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There are two fields which allow you to define and manipulate computer algebra system variables. These are called the Question Variables and Feedback variables.
The field is a string which contains a list of assignments of the form
key : value;
p : (x-1)^3;
key is the name of a variable local to the question, and
value is an expression in Maxima's language.
When evaluated, this list is passed to the CAS, and evaluated in order. The value obtained for each key will be stored and used later, for example in the question marking routines.
The keys need not be unique, although only the last value will be available for use later.
These fields are known as KeyVal fields.
Computer algebra systems each use a different syntax to denote the assignment of a value to a variable.
For example, Maple and Derive use
:=. Mathematica uses
:=, depending on when the assignment is to take place.
Maxima uses the form
key:value, which is unusual and not intuitive.
:= to denote function definition, e.g.
STACK uses Maxima's assignment rules.
- Items are separated by either a newline or
;at the end of each statement is optional, but makes it easier to cut and paste into a Maxima session. Please add these.
- If you type a string not in the form
key : value, a variable name such as
dumvar3will be assigned automatically to keep track of the command in the list of question variables.
keymust be a simple variable name. It must start with letters, and can contain numbers and underscore characters.
- If a student uses a variable which has been assigned a value in the question variables then the attempt will be rejected as invalid. You can use the "allowed words" to enable students' expressions with question variables to be considered valid.
Hence, it is a sensible idea to use variable names which are not used as parameters in the question, or likely to occur in the student's answer. For example if you set an integration question then you should avoid using the variable
c, otherwise students won't be able to write
+cin the normal way to indicate a constant of integration.
- You can include C-style block comments for increased clarity, and these may appear on separate lines
dice : rand(6) + 1; /* roll it! */
- Do not define a feedback variable with the same name as an input. For example, if your input is
ans1then you cannot define a feedback variable
ans1:exdowncase(ans1). Choose something different, e.g.
The question variables are evaluated when a variant of a question is created. The displayed forms are available to all other CASText fields and the values to other parts of the question, e.g.
- Teacher's answers in inputs are defined in terms of question variables.
- Question note.
- General feedback (also known as the worked solution).
- All fields in each of the potential response tree.
- Each input when testing the item.
- Question variables are not available to inputs when a student is validating their answer, unless special ``context variables'' are defined.
If the following commands appear within the question variables they will be available in every part of the question, in particular these commands will affect how students' input is validated. This enables teachers to affect the display of the student's answer validation, and add assumptions to PRTs.
ordergreat. These commands may only appear once each in any question.
texput, see notes directly below.
This collection of special variables are called "context variables".
Only single texput commands are gathered into the context variables. You cannot use other variables or other functions defined in the question variables. So,
texput(blob, "\\diamond") is fine, but passing a function to texput to display more complex output is not currently supported.
For example, to redefine how the logarithm is displayed, use
texput(log, "\\log ", prefix);.
It is possible to use an unnamed
lambda function. E.g. if you have a function
texput(tup, lambda([z], block([a,b], [a,b]:args(z), sconcat("\\left[",tex1(a),",",tex1(b),"\\right)"))));
tup(a,b) as .
(This feature is only available after STACK 4.3.7).
The feedback variables form one field in the potential response tree.
When using the potential response tree it is often very useful to manipulate the student's answer before applying any of the Answer tests. This gives the opportunity to perform sophisticated mathematical operations.
Before each answer test is applied the following list of variables is assembled and evaluated
- The values of the question variables.
- The values of each inputs.
- The feedback variables.
The values of the evaluated feedback variables can be used as expressions in the answer tests and in the feedback.
Note, you cannot redefine the value of an input as a key in the feedback variables. e.g. you cannot have something like
ans1:ans1+1. You must use a new variable name. When an answer test is evaluated, if the SA or TA field is exactly the name of an input then the raw student's value is used, and not the value from the feedback variables. This is because some of the answer tests require exactly what is typed (e.g. trailing zeros) and not the value through the CAS. To avoid this problem authors must use new variable names to distinguish between the actual input typed by the student and any calculated value.
Creating variable names
Teachers may not use the Maxima 'concat' command, so you cannot create variable names of your own using code of the following form.
If you want to start numbering at 1 instead of 0, use
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