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elc
moodle-qtype_stack
Commits
a72d0f91
Commit
a72d0f91
authored
13 years ago
by
Tim Hunt
Browse files
Options
Downloads
Patches
Plain Diff
Test questions 4 and 5.
Plus a bit of error handling in question.php.
parent
70495fca
No related branches found
No related tags found
No related merge requests found
Changes
3
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Showing
3 changed files
question.php
+6
-1
6 additions, 1 deletion
question.php
simpletest/helper.php
+156
-8
156 additions, 8 deletions
simpletest/helper.php
stack/cas/simpletest/test.keyval.class.php
+1
-2
1 addition, 2 deletions
stack/cas/simpletest/test.keyval.class.php
with
163 additions
and
11 deletions
question.php
+
6
−
1
View file @
a72d0f91
...
...
@@ -66,7 +66,12 @@ class qtype_stack_question extends question_graded_automatically {
$questionvars
=
new
stack_cas_keyval
(
$this
->
questionvariables
);
$qtext
=
new
stack_cas_text
(
$this
->
questiontext
,
$questionvars
->
get_session
(),
$seed
,
't'
,
false
,
true
);
//TODO error trapping if a question version breaks things.
if
(
$qtext
->
get_errors
())
{
//TODO better error trapping that this.
throw
new
Exception
(
'Error rendering question text: '
.
$qtext
->
get_errors
());
}
$step
->
set_qt_var
(
'_questiontext'
,
$qtext
->
get_display_castext
());
$step
->
set_qt_var
(
'_session'
,
$qtext
->
get_session
());
}
...
...
This diff is collapsed.
Click to expand it.
simpletest/helper.php
+
156
−
8
View file @
a72d0f91
...
...
@@ -34,7 +34,14 @@ defined('MOODLE_INTERNAL') || die();
*/
class
qtype_stack_test_helper
extends
question_test_helper
{
public
function
get_test_questions
()
{
return
array
(
'test1'
,
'test0'
,
'test2'
,
'test3'
);
return
array
(
'test1'
,
// One input, one PRT, randomised. (Integrate (v - a) ^ n, a, n small random ints.)
'test0'
,
// One input, one PRT, not randomised. (1 + 1 = 2.)
'test2'
,
// Two inputs, one PRT, not randomises. (Expand (x - 2)(x - 3).)
'test3'
,
// Four inputs, four PRTs, not randomised. (Even and odd functions.)
'test4'
,
// One input, one PRT, not randomised, has a plot. (What is the equation of this graph? x^2.)
'test5'
,
// Three inputs, three PRTs, one with 4 nodes, randomised. (Three steps, rectangle side length from area.)
);
//'test4', 'test5', 'test6', 'test7', 'test8', 'test9');
}
...
...
@@ -73,7 +80,7 @@ class qtype_stack_test_helper extends question_test_helper {
}
/**
* @return qtype_stack_question the question from the test
0
.xml file.
* @return qtype_stack_question the question from the test
1
.xml file.
*/
public
static
function
make_stack_question_test1
()
{
question_bank
::
load_question_definition_classes
(
'stack'
);
...
...
@@ -113,7 +120,7 @@ class qtype_stack_test_helper extends question_test_helper {
}
/**
* @return qtype_stack_question the question from the test
0
.xml file.
* @return qtype_stack_question the question from the test
2
.xml file.
*/
public
static
function
make_stack_question_test2
()
{
question_bank
::
load_question_definition_classes
(
'stack'
);
...
...
@@ -150,7 +157,7 @@ class qtype_stack_test_helper extends question_test_helper {
}
/**
* @return qtype_stack_question the question from the test
0
.xml file.
* @return qtype_stack_question the question from the test
3
.xml file.
*/
public
static
function
make_stack_question_test3
()
{
question_bank
::
load_question_definition_classes
(
'stack'
);
...
...
@@ -190,35 +197,39 @@ class qtype_stack_test_helper extends question_test_helper {
'boolean'
,
'ans4'
,
'true'
);
$q
->
prts
=
array
();
$feedbackvars
=
new
stack_cas_keyval
(
'sa = subst(x=-x,ans1)+ans1'
);
$sans
=
new
stack_cas_casstring
(
'sa'
,
't'
);
$tans
=
new
stack_cas_casstring
(
'0'
,
't'
);
$node
=
new
stack_potentialresponse_node
(
$sans
,
$tans
,
'AlgEquiv'
,
null
);
$node
->
add_branch
(
0
,
'='
,
0
,
''
,
-
1
,
''
,
'odd-0-0'
);
$node
->
add_branch
(
1
,
'='
,
1
,
''
,
-
1
,
''
,
'odd-0-1'
);
$feedbackvars
=
new
stack_cas_keyval
(
'sa = subst(x=-x,ans1)+ans1'
);
$q
->
prts
[
'PotResTree_odd'
]
=
new
stack_potentialresponse_tree
(
'PotResTree_odd'
,
''
,
true
,
0.25
,
$feedbackvars
->
get_session
(),
array
(
$node
));
$feedbackvars
=
new
stack_cas_keyval
(
'sa = subst(x=-x,ans2)-ans2'
);
$sans
=
new
stack_cas_casstring
(
'sa'
,
't'
);
$tans
=
new
stack_cas_casstring
(
'0'
,
't'
);
$node
=
new
stack_potentialresponse_node
(
$sans
,
$tans
,
'AlgEquiv'
,
null
);
$node
->
add_branch
(
0
,
'='
,
0
,
''
,
-
1
,
''
,
'odd-0-0'
);
$node
->
add_branch
(
1
,
'='
,
1
,
''
,
-
1
,
''
,
'odd-0-1'
);
$feedbackvars
=
new
stack_cas_keyval
(
'sa = subst(x=-x,ans2)-ans2'
);
$q
->
prts
[
'PotResTree_even'
]
=
new
stack_potentialresponse_tree
(
'PotResTree_even'
,
''
,
true
,
0.25
,
$feedbackvars
->
get_session
(),
array
(
$node
));
$feedbackvars
=
new
stack_cas_keyval
(
'sa1 = subst(x=-x,ans3)+ans3; sa2 = ans3-subst(x=-x,ans3)'
);
$sans
=
new
stack_cas_casstring
(
'sa1'
,
't'
);
$tans
=
new
stack_cas_casstring
(
'0'
,
't'
);
$node0
=
new
stack_potentialresponse_node
(
$sans
,
$tans
,
'AlgEquiv'
,
null
);
$node0
->
add_branch
(
0
,
'='
,
0
,
''
,
1
,
'Your answer is not an odd function. Look, \[ f(x)+f(-x)=@sa1@ \neq 0.\]'
,
'oddeven-0-0'
);
$node0
->
add_branch
(
1
,
'='
,
0.5
,
''
,
1
,
''
,
'oddeven-0-1'
);
$sans
=
new
stack_cas_casstring
(
'sa2'
,
't'
);
$tans
=
new
stack_cas_casstring
(
'0'
,
't'
);
$node1
=
new
stack_potentialresponse_node
(
$sans
,
$tans
,
'AlgEquiv'
,
null
);
$node1
->
add_branch
(
0
,
'+'
,
0
,
''
,
-
1
,
'Your answer is not an even function. Look, \[ f(x)-f(-x)=@sa2@ \neq 0.\]'
,
'oddeven-1-0'
);
$node1
->
add_branch
(
1
,
'+'
,
0.5
,
''
,
-
1
,
''
,
'EVEN'
);
$feedbackvars
=
new
stack_cas_keyval
(
'sa1 = subst(x=-x,ans3)+ans3; sa2 = ans3-subst(x=-x,ans3)'
);
$q
->
prts
[
'PotResTree_oddeven'
]
=
new
stack_potentialresponse_tree
(
'PotResTree_oddeven'
,
''
,
true
,
0.25
,
$feedbackvars
->
get_session
(),
array
(
$node0
,
$node1
));
...
...
@@ -234,4 +245,141 @@ class qtype_stack_test_helper extends question_test_helper {
return
$q
;
}
/**
* @return qtype_stack_question the question from the test4.xml file.
*/
public
static
function
make_stack_question_test4
()
{
question_bank
::
load_question_definition_classes
(
'stack'
);
$q
=
new
qtype_stack_question
();
test_question_maker
::
initialise_a_question
(
$q
);
$q
->
name
=
'test-4'
;
$q
->
questionvariables
=
'p = x^2'
;
$q
->
questiontext
=
'Below is a sketch of a graph. Find an algebraic expression which represents it.
@plot(p,[x,-2,2])@
$f(x)=$#ans1#.
<IEfeedback>ans1</IEfeedback>
<PRTfeedback>plots</PRTfeedback>'
;
$q
->
generalfeedback
=
'The graph @plot(p,[x,-2,2])@ has algebraic expression \[ f(x)=@p@. \]'
;
$q
->
qtype
=
question_bank
::
get_qtype
(
'stack'
);
$q
->
interactions
=
array
();
$q
->
interactions
[
'ans1'
]
=
stack_interaction_controller
::
make_element
(
'algebraic'
,
'ans1'
,
'x^2'
,
array
(
'boxWidth'
=>
15
));
$q
->
prts
=
array
();
$sans
=
new
stack_cas_casstring
(
'ans1'
,
't'
);
$tans
=
new
stack_cas_casstring
(
'x^2'
,
't'
);
$node
=
new
stack_potentialresponse_node
(
$sans
,
$tans
,
'AlgEquiv'
,
null
);
$node
->
add_branch
(
0
,
'='
,
0
,
''
,
-
1
,
'Your answer and my answer are plotted below. Look they are different! @plot([p,ans1],[x,-2,2])@'
,
'plots-0-0'
);
$node
->
add_branch
(
1
,
'='
,
1
,
''
,
-
1
,
''
,
'plots-0-1'
);
$q
->
prts
[
'plots'
]
=
new
stack_potentialresponse_tree
(
'plots'
,
''
,
true
,
1
,
null
,
array
(
$node
));
$q
->
options
=
new
stack_options
();
return
$q
;
}
/**
* @return qtype_stack_question the question from the test5.xml file.
*/
public
static
function
make_stack_question_test5
()
{
question_bank
::
load_question_definition_classes
(
'stack'
);
$q
=
new
qtype_stack_question
();
test_question_maker
::
initialise_a_question
(
$q
);
$q
->
name
=
'test-5'
;
$q
->
questionvariables
=
'rn = -1*(rand(4)+1); rp = 8+rand(6); ar = rn*rp; sg = rn+rp; '
.
'ta1 = x*(x+sg)=-ar; ta2 = x*(x-sg)=-ar; tas = setify(map(rhs,solve(ta1,x)))'
;
$q
->
questiontext
=
'<p>A rectangle has length @sg@cm greater than its width.
If it has an area of $@abs(ar)@cm^2$, find the dimensions of the rectangle.</p>
<p>1. Write down an equation which relates the side lengths to the
area of the rectangle.<br />
#ans1#
<IEfeedback>ans1</IEfeedback>
<PRTfeedback>eq</PRTfeedback></p>
<p>2. Solve your equation. Enter your answer as a set of numbers.<br />
#ans2#
<IEfeedback>ans2</IEfeedback>
<PRTfeedback>sol</PRTfeedback></p>
<p>3. Hence, find the length of the shorter side.<br />
#ans3# cm
<IEfeedback>ans3</IEfeedback>
<PRTfeedback>short</PRTfeedback></p>'
;
$q
->
generalfeedback
=
'If $x$cm is the width then $(x+@sg@)$ is the length.
Now the area is $@abs(ar)@cm^2$ and so
\[ @x*(x+sg)=-ar@.\]
\[ @x^2+sg*x+ar@=0\]
\[ @(x+rp)*(x+rn)=0@ \]
So that $x=@-rp@$ or $x=@-rn@$. Since lengths are positive quantities $x>0$
and we discard the negative root. Hence the length of the shorter side is
$x=@-rn@$cm.'
;
$q
->
qtype
=
question_bank
::
get_qtype
(
'stack'
);
$q
->
questionnote
=
'@ta1@, @rp@.'
;
$q
->
interactions
=
array
();
$q
->
interactions
[
'ans1'
]
=
stack_interaction_controller
::
make_element
(
'algebraic'
,
'ans1'
,
'ta1'
,
array
(
'boxWidth'
=>
15
));
$q
->
interactions
[
'ans2'
]
=
stack_interaction_controller
::
make_element
(
'algebraic'
,
'ans2'
,
'tas'
,
array
(
'boxWidth'
=>
15
));
$q
->
interactions
[
'ans3'
]
=
stack_interaction_controller
::
make_element
(
'algebraic'
,
'ans3'
,
'rp'
,
array
(
'boxWidth'
=>
5
));
$q
->
prts
=
array
();
$sans
=
new
stack_cas_casstring
(
'ans1'
,
't'
);
$tans
=
new
stack_cas_casstring
(
'ta1'
,
't'
);
$node
=
new
stack_potentialresponse_node
(
$sans
,
$tans
,
'SubstEquiv'
,
null
);
$node
->
add_branch
(
0
,
'='
,
0
,
''
,
-
1
,
''
,
'eq-0-0'
);
$node
->
add_branch
(
1
,
'='
,
1
,
''
,
-
1
,
''
,
'eq-0-1'
);
$q
->
prts
[
'eq'
]
=
new
stack_potentialresponse_tree
(
'eq'
,
''
,
true
,
0.3333333
,
null
,
array
(
$node
));
$feedbackvars
=
new
stack_cas_keyval
(
'v1 = first(listofvars(ans1)); ftm = setify(map(rhs,solve(ans1,v1)))'
);
$sans
=
new
stack_cas_casstring
(
'ans1'
,
't'
);
$tans
=
new
stack_cas_casstring
(
'ta1'
,
't'
);
$node0
=
new
stack_potentialresponse_node
(
$sans
,
$tans
,
'SubstEquiv'
,
null
);
$node0
->
add_branch
(
0
,
'='
,
0
,
''
,
1
,
''
,
'sol-0-0'
);
$node0
->
add_branch
(
1
,
'='
,
1
,
''
,
3
,
''
,
'sol-0-1'
);
$sans
=
new
stack_cas_casstring
(
'ans1'
,
't'
);
$tans
=
new
stack_cas_casstring
(
'ta2'
,
't'
);
$node1
=
new
stack_potentialresponse_node
(
$sans
,
$tans
,
'SubstEquiv'
,
null
);
$node1
->
add_branch
(
0
,
'='
,
0
,
''
,
2
,
''
,
'sol-1-0'
);
$node1
->
add_branch
(
1
,
'='
,
1
,
''
,
3
,
''
,
'sol-1-1'
);
$sans
=
new
stack_cas_casstring
(
'ans2'
,
't'
);
$tans
=
new
stack_cas_casstring
(
'ftm'
,
't'
);
$node2
=
new
stack_potentialresponse_node
(
$sans
,
$tans
,
'AlgEquiv'
,
null
);
$node2
->
add_branch
(
0
,
'='
,
0
,
''
,
-
1
,
''
,
'sol-2-0'
);
$node2
->
add_branch
(
1
,
'='
,
1
,
''
,
-
1
,
'You have correctly solved the equation you have entered in part 1. Please try both parts again!'
,
'sol-2-1'
);
$sans
=
new
stack_cas_casstring
(
'ans2'
,
't'
);
$tans
=
new
stack_cas_casstring
(
'tas'
,
't'
);
$node3
=
new
stack_potentialresponse_node
(
$sans
,
$tans
,
'AlgEquiv'
,
null
);
$node3
->
add_branch
(
0
,
'='
,
0
,
''
,
-
1
,
''
,
'sol-3-0'
);
$node3
->
add_branch
(
1
,
'='
,
1
,
''
,
-
1
,
''
,
'sol-3-1'
);
$q
->
prts
[
'sol'
]
=
new
stack_potentialresponse_tree
(
'sol'
,
''
,
true
,
0.3333333
,
$feedbackvars
->
get_session
(),
array
(
$node0
,
$node1
,
$node2
,
$node3
));
$sans
=
new
stack_cas_casstring
(
'ans3'
,
't'
);
$tans
=
new
stack_cas_casstring
(
'-rn'
,
't'
);
$node
=
new
stack_potentialresponse_node
(
$sans
,
$tans
,
'AlgEquiv'
,
null
);
$node
->
add_branch
(
0
,
'='
,
0
,
''
,
-
1
,
''
,
'short-0-0'
);
$node
->
add_branch
(
1
,
'='
,
1
,
''
,
-
1
,
''
,
'short-0-1'
);
$q
->
prts
[
'short'
]
=
new
stack_potentialresponse_tree
(
'short'
,
''
,
true
,
0.3333333
,
null
,
array
(
$node
));
$q
->
options
=
new
stack_options
();
return
$q
;
}
}
This diff is collapsed.
Click to expand it.
stack/cas/simpletest/test.keyval.class.php
+
1
−
2
View file @
a72d0f91
...
...
@@ -74,8 +74,7 @@ class stack_cas_keyval_test extends UnitTestCase {
}
class
stack_cas_keyval_exception_test
extends
UnitTestCase
class
stack_cas_keyval_exception_test
extends
UnitTestCase
{
public
function
test_exception_1
()
{
$this
->
expectException
();
...
...
This diff is collapsed.
Click to expand it.
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