6$ and + hypotenuse of length $|\vect{a} -2\vect{b}|$. Therefore + by Pythagoras' Theorem, + \(|\vect{a} -2\vect{b}|=\sqrt{8^2+6^2}=10\). + + \whenWrong Draw a diagram and then use Pythagoras' theorem. + \end{question} +\end{latexcode} +\end{discussion} +\begin{discussion}[Index Files] + \WebQuiz also provides a mechanism for creating a web page + containing an index of all quizzes for a given Unit of Study. + This is done with a \WebQuiz file that contains a \LatexCode|quizindex| + environment. The syntax for this environment is as follows: +\begin{latexcode} + \begin{quizindex} + \quiz[url1]{title for quiz 1} + \quiz[url2]{title for quiz 2} + . . . + \end{quizindex} +\end{latexcode} +If no \textit{URL} is given as an optional argument to +\LatexCode|\quiz| then + \WebQuiz sets the url(s) to \BashCode|quiz1.html|, \BashCode|quiz2.html| + and so on. +\end{discussion} + +\begin{discussion}[Credits] + \WebQuiz was written and developed in the + \href{http://www.maths.usyd.edu.au/}{School of Mathematics and + Statistics} at the \href{http://www.usyd.edu.au/}{University of + Sydney}. The system is built on \LaTeX{} with the conversion from + \LaTeX{} to HTML using Eitan Gurari's + \href{http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html}{TeX4ht}, + and Michal Hoftich's + \href{https://github.com/michal-h21/make4ht}{make4ht}. + + To write quizzes using \WebQuiz it is only necessary to know + \LaTeX, however, the \WebQuiz system has three components: + \begin{itemize} + \item A \LaTeX{} document class file, \LatexCode{webquiz.cls}, and + a \TeXfht configuration file, \LatexCode{webquitexz.cfg}, that enable the + quiz files to be processed by \LaTeX{} and \TeXfht, respectively. + \item A python program, \BashCode{webquiz}, that translates the \XML + file that is produced by \TeXfht into \HTML. + \item Some \Javascript and \CSS that controls the quiz web page. + \end{itemize} + + The \LaTeX{} component of \WebQuiz was written by Andrew Mathas and + the python, \CSS and \Javascript code was written by Andrew Mathas (and + Don Taylor), based on an initial prototype of Don Taylor's from 2001. + Since 2004 the program has been maintained and developed by Andrew + Mathas. Although the program has changed substantially since 2004, + Don's idea of using \TeXfht, and some of his code, is still in use. + + Thanks are due to Bob Howlett for general help with CSS and, for + Version~5, to Michal Hoftich for technical advice. +\end{discussion} + +\begin{question} + \label{question1} + The shaded region in the graph + \begin{center} + \begin{pspicture}(-3,-1.5)(3,4) + \pscircle[linewidth=1pt,linestyle=dashed,fillcolor=SkyBlue,fillstyle=solid](1,1){2} + \psaxes[linecolor=red,linewidth=1pt,labels=none]% + {->}(0,0)(-1.5,-1.5)(3.5,3.5) + \rput(3.75,0){$x$} + \rput(0,3.85){$iy$} + \rput(3,-0.4){3} + \rput(-0.4,3){3$i$} + \psdots(1,1) + \end{pspicture} + \end{center} + is equal to which of the following sets of complex numbers? + \begin{choice} + \incorrect $\{z \in \C : (z-1)^{2}+(z-(i+1))^{2}<2\}$ + \feedback The equation of a circle in the complex plane with + centre $a+ib$ and radius $r$ is + \begin{displaymath} + \{z\in\C : |z-(a+ib)|<r \}. + \end{displaymath} + + \incorrect $\{z \in \C : z+(i+1)<2\}$ + \feedback You want the set of points whose \textit{distance} + from $1+i$ is less than $2$. + + \correct $\{z \in \C : |z-(i+1)|<2\}$ + \feedback The graph shows the set of complex numbers whose + distance from $1+i$ is less than $2$. + + \incorrect $\{z \in \C : |z-2|<|i+1-2|\}$ + \feedback As $|i+1-2|=\sqrt 2$, this is the set of complex + numbers whose distance from $2$ is less than + $\sqrt 2$. + + \incorrect None of the above. + \feedback The graph shows the set of complex numbers whose + distance from the centre of the circle is less than $2$. + \end{choice} +\end{question} + +\begin{question} + \label{question2} + Which of the following numbers are prime? + \begin{choice}[multiple] + \incorrect 1 + \feedback By definition, a prime is a number greater than 1 + whose only factors are 1 and itself. + + \correct 19 + \feedback The only factors of 19 are 1 and itself. + + \incorrect 6 + \feedback 2 is a factor of 6 + + \correct 23 + \feedback The only factors of 23 are 1 and itself. + + \correct 191 + \feedback The only factors of 191 are 1 and itself. + \end{choice} +\end{question} + +\begin{question} + \label{question3} + What are suitable parametric equations for this plane curve? + \begin{center} + \psset{unit=.6cm} + \begin{pspicture}(-2.5,-0.5)(5,5.5) + \psaxes[linecolor=red,linewidth=1pt,labels=none]% + {->}(0,0)(-2.5,-1.5)(5,5) + \psellipse[linecolor=SkyBlue,linewidth=2pt](1,2)(3,2) + \end{pspicture} + \end{center} + + \begin{choice}[columns=1] + \incorrect $x=2\cos t + 1$, $y=3\sin t + 2$ + \feedback This is an ellipse with centre $(1,2)$ and with axes of + length $4$ in the $x$-direction and $6$ in the $y$-direction. + \begin{center} + \psset{unit=.6cm} + \begin{pspicture}(-2.5,-0.5)(5,5.5) + \psaxes[linecolor=red,linewidth=1pt,labels=none]% + {->}(0,0)(-2.5,-1.5)(5,5) + \parametricplot[linecolor=SkyBlue,linewidth=2pt]{0}{360}% + {t cos 2 mul 1 add t sin 3 mul 2 add} + \end{pspicture} + \end{center} + + \correct $x=3\cos t + 1$, $y=2\sin t + 2$ + \feedback The curve is an ellipse centre (1,2) with axes length 6 + in the $x$ direction and 4 in the $y$ direction. + + \incorrect $x=3\cos t - 1$, $y=2\sin t - 2$ + \feedback This is an ellipse with centre $(-1,-2)$ and with axes + of length $6$ in the $x$-direction and $4$ in the $y$-direction. + \begin{center} + \psset{unit=.6cm} + \begin{pspicture}(-5,-4)(1,2) + \psaxes[linecolor=red,linewidth=1pt,labels=none]% + {<-}(0,0)(-4.5,-5.5)(1,2) + \parametricplot[linecolor=SkyBlue,linewidth=2pt]{0}{360}% + {t cos 3 mul 1 sub t sin 2 mul 2 sub} + \end{pspicture} + \end{center} + + \incorrect $x=2\cos t - 1$, $y=3\sin t - 2$ + \feedback This is an ellipse with centre $(-1,-2)$ and with axes + of length $4$ in the $x$-direction and $6$ in the $y$-direction. + \begin{center} + \psset{unit=.6cm} + \begin{pspicture}(-4,-5)(1,2) + \psaxes[linecolor=red,linewidth=1pt,labels=none]% + {<-}(0,0)(-4.5,-5.5)(1,2) + \parametricplot[linecolor=SkyBlue,linewidth=2pt]{0}{360}% + { t cos 2 mul 1 sub t sin 3 mul 2 sub} + \end{pspicture} + \end{center} + \end{choice} +\end{question} + +\begin{question} + \label{question4} + If the vectors $\vect{a}$ (of magnitude 8 units) and $\vect{b}$ + (of magnitude 3 units) are perpendicular, what is the value + of + \(|\vect{a} -2\vect{b}|\)~? + (Hint: Draw a diagram!) + + \answer[number]{10} units + \whenRight The vectors $\vect{a}$, \(-2\vect{b}\), and + $\vect{a} - 2\vect{b}$ form the sides of a right-angled + triangle, with sides of length $8$ and $6$ and + hypotenuse of length $|\vect{a} -2\vect{b}|$. Therefore + by Pythagoras' Theorem, + \(|\vect{a} -2\vect{b}|=\sqrt{8^2+6^2}=10\). + + \whenWrong Draw a diagram and then use Pythagoras' theorem. +\end{question} +\end{document} +\endinput + +%% End of file `webquiz-manual.tex'. |