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Working with MUMIE as teacher
Using MUMIE via plugin in local LMS
FAQ
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Working with MUMIE as author
Working with MUMIE as teacher
Using MUMIE via plugin in local LMS
FAQ
The content of every generic TeX problem is included in a problem
environment which must be contained only once in TeX files.
The use of the \usepackage
declaration is mandatory too. WebMiau creates it by using the code snippet creator.
Every question is defined in a question
environment inside problem. The structure looks as following:
12345678910 \usepackage{mumie.genericproblem}
\begin{problem}
\begin{question} % start of question 1
...
\end{question}
\begin{question} % start of question 2
...
\end{question}
\end{problem}
Within the question environment, one must define a type using the \type{...}
command.
\type{...}
can be set for the whole group of questions, but can also be set individually for each question and answer.
The position of the command determines how it works.
123456789101112 \begin{problem}
\type{...} % set for all questions
\begin{question}
\type{...} % or set only for this question and all their answers
\begin{answer}
\type{...} % or set only for this answer
\end{answer}
\end{question}
\end{problem}
Type | Preview |
---|---|
input.number more |
|
input.finite-number-set more |
|
input.function Compare the user's answer numerically with the pre-given solution more |
|
input.interval more |
|
input.cases.function Designed for case differentiations of e.g. absolute value functions. Note that you can only use this input type in an answer environment. more |
|
input.matrix If the solution to a question is a row vector, a column vector or a matrix, the generic problem is of the type input.matrix. more |
|
input.text examples in WebMiau or the full article here |
|
input.truth-table more |
|
mc.matrix example in WebMiau or the full article here |
|
mc.unique more |
|
mc.yesno more |
|
mc.multiple more |
Overview input field questions
All variables and functions are interpreted in a number field which can be defined by the \field{...}
command. It can take one of the following values:
number field | Description |
---|---|
real | real numbers (i.e. double values); this is the default value if the \field{number field} command is omitted |
integer | integer numbers |
rational | rational numbers |
complex | complex numbers with real numbers as real and imaginary parts |
complex-rational | complex numbers with rational numbers as real and imaginary parts |
123456789101112 \begin{problem}
\field{...} % set for all questions
\begin{question}
\field{...} % or set only for this question and all their answers
\begin{answer}
\field{...} % or set only for this answer
\end{answer}
\end{question}
\end{problem}
Questions can become dynamic and personalised through the use of variables and functions. These must be defined
in a variables environment
The environment \begin{variables} ... \end{variables}
can be set for the whole group of questions, but can also be
set individually for each question. The position of the command determines how it works.
12345678910111213141516 \begin{problem}
\begin{variables} % set for all questions
...
\end{variables}
\begin{question}
\begin{variables} % set only for this questions
...
\end{variables}
\begin{answer}
\end{answer}
\end{question}
\end{problem}
1234567891011 \begin{question}
\begin{variables}
\number{a}{12}
\number{b}{4}
\number{c}{10}
\number{d}{5}
\function{f}{a/b}
\function{g}{c/d}
\end{variables}
...
\end{question}
Will result in variables
Command | Description | Details |
---|---|---|
\number |
A fixed number variable, this can be any kind of number. The field command determines how the number will be interpreted. | |
\function |
A function definition, the definition may include variables and other functions. When an included variable is not defined, it will be a free variable. Again, the field command determines how the numbers within the function will be interpreted. |
function |
\derivative |
Creates a new function representing the derivative of the expression/variable that was passed into it. | derivative |
\substitute |
Creates a new function that is the composition of two other functions. | substitute |
\randint |
A random integer number, including zero (same as randint[z]) | |
\randint[Z] |
A random integer number, excluding zero | Random numbers |
\randdouble |
A random double number, including zero | Random numbers |
\randrat |
A random rational number, including zero | Random numbers |
\drawFromSet |
Randomly draw a number (or string) from a set | Random numbers |
\randadjustIf |
Random variables can be adjusted to satisfy a specific constraint. | randadjustIf |
All variables can be used in texts (e.g. question task, answer text) by using the tex command \var
with the name of the variable as argument:
12345678910111213 \begin{question}
\begin{variables}
\function{f}{a/3}
\end{variables}
\text{Determine the decimal expansion of $\var{f}$ correct to three decimal places.}
\begin{choice}
\text{$\var{solution1}$}
\end{choice}
\end{question}
Random numbers can be used instead of fixed numbers to personalize problem data.
Example
123456789 \begin{question}
\begin{variables}
\randint[Z]{x1}{-10}{10} %\randint[Z]{name}{min}{max}
\randdouble{x2}{0}{1}
\randrat{name}{minNumerator}{maxNumerator}{minDenominator}{maxDenominator}
\end{variables}
\end{question}
\drawFromSet Draw randomly a number (or string) from a set
12345678910 \begin{question}
\begin{variables}
\drawFromSet{a}{1,2,3,4,5,6}
\drawFromSet{b}{1/2,5,1.3,9/11,42}
\drawFromSet[separator=;]{c}{1;2.1;3.5;9}
\drawFromSet[separator=; type=string]{d}{hello;world}
\end{variables}
\end{question}
Instead of using random values for numbers it is possible to define several sets of values inside a so called variable pool.
12345678910111213141516171819 \begin{question}
\begin{pool}
\begin{variables}
\randint{a}{1}{3}
\drawFromSet{b}{1,2,3}
\randadjustIf{a,b}{a = b}
\function[calculate]{f}{2*a+b}
\end{variables}
\begin{variables}
\randint{a}{-3}{-1}
\drawFromSet{b}{-1,-2,-3}
\randadjustIf{a,b}{a = b}
\function[calculate]{f}{2*a-b}
\end{variables}
\end{pool}
\end{question}
1234567891011121314151617 \begin{question}
\begin{pool}
\begin{variables}
\number{a}{7}
\number{b}{3}
\end{variables}
\begin{variables}
\number{a}{5}
\number{b}{6}
\end{variables}
\end{pool}
\end{question}
With \explanation
the author can define a feedback that the user gets if an answer wasn't (completely) correct.
Usage: \explanation[optional condition]{text}
.
The automatic correction of generic TeX problems can take into account consecutive errors. This feature is only
available for questions of type input.number
or input.function
.
Consider a problem with several questions, all of them of type input.number
or all of them of type input.function
.
Assume the solution of the n-th question depends on the solution of the m-th question for some question numbers $$m$$,$$n$$
with $$m < n$$. Say the student's solution of the m-th question was wrong. Then the student used a wrong input for the
n-th question. Assume that, apart from starting with a wrong input, the student solved the n-th question correctly.
This is what we call a consecutive error.
Taking into account consecutive errors means the student doesn't get the points for the m-th question, but the solution
of the n-th question is counted as correct and the points are awarded.
Taking into account consecutive errors works as follows. The questions are corrected one after the other.
For each question, the following happens:
\earlierAnswer
command described below.The \earlierAnswer
command has the following form:
\earlierAnswer{VARIABLE}{QUESTION_NUMBER,ANSWER_NUMBER}
where VARIABLE
is the name of the variable defined on global (not question or answer) level, QUESTION_NUMBER
the number of the question and ANSWER_NUMBER
the number of the answer.
The answer number and the comma before it can be omitted:
\earlierAnswer{VARIABLE}{QUESTION_NUMBER}
In that case, the answer number defaults to 1.
Optionally you can set the QUESTION_NUMBER
to -1 to refer to a previous answer in the same question. This is
needed when you for example use \randomquestionpool
(see Randomquestionpool) at the begin of a problem to make a selection:
\earlierAnswer{VARIABLE}{-1,ANSWER_NUMBER}
The \earlierAnswer
command is only allowed in the "variables" environment of a question.
\earlierAnswer
to refer to an earlier question in a problem that has
\randomquestionpool
enabled! Problems with random question pools can only use \earlierAnswer
for subtasks within the same question, by using the value -1 for the question number.Below is a complete example of a problem. The problem is trivial: a random number Q is given, and the student has to
compute $$x = Q + 1$$ in the first question, $$y = x + 1$$ in the second, and $$z = y + 1$$ in the third. The second
and third question depend on the solutions of previous questions. To take this into account, we added \earlierAnswer
commands to bind variables to earlier answers. In the second question, for example, we bound x to the first answer of
question 1.
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566 \usepackage{mumie.genericproblem}
\title{Scratch}
\begin{problem}
\begin{variables}
\randint{Q}{-4}{4}
\function{x}{Q+1}
\function{y}{x+1}
\function{z}{y+1}
\end{variables}
\begin{question}
\text{\textbf{Step 1}\\ \textit{Let Q = $\var{Q}$. Compute x = Q + 1:}}
\explanation{Simply add one}
\type{input.number}
\precision{3}
\field{real}
\begin{answer}
\text{ x = }
\solution{x}
\end{answer}
\end{question}
\begin{question}
\begin{variables}
\earlierAnswer{x}{1,1}
\end{variables}
\text{\textbf{Step 2}\\ \textit{Compute y = x + 1:}}
\explanation{Simply add one}
\type{input.number}
\precision{3}
\field{real}
\begin{answer}
\text{ y = }
\solution{y}
\end{answer}
\end{question}
\begin{question}
\begin{variables}
\earlierAnswer{x}{1,1}
\earlierAnswer{y}{2,1}
\end{variables}
\text{\textbf{Step 3}\\ \textit{Compute z = y + 1:}}
\explanation{Simply add one}
\type{input.number}
\precision{3}
\field{real}
\begin{answer}
\text{ z = }
\solution{z}
\end{answer}
\end{question}
\end{problem}
Updated by Greiser, 4 years, 4 months ago – 213c84c