development of a trans-field learning system based on multidimensional topic maps

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Development of a Trans-Field Learning System Based on Multidimensional Topic Maps Shu Matsuura Tokyo Gakugei University, Faculty of Education

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A knowledge base consisting of topic maps of various fields, such as physics, chemistry, earth science, industry, daily life, history etc., was constructed for an online learning system. Topics in different fields were interlinked by using specific inter-field associations. Also, topics that were cited in more than one field were put in the field where they are most central and were also linked in the contexts of each of the other field. This indicates the multidimensionality of topics linked with multiple topic maps. In addition to the main knowledge base, two types of topic map with smaller granularity were created for test cases. The first was for the expression of variant definitions of basic quantities for various grade levels, and the second was for generating instruction scenarios. These micro-topic maps were linked to the main knowledge base map by attaching the same subject identifiers to corresponding topics in both maps.

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Page 1: Development of a Trans-Field Learning System Based on Multidimensional Topic Maps

Development of a Trans-Field Learning SystemBased on Multidimensional Topic Maps

Shu Matsuura

Tokyo Gakugei University, Faculty of Education

Page 2: Development of a Trans-Field Learning System Based on Multidimensional Topic Maps

An online learning system: “Everyday Physics on Web”

supported by Naito-san.

• To associate knowledge in a wide variety of To associate knowledge in a wide variety of fieldsfields

subject: Physics, Chemistry, Biology, Earth Sicence, subject: Physics, Chemistry, Biology, Earth Sicence, Astronomy, Environment, Sustainability, Industory, Astronomy, Environment, Sustainability, Industory, Aritifact, Daily Life, Policy, History of Science,,,Aritifact, Daily Life, Policy, History of Science,,,

• For informal learning and for self-learning ( of For informal learning and for self-learning ( of students, teacher,,,).students, teacher,,,).

• Topic Maps application server: Ontopia Topic Maps application server: Ontopia Navigator FrameworkNavigator Frameworkat http://tm.u-gakugei.ac.jp:8080/epw/at http://tm.u-gakugei.ac.jp:8080/epw/Thanks to open-source Ontopia.Thanks to open-source Ontopia.

Page 3: Development of a Trans-Field Learning System Based on Multidimensional Topic Maps

Photo topic link with http://psi.garshol.priv.no/tmphoto/ by TMRAP.

This site started on Sep. 2009.

Page 4: Development of a Trans-Field Learning System Based on Multidimensional Topic Maps

Change from Course-centric to Subject-centric

Course-centric portal for online learning Course-centric portal for online learning (<2007)(<2007)

- easy to start course learning- easy to start course learning- fragmented knowledge- fragmented knowledge

           - restrict the range of learning - restrict the range of learning

Subject-centric, Subject-centric, association-centric portalassociation-centric portalOne can start with any One can start with any topic, and recorded and topic, and recorded and evaluated. (<2009)evaluated. (<2009)

Topic map based Topic map based trans-field learning portaltrans-field learning portalfor informal learning.for informal learning.

Page 5: Development of a Trans-Field Learning System Based on Multidimensional Topic Maps

position and displacementposition and displacement

velocityvelocity

accelerationaccelerationaccelerationacceleration

inertiainertiainertiainertia

a = f/ma = f/ma = f/ma = f/m

momentummomentummomentummomentum

action, action, reactionreactionaction, action,

reactionreaction

normal forcenormal forcenormal forcenormal force

frictionfrictionfrictionfriction

workworkworkwork

position and displacementposition and displacement

velocityvelocity

accelerationaccelerationaccelerationacceleration

inertiainertiainertiainertia

a = f/ma = f/ma = f/ma = f/m

action, action, reactionreactionaction, action,

reactionreaction

normal forcenormal forcenormal forcenormal force

frictionfrictionfrictionfriction

workworkworkworkDistributed knowledgeis_based_on associationDistributed knowledgeis_based_on association

Sequential learningpreceding_following associationSequential learningpreceding_following association

Associations of knowledge is not in a straight line.

1. Avoid fragmentation of knowledge

Page 6: Development of a Trans-Field Learning System Based on Multidimensional Topic Maps

CourseCourse

Learning ResourceLearning Resource

Learning RecordLearning Record

Course-centricCourse-centricLearning ManagementLearning ManagementSystemSystem

Course-centricCourse-centricLearning ManagementLearning ManagementSystemSystem

• learning order assoc.learning order assoc.• intra-field assoc.intra-field assoc.• inter-field assoc.inter-field assoc.

Our Our Topic Maps-DrivenTopic Maps-DrivenPortalPortal

Our Our Topic Maps-DrivenTopic Maps-DrivenPortalPortal

Course-centric LMS tends to restrict the range of study.

Topic maps-driven learning system will be appropriate to free-style self-learning.

“Courses” are embedded into theassociation “preceeding_following”.

“Subjects” are embedded in the course.

Page 7: Development of a Trans-Field Learning System Based on Multidimensional Topic Maps

Radar chart of number of learning recordson 5 fields of physics for individual learner

z 方向

“a learning vector” : L = nieri + Nez

An index a for the anisotropy of learning found in the radar chart.

a = |nieri| / N

eri is the unit vector of i’th fieldni is the number of learning records on i’th field

Page 8: Development of a Trans-Field Learning System Based on Multidimensional Topic Maps

Anisotropy of learning vs. amount of request of individuals

aniostropy index a

a = |nieri| / NN

a

Filled black circle ●: course-centric portal used.

- Students who have large amount of request showed broader range of the anisotropy.- Students who have small amount of request showed relatively high anisotropy.

using topic maps portal (○, , □)△ :

→ Variation in the ways of learning appeared through the repetition of study.

Page 9: Development of a Trans-Field Learning System Based on Multidimensional Topic Maps

Text on Text on “force”“force”

Text learning Text learning record record on “force”on “force”

is_subject of_ResourceText

is_subject of_TextLearningRecord

““Force” Force” subjectsubject

subject asubject a

subject bsubject b

is_based on

A Portal forA Portal for

Page 10: Development of a Trans-Field Learning System Based on Multidimensional Topic Maps

Field Subject δ

Field Subject δ

Learning Resource layer

Learning Record layer

subject a1subject a1

subject a2subject a2

subject b1subject b1

subject b2subject b2

sub-field asub-field a

Subject Space

Field Subject αField Subject αField Subject γField Subject γ

sub-field bsub-field b

Field Subject β

Field Subject β

Inter-Field Subject Association

Fields: Physics, Chemistry, Biology, Earth Science, Astronomyenvironment, sustainability, daily life, history, policy, history

Page 11: Development of a Trans-Field Learning System Based on Multidimensional Topic Maps

Taxonomy of topic types.Taxonomy of topic types.

Tracing up and down the hierarchy, one can find out sub-Tracing up and down the hierarchy, one can find out sub-domains to explore.domains to explore.

Page 12: Development of a Trans-Field Learning System Based on Multidimensional Topic Maps

Types of associations inside the fields look to reflect the Types of associations inside the fields look to reflect the characteristics of the field.characteristics of the field.

Intra- and Inter-field subject association.Intra- and Inter-field subject association.

Tracing the associations between topic instances is another Tracing the associations between topic instances is another way to explore subjects.way to explore subjects.

Page 13: Development of a Trans-Field Learning System Based on Multidimensional Topic Maps
Page 14: Development of a Trans-Field Learning System Based on Multidimensional Topic Maps

subject a1

subject a1

a3a3 a2a2

a4a4

subject b1

subject b1

b2b2 b3b3

b4b4

subject c1

subject c1

c4c4

c3c3

c2c2

Field αField α

Field Field ββField Field ββField γField γ

trans-field associations

retrieved topic

Image of a possible visualized interfacefor trans-field association.

Page 15: Development of a Trans-Field Learning System Based on Multidimensional Topic Maps

Our present page for an instance topic:type hierarchy structure + associated topics & their occurrences.

At present:

Page 16: Development of a Trans-Field Learning System Based on Multidimensional Topic Maps

An example of topic instance page

Google Earth, Map & YouTube as occurrences of the topic instance.

Page 17: Development of a Trans-Field Learning System Based on Multidimensional Topic Maps

Light scatteringLight scattering

Mie theoryMie theory

Tyndal 現象Tyndal 現象

Dispersed system

Dispersed system

Properties of matter

Properties of matter

Colloidal phenomena

Colloidal phenomena

Atmospheric science

Atmospheric science

Atmospheric optics

Atmospheric optics

Crepuscular rayCrepuscular ray

PhysicsChemistryEarth Science

• “Tyndal effect” is positioned in three context coordinates.• Due to the consistency of topics, topic instance cannot be duplicated.• Knowledge of Tyndal effect will be refined through understanding in the multiple fields.Tyndal 現象Tyndal 現象Tyndal

effectTyndal effect

A shared topic

Page 18: Development of a Trans-Field Learning System Based on Multidimensional Topic Maps

physics axisphysics axis

chemistry axischemistry axis

earth science axisearth science axis

Light scattering

Light scattering

Mie theory

Mie theory

Dispersed system

Dispersed system

Colloidal phenom

enaColloidal

phenomena

Atmospheric science

Atmospheric science

Atmospheric optics

Atmospheric optics

Crepuscular ray

Crepuscular ray

Tyndal effectTyndal effect

Tyndal effect

Tyndal effect

Tyndal effectTyndal effect

Tyndal effect

Tyndal effect

A multidimensional representation of a shared topic

Page 19: Development of a Trans-Field Learning System Based on Multidimensional Topic Maps

subject a1

subject a1

a3a3a2a2

a4a4

subject a1

subject a1

b2b2b3b3

b2b2

subject a1

subject a1

c4c4

c3c3

c2c2

Field αField α

Field Field ββField Field ββField γField γ

subject a1

subject a1

subject a1

subject a1

A topic shared by 3 fields

A shared topic is located at several corresponding fields.

Page 20: Development of a Trans-Field Learning System Based on Multidimensional Topic Maps

subjec

t a1su

bject a1

b2b2

b3b3

b2b2

subject a1

subject a1

c4c4

c3c3c2c2

subject a1

a3a3a2a2

a4a4

Field αField α

Field Field ββField Field ββ

Field γField γ

An image of possible visualized interfacefor multidimensional association.

“covalent bond”?

Page 21: Development of a Trans-Field Learning System Based on Multidimensional Topic Maps

subjec

t a1su

bject a1

b2b2

b3b3

b2b2

subject a1

subject a1

c4c4

c3c3c2c2

subject a1

a3a3a2a2

a4a4

Field αField α

Field Field ββField Field ββ

Field γField γ

Making fine structure around a topic, by adding a micro topic map

a “micro” topic mapthat has common topicswith main map.

Connect a micro topic map to the main mapin the application (not merging maps).

a3a3

a2a2

Page 22: Development of a Trans-Field Learning System Based on Multidimensional Topic Maps

Work

Elementary Def. of Work

Scalar Force

Distance

Fundamental Def. of Work

Generalized Def. of Work

Is defined by

Is a function of

Vector Force

Displacement

multiplication

Scalar Product

Integral

uses operation of

A micro topic map of the definition of “Work” at three levels of generalization.

Page 23: Development of a Trans-Field Learning System Based on Multidimensional Topic Maps

Instruction Scenario

Introductive Experiment

Introductive Experiment

QuestionsQuestions

Experimental Evidence

Experimental Evidence

UnderstandingUnderstanding

precedesQuestion topicsQuestion topics

Basic Physics Subject

Basic Physics Subject

Basic Chemistry Subject

Basic Chemistry Subject

Daily Life Subject

Daily Life Subject

Physics Experiment

Physics Experiment

Scenario Type topicsScenario Type topics

An example of instruction scenario topic map with hands-on experiments.Knowledge topics and experiment topics are applied to a scenario type.

Page 24: Development of a Trans-Field Learning System Based on Multidimensional Topic Maps

1.1. Multiple-subject topic maps for science and technology Multiple-subject topic maps for science and technology fields were introduced, and trans-subject associations fields were introduced, and trans-subject associations were used to interlink topics in different fields.were used to interlink topics in different fields.

2.2. We discussed a multidimensional character of this topic We discussed a multidimensional character of this topic map system.map system.

3.3. Two types of micro-topic maps were created and linked Two types of micro-topic maps were created and linked with the main multidimensional map by using identical with the main multidimensional map by using identical subject identifiers for common topics.subject identifiers for common topics.

4.4. It was suggested that topic maps for various purposes It was suggested that topic maps for various purposes could be created flexibly, using the main multi-field could be created flexibly, using the main multi-field subject topic map as a knowledge base.subject topic map as a knowledge base.

Concluding remarks.