Source: Erica Melis Approximate Plan of the Course 21.4. Introduction 28.4. ActiveMath Vorstellung /Introduction to ActiveMathActiveMath Vorstellung /Introduction.

Source: Erica Melis

Approximate Plan of the Course

• 21.4. Introduction• 28.4. ActiveMath Vorstellung /Introduction to ActiveMath • 12.5. Benutzermodellierung/user modeling • 19.5. .instructional design • 2.6. support of meta-cognition• 9.6. XML knowledge representation, adaptive hypermedia• 16.6. collaborative learning/ Lernen in Gruppen • 23.6. diagnosis• 30.6. action analysis• 7.7 further topics (tutorial dialogues, mobile learning..)• 14.7. student project reports

Source: Erica Melis

Learning by Constructing Knowledge

Interpreting information rather than recoding

KNOWLEDGE CONSTRUCTION

Make sense of informationRelate to preexisting knowledgerelate to personal experienceelaborate new informationrestructure existing schemas

internal process -> self-regulate, -inspect

when, why, how?

Source: Erica Melis

What are Meta-Cognitive Activities?

• self-regulation– planning and monitoring, evaluating problem solving– planning and monitoring of learning– Role in collaborative learning

• constructing relationships between concepts • reflection

– Self-explanation of examples– self-explanation of exercises– analysis

• actively seeking help or information

When, why, how (cognitive, strategies and self)

Source: Erica Melis

How to Stimulate Meta-Cognition

• PROVIDE structure(s)• REQUEST articulation of strategies and knowledge• for self-explaining examples, exercises

– why is this step done?– how does the step correspond to the plan?

• Is this solution finished? (for monitoring)• compare the solutions!• MAKE AWARE: erroneous examples

– Web!

• More in Wizard of Oz experiments

Source: Erica Melis

Problem solving: How to Solve it, George PolyaGeorge Polya

• Understand the problem• Plan a solution• Execute the plan, keep track of solution• Analyze whether it worked• Generalize solution

Bild von Buch und Polya

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Open Learner Model

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Andes: Sample instructional material

Problem Statement

SituationDiagram

Free BodyDiagram

Worked outsolution

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SE-Coach of Andes

• User interface: – workbench presents examples (PME, latency data)– incrementally promts SE – has tools for SE (browser, templates)

• student model (BN) for plan recognition and mastery from reading, menu selection, template filling...

• BN includes model of correct SE with rules, action nodes

• adequate minimal help when?: if SE not performed and– due to lack of attention, guide to example parts.– If due to lack of knowledge, request SE

Source: Erica Melis

The Interface: Masking User Interface

• Helps students focus attention and SE-Coach monitor it

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SE-Coach of Andes, Help

• Records time of reading steps of worked-out example (latency data)

• If time too short and prediction of prerequisite low then promt explanation menu (+support)– Menus contain either prerequisite Newtonian

Physics laws or plan steps

Self-explanation of examples

Source: Erica Melis

SE-Coach of Andes: Help, promts

Solution step xxx

Self-explain:This fact is true because...The role of this fact in the solution plan is to ...

This choice is correct because...The role of this choice in the solution plan is to...

Using the rule browser and plan browser

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Prompts to Self-Explain

• Stimulate self-questioning on relevant explanations

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SE-Coach Hints

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Justify Solution Steps: Rule Browser

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Identify Goal Structure - Plan Browser

• Encodes abstract solution plan

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SE exercises in Geometry Explanation Tutor

• students explain steps in own words or name of principle

• evaluate student‘s restricted input (correct? category?)• helps through restricted dialogue to arrive at

mathematically precise explanation• knowledge-based: hierarchy of 149 explanation

categories. For each rule – one or more correct and complete ways to state

each geometry rule– numerous incomplete or incorrect ways

self-explanation of exercises

Source: Erica Melis

Geometry Explanation Tutor, example explanations

• Category: complem-angles-sum-180– the sum of the measures of

compl angles is 180 degrees

• Category: complem-angles-sum-180– compl angles are 180

degrees

complete and correct incomplete or incorrect

Source: Erica Melis

Geometry Explanation Tutor, example

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SciWise and ThinkerTools *

Meta-cognitive activities:

Formulate Question

hypothesize

investigate

analyzepatterns

model

transferInquiry cycle

Source: Erica Melis

ThinkerTools:ThinkerTools: Form for Inquiry Learning

• Question– which general topic chosen, Why?– Which questions to investigate,Why?

• Hypothesize– write down predictions, 2 different hypotheses– explaination for hypothesis

• Investigate– describe how you investigate, justify this way– show data etc in table, graph,..

• Analyze– describe patterns– discuss (poss errors)

• Model– summarize conclusions, relate to question– how data support conclusion

Project outline

Source: Erica Melis

SciWiseSciWise: reflective goal-driven inquiry

Task advisors General advisors

inquirer presenter assessor

questioner

hypothesizer

investigator

cognizer socializer

Inventorplannerreasonerrepresenter

collaboratordebatormediatorcommunicator

analyzermodeleredvaluator

advisors incl cognitive and social aspects

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A Sequence of interactions with agents

• Student start research by consulting Task Advisor

• Get advice from General Purpose Advisor• Work with system Developer Advisor (Modifier)

to try to improve General Purpose Advisor

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Advisor Agent: Helena Hypothesizer

• Hi, here are some things I can do for you: – (1) describe characteristics of a good hypothesis– (2) suggest strategies for creating hyps and advisors– (3) evaluate your hyps to see whether they need revision

...good strategy to start with...the Inventor might be asked

Source: Erica Melis

SciWise advisor: Ian Inventor

• So you need help coming up with ideas for your hypotheses? I‘m the right advisor for that. I know billions of ways to gernerate ideas. Pick the strategy that best suits you– fast and loose– control freak.

Good choice! Fast and loose is my favorite

Relax and turn your mind loose.Think of as many ideas as you can find in 5 minutes. The ideas can be crazy or serious...

Source: Erica Melis

SciWise Agents‘ knowledge BDI

agent knows: its expertise, goals when useful, how to get more info, decide what to do, learn, other agents

agent has condition-action rules to control behaviour IF another advisor recommends you THEN pop up IF start THEN show examples of how others did this task

agent has knowledge base for advice and assistance strategies for achieving goals (be inventive...) which advisors can help for a problem assessment criteria examples of good and bad hypotheses

Source: Erica Melis

Mind Maps

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Make Connections (project)

• between concepts in different contexts: – Fraction: proportion – increase/decrease –

part-of

• between maths and real world problems– Decimals: 2,50 = 2 euro + 50 cent– 2,5 = 2 hours + 30 minutes

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‚IMPROVE method‘(coll mathematics)– meta-cognitive prompts:

• what is the problem? Read aloud! Describe concepts in own words! Which category of problems?

• differences /sim of this and other problems? • Which strategy/principle is appropriate here? How

can the plan carried out? Why is the strategy appropriate?

– explain reasoning during problem solving by answering prompts

– when failed to solve or no agreement , then show prompts

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Erroneous Examples

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Erroneous Examples, Bruchrechung

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Protocols of Human Dialogs, 69 prompts

• Any thought about this sentence?• Do you want to say something about this?• Could you explain what you are thinking?• Could you explain the concept discussed in the

sentence?• Please explain what this sentence says• what do you think?• What could you learn from the paragraph?• Anything else?• Why?• How‘s that? ....

Source: Erica Melis

Wizard of Oz• Write meta-cognitive prompts and actions on cards• group: learner, tutor, protocol• add actions and prompts later if necessary

• How to foster self-regulation?• which types of meta-reasoning for problem solving/

for learning /for self-control?• Which (prompts for) SE and other meta-cognition?• does explicit meta-cognitive guidance help?• which knowledge would an inventor agent need?• …• Which functionalities of erroneous examples?

Source: Erica Melis

Woz instructional design:Jörg,…

• Newtonean physics• Arrage question with dependency• Make student understand formula: diagams,

real world actions• Provide more knowledge about gravity, electo-

magnetics, • Tried to ask for similarities and differences,

dependencies• Ask – don‘t tell (basic facts, support by

examples)