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Quick Checks
Overview
Quick-Checks are small problems embedded in other documents. The user types the answer into one or more input fields,
and clicks a "Check" button to see whether the answer is correct or not.
The user can also click a "Show solution" button to see the solution and, if existing, an explanation.
In contrast to normal problems, no data is stored on the server, neither personalized data, nor answers, nor corrections.
The reader of this document is supposed to have a basic knowledge of generic problems.
TeX description
The TeX description of Quick-Checks is very similar to that of generic TeX problems. Here is an example:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 | \begin{quickcheck}
\type{input.number}
\displayprecision{3}
\correctorprecision{3}
\begin{variables}
\randint{num}{1}{6}
\function[calculate]{deg}{num/6*180}
\function[calculate]{rad}{deg/180*pi}
\end{variables}
\text{
Wie groß ist der Winkel $\var{deg}^\circ$ im Bogenmaß?
Runden Sie Ihr Ergebnis auf drei Stellen hinter dem Komma.
Antwort: \ansref
}
\explanation{
Bogenmaß = Gradmaß / 180 $\cdot$ $\pi$, also $\var{deg}/180\cdot\pi$, also, da $\pi = 3.14159\ldots$,
Bogenmaß gerundet auf drei Stellen = $\var{rad}$.
}
\begin{answer}
\solution{rad}
\end{answer}
\end{quickcheck}
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In the browser, this looks as follows:
If you type in the answer and click the check button, the system will mark correct and wrong answers as follows:
Correct answer:
Wrong answer:
Clicking the "Show solution" button will show the correct answer and, if existing, the explanation:
The "Show solution" button changes to a "Hide solution" button by this, which hides these things again.
more examples
Pools
Quick-Checks provide a functionality similar to random question pools in generic problems.
You can define a "pool" of Quick-Checks from which one or more are selected randomly. All Quick-Checks of the
pool must be enclosed in a quickcheckcontainer
environment. The selection is controlled by one or
more \randomquickcheckpool
commands, which are completely analog to the \randomquestionpool
commands in generic problems:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 | \begin{quickcheckcontainer}
\randomquickcheckpool{1}{5}
\randomquickcheckpool{6}{10}
\begin{quickcheck}
...
\end{quickcheck}
\begin{quickcheck}
\explanation{...}
\end{quickcheck}
...
\end{quickcheckcontainer}
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List of TeX commands and environments
There are five Quick-Checks environments:
quickcheck
-- Top-level environment of a Quick-Checks
quickcheckcontainer
-- Container for Quick-Checks that should form a pool
variables
-- Container for variables; same as in generic problems
choices
-- multiple choice questions
choice
-- one choice in a multiple choice questions
The Quick-Checks commands are:
\ansref
\checkAsFunction[<options>]{<variable>}{<min>}{<max>}{<steps>}
\correctorprecision{<number>}
\derivative[<actions>]{<variable>}{<expression>}{<free_variable>}
\displayprecision{<number>}
\explanation{...}
\field{<field>}
\function[<actions>]{<variable>}{<expression>}
\number{<variable>}{<value>}
\drawFromSet[<options>]{variable}{set}
\precision{<number>}
\randadjustIf{<variables>}{<condition>}
\randdouble{<name>}{<min>}{<max>}
\randint[<nonzero>]{<name>}{<min>}{<max>}
\randomquickcheckpool{<min>}{<max>}
\randrat{<name>}{<minNumerator>}{<maxNumerator>}{<minDenominator>}{<maxDenominator>}
\solution{<solution>}
\solution[compute]{<solution>}
\substitute[<actions>]{<variable>}{<expression>}{<free_variable>}{<substitute>}
\text{...}
\type{<type>}
\var{<variable>}
All commands have the same meaning as in generic problems.
The content of \text{...}
and \explanation{...}
may contain arbitrary JMmtex code, including tables, lists, images, etc.
_type=string_ for \drawFromSet
is not very well supported for Quick-Checks at the moment. That's due to the fact that
variables outside a math environment are not supported at the moment in a Quick-Checks environment.
Currently, the input types input.number
and input.function
are supported.
Alternatively you can use multiple choice questions.