Information Technology Reference
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Example: The item can be an image (so ty-
pe
all
= “image”), thus can have attributes such as
resolution, width, height, type (JPEG, TIFF). The
content of the item type attributes is defined in
the following definition.
Definition 6:
An
item type attribute
ta
DA
DA
, where
DA
is a set of optional domain
attributes, which describe the module in general.
Example: A lesson on the topic of the financial
crisis can be represented as one module, which
can have a set of sections (anchors to items) such
as “Types of financial crisis” or “Banking crisis”
(Figure 5). These sections can be interlinked hi-
erarchically, or in other ways.
Definition 9:
A
domain concept
(or
anchor
)
⊆
IA
is a tuple <id, type
all
, type, val> where id is the
item identifier, type
all
the overall type name, type
is the name of a particular type attribute, and val
is the value (contents) of the item type attribute.
Example
:
An item of an overall type 'image'
can have a subset of attributes, such as width (type
= width and value = 400px), resolution (type =
resolution and value = 300dp), image file exten-
sion (type = file extension, and value = JPG), etc.
∈
dc
DC
is defined by the tuple < M
dc
,
i
dc
,
DA
dc
,
DL
dc
> where M
dc
∈
DM
is the module the domain
concept belongs to, i
dc
is an
item identifier
,
DA
dc
∈
∈
DA
is a set of optional DM concept attributes;
and
DL
dc
DL
is a set of domain links the domain
concept is participating in.
Example: A domain concept (or anchor) links
to a resource. For instance, it could point to a
content item called “World system theory” (see
Figure 5). Keeping domain concepts and content
items separately ensures that a different domain
concept could also point to the same item, thus
effectively reusing the material within a different
module.
Constraint 1:
Each module M
⊆
Social Domain Model
Definition 7:
The
social domain model DM
is
formed by the
set of all domain maps
(also called
modules
,
DM
CM
), containing all information
on the social adaptive system (SAS) relevant
to the domain of the application: the
set of all
domain concepts
(
anchors
)
DC
⊆
C
, the
set
of all domain links between domain anchors
DL
DM
is re-
quired to have a minimal set of concepts
DC
min
(
DC
⊆
∈
L,
and the
set of all attributes describing
anchors DA
) which corresponds, via the
anchoring system, to a minimum set of items
I
min
(
IC
⊇
DC
min
≠
∅
⊆
A
.
Example: The collection of all modules is an
abstract term, including collections of all modules
taught in a social personalized adaptive environ-
ment: for example, in a university economics
department, these might include “Financial cri-
sis” (Figure 5, also the topic of scenarios 1-5),
“The Industrial Revolution: Growth and Living
Standards” and “Development Economics (Mac-
roeconomics)”.
The composing terms are defined below.
Definition 8:
A
module
M
⊆
). Here, M is an instance of
DM
.
Example: As the module may represent a les-
son, it should not be empty and should contain
at least one item.
Definition 10:
A
domain link
dl
⊇
I
min
≠
∅
∈
DL
is a
tuple <
S
,
E
> with
S
,
E
), respectively
start
and
end
sets of domain model concepts.
Example: A simple example of domain links
consists of
hierarchical
relations. Items can have
hierarchical relations (links) between themselves,
such as between “Theories of financial crisis” and
“Minsky's theory” (see Figure 5). This relation
(link) could be used for adaptation purpose, for
instance to show the resources related to the item
“Theories of financial crisis” before “Minsky's
theory”. This would fit a depth-first approach,
used, for example, for sequential learners. Dif-
DC
,
(
S, E
≠
∅
⊆
DM
(also called
domain concept map
) of the social adaptive sys-
tem (SAS) is determined by the tuple <
DC, DL,
DA
>, where
DC
∈
DC
is a set of domain concepts
⊆
(
DC
≠
, there should be at least one domain
concept - an anchor - in the module),
DL
∅
DL
is a set of domain links between the concepts and
⊆
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