implemented discussed onto-model for exams // except invariants
This commit is contained in:
parent
c8d87af2e6
commit
c0812396de
|
|
@ -29,134 +29,134 @@ where the author of the exam is not expected to be physically present.
|
|||
\<close>
|
||||
|
||||
|
||||
datatype ContentClass = setter | checker | externalExaminer | student
|
||||
datatype content_class = setter | checker | external_examiner | student
|
||||
|
||||
text\<open>Tasks, Answers and Solutions are grouped into the \<^emph>\<open>categories\<close>
|
||||
\<^enum> \<open>main\<close> and
|
||||
\<^enum> \<open>sub\<close>. \<close>
|
||||
|
||||
datatype category = main | sub
|
||||
|
||||
doc_class Author =
|
||||
doc_class author =
|
||||
affiliation :: "string"
|
||||
roles :: "ContentClass set"
|
||||
roles :: "content_class set"
|
||||
email :: "string"
|
||||
|
||||
|
||||
doc_class Exam_item =
|
||||
level :: "int option"
|
||||
concerns :: "ContentClass set"
|
||||
visible_for :: "ContentClass set"
|
||||
doc_class exam_item =
|
||||
level :: "int option"
|
||||
concerns :: "content_class set"
|
||||
visible_for :: "content_class set"
|
||||
|
||||
doc_class Header = Exam_item +
|
||||
date :: string
|
||||
authors :: "Author list"
|
||||
timeAllowed :: int (* minutes *)
|
||||
doc_class header = exam_item +
|
||||
date :: string
|
||||
authors :: "author list"
|
||||
timeAllowed :: int (* minutes *)
|
||||
|
||||
doc_class marking = Exam_item +
|
||||
|
||||
datatype prog_lang = python | C | java | Haskell | SML
|
||||
|
||||
|
||||
doc_class marking = exam_item +
|
||||
marks :: int
|
||||
|
||||
doc_class Answer_Element = Exam_item +
|
||||
justification :: string
|
||||
"term" :: "string"
|
||||
|
||||
doc_class text_answer = Answer_Element +
|
||||
"term" :: "string"
|
||||
|
||||
doc_class program_text = Answer_Element +
|
||||
"term" :: "string"
|
||||
|
||||
doc_class formula_text = Answer_Element +
|
||||
"term" :: "string"
|
||||
|
||||
doc_class checkbox = Answer_Element +
|
||||
"term" :: "string"
|
||||
|
||||
doc_class radiobuttons = Answer_Element +
|
||||
"term" :: "string"
|
||||
|
||||
doc_class equational_derivation = Answer_Element +
|
||||
"term" :: "string"
|
||||
|
||||
doc_class proof_derivation = Answer_Element +
|
||||
"term" :: "string"
|
||||
doc_class answer_element = exam_item +
|
||||
cat :: category
|
||||
(* justification :: string
|
||||
"term" :: "string" *)
|
||||
|
||||
|
||||
doc_class Answer_YesNo = Exam_item +
|
||||
step_label :: string
|
||||
yes_no :: bool (* \<open>for checkboxes\<close> *)
|
||||
doc_class text_answer = answer_element +
|
||||
"term" :: "string"
|
||||
|
||||
datatype Question_Type =
|
||||
formal | informal | mixed
|
||||
doc_class program_text = answer_element +
|
||||
prog_lang :: prog_lang
|
||||
pre_filled :: "string" <= "\<open>This is a text with \<alpha>, \<beta>, \<gamma>\<close>"
|
||||
|
||||
doc_class formula_text = answer_element +
|
||||
"term" :: "string"
|
||||
|
||||
doc_class checkbox = exam_item +
|
||||
"value" :: "bool option"
|
||||
|
||||
doc_class checkboxes = answer_element +
|
||||
marks :: int
|
||||
accepts "\<lbrace>checkbox\<rbrace>\<^sup>+"
|
||||
|
||||
doc_class radiobutton = exam_item +
|
||||
"value" :: "bool option"
|
||||
"term" :: "string"
|
||||
|
||||
doc_class radiobuttons = answer_element +
|
||||
"term" :: "string"
|
||||
accepts "\<lbrace>radiobutton\<rbrace>\<^sup>+ "
|
||||
|
||||
datatype opn = eq | equiv | refines | refined_by
|
||||
|
||||
doc_class equational_derivation = answer_element +
|
||||
eq_deriv :: "(opn option \<times> term option) list"
|
||||
|
||||
(* these two could be refined substantially *)
|
||||
doc_class proof_derivation = answer_element +
|
||||
"term" :: "term list"
|
||||
|
||||
doc_class answer = exam_item +
|
||||
cat :: category
|
||||
accepts "\<lbrace>answer_element\<rbrace>\<^sup>+ "
|
||||
|
||||
|
||||
datatype task_type = formal | informal | mixed
|
||||
|
||||
doc_class Task = Exam_item +
|
||||
local_grade :: marking
|
||||
type :: Question_Type
|
||||
concerns :: "ContentClass set" <= "{setter,student,checker,externalExaminer}"
|
||||
mark :: int
|
||||
doc_class task = exam_item +
|
||||
cat :: category
|
||||
local_grade :: marking
|
||||
type :: task_type
|
||||
concerns :: "content_class set" <= "{setter,student,checker,external_examiner}"
|
||||
mark :: int
|
||||
|
||||
|
||||
doc_class SubTask = Task +
|
||||
local_grade :: marking
|
||||
|
||||
doc_class Exercise = Exam_item +
|
||||
content :: "(Task) list"
|
||||
concerns :: "ContentClass set" <= "{setter,student,checker,externalExaminer}"
|
||||
|
||||
|
||||
text\<open>In many institutions, it makes sense to have a rigorous process of validation
|
||||
for exam subjects : is the initial question correct ? Is a proof in the sense of the
|
||||
question possible ? We model the possibility that the @{term setter} validates a
|
||||
question by a sample proof validated by Isabelle. In our scenario this sample proofs
|
||||
are completely @{emph \<open>intern\<close>}, i.e. not exposed to the students but just additional
|
||||
material for the internal review process of the exam.\<close>
|
||||
|
||||
doc_class Validation =
|
||||
doc_class validation =
|
||||
tests :: "term list" <="[]"
|
||||
proofs :: "thm list" <="[]"
|
||||
|
||||
doc_class solution = exam_item +
|
||||
cat :: category
|
||||
motivation :: string
|
||||
valids :: "validation list"
|
||||
objectives :: string
|
||||
concerns :: "content_class set" <= "{setter,checker,external_examiner}"
|
||||
|
||||
doc_class Solution = Exam_item +
|
||||
valids :: "Validation list"
|
||||
concerns :: "ContentClass set" <= "{setter,checker,externalExaminer}"
|
||||
|
||||
doc_class Context_Description = Exam_item +
|
||||
label :: string
|
||||
|
||||
doc_class MathExam =
|
||||
global_grade :: int
|
||||
accepts "Header ~~ \<lbrace>Author\<rbrace>\<^sup>+ ~~ Context_Description ~~ \<lbrace>Task ~~ Solution\<rbrace>\<^sup>+ "
|
||||
doc_class exercise = exam_item +
|
||||
concerns :: "content_class set" <= "{setter,student,checker,external_examiner}"
|
||||
accepts "\<lbrace>task ~~ answer\<rbrace>\<^sup>+ ~~ \<lbrace>solution\<rbrace>\<^sup>+"
|
||||
|
||||
|
||||
doc_class context_description = exam_item +
|
||||
label :: string
|
||||
|
||||
doc_class math_exam =
|
||||
global_grade :: int
|
||||
accepts "header ~~ \<lbrace>author\<rbrace>\<^sup>+ ~~ context_description ~~ \<lbrace>exercise\<rbrace>\<^sup>+ "
|
||||
|
||||
|
||||
|
||||
(*
|
||||
tasks > subtask
|
||||
text\<open> Invariants (not yet implemented):
|
||||
|
||||
answer > subanswer
|
||||
\<^enum> the task list must start with a \<open>main\<close> category.
|
||||
|
||||
|
||||
answer_element
|
||||
- text
|
||||
- program-text ? ? ?
|
||||
- checkbox
|
||||
- radiobutton
|
||||
- equational derivation
|
||||
- proof derivation
|
||||
\<^enum> solutions must structurally match to answer blocks, i.e. coincide in
|
||||
category and corresponding answer elements
|
||||
|
||||
solution > subsolution
|
||||
- text
|
||||
- program-text
|
||||
- checkbox
|
||||
- radiobutton
|
||||
- equational derivation
|
||||
- proof derivation
|
||||
\<^enum> one-to-n relation between answer_elements and solutions
|
||||
|
||||
marking > submarking
|
||||
|
||||
grade
|
||||
\<^enum> invariants over markings and grades : sub-task must sum up to task grades, exo
|
||||
marks to the global grade.
|
||||
|
||||
Invarianten:
|
||||
1 : n Relation answer_element \<longrightarrow> subsolution
|
||||
\<^enum> distribution constraints: subtask should have no more than 25 % of overall grade.
|
||||
|
||||
2 : invariants over markings and grades
|
||||
\<close>
|
||||
|
||||
3 : distribution constraints: subtask should have more than 25 % of overall grade
|
||||
|
||||
*)
|
||||
|
||||
|
||||
|
||||
|
|
|
|||
Loading…
Reference in New Issue