From 01c9ee84c09adfc3efe1cd93191a9c0473f985fe Mon Sep 17 00:00:00 2001 From: Norbert Preining Date: Wed, 12 Jul 2017 23:26:39 +0900 Subject: add acrotex --- texmf-dist/doc/latex/acrotex/examples/jquiztst.tex | 284 +++++++++++++++++++++ 1 file changed, 284 insertions(+) create mode 100644 texmf-dist/doc/latex/acrotex/examples/jquiztst.tex (limited to 'texmf-dist/doc/latex/acrotex/examples/jquiztst.tex') diff --git a/texmf-dist/doc/latex/acrotex/examples/jquiztst.tex b/texmf-dist/doc/latex/acrotex/examples/jquiztst.tex new file mode 100644 index 00000000..097882db --- /dev/null +++ b/texmf-dist/doc/latex/acrotex/examples/jquiztst.tex @@ -0,0 +1,284 @@ +\documentclass{article} +\usepackage[fleqn]{amsmath} +\usepackage{graphicx} +\usepackage + [tight, +% dvips, % <- replace with any supported driver + designi,%forpaper, + navibar + ]{web} +\usepackage{exerquiz} +\usepackage[ImplMulti]{dljslib} +\usepackage{pifont} + +\title{Extending the Exerquiz Package Math Fillin Questions} +\author{D. P. Story} +\subject{Sample file} +\keywords{LaTeX, PDF, derivative, calculus, JavaScript} +\university{NORTHWEST FLORIDA STATE COLLEGE\\ +Department of Mathematics} +\email{dpstory@acrotex.net} +\version{3.0} +\copyrightyears{1999-\the\year} +\norevisionLabel + +% Uncomment the lines below to create buttons +% for "Begin Quiz", "End Quiz" instead of links +%\useBeginQuizButton[\textColor{blue}] +\useEndQuizButton[\textColor{blue}] + + +% Uncomment this line to require the student +% to answer all questions in the quiz before +% the quiz is evaluated. +%\renewcommand\minQuizResp{highThreshold} + +\font\hv=cmtt10 \def\hvperk{\char`^} +%\font\hv=hv at 9pt \def\hvperk{\char142 } +{\catcode`\^=\active +\gdef\js{\bgroup\hv\catcode`\^=\active \let^=\hvperk \jsi} +}\def\jsi#1{#1\egroup} + +\def\hr#1{\textcolor{red}{#1}} +\def\hb#1{\textcolor{blue}{#1}} + +\def\D{\dfrac {\text{d}}{\text{d}x}} +\def\dPose#1{$\D#1=$ } + +\begin{document} + +\maketitle +%\tableofcontents + +\section{Math Fill-In Question} + +The current version of \textsf{exerquiz} included only multiple +choice questions. That's all well and good, but instructors would +occasionally like to ask questions that would require the student +to fill in the answer, whether it be numerical or symbolic. + +This new question type, the Math Fill-in, can be used in either +the \texttt{shortquiz} or \texttt{quiz} environment. In the +former case, there is immediate feedback as to right or wrong; in +the latter case, correction is delayed until the quiz is completed +and the user requests to be corrected. + +In either case, you can choose to include the correct answer, +which can be obtained by the click of a button. + +The next section outlines the syntax for the user to enter the +answer. + +\subsection{Instructions} + +When responding to a Math Fill-in question, you answer by typing +in your answer. Use the following notation to enter your answers. + +\begin{itemize} +\item Use \js{*} to indicate multiplication: Type \js{4*x} for $4x$; + +\item Use \js{^} to indicate powers: Type \js{4*x^3} for +$4x^3$; \js{12*x^-6} for $12x^{-6}$. + +\item Use parentheses to delimit the argument of a function; i.e., type +\js{sin(x)} rather than \js{sin x}. + +\item Use parentheses to define the {\it scope\/} of an operation: For +example, type \js{4*x*(x^2+1)^3} for $4x(x^2+1)^3$; \js{ 4^(2*x+1)} for +$4^{2x+1}$; \js{(sin(x))^2} for $(\sin(x))^2$. {\it Do not\/} type +\js{sin^2(x)} for $\sin^2(x)$, type \js{(sin(x))^2} instead. + +\item You can also use brackets \js{[ ]} or braces \js{\{ \}}, +to delimit a mathematics expression. + +\item Functions you may use: +\begin{itemize} + \item Trig: \js{sin}, \js{cos}, \js{tan}, \js{cot}, \js{sec}, \js{csc}; + \item Inverse Trig: \js{asin}, \js{acos}, \js{atan}; + \item Log: \js{ln} (natural log), or use \js{\tt log}; e.g. \js{ln(x)}; + \item Exponential: The natural exponential function, $e^x$, + can be entered as \js{exp(x)} or as \js{e^x}. + \item The absolute function, \js{abs($\cdot$)} can also be written + in the usual way \js{|$\cdot$|}; thus, you can type either + \js{abs(x)} or \js{|x|}. + \item Misc.: \js{sqrt}, usage \js{sqrt(x)} for $\sqrt{x}$ (or, use + exponential notation: \js{x^(1/2)}). +\end{itemize} +\end{itemize} + +When you enter your response, some attempt will be made to +determine whether the response is a valid mathematical expression. +For example, if you say \js{san(x)}, the function `\js{san}' will +not be recognized as a valid mathematical function; an error +message is generated, and the user is not penalized for a possible +typing error. The JavaScript routines will also check for +unbalanced parentheses; thus, \js{((x^4+1) + sin(x)^2} will be +flagged as a syntax error. + +\medskip\noindent\hr{\textbf{Important:}} When you enter a function +of a single variable---the only type currently supported---use as +the independent variable implied by the statement of the problem. +If the problem statement involves the variable $x$, use \js{x} as +the independent variable; if the problem statement uses $t$, use +\js{t} in your answer. To enter a function of $t$ when a function +of $x$ is expected will, no doubt, result in missed problem. + +\subsection{Answers and Solutions} + +For fill-in questions, if the document author so wishes, answers +and (optionally) solutions can be provided. The author provides +an ``Ans'' button. This button is visible for a \texttt{shortquiz} +and hidden for a \texttt{quiz}. + +For a \texttt{shortquiz}, the ``Ans'' button can be clicked at +anytime. In the case of a \texttt{quiz}, after a \texttt{quiz} has +been completed, the hidden ``Ans'' buttons appear. Click on the +button to get an answer to the problem. + +Concerning solutions. If the ``Ans'' button has a green boundary, +that means that question has a solution. Performing a +\texttt{Shift-Click} on the ``Ans'' button causes the viewer to +jump to the solution. For multiple choice questions, the boundary +for the correct answer is colored green as well. Click on the +answer field to jump to the solution. + +Solutions to a \texttt{quiz} can be protected from prying eyes +with the \texttt{\string\NoPeeking} command. See the +\hyperref[s:quiz] {Section~\ref*{s:quiz}} for an example and a +brief discussion. + +\subsection{Practice Example} + +\noindent\hb{\textbf{Example:}} Consider the following sample question. +Practice by typing in the answer: +\js{2*x^3*(x^4+1)^(-1/2)} + +\medskip +\begin{oQuestion}{example} + +\def\RBW{120pt}\def\DefaultHeightOfWidget{16pt}\def\TBW{18pt} +\edef\STRUT{\noexpand\rule[\ifxetex-1bp\else-5bp\fi]{0pt}{0pt}} + +\noindent$\dfrac{\text{d}}{\text{d}x} {(x^4 + 1)^{1/2}} = +\underset{\text{\rotatebox{-45}{\rlap{The Response Box}}}} + {\underbrace{\STRUT\efKern{1bp}{0bp}\RespBoxMath{2*x^3*(x^4+1)^(-1/2)}{4}{.0001}{[1,2]}\relax\efKern{1bp}{0bp}}}\kern-1bp +\underset{\text{\rotatebox{-45}{\rlap{Answer Button}}}} + {\underbrace{\STRUT\efKern{1bp}{0bp}\CorrAnsButton{2*x^3*(x^4+1)^(-1/2)}\efKern{1bp}{0bp}}}\kern-1bp +\underset{\text{\rotatebox{-45}{\rlap{Num.\ of incorrect tries}}}} + {\underbrace{\STRUT\efKern{1bp}{0bp}\sqTallyBox\relax\efKern{1bp}{0bp}}}\olBdry\efKern{-1bp}{0bp}\sqClearButton$ +\end{oQuestion} + +\vspace{5\bigskipamount} + +When a correct answer is input into the response box, the color of +the border surrounding the response box changes to \textcolor{webgreen}{green}. +The answer can also be expressed correctly using the \js{sqrt} +operator, try modifying the answer using \js{sqrt}. + +\newpage +\subsection{Short Quiz Environment}\label{s:shortquiz} + +%In the following problems, answer by typing in your +%response using the correct syntax. + +Problem \#2 illustrates how to define a problem with a variable +other than the default $x$. Click on the ``Ans'' button to get +answers, shift-click on ``Ans'' buttons that have a green boundary +to get a solution. + +\begin{shortquiz*}[answer] Answer each of the following. Passing is 100\%. + +\answersEndHook{\hfill\makebox[0pt][r]{\sqTallyBox}} + +\begin{questions} + +\item If $f$ is differentiable, then $f$ is continuous. +\begin{answers}[diff]{4} +\Ans1 True & \Ans0 False +\end{answers} +\begin{solution} +Yes, differentiability at a point implies continuity at that point. +\end{solution} + +%If you want another variable other than $x$, then specify the variable immediately +%following the correct answer in the \RespBoxMath command. Following the optional +%variable specification is the optional named destination for the solution the +%the problem. + +\item $\dfrac{\text{d}}{\text{d}t} {4 t^{-1/2}} + = \RespBoxMath{-2*t^(-3/2)}(t)[diffprob]{4}{.0001}{[1,2]}$\hfill +\CorrAnsButton{-2*t^(-3/2)}\cgBdry\sqTallyBox +\begin{solution} +We use the power rule: +\begin{equation*} + 4 t^{-1/2} + = 4(-1/2) t^{-3/2} + = \boxed{-2 t^{-3/2}} +\end{equation*} +Or, in the syntax of this quiz: \js{-2*t^(-3/2)}. +\end{solution} + +\item \dPose{e^{x^2}}\RespBoxMath{2*x*e^(x^2)}{4}{.0001}{[0,1]}\hfill +\CorrAnsButton{2*x*e^(x^2)}\olBdry\sqTallyBox + +\item $\displaystyle\int_0^\pi \sin(x)\,dx + = \RespBoxMath{2}{1}{.0001}{[0,1]}$\hfill\CorrAnsButton{2}\olBdry\sqTallyBox +\end{questions} +\end{shortquiz*} + +\begin{flushright} +\sqClearButton\olBdry\sqTallyTotal +\end{flushright} + +\subsection{Quiz Environment}\label{s:quiz} + +The example below illustrates multiple choice questions +and objective math questions in the \texttt{quiz} environment +and is protected by the \texttt{\string\NoPeeking} +command. First, browse the solutions at the end +of the file, when you encounter a solution protected by +\texttt{\string\NoPeeking}, see what happens. +Click on the ``Ans'' button to get answers, shift-click on ``Ans'' +buttons that have a green boundary to get a solution. + +\NoPeeking % or put in preamble + +\begin{quiz}{mathquiz} Answer each of the following. Passing +is 100\%. + +\begin{questions} + +\item If $\lim_{x\to a} f(x) = f(a)$, then we say that $f$ is\dots +\begin{answers}[cont]{3} +\Ans0 differentiable &\Ans1 continuous &\Ans0 integrable +\end{answers} +\begin{solution} +A function $f$ is said to be continuous at $x=a$ if $x\in\operatorname{Dom}(f)$, +$\lim_{x\to a} f(x) $ exists and $\lim_{x\to a} f(x) = f(a)$. +\end{solution} + +\item $\cos(\pi) = \RespBoxMath{-1}[cospi]{1}{.0001}{[2,4]}\cgBdry\kern1bp\CorrAnsButton{-1}$ +\begin{solution} +Of course, everyone knows that $\cos(\pi) = -1 $. +\end{solution} + +\item \dPose{e^{x^2}}\RespBoxMath{2*x*e^(x^2)}[diffexp]{4}{.0001}{[0,1]}\cgBdry\kern1bp +\CorrAnsButton{2*x*e^(x^2)} +\begin{solution} +First apply the rule for differentiating an the natural exponential, then apply +the power rule: +\begin{align*} + \dfrac d{dx}\,e^{x^2} & + = e^{x^2}\,\dfrac d{dx}\,x^2 \\& + = e^{x^2}\,(2x) \\& + = 2x e^{x^2} +\end{align*} +In the syntax of this document, \js{2*x*e^(x^2)}. +\end{solution} +\end{questions} +\end{quiz}\quad\ScoreField\currQuiz\olBdry\eqButton\currQuiz + +\noindent +Answers: \AnswerField\currQuiz + +\end{document} -- cgit v1.2.3